Undergraduate Handbook - DePaul UniversityThe Lab schedules are generally posted online and outside the door, and at go.depaul.edu/math. These spaces also make compu ng available through

Undergraduate Handbook

Department of Mathematical Sciences

Winter 2017 v.2

Why Mathema cs? ........................................................ 1

Mathema cs at DePaul .................................................. 1

Student Resources, Ac vi es & Organiza ons ............... 2

Student Organiza ons ................................................... 4

Scholarships ................................................................... 5

Student Awards & Prizes ................................................ 5

B.A./B.S. Mathema cal Sciences Overview .................... 6

B.A. Mathema cal Sciences Major Requirements ........... 7

Common Core ................................................................ 7

Concentra ons .............................................................. 8

Actuarial Science ............................................................ 8

Applied & Computa onal Mathema cs ....................... 10

Financial Mathema cs ................................................. 12

Individualized Concentra on ........................................ 13

Pure Mathema cs ........................................................ 14

Quan ta ve Analysis & Opera ons Research ............... 16

Sta s cs ........................................................................ 17

B.S. Actuarial Science ................................................... 18

B.S. Mathema cs & Computer Science ......................... 20

Combined Bachelor’s/Master’s Degrees ....................... 26

Minors ......................................................................... 34

Mathema cs Minor ...................................................... 34

Sta s cs Minor ............................................................. 35

Course Descrip ons ..................................................... 36

Prerequisite Charts ...................................................... 42

Course Scheduling ........................................................ 44

Directory ..................................................................... 46

Quick Connec ons ....................................................... 49

Contents

Copyright 2017. All rights reserved. DePaul University, Chicago, Illinois.

Contents edited for format, and subject to change. The material contained herein is only adviso-ry, and shall not cons tute an official informa on source for the Department of Mathema cal Sciences or for DePaul University. For official informa on, please visit www.depaul.edu.

Schmi Academic Center 502

2320 N. Kenmore Ave Chicago, IL 60614-3250

773-325-7806 773-325-7807 FAX

Dr. Ahmed Zayed Department Chair

[email protected] 773-325-7808

Nydia Rodriguez Department Assistant


Teresita Gomez Office Assistant


Department of Mathema cal Sciences

1

Themathematician’s patterns, like the painter’s or the poet’s,must be beautiful; theideas,likethecoloursorthewords,must ittogetherinaharmoniousway.Beautyistheirsttest:thereisnopermanentplaceintheworldforuglymathematics.—G.H.Hardy

Why Mathema cs?

M athema cs, as a study of pa erns—both prac cal and abstract—involves analy cal thought,

logical reasoning, problem solving skills, and precise communica on. Because of its power and

versa lity, mathema cs has been crowned “Queen of the Sciences.” There is no field of scien fic inquiry

that does not express itself through the language of mathema cs. The kinds of analy cs and logical

thinking skills that one develops while studying mathema cs are precisely the skills that recruiters look

for in poten al employees. Jobs involving significant mathema cal background also consistently rank

near the top of the list in annual career surveys. In CareerCast.com's 2016 rankings of the 200 best jobs,

among the top ten were: (#1) Data Scien st, (#2) Sta s cian, (#6) Mathema cian, and (#10) Actuary.

Other highly-ranked jobs requiring a large amount of mathema cal background included So ware

Engineer (#7), Computer Systems Analyst (#8), Biomedical Engineer (#14), Financial Analyst (#27),

Economist (#24), Petroleum Engineer (#20), Meteorologist (#16), Physicist (#21), Pharmacist (#29), and

Accountant (#33). Other careers that depend deeply on mathema cs:

An undergraduate degree in mathema cs provides an excellent founda on for those interested in

pursuing advanced degrees in mathema cs or other more specialized professions, some of which are

listed above. Mathema cs is also an outstanding pre-professional degree for students considering allied

fields such as law, business administra on, and medicine.

Mathema cs at DePaul

The department offers a BA or BS in Mathema cs, a BS in Actuarial Science, and a BS in Mathema cs &

Computer Science, as well as a minor in either Mathema cs or Sta s cs. It also offers Combined

Bachelor of Mathema cal Sciences (BA/BS) and graduate degrees in Applied Mathema cs (MS), Applied

Sta s cs (MS), Pure Mathema cs (MS), and Secondary Educa on Mathema cal Sciences (MEd), all of

which allow comple on of a bachelor's degree and a graduate degree in five years.

Actuarial and Insurance

Actuary, Insurance Underwriter, Accountant, lnvest-ment Analyst, Benefits Specialist, Financial Planner, Banker

Health

Ecologist, Biomathema cian, Biomedical Engineer

Computer & Informa on Sciences

Computer Programmer, Data Processor, Database Manager, Applica ons Programmer, Systems Analyst, Computer Applica ons Engineer, Control Systems Engineer, Numerical Analyst, Opera ons Analyst, Systems Engineer

Teaching/Academic Research

Teacher/Junior High/High School, College or University Professor

Sta s cs

Analy cal Sta s cian, Theore cal Sta s cian, Demog-rapher, Quality Control Analyst, Econometrician, Psy-chometrician, Biometrician

Business/Industry

Engineering Analyst, Financial Analyst, Sta s cian, Technical Writer, Communica ons Engineer, Fluid Dynamics Analyst, Consultant, Grant Proposal Writer, Product Developer, Market Researcher

2

Student Resources, Ac vi es & Organiza ons

Mathema cs Tutoring & Computer Labs

The department maintains two separate mathema cs tutoring labs, one on each main campus, to offer free tutoring to undergraduates enrolled in a math class. On the Lincoln Park Campus the lab is located in SAC 521, in the heart of the Department of Mathema cal Sciences. Tutoring is generally available on certain weekend days in O’Connell 300. In the Loop, the tutoring lab is in Lewis Hall #1662. On both campuses, students can come on a drop-in basis during the regular school year, any week of classes except finals week. There they can get tutoring from math students who are o en mathema cs majors. The Lab schedules are generally posted online and outside the door, and at go.depaul.edu/math. These spaces also make compu ng available through a limited number of networked PCs. In addi on, the PC labs in O’Connell 300 (LPC) are generally available for student use when classes are not taking place there.

The website listed above also has extensive and current informa on on tutoring and prac ce materials, as well as announcements of current departmental events.

Student Employment—Tutoring & Grading

The Mathema cs Labs listed above offer opportuni es for students to engage in tutoring their fellow students as paid lab tutors.

There is also the opportunity for students who have completed Calculus to grade homework for various lower- and upper-level mathema cs courses. Students are paid to work with faculty members to evalu-ate the homework papers their classes.

For more informa on or to sign up for either math tutoring or grading, please contact Nydia Rodriguez ([email protected], 773-325-4878).

Internships

Students enrolled in the Actuarial Science, Sta s cs, or Financial Mathema cs concentra ons are hear ly encouraged to par cipate in the department’s internship program, which facilitates internships at many local well-known companies such as Allstate, North American, Blue Cross Blue Shield, CNA, Capital One, and Zurich. Internship fairs are held periodically which give students an opportunity to meet with repre-senta ve of these and other companies, and explore the possibili es for corporate internships.

Interested students should contact Desale Habtzghi ([email protected], 773.325.4054), or the Career Center (careercenter.depaul.edu, DPC: 312.362.8437, LPC: 773.325.7431).

3

Student Research

The faculty view research as an integral part of academic prepara on at both the graduate and under-graduate levels. Consequently many on-campus research opportuni es are provided for students. Re-search projects vary in nature and scope, and o en take place during the summer and carry significant amounts of financial support. In the past, students have par cipated in research that has led to presen-ta ons at conferences and even publica ons in professional journals.

Further ques ons about student research should be sent to [email protected]. You may also explore research opportuni es by either calling 773-325-8490 or emailing [email protected].

Advising

When you declare a major in Mathema cs (no ma er the concentra on), you should then contact the Department Chair, Dr. Ahmed I. Zayed, at (773) 325-7808 or at [email protected], so that a depart-ment faculty member can be assigned as your academic advisor. If you do not know who your advisor is, check Campus Connect (campusconnect.depaul.edu). It is recommended that mathema cs majors meet with a mathema cs advisor at least twice a year.

Putnam Compe on

The William Lowell Putnam Mathema cal Compe on is a highly pres gious (and legendarily difficult) mathema cs examina on administered each year by the Mathema cal Associa on of America. The department holds an ongoing series of coaching sessions to help students prepare for the exam, and each year fields a team to represent DePaul.

Student Accomplishments

The department is very proud of the accomplishments of its students, whose recent achievements in-clude:

Student Publica ons: Students in the department authored or coauthored four papers which have been published in peer-reviewed journals such as DePaul Discoveries and College Mathema cs Journal.

Conference and REU Par cipa on: Recent undergraduates have par cipated at conferences or REUs (Research Experiences for Undergraduates) at the University of Chicago, Carleton College, and Rose-Hulman Ins tute of Technology.

Putnam Exam: In the 2013 exam, Ma hew McGrail was ranked 266 out of 4113 par cipants worldwide, a remarkable achievement.

Graduate School: A er comple ng their undergraduate degree at DePaul University, students have recently gone on to pursue graduate work at City University of New York, Northwestern University, Uni-versity of Chicago, University of Iowa, University of Nebraska, Lincoln; University of Nevada, Las Vegas; University of Rochester, and the University of Victoria.

Employment: As examples, some recent graduates have been hired at firms such as CNA, Allstate, and Amazon.com, while others have secured posi ons at organiza ons such as Math for America and Teaching for America.

4

Student Organiza ons

Actuarial Club

The DePaul Actuarial Science Club is an organiza on of undergraduate and graduate students at DePaul University who are interested in Actuarial Science. The club seeks to mentor interested students by:

Invi ng professionals to speak about the Actuarial industry.

Helping students network with their peers and industry figureheads.

Organizing study groups for the Society of Actuaries (SOA) exams.

For the most up-to-date informa on on the Actuarial Club, visit orgsanddepartments.orgsync.com/org/depasc/home, or write to [email protected].

Math Club

The DePaul Math Club typically meets at lunch me each Friday during the academic year, and provides fun and interes ng ac vi es and programs to benefit all students of mathema cs. The club features talks by faculty and students on interes ng mathema cal topics outside of the typical course content, in addi on to regular fun features such as an integra on bee and problem-solving sessions. For the most up-to-date informa on on the Math Club, visit orgsync.com/39792/chapter, write to [email protected], or contact Nick Ramsey ([email protected]).

STATCOM Chicago—Pro Bono Sta s cal Consul ng

Sta s cs in the Community (STATCOM) is an organiza on of graduate sta s cs students that offers pro bono sta s cal consul ng services to local businesses and organiza ons for the purpose of crea ng a culture of service while engaging students in consul ng and leadership work. Founded at Purdue Uni-versity in 2001, the STATCOM network now extends na onwide.

STATCOM Chicago was launched at DePaul University in 2008. Today the group serves clients in the Chi-cagoland area with the help of students from the Illinois Ins tute of Technology, the University of Illi-nois at Chicago, and Rosalind Franklin University.

For the most up-to-date informa on on STATCOM Chicago, visit orgsync.com/48609/chapter, or write to [email protected].

Memberships in Professional Organiza ons

Students are encouraged to take advantage of the opportuni es offered by professional organiza ons that provide valuable resources such as job services, networking, and mathema cal discussion groups. Special student rates are o en available. These organiza ons include:

American Mathema cal Society—ams.org

Mathema cal Associa on of America—maa.org

SACNAS—Society for the Advancement of Chicanos/Hispanics & Na ve Americans in Sci-ence—sacnas.org

Society for Industrial & Applied Mathema cs—siam.org

5

Scholarships

Student Scholarships

Several scholarships are available to undergraduate mathema cs students at DePaul. These vary widely in monetary amounts and eligibility requirements, but those available to mathema cs students include:

Allstate Actuarial Scholarship (for actuarial students)

Effron Family Scholarship for Pure Mathema cs

Richard K. Ma hei Memorial Scholarship

Rev. Charles F. Shelby Endowed Scholarship

Briefs-Waters Memorial Endowed Scholarship

The James & Mary Schaefer Liberal Arts & Sciences Endowed Scholarship

CSH Scholarships

Other scholarships for mathema cs majors or for general science, are also made available through the Department of Mathema cal Sciences or through the College of Science & Health. For more infor-ma on, contact Yevgenia Kashina ([email protected], 773-325-1351) or visit go.depaul.edu/math.

Student Awards

Walter A. Pranger Memorial Prize in Mathema cal Sciences

The Walter A. Pranger Memorial Prize recognizes outstanding undergraduate scholarship in the mathe-ma cal sciences. The prize takes its name Dr. Walter A. Pranger, Professor of Mathema cal Sciences at DePaul, honoring his 35-year commitment to excellence in teaching at DePaul University. The prize awards at least $500 annually to a gradua ng senior. To be eligible, a student must:

Be a gradua ng senior with strong academic creden als in mathema cs, educa on, comput-er science, commerce or music

Demonstrate an interest in advancing the study of mathema cs

Demonstrate an interest in applying mathema cs in innova ve ways

Outstanding Mathema cs Student

The Outstanding Student Award goes to an outstanding gradua ng senior, based on GPA in all mathema cs classes taken here at DePaul, as well as other factors.

Actuarial Exam Reimbursement Award

For students who have passed an actuarial exam by SOA or CAS. Award is $100 per exam.

6

The Department of Mathema cal Sciences offers courses in pure, applied mathema cs and sta s cs to

help students reach a wide variety of intellectual, academic, and career goals.

Many students come to the department to obtain the mathema cal background needed to be successful

in programs in the natural sciences, computer science, social sciences, and business. Such students may

choose to supplement their major in their home department by obtaining a minor in mathema cs.

Other students come to the department seeking a program leading to an undergraduate or graduate de-

gree in one of the mathema cal sciences. Undergraduate students majoring in mathema cal sciences may

choose one of seven areas of concentra on:

Actuarial Science—Prepares students to work for insurance or pension consul ng firms, and gov-ernment.

Applied and Computa onal Mathema cs—Prepares students for employment as quan ta ve analysts, computa onal scien sts, and applied mathema cians, as well as con nued study of ap-plied or discrete mathema cs at the graduate level.

Financial Mathema cs—This concentra on is a Mathema cs Major that is a ached to a Finance Minor. It includes courses that are relevant to contemporary financial mathema cal modeling, along with courses in Finance and their prerequisites.

Individualized Concentra on—Students may consult with a mathema cs faculty advisor and the department chair to create an individualized program of study leading to a degree in mathema cs.

Pure Mathema cs—Provides a broad mathema cal exposure for students who are interested in studying and/or doing mathema cal research at the graduate level.

Quan ta ve Analysis and Opera ons Research—Provides students with the mathema cal back-ground to work in finance, computer applica ons, and produc on scheduling and forecas ng.

Sta s cs—Offers students a solid founda on in probability and sta s cs. Sta s cians are em-ployed by government, industry, marke ng research companies, and consul ng firms to design surveys and experiments and to analyze sta s cal data.

A thesis op on is available to mathema cs majors who wish to pursue an extended independent project

related to a theore cal or applied focus of the program. Students would work under the guidance of a

faculty mentor. At least 4 cred-

its must be completed over one

or two quarters prior to the

thesis submission. Interested

students are strongly encour-

aged to enroll in MAT 390 dur-

ing their junior year.

B.A./B.S. Mathema cal Sciences Overview

Liberal Studies Requirements 80 hours

Major Requirements 32-36 hours

Major Concentra on Requirements 24-28 hours

Open Elec ves 48-56 hours

Total hours required 192 hours

Requirement BA Mathema cs BS Mathema cs

80 hours

48-52 hours

24-28 hours

32-40 hours

192 hours

7

B.A./B.S. Mathema cal Sciences

Major Requirements

Common Core

Choose one of the following Calculus sequences:

Sequence One

MAT 150 CALCULUS I MAT 151 CALCULUS II

MAT 152 CALCULUS III

Sequence Two

MAT 147 CALCULUS WITH INTEGRATED PRECALCULUS I

MAT 148 CALCULUS WITH INTEGRATED PRECALCULUS II

MAT 149 CALCULUS WITH INTEGRATED PRECALCULUS III Sequence Three

MAT 160 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I

MAT 161 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II

MAT 162 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS III

Sequence Four MAT 170 CALCULUS FOR LIFE SCIENCES I

MAT 171 CALCULUS FOR LIFE SCIENCES II

MAT 149, MAT 152 OR MAT 162

Sequence Five

MAT 155 SUMMER CALCULUS I MAT 156 SUMMER CALCULUS II

MAT 260 MULTIVARIABLE CALCULUS I

MAT 261 MULTIVARIABLE CALCULUS II

MAT 262 LINEAR ALGEBRA

One of the following op ons

MAT 215 INTRODUCTION TO MATHEMATICAL REASONING

Discrete Mathema cs Sequence

MAT 140 DISCRETE MATHEMATICS I

MAT 141 DISCRETE MATHEMATICS II

CSC 241 INTRODUCTION TO COMPUTER SCIENCE I, or a more advanced course in any programming language.

(B.S. only) Students must earn at least 16 quarter hours as four courses in the natural or computer sciences, or in GEO

241, GEO 243, or GEO 345.

Concentra on Requirements

Students must also complete the requirements from one of the following concentra ons: Pure Mathema cs; Sta s-cs; Actuarial Science; Financial Mathema cs; Quan ta ve Analysis and Opera ons Research; Applied and Compu-

ta onal Mathema cs; or Individualized.

If the student chooses to declare more than one Mathematical Sciences concentration, then the student must com-plete the requirements for each concentration, and take at least three additional 300-level courses overall. For exam-ple, a student earning two concentrations would have taken at least nine 300-level courses, and a student earning three concentrations would have taken at least twelve 300-level courses.

8

Actuarial Science Concentra on

Actuarial Science uses mathema cs, sta s cs and financial theory to study uncertain future events, especially those that relate to risk management and insurance programs. This concen-tra on prepares students to work for insurance or pension consul ng firms, and government.

Course Requirements

Required Courses

MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III MAT 361 ACTUARIAL SCIENCE I MAT 362 ACTUARIAL SCIENCE II MAT 363 ACTUARIAL SCIENCE III

Open Elec ves

Open elec ve credit also is required to meet the minimum gradua on requirement of 192 hours.

Recommended Mathema cs Courses

MAT 341 STATISTICAL METHODS USING SAS

MAT 355 STOCHASTIC PROCESSES

MAT 356 APPLIED REGRESSION ANALYSIS

MAT 358 APPLIED TIME SERIES AND FORECASTING

MAT 359 SIMULATION MODELS AND MONTE CARLO METHOD

MAT 364 STOCHASTIC RISK MODELS

MAT 367 CREDIBILITY THEORY

MAT 368 MATHEMATICAL FINANCE

Addi onal Recommended Courses

ACC 101 INTRODUCTION TO ACCOUNTING I

ECO 105 PRINCIPLES OF MICROECONOMICS

ECO 106 PRINCIPLES OF MACROECONOMICS

FIN 310 INTRODUCTION TO FINANCE

FIN 311 CORPORATE FINANCE

FIN 320 MONEY AND BANKING

FIN 330 INVESTMENTS: THEORY & PRACTICE

FIN 335 PORTFOLIO MANAGEMENT

FIN 362 RISK MANAGEMENT

FIN 363 DERIVATIVES: PRICING & APPLICATIONS

9

Course Scheduling

Unless otherwise specified, assume Calculus I-II-III in Y1 and MAT 260-1-2 in Y2.

MAT 215 can be taken in any quarter of Y2.

MAT 140 and 141 are typically offered each quarter and may be taken in Y1 or Y2.

MAT 140-141/215 is required for MAT 301, 302, 303, 310, 320, 335, 337, 340, 370, 372.

CSC 241 is offered every quarter.

JYEL Courses in the department are MAT 397 (Autumn-Winter) and MAT 390 (Spring).

Thesis writers should take MAT 396 during the Autumn and/or Winter of Y4.

Students who want to take MAT 368 need to take MAT 352 and MAT 361 first.

FIN 310 requires ACC 101-102 and ECO 105-106, and MAT 135-137.

It is recommended that MAT 361 be taken in the sophomore year.

Autumn Winter Spring

Y3 351 352 353

361 362 363

341

Y4 356 398 326

357 341 359

364 355

368 358

370

Key

Required

Elec ves

Sample Track

10

Applied & Computa onal Mathema cs Concentra on

The concentra on in Applied and Computa onal Mathema cs is intended for any stu-dent who enjoys mathema cs, problem solving, and applica ons to solving prac cal problems in business, government, and science. The concentra on is especially intend-ed for students seeking a career as quan ta ve analysts, computa onal scien sts, and applied mathema cians, and for those thinking of con nuing the study of applied or dis-crete mathema cs at the graduate level.

Course Requirements

CSC 242 INTRODUCTION TO COMPUTER SCIENCE II or another approved computer science course.

Three courses chosen from the following list:

MAT 302 COMBINATORICS MAT 304 DIFFERENTIAL EQUATIONS MAT 384 MATHEMATICAL MODELING MAT 385 NUMERICAL ANALYSIS I

Two addi onal courses chosen from among the above and the following list:

MAT 335 REAL ANALYSIS I MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 370 ADVANCED LINEAR ALGEBRA MAT 381 FOURIER ANALYSIS AND SPECIAL FUNCTIONS MAT 386 NUMERICAL ANALYSIS II

One addi onal course chosen from among the above and the following list:

MAT 303 THEORY OF NUMBERS MAT 310 ABSTRACT ALGEBRA I MAT 311 ABSTRACT ALGEBRA II MAT 330 METHODS OF COMPUTATION AND THEORETICAL PHYSICS I MAT 331 METHODS OF COMPUTATION AND THEORETICAL PHYSICS II MAT 336 REAL ANALYSIS II MAT 337 COMPLEX ANALYSIS MAT 340 TOPOLOGY MAT 341 STATISTICAL METHODS USING SAS MAT 353 PROBABILITY AND STATISTICS III MAT 355 STOCHASTIC PROCESSES MAT 387 OPERATIONS RESEARCH I: LINEAR PROGRAMMING MAT 388 OPERATIONS RESEARCH II: OPTIMIZATION THEORY

11

Course Scheduling






MAT 385 has a programming prerequisite.



MAT 381, 387, and 388 are also op ons, but they are not offered with enough regularity to list by quarter. If one of these is not offered in a given year, a student may request an independent study.

MAT 330 and 331 are offered as PHY 300 and 301, respec vely.


Y2 260 261 262

215/140-1 215/140-1 215/140-1

302 304

303

Y3 335 302 304

351 385 303

370 352 337

310 311 353

340

336

355

Y4 335 398 304

351 302 303

370 352 337

310 311 353

340

336

355

Key

Required

Choose One

Choose Three

Choose Two*

Choose One*

*Check Prerequisites

Students interested in graduate study in applied mathema cs are encouraged to take MAT 335-336, 370, 385-386.

Open Elec ves


12

Financial Mathema cs Concentra on

This concentra on is a Mathema cs Major that is a ached to a Finance Minor. It includes courses that are relevant to contemporary financial mathema cal modeling, along with courses in Finance and their prerequisites. The Finance Minor is designed to complement the mathema cs coursework.

Course Requirements

In addi on to comple ng a Finance Minor, the following mathema cs courses are required:

MAT 304 DIFFERENTIAL EQUATIONS or MAT 385 NUMERICAL ANALYSIS I MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III MAT 355 STOCHASTIC PROCESSES MAT 368 MATHEMATICAL FINANCE

Open Elec ves


Finance Minor requirements

ACC 101 INTRODUCTION TO ACCOUNTING I ACC 102 INTRODUCTION TO ACCOUNTING II ECO 105 PRINCIPLES OF MICROECONOMICS ECO 106 PRINCIPLES OF MACROECONOMICS FIN 202 QUANTITATIVE REASONING FIN 310 INTRODUCTION TO FINANCE FIN 311 CORPORATE FINANCE FIN 320 MONEY AND BANKING FIN 330 INVESTMENTS: THEORY & PRACTICE

Two elec ves chosen from the following list:

FIN 313 INVESTMENT BANKING FIN 323 COMMERCIAL BANKING FIN 333 FINANCIAL STATEMENTS ANALYSIS FIN 335 PORTFOLIO MANAGEMENT FIN 340 INTERNATIONAL FINANCE FIN 362 RISK MANAGEMENT FIN 363 DERIVATIVES: PRICING & APPLICATIONS FIN 380 CASES IN FINANCIAL DECISION MAKING FIN 393 FINANCE INTERNSHIP FIN 395 INVESTMENT SEMINAR FIN 398 SPECIAL TOPICS FIN 399 INDEPENDENT STUDY

13

Course Scheduling










Y2 260 261 262

215/140-1 215/140-1 215/140-1

304

Y3 351 352 353

385 304

Y4 355 304

385

398

Key

Required

Choose One

Choose One

Individualized Mathema cs Concentra on

Students may consult with a mathema cs faculty advisor and the department chair to create an individualized program of study leading to a degree in mathema cs.



MAT 370 ADVANCED LINEAR ALGEBRA



14

Pure Mathema cs Concentra on This concentra on provides a broad mathema cal exposure for students who are interested in studying and/or doing mathema cal research at the graduate level.

Course Requirements

Three courses to be chosen from the following list

MAT 310 ABSTRACT ALGEBRA I MAT 311 ABSTRACT ALGEBRA II MAT 335 REAL ANALYSIS I MAT 336 REAL ANALYSIS II

Three addi onal mathema cs courses from the following list

MAT 301 HISTORY OF MATHEMATICS MAT 302 COMBINATORICS MAT 303 THEORY OF NUMBERS MAT 311 ABSTRACT ALGEBRA II MAT 312 ABSTRACT ALGEBRA III MAT 320 GEOMETRY I MAT 321 GEOMETRY II MAT 336 REAL ANALYSIS II MAT 337 COMPLEX ANALYSIS MAT 304 DIFFERENTIAL EQUATIONS MAT 340 TOPOLOGY MAT 348 APPLIED STATISTICAL METHODS MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III MAT 370 ADVANCED LINEAR ALGEBRA MAT 372 LOGIC AND SET THEORY MAT 385 NUMERICAL ANALYSIS I MAT 386 NUMERICAL ANALYSIS II (CROSS-LISTED WITH MAT 486 & CSC 386/486)

Open Elec ves


Recommended Course Selec ons

For students interested in graduate study in mathema cs:

MAT 310 ABSTRACT ALGEBRA I MAT 311 ABSTRACT ALGEBRA II MAT 312 ABSTRACT ALGEBRA III MAT 335 REAL ANALYSIS I MAT 336 REAL ANALYSIS II MAT 337 COMPLEX ANALYSIS

15

Course Scheduling








Thesis writers should take MAT 396 during the Au-tumn and/or Winter of Y4.


Y2 260 261 262

Y3 310 301 303

335 302 304

320 321 312

348

311

336

Y4 320 398 303

351 301 304

370 302 312

321 337

348

352

385

311

336

302 304

301 303

215/140-1 215/140-1 215/140-1

370 340 337

340 353

Key

Required

Choose One

Choose Three*

Choose One

*Check Prerequisites

For students interested in graduate study in economics, finance, or sta s cs:

MAT 351 PROBABILITY AND STATISTICS I

MAT 352 PROBABILITY AND STATISTICS II

MAT 353 PROBABILITY AND STATISTICS III

A&S 491 ADMINISTRATIVE THEORY AND BEHAVIOR

MAT 336 REAL ANALYSIS II

16

Quan ta ve Analysis and Opera ons Research Concentra on This concentra on provides students with the mathema cal background to work in finance, computer applica ons, and produc on scheduling and forecas ng.

Course Requirements

Required Courses

MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III

Three courses from the following list

MAT 356 APPLIED REGRESSION ANALYSIS MAT 358 APPLIED TIME SERIES AND FORECASTING MAT 387 OPERATIONS RESEARCH I:LINEAR PROGRAMMING MAT 388 OPERATIONS RESEARCH II: OPTIMIZATION THEORY

Open Elec ves




MAT 384 MATHEMATICAL MODELING

MAT 385 NUMERICAL ANALYSIS I

MAT 386 NUMERICAL ANALYSIS II

MAT 389 OPERATIONS RESEARCH III

CSC 389 THEORY OF COMPUTATION

Course Scheduling










Y2 260 261 262

215/140-1 215/140-1 215/140-1

Y3 351 352 353

*387 *388

Y4 356 398 *388

*387

358

Key

Required

Choose One

Choose Three

*Occasional

17

Course Scheduling

MAT 348 only requires Calculus II, so it can be taken any me a er Y1, but we recom-mend taking it in Y3 or Y4.

All other notes are the same as those listed on previous page.

Key

Required

Choose One

Choose Three

Elec ves

Sta s cs Concentra on This concentra on offers students a solid founda on in probability and sta s cs. Sta s cians are em-ployed by government, industry, marke ng research companies, and consul ng firms to design surveys and experiments and to analyze sta s cal data.

Course Requirements

Required Courses

MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III MAT 341 STATISTICAL METHODS USING SAS MAT 356 APPLIED REGRESSION ANALYSIS MAT 326 SAMPLE SURVEY METHODS or MAT 328 DESIGN OF EXPERIMENTS

Open Elec ves



MAT 354 MULTIVARIATE STATISTICS

MAT 355 STOCHASTIC PROCESSES

MAT 357 NONPARAMETRIC STATISTICS


MAT 335 REAL ANALYSIS I



MAT 385 NUMERICAL ANALYSIS I

MAT 386 NUMERICAL ANALYSIS II

Students interested in graduate study in mathema cal sta s cs are encouraged to take the following:

MAT 335 REAL ANALYSIS I



Y2 260 261 262

215/140-1 215/140-1 215/140-1

Y3 351 352 353

385

Y4 356 398 326

370 358 359

341

348

355

357 385

364 328

341

348

18

The Actuarial Science program will prepare you to analyze the financial consequences of risk and uncer-tainty. You will use mathema cs, sta s cs and financial theory to study uncertain future events, especially those that relate to risk management and insurance programs. More specifically, you will learn to:

Apply the laws of probability and sta s cs to solve actuarial problems.

Understand the theory of interest and its applica ons to the pricing of securi es.

Calculate the financial costs and benefits of insurance for various individuals.

Design, implement and monitor life con ngency models.

Describe risk management frameworks and iden fy how specific risks can be quan fied.

Curriculum

We offer courses that will prepare you to pass actuarial exams offered by the Society of Actuaries and the Casualty Actuarial Society, as well as courses that will allow you to sa sfy other requirements in the actu-arial creden aling process.

Faculty

Our actuarial faculty consists of dedicated teachers, industry experts and accomplished academicians. For short bios and contact informa on, visit depaul.edu.

Alumni

Students gradua ng with an Actuarial Science de-gree usually work in:

Insurance and reinsurance companies

Consul ng firms

Professional, scien fic, and technical services

Management of companies and enterprises

Funds, trusts, and other financial vehicles

Government

One of our strengths is the extensive network of DePaul graduates with successful careers in the industry, both in Chicago and across the na on. Read about their experience and career paths at depaul.edu.

Resources & Actuarial Club

DePaul has a very ac ve Actuarial Science Club, which promotes the study of actuarial science and the

pursuit of actuarial careers by DePaul students. Current informa on can be accessed through

go.depaul.edu/math.

B.S. Actuarial Science

Overview

Requirement BS Actuarial Science


Major Requirements 100 hours

Open Elec ves 12 hours


19

Common Core

ACC 101 INTRODUCTION TO ACCOUNTING I

ACC 102 INTRODUCTION TO ACCOUNTING II

ECO 105 PRINCIPLES OF MICROECONOMICS

ECO 106 PRINCIPLES OF MACROECONOMICS

MAT 150 CALCULUS I

MAT 151 CALCULUS II


BLW 201 LEGAL & ETHICAL ASPECTS IN THE BUSINESS ENVIRONMENT



MAT 351 PROBABILITY AND STATISTICS I

MAT 352 PROBABILITY AND STATISTICS II

MAT 353 PROBABILITY AND STATISTICS III

MAT 361 THEORY OF INTEREST

MAT 362 LIFE CONTINGENCIES I

MAT 363 LIFE CONTINGENCIES II

FIN 317 PRINCIPLES OF CORPORATE FINANCE FOR ACTUARIES

FIN 320 MONEY AND BANKING

FIN 362 RISK MANAGEMENT

FIN 365 PRINCIPLES OF RISK & INSURANCE

FIN 369 ACTUARIAL SCIENCE CAPSTONE COURSE

ICS 392 SENIOR SEMINAR (Liberal Studies Program Capstone)

Math Requirements

CSC 241 INTRODUCTION TO COMPUTER SCIENCE I




MAT 368 MATHEMATICAL FINANCE



or MAT 364 STOCHASTIC RISK MODELS

B.S. Actuarial Science

Major Requirements

20

B.S. Mathema cs & Computer Science Overview

The B.S. in Math and Computer Science is a joint degree between the College of Compu ng and Digital Media and the Department of Mathema cs. It provides challenging opportuni es to excep onal stu-dents with an interest in the highly theore cal nexus of math and computer science. Mathema cs is a key element to the theory and prac ce of computer science and technology:

Number theory forms the basis for encryp on algorithms for messages sent over the Internet.

Facts from projec ve geometry and mul variable calculus underlie the computer algorithms that control computer anima on.

Proper es of abstract groups are instrumental in correc ng transmission errors that occur when informa on is sent from one computer to another.

Graph theory and combinatorics are used to create algorithms for Internet search engines and analyze Internet rou ng protocols.

This program is intended to appeal to academically talented students. It is designed to prepare them for graduate study in various areas of computer science such as theore cal computer science, graphics, data analysis, ar ficial intelligence, and computa onal methods and in areas in applied mathema cs such as numerical analysis or discrete mathema cs. The program is also designed to prepare students to compete for the more theore cal complex jobs found in computer so ware development.

Students in the program will explore a broad range of fields including:

Theory of computa on

Computa onal mathema cs

Ar ficial intelligence

Data analysis

Graphics

Computer vision

It is highly recommended that students concentrate on one or two areas for their advanced classes to achieve depth, but they are not required to do so. Faculty advisors are available to assist students in their selec on.

Requirement BA Mathema cs


Major Requirements 56 hours

Major Concentra on Requirements 28 hours

Open Elec ves 28 hours


21

B.S. Mathema cs & Computer Science Major Requirements

Course Requirements

CSC 241 INTRODUCTION TO COMPUTER SCIENCE I

CSC 242 INTRODUCTION TO COMPUTER SCIENCE II

CSC 300 DATA STRUCTURES IN JAVA I

CSC 301 DATA STRUCTURES IN JAVA II

CSC 321 DESIGN AND ANALYSIS OF ALGORITHMS

CSC 373 COMPUTER SYSTEMS I

CSC 374 COMPUTER SYSTEMS II

CSC 394 SOFTWARE PROJECTS (Capstone) or GPH 395 COMPUTER GRAPHICS SENIOR PROJECT (Capstone) or MAT 398 SENIOR CAPSTONE SEMINAR (Capstone)



Choose one of the following Calculus sequences: Sequence One

MAT 150 CALCULUS I

MAT 151 CALCULUS II


Sequence Two MAT 147 CALCULUS WITH INTEGRATED PRECALCULUS I


MAT 149 CALCULUS WITH INTEGRATED PRECALCULUS III

Sequence Three

MAT 160 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I MAT 161 CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II


Sequence Four

MAT 170 CALCULUS FOR LIFE SCIENCES I

MAT 171 CALCULUS FOR LIFE SCIENCES II MAT 149, MAT 152 OR MAT 162

Sequence Five

MAT 155 SUMMER CALCULUS I

MAT 156 SUMMER CALCULUS II



3 CDM Major Elec ves

3 MAT Major Elec ves

1 CDM or MAT Major Elec ve

Con nued...

22

Major Elec ves

Students must take 7 Major Field elec ves chosen from the grouped list below. Of these, 3 must be CDM courses and 3 must be MAT courses, and 1 could be either a CDM or MAT course.

Students must earn a grade of C- or higher in all major elec ve courses.

It is recommended that students concentrate on one or two areas for their advanced classes to achieve depth, but they are not required to do so. Students are strongly encouraged to discuss course selection with an advisor. Stu-dents may wish to arrange with a professor to take an independent study or a research experience (MAT 399 or CSC 399 or IT 300) in order to explore a subject more deeply than is possible in a scheduled course.

Theory of Computa on

The courses in the theory area explore the mathema cal and logical founda ons of computer science.

MAT 302 COMBINATORICS MAT 303 THEORY OF NUMBERS MAT 304 DIFFERENTIAL EQUATIONS MAT 351 PROBABILITY AND STATISTICS I MAT 310 ABSTRACT ALGEBRA I MAT 311 ABSTRACT ALGEBRA II MAT 312 ABSTRACT ALGEBRA III MAT 335 REAL ANALYSIS I MAT 372 LOGIC AND SET THEORY CSC 235 PROBLEM SOLVING CSC 327 PROBLEM SOLVING FOR CONTESTS CSC 333 CRYPTOLOGY CSC 344 AUTOMATA THEORY AND FORMAL GRAMMARS CSC 347 CONCEPTS OF PROGRAMMING LANGUAGES CSC 348 INTRODUCTION TO COMPILER DESIGN CSC 358 SYMBOLIC PROGRAMMING CSC 387 OPERATIONS RESEARCH I: LINEAR PROGRAMMING

or MAT 387 OPERATIONS RESEARCH I:LINEAR PROGRAMMING CSC 389 THEORY OF COMPUTATION

Computa onal Methods

The computa onal methods area inves gates quan ta ve and computa onal methods in computer science

CSC 331 SCIENTIFIC COMPUTING MAT 385 NUMERICAL ANALYSIS I MAT 386 NUMERICAL ANALYSIS II MAT 330 METHODS OF COMPUTATION AND THEORETICAL PHYSICS I MAT 331 METHODS OF COMPUTATION AND THEORETICAL PHYSICS II MAT 384 MATHEMATICAL MODELING

Ar ficial Intelligence

For students with an interest in the computa onal rela ons between syntax and seman cs.

CSC 380 FOUNDATIONS OF ARTIFICIAL INTELLIGENCE CSC 357 EXPERT SYSTEMS CSC 358 SYMBOLIC PROGRAMMING

B.S. Mathema cs & Computer Science Con nued...

23

Data Analysis For students who are interested in sta s cal and computa onal analysis of data. Many of the courses in this area require the student to take MAT 351-353.

CSC 328 DATA ANALYSIS FOR EXPERIMENTERS CSC 334 ADVANCED DATA ANALYSIS

or MAT 354 MULTIVARIATE STATISTICS CSC 367 INTRODUCTION TO DATA MINING MAT 261 MULTIVARIABLE CALCULUS II MAT 351 PROBABILITY AND STATISTICS I MAT 352 PROBABILITY AND STATISTICS II MAT 353 PROBABILITY AND STATISTICS III MAT 355 STOCHASTIC PROCESSES MAT 357 NONPARAMETRIC STATISTICS MAT 370 ADVANCED LINEAR ALGEBRA MAT 356 APPLIED REGRESSION ANALYSIS MAT 358 APPLIED TIME SERIES AND FORECASTING MAT 359 SIMULATION MODELS AND MONTE CARLO METHOD

Graphics The graphics courses are intended for students who want to study the technical and mathema cal founda ons of computer graphics and anima on.

MAT 337 COMPLEX ANALYSIS MAT 261 MULTIVARIABLE CALCULUS II MAT 385 NUMERICAL ANALYSIS I GPH 211 PERCEPTUAL PRINCIPLES FOR DIGITAL ENVIRONMENTS I GPH 212 PERCEPTUAL PRINCIPLES FOR DIGITAL ENVIRONMENTS II GPH 325 SURVEY OF COMPUTER GRAPHICS GPH 329 COMPUTER GRAPHICS DEVELOPMENT II GPH 336 SMOOTH SURFACE MODELING FOR GRAPHICS AND ANIMATION GPH 372 PRINCIPLES OF COMPUTER ANIMATION

Computer Vision Computer vision studies the mathema cal and algorithmic underpinnings of image analysis and image processing.

MAT 261 MULTIVARIABLE CALCULUS II MAT 335 REAL ANALYSIS I MAT 385 NUMERICAL ANALYSIS I MAT 370 ADVANCED LINEAR ALGEBRA MAT 384 MATHEMATICAL MODELING CSC 381 INTRODUCTION TO DIGITAL IMAGE PROCESSING CSC 382 APPLIED IMAGE ANALYSIS

Research CSC 395 RESEARCH COLLOQUIUM CSC 399 INDEPENDENT STUDY MAT 390 MATHEMATICS READING AND RESEARCH MAT 396 SENIOR THESIS RESEARCH

Open Elec ves


Degree Requirements

Students in this degree must meet the following requirements:

Complete a minimum of 192 credit hours (generally 48 courses)

Earn a grade of C- or higher in WRD 103, WRD 104, and all Major and Minor courses

Earn a grade of D or higher in all other Liberal Studies and Open Elec ve courses

Maintain a cumula ve GPA of 2.0 or higher

24

B.S. Mathema cs & Computer Science Advising Guide

Addi onal Course informa on

CSC 241/242 sequence: The intro programming sequence (CSC 241/CSC 242) should be taken by Math

-CS majors in the freshman year, i.e. as soon as possible. Incoming freshmen must make sure to take CSC 241 by the winter quarter; otherwise they will need to wait a full year to start their programming sequence. Students who have previous programming should not be placed into CSC 242, see next item on CSC 243.

CSC 243 vs CSC 241/242: Students who have previous programming experience, but not the equiva-

lent of two quarters of programming, should be placed into CSC 243, which combines the material of CSC 241/242 into a single quarter, but assumes that the students have previous programming experi-ence. Students with extensive previous programming experience should have CSC 241/242 replaced by other courses, and be placed into CSC 300, the first Java/Data Structures course.

MAT 130 and CSC 241: MAT130 is a prerequisite for CSC241. Students who place into MAT130 must take MAT130 in the fall so that they can start the programming sequence in the winter. However, the first course in the calculus sequence may not start in winter quarter, so students needing prerequisite math courses may need to delay the start of calculus un l year 2. Because of the number of advanced math courses required in this degree, this may prolong the comple on of the degree unless courses are made up over the summer.

MAT 140/141 vs MAT 215: If a student took MAT 215, this should be applied to MAT 140, but the stu-

dent should s ll take MAT 141.

So ware & Hardware Recommenda ons

Following are the same recommenda ons given to BS-CS students:

The CS and SE programs are designed to be pla orm independent so a Window, Linux, or Mac machine will do. It is helpful

for CS students to own a computer, and the likely choice is a laptop. One thing freshmen should keep in mind is that cheap-

er, low end machines may not be powerful enough to run the so ware built 4 years from now when they are seniors. They

also tend to be less stable. So a machine that is mid-level to high-end is preferable.

Resources

Please find the CSC 241 advising guide at h p://facweb.cdm.depaul.edu/ase le/csc241AdvisingGuide.pdf.

Computer Science Society: h p://css.cdm.depaul.edu/

The Associa on for Compu ng Machinery (ACM: h p://acm.org) is the largest educa onal and scien fic compu-ng society. Students are encouraged to get involved.

Support for women at CDM: h p://www.cdm.depaul.edu/Current%20Students/Pages/WomeninIT.aspx

Tutoring in math is offered by the department of Mathema cal Sciences in the College of Science and Health. Visit their web site at go.depaul.edu/math for more informa on.

25

Recommended First‐Year Schedule

* Note that there are four other calculus sequences to choose from (the MAT 147 sequence, the 155 sequence, the MAT 160 sequence, and the MAT 170 sequence). It may be likely that students in this major opt for one of those sequences.

Minors

CDM offers a minor in Computer Science that consists of 7 courses.

Refer to the “Academics” sec on of the CDM web site for more informa on about minors

in CDM.

The College of Science and Health offers minors in Mathema cs and Sta s cs.

Refer to the University Catalog for more informa on about minors in CSH.

No ce that MAT 130 is a prerequisite for CSC 241. Unless students place in MAT 140, they

need to take MAT 130 before star ng the CS minor.

Policies specific to this degree

This is a joint degree that is offered between CDM and the College of Science and Health. Students from

either college may declare this major.

Fall Winter

LSP 110 Discover; or

LSP 111 Explore Chicago Arts & Literature course

WRD 103 Composi on and Rhetoric I

WRD 104 Composi on and Rhetoric II

CSC 241 Introduc on to Computer Science I

CSC 242 Introduc on to Computer Science II

MAT 150 Calculus I* MAT 151 Calculus II*

Spring

LSP 112 Focal Point Seminar

Self, Society & the Modern World course

CSC 300 Data Structures in Java I

MAT 152 Calculus III*

26

The Department of Mathema cal Sciences offers four combined degree op ons to undergraduate Mathe-ma cal Sciences majors who have achieved a high level of academic success and who are interested in earning both a Bachelor's degree and a Master's degree in an accelerated period. Most students complete the combined degree program in a total of about five years.

Program Offerings

Combined degree in Applied Mathema cs (MS), with graduate concentra ons in

Actuarial Science

Applied and Computa onal Mathema cs

Mathema cal Finance

Sta s cs

Combined degree in Applied Sta s cs (MS), with graduate concentra ons in

Biosta s cs Data Science

General Applied Sta s cs

Combined degree in Pure Mathema cs (MS)

Combined degree in Secondary Educa on Mathema cs (MEd)

Students may apply for entry into a combined degree program during their junior year of study, and if accepted, can then take up to three graduate courses during their senior year. Those three cours-es then count toward both the Bachelor’s degree and the Master's degree.

Students in a combined degree program must apply for undergraduate degree conferral in an cipa on of their fourth year of undergraduate study. Once students earn their undergraduate degree from De-Paul, they then matriculate as a graduate student and complete the remaining required courses for their Master's degree.

Typical Graduate Course Load for Combined Degree Program Students

Fourth/Senior year

Autumn: One graduate course

Winter: One graduate course

Spring: One graduate course (student completes undergraduate degree requirements and matriculates as a graduate student for Autumn Quarter)

Fi h/Graduate year

Autumn: Three graduate courses

Winter: Three graduate courses

Spring: Three graduate courses

Combined Bachelor’s/Master’s Degrees

Overview

27

Double Demon Discount

Alumni from any of DePaul’s colleges who are admi ed into a graduate degree program in the College of Science and Health automa cally qualify for the Double Demon Discount. Combined degree program students are also eligible. This scholarship covers 25% of the tui on for a Master’s degree in the College of Science and Health. Both full- me and part- me students are eligible. No scholarship applica on is required; all alumni admi ed to these programs qualify. For more informa on, contact the Office of Graduate Admission at [email protected] or (773) 325-7315.

The Double Demon Discount cannot be used in conjunc on with other DePaul Scholarships, waivers, or awards. DePaul University employees are eligible for other employee tui on benefits through the uni-versity, and hence are not eligible for the Double Demon Discount.

Combined Degree in Applied Mathema cs (MS)

The tools of Applied Mathema cs are applicable wherever quan ta ve data is used for strategic deci-sion-making. The combined degree program in Applied Mathema cs is designed to provide undergradu-ate students with the quan ta ve background they need in order to apply those tools in their chosen career. The program also provides a solid founda on for students interested in pursuing a PhD-level graduate work in applied mathema cs.

Combined Degree Program Admission Criteria

Students applying for admission to the combined combined degree program in Applied Mathema cs should have already completed the following undergraduate coursework:

One year of single-variable calculus (e.g., MAT 150-151-152, or equivalent)

Two quarters of mul variable calculus (MAT 260 and MAT 261)

One quarter of linear algebra (MAT 262)

A course in logic and proofs (MAT 215 or both MAT 140 and MAT 141)

At least one quarter of sta s cs (e.g., MAT 351 or MAT 348)

At least one quarter of computer programming (e.g., Python, Java, C++)

Students who are interested in applying to the combined degree program in Applied Mathema cs but who do not meet these requirements should consult with the Applied Mathema cs Graduate Program Director Desale Habtzghi ([email protected]).

Applica on Instruc ons

Students may apply for admission into the combined degree program in Applied Mathema cs during their junior year of study. To apply, students should submit the following materials to the Office of Graduate Admissions ([email protected]):

CSH Combined Program Applica on form

Official copy of undergraduate transcript

Interested students are strongly encouraged to consult with the Applied Mathema cs Graduate Pro-gram Director Desale Habtzghi prior to submi ng their applica on.

28

Combined Degree in Applied Sta s cs (MS)

The ability to research, analyze, and interpret data to reduce risk and increase success is invaluable across industries. The combined degree program in Applied Sta s cs is designed to help undergraduate students hone their data-analy c skills, and to help them explore how to tackle problems of sta s cal design, analysis, and control.

This program provides students with a strong quan ta ve background for careers in business, industry, or government. It also provides a solid founda on for students interested in pursuing PhD-level work in Applied Sta s cs.


Students applying for admission into the combined degree program in Applied Sta s cs should have already completed the following undergraduate coursework:





At least one quarter of sta s cs (MAT 351 or MAT 348)

At least one quarter of computer programming (e.g., Python, Java, C++)

Students who are interested in applying to the combined degree program in Applied Sta s cs but who do not meet these requirements should consult with the Applied Sta s cs Graduate Program Director Desale Habtzghi ([email protected]).


Students may apply for admission into the combined degree program in Applied Sta s cs during their junior year of study. To apply, students should submit the following materials to the Office of Graduate Admissions ([email protected]):

CSH Combined Degree Program Applica on form


Interested students are strongly encouraged to consult with the Applied Sta s cs Graduate Program Director Desale Habtzghi prior to submi ng their applica on.

Combined Degrees Con nued...

29

Combined Degree in Pure Mathema cs (MS)

The combined degree program in Pure Mathema cs is designed to provide undergraduate Mathema cal Sciences majors with rigorous training in Pure Mathema cs as well as a solid founda on for pursuing PhD-level graduate work in mathema cs or for teaching mathema cs at the community college level. Addi onal informa on about the graduate program in Pure Mathema cs can be found on the program webpage.


Students applying for admission to the combined degree program in Pure Mathema cs should have already completed the following undergraduate coursework:





In addi on, students who plan to apply to the combined degree program in Pure Mathema cs are strongly advised to complete at least one of the following course sequences during their junior year to ensure they meet the prerequisites for graduate coursework during their senior year:

MAT 310 & MAT 311 (Abstract Algebra I & II)

MAT 335 & MAT 336 (Real Analysis I & II)

Students who are interested in applying to the combined degree program in Pure Mathema cs but who are not concurrently enrolled in either Abstract Algebra or Real Analysis, or who have not yet completed MAT 261 or MAT 262, should consult with the Pure Mathema cs Graduate Program Director Yevgenia Kashina ([email protected]).


Students may apply for admission into the combined degree program in Pure Mathema cs during their junior year of study. To apply, students should submit the following materials to the Office of Graduate Admissions ([email protected]):

CSH Combined Program Applica on form


Interested students are strongly encouraged to consult with the Pure Mathema cs Graduate Program Director Yevgenia Kashina prior to submi ng their applica on.

30

Combined Degree in Secondary Educa on Mathema cs (MEd)

The TEACH: Secondary Educa on Mathema cs program combines a College of Science and Health (CSH) undergraduate Mathema cal Sciences degree with a graduate-level College of Educa on (COE) Master's in Educa on degree. Students graduate with either a BA or BS in Mathema cal Sciences and an MEd in Educa on with a Professional Educator License and math endorsement in Secondary Educa on Mathema cs (grades 9-12 or 6-12) in the State of Illinois.

This combined degree program of the College of Science and Health and the College of Educa on was collabora vely developed and is governed and taught by faculty from both units. The program features the integra on of disciplinary content with educa onal founda ons and pedagogical content knowledge. The Junior Year Experien al Learning course, Senior Capstone course, and the three double-counted undergraduate/graduate courses offer students a seamless transi on from undergraduate to graduate studies and from major-field coursework to teacher-prepara on coursework. The 5th-year Master’s level coursework builds on students’ undergraduate experiences through a series of integrated courses that include consistent and long-term field experiences culmina ng in a student-teaching experience during the Spring of students’ fi h year.

Criteria for admission to the TEACH Program

During Junior Year

Junior standing (88 or more credit hours)

Declared, relevant CSH major

Comple on of at least 16 credit hours here at DePaul

Comple on of TCH 320 (JYEL course)

Overall gpa of 3.0

Applica on process

Submit a completed COE applica on form

Submit DePaul University unofficial transcripts

Submit two le ers of recommenda on (at least one from a faculty member in disciplinary major)

Submit a 750-word essay on teaching interests and goals

A subcommi ee of the Program’s Coordina ng Commi ee with exper se in the student’s undergraduate disciplinary major reviews all applica ons. Upon acceptance to the Program, students will be no fied via email and le er and assigned a CSH disciplinary advisor and COE academic advisor.

Admission to the TEACH Program does not cons tute admission to the 5th Year Master’s level coursework.


31

Criteria for admission to 5th year Master’s year

Upon comple on of undergraduate major program

Comple on of undergraduate degree audit

Comple on of TCH sequence and capstone coursework (during Senior Year)

Comple on of ISBE Basic Skills Test or Test of Academic Proficiency (TAP) (during Senior Year or earlier)

Comple on of COE Technology skills assessment (EDU 025) (during Senior Year or earlier)

Maintenance of a 3.0 GPA

Course Requirements

All students need to have sufficient knowledge of the subject they will be teaching. Illinois State Board of Educa on requires a minimum of 48 quarter hours (32 semester hours) in the content area subject. Typically these requirements are met concurrently with the comple on of the CSH undergraduate de-gree program. Prior to admission to the 5th Year Master’s Year, students must meet with their CSH aca-demic advisor to complete an undergraduate degree audit that will include an official wri en content area evalua on. Any areas of deficiency must be completed prior to beginning student teaching.

Content Area Requirements for Secondary Mathema cs Educa on:

All coursework in the content area must earn a grade of C or be er and a minimum of 18 quarter hours (12 semester hours) must be coursework at an undergraduate upper level or graduate level.

Calculus I

Calculus II

Calculus III

Intro to Math Reasoning or Discrete Math I and Discrete Math II

Mul variable Calculus I

Mul variable Calculus II

Linear Algebra

Programming Language

Abstract Algebra I

Theory of Numbers |or Abstract Algebra II

Geometry I

Geometry II or Real Analysis I

Probability & Sta s cs

History of Mathema cs

Junior Year Coursework: 4 undergraduate quarter hours required

TCH 320 EXPLORING TEACHING IN THE URBAN HIGH SCHOOL (fulfills undergraduate Junior Year Experien al Course requirement)

Con nued...

32

Senior Year Coursework: 4 quarter hours required

TCH 390 CAPSTONE: INTEGRATING EDUCATION & DISCIPLINARY FOUNDATIONS (fulfills undergraduate Capstone requirement; major area may require a separate Capstone course)

Undergraduate/Graduate Double‐Counted Courses: 12 undergraduate/graduate quarter hours re‐quired, grade of C or be er required.

TCH 401 TEACHING AS A PROFESSION IN SECONDARY SCHOOL

TCH 413 THE NATURE OF MATHEMATICS

TCH 423 INQUIRY & APPLICATION IN DEVELOPING SECONDARY MATHEMATICS PEDAGOGY

5th Year Master’s Year Coursework, excluding Student Teaching: 32 graduate quarter hours re‐quired, grade of C or be er required.

SCG 406 HUMAN DEVELOPMENT AND LEARNING:SECONDARY

LSI 446 PSYCHOLOGY AND EDUCATION OF THE EXCEPTIONAL CHILD

BBE 501 TEACHING ADOLESCENT ENGLISH LANGUAGE LEARNERS AND DIALECT SPEAKERS ACROSS THE CURRICULUM

TCH 453 RESEARCH METHODS & DISCIPLINARY INQUIRY: MATHEMATICS (Taken in conjunc-on with TCH 483)

TCH 473 TEACHING MATHEMATICS IN THE HIGH SCHOOL 1

TCH 483 TEACHING MATHEMATICS IN THE HIGH SCHOOL 2

TCH 495 ASSESSMENT ISSUES IN SECONDARY EDUCATION

T&L 525 READING, WRITING, AND COMMUNICATING ACROSS THE CURRICULUM

Student Teaching: 8 graduate quarter hours required

Registra on in student teaching requires comple on of all requirements and procedures listed in the college core sec on. EDU 95 indicates to the Illinois State Board of Educa on that all field experience hours are complete. It is a non-credit, non-tui on course.

TCH 590 STUDENT TEACHING (6 credit hours, grade of B- or be er required)

TCH 591 STUDENT TEACHING SEMINAR (2 credit hours)

EDU 95 CLINICAL EXPERIENCE WITH CHILDREN AND YOUTH (non-credit, non-tui on, PA grade required)


33

Licensure Tests

All individuals licensed by the Illinois State Board of Educa on (ISBE) are required to complete licen-sure tests specific to their teaching license. Secondary Educa on Math students must complete the following tests:

Test of Academic Proficiency (TAP) (test #400) - assesses knowledge of reading comprehension, lan-guage arts, wri ng, and math. Test is required to qualify for Advanced Standing. *Check with your advisor about qualifying for a waiver with acceptable ACT or SAT test scores.

Mathema cs Content Area Test (test #115) – assesses knowledge of processes and applica ons of mathema cs. Test is required before Student Teaching (deadlines apply).

EdTPA - assessment conducted during the student teaching experience including video clips of in-struc on, lesson plans, student work samples, analysis of student learning and reflec ve commen-taries. Students will submit an electronic por olio to an outside agency for independent evalua on and a fee will be imposed by that agency as part of the assessment.

Field Experiences

Each student seeking licensure from the College of Educa on/Professional Educa on Unit must com-plete supervised field experiences in appropriate se ngs in conjunc on with educa on courses. The field experiences must include a variety of grade levels, mul cultural experiences, and a minimum of 15 hours in special educa on se ngs. All field experiences must be completed prior to final approval for student teaching. Students should enter field experience hours into the FEDS system upon comple-

on of each course with field experience requirements. For details on requirements, expecta ons, documenta on, & courses in your program that require hours, visit the College of Educa on website.

34

A minor in Mathema cs can be developed to complement a major program in any major, with a focus on pure and applied mathema cal theory.


Sequence One

MAT 150 CALCULUS I

MAT 151 CALCULUS II


Sequence Two




Sequence Three




Sequence Four



MAT 149, MAT 152 OR MAT 162 Sequence Five



MAT 215 INTRODUCTION TO MATHEMATICAL REASONING

Discrete Mathema cs Sequence



Two addi onal mathema cs courses chosen from the 200 or 300-level courses which are admissible for credit as part of the common core or as part of one of the concentra ons in mathema cs.

Business students who have an excep onally strong background in calculus, including calculus of trig func-ons, may be permi ed by the chair to subs tute MAT 135 BUSINESS CALCULUS I and MAT 136 BUSINESS

CALCULUS II for MAT 150 CALCULUS I.

Students cannot earn a minor in the same academic program as their major.

Minor in Mathema cs

Course Requirements

35

The Sta s cs minor is designed for students who wish to apply advanced sta s cal skills to a career in engineering, physics, business, or biological science. Students will learn sta s cal computa on, theory, and analysis.

A total of six courses are required based upon the below outline.


Sequence One

MAT 150 CALCULUS I

MAT 151 CALCULUS II


Sequence Two




Sequence Three




Sequence Four



MAT 149, MAT 152 OR MAT 162 Sequence Five


MAT 348 APPLIED STATISTICAL METHODS

MAT 349 APPLIED STATISTICAL METHODS II

One course from the following list MAT 326 SAMPLE SURVEY METHODS MAT 328 DESIGN OF EXPERIMENTS MAT 356 APPLIED REGRESSION ANALYSIS MAT 357 NONPARAMETRIC STATISTICS

Business students who have an excep onally strong background in calculus, including calculus of trig func-ons, may be permi ed by the chair to subs tute MAT 135 BUSINESS CALCULUS I and MAT 136 BUSINESS

CALCULUS II for MAT 150 CALCULUS I. NOTE: In case a par cular course is not offered for an extended me, certain individual subs tu ons can be made in consulta on with an academic advisor.

Students cannot earn a minor in the same academic program as their major.

Minor in Sta s cs

Course Requirements

36

MAT 100 INTRODUCTION TO QUANTITATIVE REASONING An introduc on to the algebra needed for quan ta ve rea-soning with a focus on func ons and modeling. This course emphasizes the applica ons of elementary algebra and the use of func ons to model and analyze real-world situa ons. Topics include func ons from graphical, tabular, and sym-bolic points of view and models using linear, quadra c, pow-er, exponen al, and logarithmic func ons. Graphing tech-nology is used extensively. This course is prerequisite to LSP 120 and is intended for students con nuing on to LSP 120. This course is not recommended for students whose plan of study includes calculus. Prerequisite: MAT 094 or placement.

MAT 101 INTERMEDIATE ALGEBRA Func ons, factoring, ra onal expressions, roots, radicals, quadra c equa ons, quadra c inequali es. Course meets for an addi onal 1 hour lab session each week for enrich-ment and problem solving. Prerequisite: MAT 095.

MAT 110 FOUNDATIONS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I

This course gives students a deeper understanding of the founda ons of elementary mathema cs. Topics include problem solving, number systems, the decimal system, the number line, rounding, frac ons, percentages, addi on and subtrac on. MAT 101 or LSP 120 or equivalents or place-ment by test is a prerequisite for this class.

MAT 111 FOUNDATIONS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II

This course gives students a deeper understanding of the founda ons of elementary mathema cs. Topics include problem solving, frac ons, percentages, addi on, subtrac-

on, mul plica on, and division. Prerequisite: MAT 110.

MAT 112 GAMBLING AND GAMES, PROBABILITY AND STATISTICS

Students with very li le mathema cal background and li le or no compu ng background will be given a brief introduc-

on to the use of Microso Excel for mathema cal purpos-es. This will be followed by a brief discussion of chance, gambling, and probability. Several popular games (such as lo eries, roule e, craps, and poker) will be considered both from a theore cal point of view and by means of very simple computer simula on. At the end, we will discuss briefly topics from game theory such as zero-sum games and game with coopera on. Prerequisite: MAT 094 or placement.

MAT 115 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS III

Con nua on of Math 110-111. Prerequisite: MAT 111.

MAT 130 PRECALCULUS Func ons and their graphs, exponen al and logarithmic func ons, inverse func ons, polynomial and ra onal func-

ons. Prerequisite: MAT 101 or placement by test.

MAT 131 TRIGONOMETRY Trigonometric func ons, inverse trigonometric func ons, trigonometric iden es, laws of sines and cosines, polar coordinates and complex plane. MAT 130 or equivalents or placement by test is a prerequisite for this class.

MAT 135 BUSINESS CALCULUS I Differen al calculus of one or more variables with business applica ons. Prerequisite: MAT 130 or equivalent.

MAT 136 BUSINESS CALCULUS II Integral calculus, matrix algebra, and probability theory with business applica ons. A grade of C-minus or be er in MAT 135 or equivalent is a prerequisite for this class.

MAT 137 BUSINESS STATISTICS Basic concepts of sta s cs and applica ons; data analysis with the use of Excel; theore cal distribu ons; sampling distribu ons; problems of es ma on; hypothesis tes ng; problems of sampling; linear regression and correla on. A grade of C-minus or be er in MAT 136 or equivalent is a prerequisite for this class.

MAT 140 DISCRETE MATHEMATICS I Combinatorics, graph theory, proposi onal logic, singly-quan fied statements, opera onal knowledge of set theory, func ons, number systems, methods of direct and indirect proof. MAT 130 or above or equivalents or placement by test is a prerequisite for this class.

MAT 141 DISCRETE MATHEMATICS II Methods of direct and indirect proof, set theore c proofs, sequences, mathema cal induc on, recursion, mul ply-quan fied statements, rela ons and func ons, complexity. MAT 140 is a prerequisite for this class.

MAT 147 CALCULUS W/ INTEGRATED PRECALCULUS I Limits, con nuity, the deriva ve, rules of differen a on, deriva ves of trigonometric and logarithmic func ons and their inverses, and applica ons, with precalculus review included for each topic. The full MAT 147-8-9 sequence covers all the material of MAT 150-1-2 plus addi onal pre-calculus material. (6 quarter hours) Prerequisite: MAT 130 or equivalents, or placement by test.

MAT 148 CALCULUS W/ INTEGRATED PRECALCULUS II Extrema, curve sketching, related rates, definite and indefinite integrals, applications of the integral, with precalculus review in-cluded for each topic. (6 quarter hours) Prerequisite: MAT 147.

MAT 149 CALCULUS W/ INTEGRATED PRECALCULUS III Techniques of integra on, L'Hopital's rule, improper inte-grals, Taylor polynomials, series and sequences, first-order differen al equa ons, with precalculus review included for each topic. (6 quarter hours) Prerequisite: MAT 148.

Course Descrip ons

*Red = Core Course *Green = Sta s cs Course

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MAT 150 CALCULUS I Limits, con nuity, the deriva ve, rules of differen a on, deriva ves of trigonometric and logarithmic func ons and their inverses, applica ons of the deriva ve, extrema, curve sketching, and op miza on. This course meets for an addi-

onal 1-hour lab session each week for enrichment and problem solving. Prerequisite: MAT 131 or placement by test.

MAT 151 CALCULUS II Definite and indefinite integrals, the Fundamental Theorem of Calculus, applica ons of the integral, techniques of inte-gra on. This course meets for an addi onal 1-hour lab ses-sion each week for enrichment and problem solving. Pre-requisite: MAT 150 or MAT 155 or MAT 160 or MAT 170.

MAT 152 CALCULUS III L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an addi onal 1-hour lab session each week for enrichment and problem solving. Prerequisite: MAT 151 or MAT 161 or MAT 171.

MAT 155 SUMMER CALCULUS I Limits, con nuity, the deriva ve, rules of differen a on, deriva ves of trigonometric and logarithmic func ons and their inverses, applica ons of the deriva ve, extrema, curve sketching, and op miza on. Definite and indefinite inte-grals, the Fundamental Theorem of Calculus, applica ons of the integral. 6 Credit hours. Summer session only. Prerequi-site: MAT 131 or placement by Mathematics Diagnostic Test.

MAT 156 SUMMER CALCULUS II Further applications of the integral, techniques of integration. L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. 6 Credit hours. Summer session only. Prerequi-site: MAT 148 or MAT 151 or MAT 155 or MAT 161 or MAT 171.

MAT 160 CALCULUS FOR MATH AND SCIENCE MAJORS I Limits, con nuity, the deriva ve, rules of differen a on, deriva ves of trigonometric and logarithmic func ons and their inverses, applica ons of the deriva ve, extrema, curve sketching, and op miza on. This course meets for an addi-

onal 1.5-hour lab session each week for enrichment and problem solving. (5 quarter hours) Prerequisite: MAT 131 or placement by test.

MAT 161 CALCULUS FOR MATH AND SCIENCE MAJORS II Definite and indefinite integrals, the Fundamental Theorem of Calculus, applica ons of the integral, techniques of inte-gra on. This course meets for an addi onal 1.5-hour lab session each week for enrichment and problem solving. (5 quarter hours) Prerequisite: MAT 150 or MAT 155 or MAT 160 or MAT 170.

MAT 162 CALCULUS FOR MATH AND SCIENCE MAJORS III L'Hôpital's rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an addi onal 1.5-hour lab session each week for enrichment and problem solving. (5 quarter hours) Prerequisite: MAT 151 or MAT 161 or MAT 171.

MAT 170 CALCULUS FOR LIFE SCIENCES I The course covers the following topics using examples from the sciences: Func ons as models, logarithmic scale gra-phing, exponen al growth and decay, difference equa ons and limits of sequences, geometric series, func ons and limits, trigonometric func ons and their limits, con nuity, limits at infinity, the deriva ve, differen a on rules, deriva-

ves of trigonometric and exponen al func ons, related rates, deriva ves of inverse and logarithm func ons. Course meets for an addi onal lab session each week during which

me students will work on applied mathema cs projects based on the topics covered in the course. Students major-ing in the sciences should consult with their major depart-ment to decide between the 160 and 170 sequences. (5 quarter hours) MAT 131 or placement by test is a prerequi-site for this class.

MAT 171 CALCULUS FOR LIFE SCIENCES II The course covers the following topics using examples from the sciences: Applica ons of the deriva ve including approx-ima on and local linearity, differen als, extrema and the Mean Value Theorem, monotonicity and concavity, extrema, inflec on points, graphing, L'Hospital's Rule, op miza on, and the Newton-Raphson method, an deriva es, the defi-nite integral, Riemann sums, the Fundamental Theorem of Calculus, area, cumula ve change, average value of a func-

on, and techniques of integra on: subs tu on rule and integra on by parts. Course meets for an addi onal lab session each week during which me students will work on applied mathema cs projects based on the topics covered in the course. Course meets for an addi onal lab session each week during which me students will work on applied math-ema cs projects based on the topics covered in the course. (5 quarter hours) Prerequisite: MAT 150 or MAT 155 or MAT 160 or MAT 170.

MAT 172 CALCULUS III WITH DIFFERENTIAL EQUATIONS This course is designed for students in the life sciences and covers some topics from MAT 152, differen al equa ons and an introduc on to the Calculus of func ons of several variables. Specific topics are as follows. Numerical integra-

on, par al frac on expansions, Taylor approxima ons of a func on, differen al equa ons, separa on of variables, slope fields, Euler's existence theorem, polygonal approxi-ma ons to solu ons of differen al equa ons, the logis c equa on and allometric growth models, equilibiria of differ-en al equa ons and their stability, applica ons of stability theory, func ons of several variables, par al deriva ves, direc onal deriva ve and the gradient. Course meets for an addi onal lab session each week during which me students will work on applied mathema cs projects based on the topics covered in the course. (5 quarter hours) Prerequi-site: MAT 151 or MAT 161 or MAT 171.

MAT 207 HISTORY OF PROBABILITY AND STATISTICS History Of Probability And Sta s cs.

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MAT 215 INTRODUCTION TO MATHEMATICAL REASONING An introduc on to basic concepts and techniques used in higher mathema cs courses: set theory, equivalence rela-

ons, func ons, cardinality, techniques of proof in mathe-ma cs. The emphasis is on problem solving and proof con-struc on by students. The department recommends that students take this course no later than the spring quarter of the sophomore year. Prerequisite: MAT 149 or MAT 152 or MAT 156 or MAT 162 or MAT 172.

MAT 220 LINEAR ALGEBRA WITH APPLICATIONS (Primarily for non-mathema cs majors.) Systems of linear equa ons, matrices and matrix algebra, determinants, appli-ca ons to linear programming, graph theory. Prerequisite: MAT 141 or MAT 148 or MAT 151 or MAT 155 or MAT 161 or MAT 171.

MAT 242 ELEMENTS OF STATISTICS Descrip ve sta s cs, elements of probability, the binomial and normal probability models; large and small sample hy-pothesis tes ng, correla on and regression analysis. Use of computer packages. This course does not count toward mathema cs major credit. Cross-listed with SOC 279. Prerequi-sites: (MAT 095 and MAT 100) or MAT 101 or placement.

MAT 260 MULTIVARIABLE CALCULUS I Vectors, dot and cross products, parameteriza ons of lines and planes in space, func ons of several independent varia-bles, par al deriva ves, tangent planes and linear approxi-ma ons, the chain rule, direc onal deriva ves and the gra-dient vector, extreme values, Lagrange mul pliers, double integrals and their applica ons. Prerequisite: MAT 149 or MAT 152 or MAT 156 or MAT 162 or MAT 172.

MAT 261 MULTIVARIABLE CALCULUS II Surface areas, triple integrals, vector func ons and space curves, deriva ves of vector func ons, arc length and curva-ture, vector fields, line integrals, Green's Theorem, paramet-ric surfaces, surface integrals, curl and divergence, Stokes's Theorem, the Divergence Theorem. Prerequisite: MAT 260.

MAT 262 LINEAR ALGEBRA Systems of linear equa ons and matrices; vectors in n-space; vector spaces: linear combina ons, linear independ-ence, basis; linear transforma ons, change of basis, eigen-values and eigenvectors. Prerequisite MAT 260.

MAT 301 HISTORY OF MATHEMATICS History of mathema cs with problem solving. Prerequisite: C-minus or be er in MAT 141 or MAT 215, or instructor permission.

MAT 302 COMBINATORICS Methods of coun ng and enumera on of mathema cal structures. Topics include genera ng func ons, recurrence rela ons, inclusion rela ons, and graphical methods. Pre-requisite: C-minus or be er in MAT 141 or MAT 215.

MAT 303 THEORY OF NUMBERS A study of proper es of integers: divisibility; Euclid's Algo-rithm; congruences and modular arithme c; Euler's Theo-rem; Diophan ne equa ons; distribu on of primes; RSA cryptography. Prerequisite: C-minus or be er in MAT 141 or MAT 215, or instructor permission.

MAT 304 DIFFERENTIAL EQUATIONS Linear equa ons, systems with constant coefficients, series solu ons, Laplace transforms, and applica ons. Formerly MAT 338. Prerequisite: MAT 149 or MAT 152 or MAT 156 or MAT 162. Co-requisite: MAT 261.

MAT 309 TEACHING AND LEARNING SECONDARY SCHOOL MATHEMATICS

Theories, methods, and materials for teaching and learning mathema cs in secondary schools. Cross-listed with SEC 309. Prerequisite: SE 364.

MAT 310 ABSTRACT ALGEBRA I The first quarter of a 3-quarter sequence. Topics in the se-quence include the integers; abstract groups, rings, and fields; polynomial rings; isomorphism theorems; extension fields; and an introduc on to Galois theory. MAT 303 is high-ly recommended. Prerequisites: MAT 262 and (C-minus or be er in MAT 141 or MAT 215), or instructor permission.

MAT 311 ABSTRACT ALGEBRA II A con nua on of topics from MAT 310: Groups, rings, fields, polynomial rings, isomorphism theorems, extension fields, and an introduc on to Galois theory. Prerequisite: C-minus or be er in MAT 310, or instructor permission.

MAT 312 ABSTRACT ALGEBRA III A con nua on of topics from MAT 311: Groups, rings, fields, polynomial rings, isomorphism theorems, extension fields, and an introduc on to Galois theory. Prerequisite: C-minus or be er in MAT 311, or instructor permission.

MAT 320 GEOMETRY I Incidence and separa on proper es of planes; congruences; the parallel postulate; area theory; ruler and compass con-struc on. Prerequisite: C-minus or be er in MAT 141 or MAT 215.

MAT 321 GEOMETRY II Introduc on to solid geometry and non-euclidean geometry (hyperbolic and spherical models); other special topics. Prerequisite: C-minus or be er in MAT 320, or instructor permission.

MAT 323 DATA ANALYSIS & STATISTICAL SOFTWARE I Compu ng with a sta s cal package. Introduc on to data analysis, elementary sta s cal inference, regression and correla on. This course does not count toward mathema cs major credit. (CROSS-LISTED AS IT 223). Prerequisite: MAT 130 or placement by test.


39

MAT 324 DATA ANALYSIS & STATISTICAL SOFTWARE II Advanced features and applica ons of the sta s cal pack-age used in 323. (CROSS-LISTED WITH CSC 324). Prerequi-site: C-minus or be er in MAT 323, or instructor permission.

MAT 326 SAMPLE SURVEY METHODS Simple random, stra fied, systema c and cluster sampling. Mul stage and area sampling. Random-response and cap-ture-release models. Prerequisite: MAT 349 or MAT 353.

MAT 328 DESIGN OF EXPERIMENTS Linear models and quadratic forms. Single, two and several-factor experiments, incomplete designs, confounding and fractional factorial experiments. Response surfaces and partially balanced incomplete block designs. Prerequisite: MAT 349 or MAT 353.

MAT 330 METHODS OF COMPUTATION AND THEORETICAL PHYSICS I

Computa onal and theore cal methods in ordinary differen-al equa ons, complex numbers, systems of equa ons,

phase plane analysis, and bifurca ons. Applica ons to damped, driven oscillators, and to electronics.

MAT 331 METHODS OF COMPUTATION AND THEORETICAL PHYSICS II

Computational and theoretical methods in ordinary differential equations, complex numbers, systems of equations, phase plane analysis, and bifurcations. Applications to damped, driven oscilla-tors, and to electronics. Lab Fee. Prerequisite: MAT 261.

MAT 335 REAL ANALYSIS I Real number system, completeness, supremum, and infi-mum, sequences and their limits, lim inf, lim sup, limits of func ons, con nuity. Prerequisites: (MAT 149 or MAT 152 or MAT 156 or MAT 162) and (C-minus/better in MAT 141 or MAT 215).

MAT 336 REAL ANALYSIS II Proper es of con nuous func ons, uniform con nuity, se-quences of func ons, differen a on, integra on. To follow 335 in the Winter Quarter. Prerequisite: C-minus or be er in MAT 335, or instructor permission.

MAT 337 COMPLEX ANALYSIS Complex func ons; complex differen a on and integra on; series and sequences of complex func ons. Prerequisite: MAT 215 and MAT 261, or instructor permission.

MAT 340 TOPOLOGY An introduction to point-set topology: metric spaces, topological spaces, continuity, connectedness, and compactness. Prerequisites: (C-minus or better in MAT 141 or MAT 215) and (C-minus or better in MAT 262) and (C-minus or better in MAT 335), or instructor permission.

MAT 341 STATISTICAL METHODS USING SAS The SAS programming language. Data explora on, descrip-

on and presenta on. Inference based on con nuous and categorical data. Analysis of variance models and regression procedures including logis c regression. Cross-listed with MAT 448. Prerequisite: Successful comple on of the program-ming course required as part of the Math Core Curriculum.

MAT 342 ELEMENTS OF STATISTICS II Mul ple regression, correla on, analysis of variance, me series, and sampling. Course content and emphases will vary with students' needs and backgrounds. Prerequisite: MAT 137 or MAT 157 or MAT 323 or MAT 348.

MAT 343 BUSINESS STATISTICS II Mul ple regression, correla on, analysis of variance, me series and sampling. Sta s cal theory applied to business. Use of sta s cal compu ng packages. Course content will vary with the needs and desires of individual students. (FORMERLY BMS 342). Prerequisite: C-minus or be er in MAT 137, or instructor permission.

MAT 348 APPLIED STATISTICAL METHODS Introduc on to sta s cal so ware (which will be used throughout the course). Descrip ve sta s cs; elementary probability theory; discrete and con nuous probability mod-els; principles of sta s cal inference; Simple linear regres-sion and correla on analysis. Prerequisite: MAT 148 or MAT 151 or MAT 155 or MAT 161 or MAT 171.

MAT 349 APPLIED STATISTICAL METHODS II A con nua on of Mathema cs 348. Mul ple regression; analysis of frequency data, ANOVA and some experimental designs; nonparametric inference and me series analysis. Use of sta s cal so ware. Prerequisite: C-minus or be er in MAT 348, or instructor permission.

MAT 351 PROBABILITY AND STATISTICS I Probability spaces, combinatorial probability methods, dis-crete and con nuous random variables and distribu ons, moment genera ng func ons, development and applica-

ons of the classical discrete and con nuous distribu ons. Prerequisite: MAT 260.

MAT 352 PROBABILITY AND STATISTICS II Joint probability distribu ons and correla on; law of large numbers and the central limit theorem; sampling distribu-

ons and theory of es ma on. Prerequisite: C-minus or be er in MAT 351, or instructor permission.

MAT 353 PROBABILITY AND STATISTICS III Principles of hypothesis tes ng; most powerful tests and likelihood ra o tests; linear regression; one-way analysis of variance; categorical data analysis, nonparametric sta s cs. Prerequisite: C-minus or be er in MAT 352, or instructor permission.

MAT 354 MULTIVARIATE STATISTICS The mul variate normal distribu on. Hypothesis tests on means and variances including the mul variate linear mod-el. Classifica on using the linear discriminant func on. Prin-cipal components and factor analysis. (CROSS-LISTED WITH MAT 454.) Prerequisites: MAT 262 and MAT 353, or consent of instructor.

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MAT 355 STOCHASTIC PROCESSES Discrete Markov chains and random walks, birth and death processes, Poisson processes, queuing systems, and renewal processes. Cross-listed with MAT 455. Prerequisite: MAT 353.

MAT 356 APPLIED REGRESSION ANALYSIS Simple linear, mul ple, polynomial and general regression models. Selec on of best regression equa on and examina-

on of residuals for homoscedas city and other diagnos cs. Use of sta s cal so ware. Cross-listed with MAT 456. Pre-requisites: MAT 262 and MAT 353.

MAT 357 NONPARAMETRIC STATISTICS Inference concerning loca on and scale parameters, good-ness of fit tests, associa on analysis and tests of random-ness using distribu on free procedures. Bootstrap tech-niques. Smoothing methodologies. Cross-listed with MAT 457. Prerequisite: MAT 349 or 353.

MAT 358 APPLIED TIME SERIES AND FORECASTING Development of the Box-Jenkins methodology for the iden -fica on, es ma on, and fi ng of ARIMA, and transfer-func on stochas c models for the purpose of analyzing and forecas ng sta onary, non-sta onary, and seasonal me series data. The course emphasizes prac cal me-series data analysis using computer packages and includes applica-

ons to economic, business, and industrial forecas ng. Cross-listed with MAT 512. Prerequisites: MAT 341 and MAT 353.


Techniques of computer simula on of the classical univari-ate and mul variate probability distribu on models, and such random processes as random walk, Markov chains, and queues. Cross-listed with MAT 459. Prerequisites: MAT 341 and MAT 353.

MAT 361 THEORY OF INTEREST Theory and applica ons of compound interest to annui es, amor za on schedules, sinking funds, bonds, and yield rates. Prerequisite: MAT 149 or MAT 152 or MAT 156 or MAT 162.

MAT 362 LIFE CONTINGENCIES I Basic Con ngencies: The theory and applica ons of con n-gency mathema cs in life and health insurance, annui es, and pensions from both a probabilis c and a determinis c viewpoint. Topics include survival distribu on and life tables, life insurance, and life annui es. Prerequisite: C-minus or be er in MAT 361, or instructor permission. Co-requisite: MAT 352.

MAT 363 LIFE CONTINGENCIES II Advanced Con ngencies: A con nua on of Mathema cs 362. Topics include net premiums, net premiums reserves, mul ple life func ons, mul ple decrement models, and valua on theory for pension plans. Prerequisite: MAT 352 and a grade of C-minus or be er in MAT 362, or instructor permission.

MAT 364 STOCHASTIC RISK MODELS Distribu onal quan es, distribu on proper es and classifi-ca on, frequency and severity models, aggregate loss and ruin models. Cross-listed with MAT 464. Prerequisite: MAT 353.

MAT 365 STOCHASTIC SURVIVAL MODELS Construc on of parametric and nonparametric models, model valida on and selec on, credibility theory, simula on techniques. Cross-listed with MAT 465. Prerequisite: MAT 353.

MAT 366 MATHEMATICAL DEMOGRAPHY Introduc on to demography; mortality table construc on and methods of popula on and demographic analysis. Pre-requisite: MAT 353.

MAT 367 CREDIBILITY THEORY Credibility theory and loss distribu ons with applica ons to casualty insurance classifica on and finance. Cross-Listed as MAT 467. Prerequisite: MAT 352.

MAT 368 MATHEMATICAL FINANCE The course covers the mathema cs of financial deriva ves, investment strategies, arbitrage, put-call parity, binomial models for European op ons and interest rates, Black-Scholes formula, hedging, lognormal models for asset prices, exo c op ons, valua on using Monte-Carlo, and embedded op ons in annuity products. Prerequisite: MAT 352 and MAT 361.

MAT 370 ADVANCED LINEAR ALGEBRA Vector spaces, basis and dimension; matrix representa on of linear transforma ons and change of basis; diagonaliza-

on of linear operators; inner product spaces; diagonaliza-on of symmetric linear operators, principal-axis theorem,

and applica ons. Cross-listed MAT 470. Prerequisites: MAT 262 and (C-minus or be er in MAT 141 or MAT 215).

MAT 372 LOGIC AND SET THEORY Topics in axioma c set theory, formal logic, and computabil-ity theory. Prerequisite: C-minus or better in MAT 141 or MAT 215.

MAT 381 FOURIER ANALYSIS AND SPECIAL FUNCTIONS The course covers the basic principles of discrete and con n-uous Fourier analysis and some of its applica ons currently used in scien fic modeling. Students will use the computer to implement the computa onal algorithms developed in the course. Some of the topics covered will include Fourier transforms and their applica on to signal and image pro-cessing, discrete Fourier series, the fast Fourier transform algorithm and applica ons to digital filtering, and the Radon transforms and its applica ons to tomography. Prerequisite: MAT 262.

MAT 384 MATHEMATICAL MODELING Modeling of real world problems using mathema cal meth-ods. Includes a theory of modeling and a study of specific models, selected from determinis c, stochas c, con nuous, and discrete models. Cross-listed with MAT 484. Prerequi-site: MAT 262.

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MAT 385 NUMERICAL ANALYSIS I Use of a digital computer for numerical computa on. Error analysis, Gaussian elimina on and Gauss-Seidel method, solu on of non-linear equa ons, func on evalua on, cubic splines, approxima on of integrals and deriva ves, Monte Carlo methods. Cross-listed with MAT 485. Prerequisites: MAT 262, and a programming course required as part of the Math Core Curriculum, or consent of instructor.

MAT 386 NUMERICAL ANALYSIS II Theory and algorithms for efficient computa on, including the Fast Fourier transform, numerical solu on of non-linear systems of equa ons. Minimiza on of func ons of several variables. Sparse systems of equa ons and corresponding eigenvalue problems. (CROSS-LISTED WITH MAT 486 & CSC 386/486). Prerequisite: C-minus or be er in MAT 385, or instructor permission.

MAT 387 OPERATIONS RESEARCH I: LINEAR PROGRAMMING

The Linear Programming problem and its dual; the simplex method; transporta on and warehouse problems; computer algorithms and applica ons to various fields. (CROSS-LISTED AS MAT 487). Prerequisites: MAT 262 and (any introductory programming course).

MAT 388 OPERATIONS RESEARCH II: OPTIMIZATION THEORY

Integer programming; non-linear programming; dynamic programming; queuing theory; game theory. (CROSS-LISTED AS MAT 488). Prerequisite: C-minus or be er in MAT 387, or instructor permission.

MAT 389 OPERATIONS RESEARCH III Advanced Topics. Prerequisite: C-minus or be er in MAT 388, or instructor permission.

MAT 390 MATHEMATICS READING AND RESEARCH The course provides students with a hands-on experience about research in mathema cal sciences. Students a end seminars and research colloquia, and ac vely par cipate at discussions about the topics presented. Students reflect on the connec ons between various areas of modern mathe-ma cs, the challenges of structuring and solving problems, and the personal experience of doing mathema cs. As a final project, each student prepares and presents a mathe-ma cal expository paper describing a current area of research, emphasizing its relevance to mathema cs in general and its connec ons to real world problems. This course may be used to sa sfy the junior-year experien al learning (JYEL) requirement.

MAT 391 STUDIES IN DEMOGRAPHY The course introduces students to the study by sta s cal methods of human popula ons in terms of type of data sources, popula on composi on, growth, fer lity, mortality, morbidity, health, migra on, and urbaniza on. In addi on, the course has a major component that emphasizes the study of current characteris cs of the popula ons of devel-oping countries in comparison with some developed coun-tries including the United States of America. Students are required to present and submit a research project with com-para ve analysis of demographic sta s cs obtained on sev-eral developing and developed countries.

MAT 395 TOPICS IN MATHEMATICS Consult course schedule for current offerings. Course may be repeated for credit when tle and content change. Varia-ble credit allowed.

MAT 396 SENIOR THESIS RESEARCH A thesis op on is available to mathema cs majors who wish to pursue an extended independent project related to a theore cal or applied focus of the program. Students would work under the guidance of a faculty mentor. A total of 4 credits must be completed over the one or two quarters prior to the thesis submission. Interested students are strongly encouraged to enroll in MAT 390 during their junior year. (2 quarter hours)

MAT 397 MATHEMATICAL PEDAGOGY:THEORY & PRACTICE

Introduc on to current theories and prac ces in college mathema cs instruc on; helps undergraduate mathema cs majors develop a deeper understanding of fundamental mathema cal concepts and an awareness of how people learn mathema cal ideas, and prepares them to work as consultants in mathema cs instruc on. Mathema cal tutor-ing prac cum is required. Four credit hour course offered over a two quarter span during the autumn and winter quar-ters only. See instructor for further informa on. This course maybe used to sa sfy the junior experien al learning re-quirement, but it does not count toward mathema cs major or minor credit. Cross-listed with MAT 697.

MAT 398 SENIOR CAPSTONE SEMINAR Topics vary from year to year. This course does not count toward the mathema cal major or minor credit. Prerequi-sites: MAT 215 (or MAT 140 and 141) and MAT 262, or in-structor permission.

MAT 399 INDEPENDENT STUDY Variable credit.


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Prerequisite Chart (Mathema cs Concentra ons*)

131

130

147 150 160 170

148 151 161 171

149 152 162

260

261

OR

381

304

262

AND

340

301

Major

Core

Aux

140

215 141

OR

302

303

320

335

372

337

Prerequisite

Corequisite

321

336

AND

310 311 312

385 386

AND

370

AND

Major

Core

Non‐Major

*Charts do not indicate all possible prerequisite links—only those associated with concentra ons in the major.

‡Any programming course required as part

of the Math Core Curriculum.

155

156

C-minus/be er

CSC 241‡

387 388

AND

389

384

43

Prerequisite Chart (Actuarial & Sta s cs Concentra ons*)

131

130

147 150 160 170

148 151 161 171

149 152 162

260

261

OR

351

262

326

140

215

141

328

357

356

352

355

342

353

354

323

324

OR

348

349

OR

364

365

366

AND

OR

137 343

384 AND 341 358

359

361 362

363

155

156

367

385

CSC 241‡

AND

AND AND

368

44

Course Scheduling

AQ WQ SQ Course Title

110 110 Mathema cs for Elementary School Teachers I

111 111 Mathema cs for Elementary School Teachers II

130 130 130 Precalculus

131 131 131 Trigonometry

135 135 135 Business Calculus I

136 136 136 Business Calculus II

137 137 137 Business Sta s cs

140 140 140 Discrete Mathema cs I

141 141 141 Discrete Mathema cs II

147 Calculus with Integrated Precalculus I

148 Calculus with Integrated Precalculus II

149 Calculus with Integrated Precalculus III

150 150 150 Calculus I

151 151 151 Calculus II

152 152 152 Calculus III

160 Calculus for Math & Science Majors I

161 Calculus for Math & Science Majors II

162 Calculus for Math & Science Majors III

170 Calculus for Life Sciences I

171 Calculus for Life Sciences II

172 Calculus III with Differen al Equa ons

215 215 215 Introduc on to Mathema cal Reasoning

242* 242* 242* Elements of Sta s cs

260 260 260 Mul variable Calculus I

261 261 261 Mul variable Calculus II

262 262 262 Linear Algebra

301 History of Mathema cs

302 Combinatorics

303 Number Theory

304 Differen al Equa ons

310 Abstract Algebra I

311 Abstract Algebra II

312 Abstract Algebra III

320 Geometry I

321 Geometry II

45

AQ WQ SQ Course Title

326 Sample Survey Methods

328 Design of Experiments

335 Real Analysis I

336 Real Analysis II

337 Complex Analysis

340 Topology

341 341 Sta s cal Methods Using SAS

348 Applied Sta s cal Methods

351 Probability & Sta s cs I

352 Probability & Sta s cs II

353 Probability & Sta s cs III

355 Stochas c Processes

356 Applied Regression Analysis

357 Nonparametric Sta s cs

358 Applied Time Series & Forecas ng

359 Simula on Models & Monte Carlo Method

361 Theory of Interest

362 Life Con ngencies I

363 Life Con ngencies II

364 Stochas c Risk Models

368 Mathema cal Finance

370 Advanced Linear Algebra

384 Mathema cal Modeling

385 Numerical Analysis I

386 Numerical Analysis II

395 Topics in Mathema cs

397 Mathema cal Pedagogy: Theory & Prac ce

398 Senior Capstone

Thechartrepresentstypicalofferings,notanimpliedguarantee.CoursesnotappearinghavenotbeenofferedsinceWQ2014.

*Offeredasthecross‐listedSOC279

Key

Day Only

Day & Night

Night Only

46

Gary Clark Alexander Term Assistant Professor 773.325.2061, SAC 530D [email protected]

Enrico Au‐Yeung Assistant Professor Harmonic Analysis 773.325.1341, SAC 532 [email protected]

Allan Berele Professor Algebra, Combinatorics 773.325.4217, SAC 528C [email protected]

Jeffrey Bergen Professor Graduate Program Director Mathema cs Educa on & Mathema cs for Teaching 773.325.4218, SAC 528B [email protected]

Sarah Bock ng‐Conrad Assistant Professor Algebra 773.325.4224, SAC 536 sarah.bock [email protected]

Bill Bu erworth Associate Chair; Associate Professor 773.325.4227, SAC 573H wbu [email protected]

Andrew Carroll Assistant Professor Representa on Theory, Invariant Theory 773.325.4225, SAC 512 [email protected]

Stefan Catoiu Associate Professor Non-Commuta ve Algebra 773.325.4669, SAC 526 [email protected]

William Chin Professor Hopf Algebras, Representa on Theory 773.325.4219, SAC 540 [email protected]

Christopher Drupieski Associate Professor Representa on Theory 773.325.4221, SAC 542 [email protected]

Desale Habtzghi Associate Professor, Graduate Program Director Applied Mathema cs & Applied Sta s cs 773.325.4054, SAC 504 [email protected]

Juan Hu Assistant Professor Sta s cs 773.325.1344, SAC 508 [email protected]

Glenn Hughes Term Assistant Professor 773.325.2061, SAC 530D [email protected]

David Jabon Associate Professor STEM Studies, Mathema cal Sciences 773.325.7248 [email protected]

Yevgenia Kashina Associate Professor; Graduate Program Director Pure Mathema cs 773.325.1351, SAC 518 [email protected]

Hung‐Chih Ku Assistant Professor Sta s cal Gene cs 773.325.1347, SAC 538 [email protected]

Yiou Li Assistant Professor Sta s cs 773.325.2062, SAC 506 [email protected]

Karl Liechty Assistant Professor Analysis & Probability Theory 773.325.1364, SAC 550 [email protected]

I r Mogultay Term Assistant Professor 773.325.2061, SAC 530D [email protected]

Carolyn Narasimhan Director of the STEM Center 773.325.1854 990 W Fullerton, Suite 4410 [email protected]

Stefanos Orfanos Assistant Professor Operator Algebras 773.325.4223, SAC 534 [email protected]

T. Kyle Petersen Associate Professor Combinatorics 773.325.1353, SAC 510 [email protected]

Nicholas Ramsey Associate Professor Number Theory 773.325.4226, SAC 544 [email protected]

Claudia Schmegner Associate Professor Sta s cs 773.325.1342, SAC 514 [email protected]

David Sher Assistant Professor Spectral Geometry 773.325.4222, SAC 528A [email protected]

Bridget Tenner Associate Professor Combinatorics 773.325.4220, SAC 522 [email protected]

Katherine Thompson Assistant Professor Number Theory 773.325.1340, SAC 516 [email protected]

Ilie Ugarcovici Associate Professor Dynamical Systems 773.325.1354, SAC 520 [email protected]

Gang Wang Professor Probability, Sta s cs, Analysis 773.325.1352, SAC 528 [email protected]

Ahmed A. Zayed Chair and Professor Applied Harmonic Analysis 773.325.7808, SAC 524 [email protected]

Full‐Time Faculty

47

Louis Aquila [email protected]

Byron Bell [email protected]

Esther Beneish [email protected]

Charles Benson [email protected]

Carole Berne [email protected]

Joanne Brunner [email protected]

Stanislaw Buchcic [email protected]

Serpil Caputlu [email protected]

Jan Costenbader [email protected]

Manabendra Das [email protected]

Timothy Doyle [email protected]

Mike Foster [email protected]

Charles Groth [email protected]

Daniel Hayes hayessta s [email protected]

Dan Hrozencik dhro@a .net

Ivan Ivanov [email protected]

Rachel Johnson [email protected]

Yann (Marie) Ju [email protected]

Zaya Khananu [email protected]

Ron Kuziel [email protected]

Vladimir Lepe c vlepe [email protected]

Jenna McDanold [email protected]

Selma Mehmedagic [email protected]

Dennis Miller [email protected]

Michael Modica [email protected]

Linda Potaniec [email protected]

Ann Rogers [email protected]

Samir Sarkes [email protected]

Steven Seidman [email protected]

Abdallah Shuibi [email protected]

Biju Varghese [email protected]

Bijan Zandi [email protected]

George Zazi [email protected]

Adjunct Faculty

48

Notes

1.17.2017

49

Admission Office 312-362-8300 Department of Mathema cal Sciences Schmi Academic Center 502 2320 North Kenmore Avenue Chicago, IL 60614-3250 773-325-7806 773-325-7087 (FAX) Ahmed Zayed Department Chair [email protected] 773-325-7808 Nydia Rodriguez Department Assistant [email protected] 773-325-4878 Teresita Gomez Office Assistant [email protected] 773-325-7806 Bill Bu erworth Associate Department Chair wbu [email protected] 773-325-4227 Jeffrey Bergen Director, MAMEd Program [email protected] 773-325-4218

Desale Habtzghi Director, Graduate Applied Mathema cs

& Applied Sta s cs [email protected] 773-325-4054 Yevgenia Kashina Director, Graduate Pure Mathema cs [email protected] 773-325-1351 Actuarial Club [email protected] orgsanddepartments.orgsync.com/org/

depasc/home Math Club [email protected] orgsync.com/39792/chapter STATCOM Chicago [email protected] orgsync.com/48609/chapter

Quick Connec ons

Department of Mathema cal Sciences 2320 North Kenmore Avenue Chicago, IL 60614-3250

Cover graphic from www.fromoldbooks.org

Documents

Undergraduate Handbook - DePaul UniversityThe Lab schedules are generally posted online and outside the door, and at go.depaul.edu/math. These spaces also make compu ng available through