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COURSE SYLLABUS

A Course Title

& Number Calculus II: MTH104

B Pre/Co-requisite(s) Pre-requisite: MTH103 (Calculus I)

C Number of credits 3D Faculty Name Dr. Zayid Abdulhadi

E Term/ Year Fall 2013

F Sections

CRN Course Days Time Location

10133

10135

MTH104.02

MTH104.04

UTR

UTR

9:00 - 9:50

10:00 - 10:50

NAB 009

NAB 007

G Instructor

InformationInstructor Office Telephone Email

Zayid Abdulhadi NAB 247 06 515 2915 zahadi@aus.edu

Office Hours:

MW 11:00-12:30 & U: 11-11:50amH Course Description

from Catalog

Covers techniques of integration, improper integrals, sequences, infinite series, power series,

parameterized curves, polar coordinates, integration in polar coordinates and complex

numbers.

I Course Learning

Outcomes

Upon completion of the course, students will be able to:

Read, analyze, and apply to problems, written material related to the study of calculus. Use the appropriate technique(s) including integration by parts, trigonometricsubstitutions, partial fractions, etc. to integrate algebraic, logarithmic, exponential,

trigonometric, and composite functions.

Evaluate improper integrals and test them for convergence. Compute arc length and surface area of revolution of graphs and parametric curves. Graph polar curves and find enclosed area and arc length. Apply theorems about limits of sequences. Use various tests to determine the convergence of series. Manipulate power series and use them to represent functions. Determine the Taylor series of a function, prove whether or not it converges to the function,

and find its interval of convergence.

Apply Taylor series to approximation problems. Use series to explore real world problems. Use complex operations. Find power and roots of complex numbers.

J Textbook and

other Instructional

Material and

Resources

Calculus, Early Transcendentals, 7th Edition, by J. Stewart, 2008, Brook/Cole

K Teaching and

Learning

This is a traditional lecture based course. Students tested and given feedback throughout the

semester via regular homework, quizzes and exams.

mailto:zahadi@aus.edumailto:zahadi@aus.edumailto:zahadi@aus.edu

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COURSE SYLLABUS

Methodologies

L Grading Scale,

Grading

Distribution, and

Due Dates

Grading Scale

Grading Distribution

Assessment Weight Date

Quizzes and homework 15%

Recitation 5%

Exam 1 22.5% Wed, October 30 (6:00-7:30pm)

Exam 2 22.5% Wed, December 11 (6:00-7:30pm)

Final Exam 35%

Total 100%

M Explanation of

Assessments Exams, Quizzes and Assignments.

N Student Academic

Integrity Code

Statement

Student must adhere to the Academic Integrity code stated in the 2013-2014 undergraduate

catalog

SCHEDULE

Note: Tests and other graded assignments due dates are set. No addendum, make-up exams, or extra assignments to improve grades

will be given.

# WEEKCHAPTER/SECTIONS NOTES

1 Sept 15 - Sept 19

5: Review of Formulas and Integration Techniques

7.1: Integration by Parts

7.2: Trigonometric Integrals

2 Sept 22 - Sept 26

7.3: Trigonometric Substitution

7.4: Integration of Rational Functions by Partial

Fractions

3 Sept 29Oct 3

7.5: Strategy for Integration

7.8: Improper Integrals

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COURSE SYLLABUS

4 Oct 6Oct 10

8.1: Arc Length

8.2: Area of a Surface of Revolution

Oct 13Oct 17 Holiday (Eid Al Adha)

5

Oct 20Oct 24 10.1: Parametric Equations

10.2: Calculus with Parametric Curves

6

Oct 27Oct 31 Review for Midterm Exam 1

Midterm Exam 1

Exam 1 : Wed,October 29, 6:00-7:30pm

Sections:7.1-7.5, 7.8, 8.1-8.2, 10.1-10.2

7

Nov 3Nov 7 10.3: Polar Coordinates

10.4 Area and Length in Polar Coordinates

8

Nov 10Nov 14 11.1: Sequences of Real Numbers

11.2 Infinite Series

9

Nov 17Nov 21 11.3: Integral Test and Estimates of Sums

11.4: Comparison Tests

10 Nov 24Nov 28

11.5: Alternating Series

11.6: Absolute Convergence and the Ratio and Root

Tests

11 Dec 1Dec 5 11.8: Power Series

12

Dec 8Dec 12Review for Midterm Exam 2

Midterm Exam 2

Exam 2 :Wed, December 11, 6:00-

7:30pm

Sections:10.3-10.4, 11.1-11.6, 11.8

13 Dec 15Dec 19 11.9: Representation of Functions as Power Series

14 Dec 22Dec 26 11.10: Taylor and Maclaurin Series

15

Dec 29Jan 2 11.11: Applications of Taylor Polynomials

Complex Numbers

16 Jan 5Jan 9 Final Exam Review

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Math 104 Suggested Problems

TEXTBOOK: Calculus Early Transcendentals, 7thedition by James Stewart

Section Page Exercises

7.1 468 3, 4, 7, 9, 10, 11, 13, 15, 18, 24, 26, 32, 33, 42

7.2 476 3, 7, 10, 13, 15, 19, 22, 25, 28, 29, 34, 39, 41, 55

7.3 483 1, 2, 3, 5, 8, 9, 13, 15, 23, 24, 26, 27

7.4 492 1, 3, 6, 7, 9, 11, 15, 17, 22, 23, 31, 43, 45, 47, 49, 54

7.5 499 3, 7, 8, 15, 17, 33, 37, 41, 42, 44, 45, 49, 58, 70, 73, 76, 80

7.8 527 1, 2, 5, 7, 10, 12, 13, 17, 19, 21, 25, 29, 33, 39, 49, 50, 52, 53, 58, 59

8.1 543 4, 7, 9, 11, 13, 15, 17

8.2 550 1, 3, 5, 7, 8, 10, 13, 1610.1 641 1, 3, 5, 7, 9, 11, 14, 18, 19, 21, 28

10.2 651 1, 3, 5, 7, 11, 13, 15, 17, 18, 29, 30, 37, 41, 43, 57

10.3 662 1, 5, 7, 9, 11, 15, 17, 20, 23, 25, 29, 31, 35, 39, 41, 43, 54, 55, 57,59, 61

10.4 668 1, 3, 9, 11, 19, 23, 25, 27, 29, 31, 33, 37, 39, 41, 45

11.1 700 3, 7, 10, 11, 19, 21, 23, 25, 28, 30, 33, 37, 43, 47, 52, 73, 76, 77

11.2 711 3, 15, 17, 20, 23, 26, 29, 32, 35, 39, 42, 43, 45, 47, 51, 54, 57, 61

11.3 720 3, 5, 7, 11, 15, 17, 19, 23, 26, 27, 29, 32, 36, 37

11.4 726 2, 3, 5, 10, 11, 15, 17, 21, 25, 28, 31, 43, 44

11.5 731 3, 5, 6, 9, 11, 14, 17, 20, 23, 25, 27, 3311.6 737 2, 3, 7, 10, 11, 13, 14, 17, 19, 23, 25, 29, 35

11.7 740 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 31, 34, 35, 37, 38

11.8 745 3, 5, 9, 11, 13, 15, 19, 23, 27, 29

11.9 751 4, 5, 8, 11, 13, 15, 17, 19, 25, 28, 31, 37

11.10 765 5, 8, 10, 13, 15, 19, 25, 33, 34, 45, 46, 47, 49, 51, 53, 55, 57, 63, 65

Appendix H A64 3, 6, 8, 9, 12, 14, 16, 19, 23, 25, 27, 29, 31, 33, 36, 37, 40, 41, 46, 47