Mathematics 132M-002 
Calculus II

Spring 2005

 Instructor: Jianqiang Zhao 
Office: SHA 110, Ext. 8438. 
Class Time: TR 3:00am-4:20pm  
Office hours: Tue. 1:00-3:00pm, Thur. 10:30-11:30am, 1:00pm-3:00pm, 4:30pm-6:00pm, and Fri. 10:30am-12:30pm, 1:30pm-3:00pm
 

Home Page

Index
Course Description Assignments
Time and Locations Texts
Homework Policy Exams
Grading Poliy Calendar

Time and Locations:

CLASSES TR 3:00am-4:20pm  
LOCATION: SHA 103.

Texts:

Calculus, 5th edition, by James Stewart.

Course Description:


This is the official sequence to Calculus I. If you have a fairly good understanding of the key concepts in Cal I then you should have little problem doing well in this course, provided you spend at least seven hours every week working on the math problems of this course. During this semester you should nurture a habit that might be quite different from that of your high school era. First of all, you should read the textbook very intensively, both after and BEFORE the lecture. Second, you should use my office hours as much as possible whenever you have questions. Last but not lest, you should value critical thinking more than special techniques in solving problems. Let me use a very simple example to explain the last point. If you need to find the the volume of some solid and your answer turns out to be -20 cubic feet. Can it be right?

There are quite a few technical skills in this part of mathematics. However, our emphasis is on the understanding of the concepts via critical thinking. The technical skills will only provide us the approaches.

Here is the outline of this course:

  1. Inverse Functions (Chapter 7)

  2. Techniques and Applications of Integration (Chapter 8 and 9)

  3. Differential Equations (Chapter 10).

  4. Parametric Equations and Polar Coordinates (Chapter 11).

  5. Infinite Series (Chapter 12).

Homework:

We will have weekly homework. I encourage you to work in groups but prepare your writing in your own words. No late homework will be accepted.
Assignments

Examinations:

There will be three exams during the semester.
 

Examination Schedule
Date of Exam Material Covered
Tuesday, Mar. 8 Up to 8.5 (inclusive)
Tuesday, Apr. 12 Sections 8.6 to 11.3
Tuesday, May 17 Chapters 6 to 12

It is expected that you will adhere to the code of academic integrity and that all work on examinations will be your own.

Grading Policy:

Your final grade in the course will be based on the following:

attendance & quizzes 10%, homework 25%, first midterm: 20%, second midterm: 20%, final exam: 25%.

Calendar - Math 131M, 2005 Spring:

Assignments:

Hand in only black ones. However, you should be able to do all the homework problems including the red ones in the brackets.


Week of Assignment
Feb. 1 6.2.4, 6.2.10, 6.3.4, 6.3.12; [6.2.5, 6.2.15, 6.3.7, 6.3.15];
Feb. 8 7.1.12, 7.1.20, 7.1.40, 7.2*.8, 7.2*.22, 7.3*.6, 7.3*.28, 7.3*.38, 7.4*.18, 7.4*.36, 7.4*.54; Chapter 1-7; 7.1.2, 7.1.13, 7.1.37, 7.2*.17, 7.2*.35, 7.2*.56, 7.3*.11, 7.3*.29, 7.3*.43, 7.4*.5, 7.4*.9, 7.4*.25.]
Feb. 15 7.5.6, 7.5.14, 7.5.44, 7.6.12, 7.6.23(a)(e); [7.5.13, 7.5.21, 7.5.55, 7.6.13, 7.6.35;]
Feb. 22 7.7.11, 7.7.19, 7.7.58; 8.1.12, 8.1.40, 8.1.64, 8.2.12, 8.2.30; [ 7.7.29, 7.7.50, 7.7.62; 8.1.7, 8.1.25, 8.1.57, 8.2.7, 8.2.15, 8.2.29;]
Mar. 1 8.3.12, 8.3.24, 8.3.28, 8.4.2, 8.4.22, 8.4.40, 8.5.6, 8.5.14, 8.5.34; [8.3.11, 8.3.23, 8.3.31, 8.4.9, 8.4.23, 8.4.49, 8.5.13, 8.5.21, 8.5.55;]
Mar. 8
First Midterm
Mar. 8 8.6.12, 8.6.22, 8.7.12, 8.7.34, 8.8.24, 8.8.26, 8.8.42; [8.6.13, 8.6.31, 8.7.20, 8.7.25, 8.7.33, 8.8.5, 8.8.37, 8.8.49;]
Mar. 15 9.1.2, 9.1.6, 9.1.16, 9.2.2, 9.2.8, 10.1.8, 10.1.12; [ 9.1.3, 9.1.13, 9.1.17, 9.2.9, 9.2.17, 9.2.29, 10.1.5, 10.1.11;]
Mar. 22 Spring Break. No classes.
Mar. 29 10.3.6, 10.3.12, 10.4.2, 10.4.4, 10.4.6, 10.5.2, 10.5.4, 10.5.8; [10.3.9, 10.3.17, 10.4.11, 10.4.13, 10.5.3, 10.5.5;]
Apr. 5 11.1.10, 11.1.18, 11.1.25-27, 11.2.20, 11.2.51, 11.3.10, 11.3.15, 11.3.29, 11.3.30; [11.1.24, 11.1.28, 11.2.23, 11.2.38, 11.3.54, 11.3.47, 11.3.60;]
Apr. 12
Second Midterm
Apr. 12 12.1.6, 12.1.30, 12.1.56, 12.2.6, 12.2.26, 12.2.44, 12.3.4, 12.3.18; [12.1.11, 12.1.33, 12.2.7, 12.2.37, 12.3.9, 12.3.23, 12.3.38;]
Apr. 19 12.4.4, 12.4.20, 12.4.34, 12.5.6, 12.5.16, 12.6.6, 12.6.8, 12.6.26; [12.4.13, 12.4.29, 12.4.37, 12.5.13, 12.5.33, 12.6.23, 12.6.30;]
May 3 12.7.8, 12.7.26, 12.7.36, 12.8.8, 12.8.20, 12.8.30(b), 12.9.12, 12.9.18, 12.9.28; [12.7.7, 12.7.17, 12.7.35, 12.8.11, 12.8.27, 12.8.33, 12.9.9, 12.9.25, 12.9.37;]
May 10 12.10.10, 12.10.26, 12.10.44, 12.11.10, 12.11.18; [12.10.11, 12.10.37, 12.11.7, 12.11.19;]
May 17
Final Exam (8:00 - 11:00 am)