Mathematics 62-141, Section 05,  Integral Calculus

Winter 2005



Professor: Dr. Xueqing Chen
Office: . LT 9116
Phone: 519-253-3000 ext 3021. 
Email:  chenxq@uwindsor.ca

Class Begin: Monday, January 10th, 2005
Class end: Friday, April 15th, 2005

Class Time:

Day

Time

Room

Monday

11:30-12:20

ER3123

Wednesday

11:30-12:20

ER3123

Friday

10:30-11:20
11:30-12:20
ER3123

Office Hours:

Tuesday 4:00--5:00 Thursday 2:00--3:00 (or by appointment). I am also available immediately after class for questions. Feel free to send me email if you cannot make these times to set up another time.

Course Homepage:

Updated information,  such as course news, tutorial questions and solutions, test information, will be available from the course homepage,  http://web2.uwindsor.ca/math/chenxq/index.htm

Course Description and Prerequisites:

Antiderivatives. The definite integral and Fundamental Theorem. Techniques of integration. Applications of the definite integral. Approximate integration. Improper integrals. Separable differential equations. Polar and parametric coordinates. (Prerequisite: 62-140) (3 lecture hours, 1 tutorial hour a week.)

Textbook:  (Required)  Calculus, Early Transcendentals”, 5th Edition. James Stewart.

Topics List:

Review from 62140.

New material to be covered in the course.

Chapter 4

Section 4.10

Antiderivatives

Chapter 5

  Section 5.1   Areas and Distances

Section 5.2

The Definite Integral

Section 5.3

The Fundamental Theorem of Calculus

Section 5.4

Indefinite Integrals and the Net Change Theorem

Section 5.5

The Substitution Rule

Chapter 6
  Section 6.1    Areas Between Curves
  Section 6.2    Volumes
  Section 6.3    Volumes by Cylindrical Shells
Chapter 7
  Section 7.1    Integration by Parts
  Section 7.2    Trigonometric Integrals
  Section 7.3    Trigonometric Substitution
  Section 7.4    Integration of Rational Functions by Partial  
   Fractions
  Section 7.5    Strategy for Integration
Chapter 8
  Section 8.1   Arc Length
  Section 8.2   Area of a Surface of Revolution
Chapter 9
  Section 9.3   Separable Equations
  Section 9.6   Linear Equations
Chapter 10
  Section 10.1   Curves Defined by Parametric Equations
  Section 10.2   Calculus with Parametric Curves
  Section 10.3   Polar Coordinates
  Section 10.5   Conic Sections

Tests:

There will be FOUR 50-minutes tests  on January 28, February 18, March 11, and April 1. You are expected to take all the tests. No make up, early or delayed tests. Any missing test will be counted as zero. The average of best three tests out of four tests will count for 40% of your final mark. It is your responsibility to pick up your tests in the following tutorial hours. You must bring your student card to each test and place it on the desk where it is visible.

Tutorial Attendance:

There will be EIGHT tutorials that you need to attend. You are  expected to attend them all. You will be requested to work either independently or in teams of 3--4 students on sets of problems handed out to you. Tutorial work will be handed in at the end of the tutorial hour for grading. The best 6 tutorial marks will be counted in the term mark. Tutorials start on  Friday  January 14. Further organizational details will be given in class. The tutorial attendance will count 10% of your final mark.

Homework:

Selected exercises, mainly from the text, will be assigned in class. These exercises are not to be handed in and will not be graded. However, to succeed in the course it is absolutely essential that you do the exercises on a regular basis.

Final Examination:

This is a three hour exam scheduled by the University and will take place sometime during the examination period April 18-30, 2005. It is the responsibility of each student to be available at the time of the examination. In particular, no travel plans for the examination period in April should be made until the examination schedule is published.

Course Work Evaluation: 

Calculators:

You may use a non-programmable calculator for the tests and the final examination in this course. I reserve the right to disallow any calculator.

Withdrawal:

March 18: Last day to withdraw voluntarily from courses. After this date students remain registered in courses and receive final grades as appropriate.

Grading Scheme:

A+

A

A-

B+

B

B-

C+

93-100

86-92.9

80-85.9

77-79.9

73-76.9

70-72.9

67-69.9

C

C-

D+

D

D-

F

F-

63-66.9

60-62.9

57-59.9

53-56.9

50-52.9

35-49.9

0-34.9

Course Schedule:

Date

Lecture and Tutorial

Jan 10 Lecture 1
Jan 12 Lecture 2
Jan 14 Lecture 3
  Tutorial 1
Jan 17 Lecture 4
Jan 19 Lecture 5
Jan 21 Lecture 6

Tutorial 2
Jan 24 Lecture 7
Jan 26 Lecture 8
Jan 28 Lecture 9

Test 1
Jan 31 Lecture 10
Feb 2 Lecture 11
Feb 4 Lecture 12

Tutorial 3
Feb 7 Lecture 13
Feb 9 Lecture 14
Feb 11 Lecture 15

Tutorial 4
Feb 14 Lecture 16
Feb 16 Lecture 17
Feb 18 Lecture 18

Test 2
Feb 21 Lecture 19
Feb 23 Lecture 20
Feb 25 Lecture 21

Tutorial 5
Mar 7 Lecture 22
Mar 9 Lecture 23
Mar 11 Lecture 24

Test 3
Mar 14 Lecture 25
Mar 16 Lecture 26
Mar 18 Lecture 27

Tutorial 6
Mar 21 Lecture 28
Mar 23 Lecture 29
Mar 28 Lecture 30
Mar 30 Lecture 31
Apr 1 Lecture 32

Test 4
Apr 4 Lecture 33
Apr 6 Lecture 34
Apr 8 Lecture 35

Tutorial 7
Apr 11 Lecture 36
Apr 13 Lecture 37
Apr 15 Lecture 38

Tutorial 8