Calculus II

MATH 2153-003

Time and Place: MWF 9:30-10:20 in PS 355
Professor: Igor E. Pritsker
Office: MSCS 524
Office Hours: MWF 10:30-11:30
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: http://www.math.okstate.edu/~igor/math2153/math2153_spring2008.html
Textbook: Calculus, by James Stewart, 5th Ed.

Grading: There will be two semester tests and the Final Exam. The break up of your course grade is as follows:

Tests 1 and 2 40% (20% each)

Homework 20%

Final Exam 40%

Your grade will be determined according to the scale

A 90-100

B 80-89

C 70-79

D 60-69

F 59 and lower

Note that the above numbers are percentages of the highest possible score in the course.

Attendance is mandatory in this class.

Homework will be given online via the Maple TA system. It is required that you complete all homework and write down all complete solutions, in addition to submitting it through the Maple TA computer system. Your written solutions to selected assignments will be collected and graded. You must complete each homework assignment within one week after we covered the sections involved. Late work will not be accepted.

Maple TA Links:
Class Home Page
Maple TA Tutorial
Maple TA FAQ
Homework policies

MLRC stands for the Mathematics Learning Resource Center located on the 4th floor of classroom building. There you can receive tutoring help, as well as Maple TA assistance. Use MLRC services as much as you can.

Recommended Learning Method:

Before we start any section, read it in the textbook. Keep a list of questions you encounter while studying.
When we cover this material in class, ask me any prepared or unprepared question and resolve any difficulty you might have had.
Start working on the assigned homework immediately after we covered the necessary topics. It is helpful to read the text again before doing your homework, and in case you cannot solve a problem. Use tutorial assistance at the MLRC. Of course, you should also come to my office hours if needed. Do not forget to write down a detailed solution of every problem.

Make-up Exams are given only in cases of serious illness or extreme emergency that prevents you from taking a test at the specified time. You have to contact me before the test and communicate all circumstances. Furthermore, you must appear in person, with supporting documents, to discuss the situation as soon as possible.

Calculator: You need a scientific calculator with trigonometric functions and their inverses for everyday study in this course. A graphing calculator is not required, but may be used at your preference. You can check out TI-83 or TI-83 Plus from the Department of Mathematics (MSCS 401) free of charge. However, no calculator is allowed on examinations.

University Syllabus Attachment: Contains drop deadlines and procedures, as well as many other important dates and university policies.

Detailed Schedule
Week Date Sec Page Topic

1 M, Jan 7 7.1 413 Inverse Functions

W, Jan 9 7.2 421 Exponential Functions and Their Derivatives

F, Jan 11 7.3 434 Logarithmic Functions

2 M, Jan 14 7.3 434 Logarithmic Functions

W, Jan 16 7.4 441 Derivatives of Logarithmic Functions

F, Jan 18 7.5 477 Inverse Trigonometric Functions

3 M, Jan 21 Martin Luther King Jr. Day

W, Jan 23 7.5 477 Inverse Trigonometric Functions

F, Jan 25 7.7 493 Indeterminate Forms and L'Hospital's Rule

4 M, Jan 28 7.7 493 Indeterminate Forms and L'Hospital's Rule

W, Jan 30 8.1 511 Integration by Parts

F, Feb 1 8.2 518 Trigonometric Integrals

5 M, Feb 4 8.3 525 Trigonometric Substitution

W, Feb 6 8.3 525 Trigonometric Substitution

F, Feb 8 8.4 532 Integration of Rational Functions by Partial Fractions

6 M, Feb 11 8.4 532 Integration of Rational Functions by Partial Fractions

W, Feb 13 8.5 541 Strategy for Integration

F, Feb 15 Review

7 M, Feb 18 Test 1

W, Feb 20 8.8 566 Improper Integrals

F, Feb 22 12.1 737 Sequences

8 M, Feb 25 12.2 749 Series

W, Feb 27 12.3 759 The Integral Test and Estimates of Sums

F, Feb 29 12.3 759 The Integral Test and Estimates of Sums

9 M, Mar 3 12.4 766 The Comparison Tests

W, Mar 5 12.4 766 The Comparison Tests

F, Mar 7 12.5 771 Alternating Series

10 M, Mar 10 12.6 776 Absolute Convergence and the Ratio and Root Tests

W, Mar 12 12.6 776 Absolute Convergence and the Ratio and Root Tests

F, Mar 14 12.8 785 Power Series

11 Mar 15-23 Spring Break

12 M, Mar 24 12.9 790 Representation of Functions as Power Series

W, Mar 26 12.9 790 Representation of Functions as Power Series

F, Mar 28 12.10 796 Taylor and Maclaurin Series

13 M, Mar 31 12.10 796 Taylor and Maclaurin Series

W, Apr 2 Review

F, Apr 4 Test 2

14 M, Apr 7 11.1 687 Curves Defined by Parametric Equations

W, Apr 9 11.2 696 Calculus with Parametric Curves

F, Apr 11 11.2 696 Calculus with Parametric Curves

15 M, Apr 14 11.3 705 Polar Coordinates

W, Apr 16 11.3 705 Polar Coordinates

F, Apr 18 11.4 715 Areas and Lengths in Polar Coordinates

16 M, Apr 21 11.5 720 Conic Sections

W, Apr 23 Final Review

F, Apr 25 Final Review

17 F, May 2 Final Exam (PS 355, 8-9:50 a.m.)

Week	Date	Sec	Page	Topic
1	M, Jan 7	7.1	413	Inverse Functions
	W, Jan 9	7.2	421	Exponential Functions and Their Derivatives
	F, Jan 11	7.3	434	Logarithmic Functions
2	M, Jan 14	7.3	434	Logarithmic Functions
	W, Jan 16	7.4	441	Derivatives of Logarithmic Functions
	F, Jan 18	7.5	477	Inverse Trigonometric Functions
3	M, Jan 21	Martin Luther King Jr. Day
	W, Jan 23	7.5	477	Inverse Trigonometric Functions
	F, Jan 25	7.7	493	Indeterminate Forms and L'Hospital's Rule
4	M, Jan 28	7.7	493	Indeterminate Forms and L'Hospital's Rule
	W, Jan 30	8.1	511	Integration by Parts
	F, Feb 1	8.2	518	Trigonometric Integrals
5	M, Feb 4	8.3	525	Trigonometric Substitution
	W, Feb 6	8.3	525	Trigonometric Substitution
	F, Feb 8	8.4	532	Integration of Rational Functions by Partial Fractions
6	M, Feb 11	8.4	532	Integration of Rational Functions by Partial Fractions
	W, Feb 13	8.5	541	Strategy for Integration
	F, Feb 15	Review
7	M, Feb 18	Test 1
	W, Feb 20	8.8	566	Improper Integrals
	F, Feb 22	12.1	737	Sequences
8	M, Feb 25	12.2	749	Series
	W, Feb 27	12.3	759	The Integral Test and Estimates of Sums
	F, Feb 29	12.3	759	The Integral Test and Estimates of Sums
9	M, Mar 3	12.4	766	The Comparison Tests
	W, Mar 5	12.4	766	The Comparison Tests
	F, Mar 7	12.5	771	Alternating Series
10	M, Mar 10	12.6	776	Absolute Convergence and the Ratio and Root Tests
	W, Mar 12	12.6	776	Absolute Convergence and the Ratio and Root Tests
	F, Mar 14	12.8	785	Power Series
11	Mar 15-23	Spring Break
12	M, Mar 24	12.9	790	Representation of Functions as Power Series
	W, Mar 26	12.9	790	Representation of Functions as Power Series
	F, Mar 28	12.10	796	Taylor and Maclaurin Series
13	M, Mar 31	12.10	796	Taylor and Maclaurin Series
	W, Apr 2	Review
	F, Apr 4	Test 2
14	M, Apr 7	11.1	687	Curves Defined by Parametric Equations
	W, Apr 9	11.2	696	Calculus with Parametric Curves
	F, Apr 11	11.2	696	Calculus with Parametric Curves
15	M, Apr 14	11.3	705	Polar Coordinates
	W, Apr 16	11.3	705	Polar Coordinates
	F, Apr 18	11.4	715	Areas and Lengths in Polar Coordinates
16	M, Apr 21	11.5	720	Conic Sections
	W, Apr 23	Final Review
	F, Apr 25	Final Review
17	F, May 2	Final Exam (PS 355, 8-9:50 a.m.)