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MAT 364/COS 374 Professor Viles Syllabus MAT 364/COS 374: Numerical Analysis Department of Mathematics and Statistics University of Southern Maine Spring 2019 Instructor Weston D. Viles C580 Science Building, Fifth Floor Portland Campus [email protected] Meeting Information Days Tuesday & Thursday Times 1:15 - 2:30 p.m. Room Payson Smith 207 Location Portland USM Campus Office Hours Tuesday 11:30 - 12:30 p.m. 05:30 - 06:30 p.m. Thursday 11:30 - 12:30 p.m. M/W/F by appointment: please feel free to contact me to schedule a time *Many days I’m available immediately after class, too. Prerequisites MAT 252 - Calculus C MAT 295 - Linear Algebra COS 160 - Structured Problem Solving: Java Or instructor permission Textbook Atkinson, Kendall E. and Han, Weimin. Elementary Numerical Analysis, 3 rd edition. Wiley, 2003. Resources Textbook Companion: Professor Atkinson’s university website contains an abundance of quality materials related to our course textbook. This resource cannot replace the textbook but may accompany it. Date: January 23, 2019 DRAFT Copyright 2019 Weston D. Viles

Syllabus - University of Southern Maine€¦ · MAT 364/COS 374 Professor Viles Syllabus MAT 364/COS 374: Numerical Analysis Department of Mathematics and Statistics University of

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Page 1: Syllabus - University of Southern Maine€¦ · MAT 364/COS 374 Professor Viles Syllabus MAT 364/COS 374: Numerical Analysis Department of Mathematics and Statistics University of

MAT 364/COS 374 Professor Viles

Syllabus

MAT 364/COS 374: Numerical Analysis

Department of Mathematics and StatisticsUniversity of Southern Maine

Spring 2019

Instructor

Weston D. VilesC580 Science Building, Fifth FloorPortland [email protected]

Meeting Information

Days Tuesday & ThursdayTimes 1:15 - 2:30 p.m.Room Payson Smith 207

Location Portland USM Campus

Office HoursTuesday 11:30 - 12:30 p.m.

05:30 - 06:30 p.m.Thursday 11:30 - 12:30 p.m.M/W/F by appointment:

please feel free to contactme to schedule a time

*Many days I’m available immediately after class, too.

Prerequisites

MAT 252 - Calculus CMAT 295 - Linear AlgebraCOS 160 - Structured Problem Solving: JavaOr instructor permission

Textbook

Atkinson, Kendall E. and Han, Weimin. Elementary Numerical Analysis, 3rd edition. Wiley, 2003.

Resources

Textbook Companion:Professor Atkinson’s university website contains an abundance of quality materials related toour course textbook. This resource cannot replace the textbook but may accompany it.

Date: January 23, 2019

DRAFT

Copyright 2019 Weston D. Viles

Page 2: Syllabus - University of Southern Maine€¦ · MAT 364/COS 374 Professor Viles Syllabus MAT 364/COS 374: Numerical Analysis Department of Mathematics and Statistics University of

MAT 364/COS 374 Professor Viles

Programming Language:The Python programming language is freely available for download. See the Python handout onBlackboard for more details and suggestionss for your using Anaconda.

Course Website:Please be sure to check the Blackboard course page regularly for announcements, assignments,online responses, and the grade book, among other course-related information.

Course Description

A study of the theory and application of computational algorithms for interpolation, equationsolving, matrix methods, integration, and error analysis. This course will bridge the theoreti-cal and practical aspects of the subject. Prerequisites: MAT 252, MAT 295, and COS 160; orpermission of instructor.

Course Goals

We endeavor to cover all chapters of the required textbook. By the end of this semester, youwill be able to identify the sources and magnitudes of errors, often the objects of primary con-cern of this subject, in numerical approximations to symbolic mathematical expressions. Youwill be able to construct the proper theoretical framework for practical problems and implementaccurate numerical algorithms to approximate their solutions in the context of function approxi-mation, root-finding, integrating and differentiating, systems of linear equations, and differentialequations. You will have established the foundation for expressing solutions to core problems inthe discipline of numerical mathematics.

It is assumed that your are comfortable with the concepts of differentiation and integration ofMAT 252 Calculus C, the topics of MAT 295 Linear Algebra. and the fundamentals of computerprogramming of COS 160 Structured Problem Solving.

Our focus will be both theoretical and applied and you will be expected to derive theoreticalresults using mathematical techniques. You will be asked to implement procedures to validatetheoretical results in applied problems using computer programming.

Grades and Evaluation

Grade Distribution

Assignment PointsHomework/Applications 25

Midterm Exam A 20Midterm Exam B 20

Final Exam 35Course Total 100

Homework

The foundation of your mathematical knowledge is solidified through problem solving in home-work exercises. You are encouraged to work together on homework assignments but you mustsubmit your own solutions that demonstrate some amount of individual effort. Exam problemsare generally similar to the exercises from homework assignments so effort placed into homeworkassignments often translates to success in the course.

Date: January 23, 2019

DRAFT

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MAT 364/COS 374 Professor Viles

Homework is generally assigned weekly and collected at the start of the designated class period.Some homework assignments may be more involved than others and require more than one weekto complete. In such instances, the homework schedule will be adjusted accordingly. A penaltywill be assessed for late submissions. The scale for homework grades as in the following.

10 Perfect no logical errors and no computational errors9 Excellent no logical errors and few computational errors8 Good some logical errors or many computational errors7 Average good effort but some needs work6 Below Average average effort and/or needs moderate work5 Poor minimal effort and/or needs substantial work...

......

0 No credit no submission

An excellent homework submission will have applied ideas and concepts accurately and is vir-tually free of errors. You will only receive a zero if you do not submit any solutions or if yoursubmission is in direct violation of the academic integrity policy.

Late homework will incur a daily two-point deduction. No homework is accepted once the as-signment has been returned or the solutions have otherwise been made available.

Applications

Applications, or applied homework problems, directly involve computer programming and simu-lation. You will be required to submit (i) commented Python code, (ii) evidence that your programoperates as intended, and (iii) a brief description of the procedure. Details on the expectationsfor each applied problem set will be provided for each assignment. Applied problem sets aregraded on the same scale as homeworks and, depending on the difficulty and time required,may have different weight from a homework assignment. The weight of each assignment will bestated clearly on the top of the handout. You are permitted to submit solutions individually orone solution per two people. Like homework assignments, you are encouraged to collaborate,but each submission must contain evidence of a unique effort.

Exams

Exams may include (i) in-person and closed book exercises or (ii) take-home computational dataanalysis problems. The midterm exams are to be taken in-class. The final exam is to be takenduring the finals period in the designated room and is comprehensive. Each exam must betaken at the specified time except for official purposes or my discretion–you should notify mein advance of your absence. The content expressly tested on each midterm is indicated in thecourse schedule (see last page of the syllabus).

General Rules

Electronic Devices. Phones and computers, among other electronic devices, cannot be used dur-ing the class period except for accommodation purposes.

Work hard. In the ecosystem of ideas that is our classroom, the limiting factor is only your energylevel. You will find my energy level to meet your own and I encourage you to invest in your ownlearning my putting in the time to understand the material.

Attendance. While I don’t maintain a formal record of who attends class, it is difficult to ignoreabsences in a small-classroom setting. Though absences won’t directly impact your grade, I willcontact you if a trend appears to be emerging.

Date: January 23, 2019

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MAT 364/COS 374 Professor Viles

There are two versions of you in the course: (i) the name I read from your paper and associatewith the work on it and (ii) the face I see in class and associate with your questions and ourinteractions. Doing well in this course will require making both of those versions visible to me.

Office Hours. These one-to-one or small-group settings are an excellent resource for when youare frustrated by a homework problem or need some extra help to prepare for an exam. Theyare, however, not a substitute for class time.

Communication. Please feel free to address me simply as “Professor” in written and spoken com-munication. When corresponding via email, please be sure to somehow indicate the course inwhich you are enrolled. Please generally reserve email communication to administrative itemssince content-related questions are best discussed in class where all students can benefit.

Please never hesitate to raise your hand to ask questions or point out an error of mine–I en-courage constructive interference. If I don’t see you, then please speak up. If I ask a questionto the class, please feel free to speak up with an answer but also please be courteous to yourclassmates and allow someone else to answer from time-to-time.

Course Schedule

See the last page of the syllabus for the course schedule.

Disability Accommodations

The university is committed to providing students with documented disabilities equal access toall university programs and services. If you think you have a disability and would like to requestaccommodations, you must register with the Disability Services Center. Timely notification isessential. The Disability Services Center can be reached by calling 207-780-4706 or by [email protected]. If you have already received a faculty accommodation letter from the Dis-ability Services Center, please provide me with that information as soon as possible. Please makea private appointment so that we can review your accommodations.

Academic Integrity

Everyone associated with the University of Southern Maine is expected to adhere to the prin-ciples of academic integrity central to the academic function of the University. Any breach ofacademic integrity represents a serious offense. Each student has a responsibility to know thestandards of conduct and expectations of academic integrity that apply to academic tasks. Viola-tions of academic integrity include any actions that attempt to promote or enhance the academicstanding of any student by dishonest means. Cheating on an examination, stealing the words orideas of another (i.e., plagiarism), making statements known to be false or misleading, falsifyingthe results of one’s research, improperly using library materials or computer files, or alteringor forging academic records are examples of violations of this policy which are contrary to theacademic purposes for which the University exists. Acts that violate academic integrity disruptthe educational process and are not acceptable.

Evidence of a violation of the academic integrity policy will normally result in disciplinary action.A copy of the complete policy may be obtained from the office of Community Standards andMediation, online at usm.maine.edu/communitystandards/academic-integrity or by callingand requesting a copy at (207) 780-5242.

Date: January 23, 2019

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Copyright 2019 Weston D. Viles

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MAT 364/COS 374 Professor Viles

Title IX Statement

The University of Southern Maine is committed to making our campuses safer places for stu-dents. Because of this commitment, and our federal obligations, faculty and other employees areconsidered mandated reporters when it comes to experiences of interpersonal violence (sexualassault, sexual harassment, dating or domestic violence, and stalking). Disclosures of interper-sonal violence must be passed along to the University’s Deputy Title IX Coordinator who can helpprovide support and academic remedies for students who have been impacted. More informa-tion can be found online at http://usm.maine.edu/campus-safety-project or by contactingSarah E. Holmes at [email protected] or 207-780-5767.

If students want to speak with someone confidentially, the following resources are available onand off campus: University Counseling Services (207-780-4050); 24 Hour Sexual Assault Hotline(1-800-871-7741); 24 Hour Domestic Violence Hotline (1-866-834-4357).

Date: January 23, 2019

DRAFT

Copyright 2019 Weston D. Viles