Mathematics 62-140, Section 01,  Differential Calculus

Winter 2005


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

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

Class Time:

Day

Time

Room

Monday

8:30-9:50

BB121

Wednesday

8:30-9:50

BB121

Friday

8:30-9:20 TC200

Office Hours:

Tuesday 3:00--4:00 Thursday 4:00--5:00 (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:

Trigonometric functions and identities. Inverse trigonometric functions. Limits and continuity. Derivatives and applications. Mean Value Theorem. Indeterminate forms and l'Hopital's Rule. Antiderivatives. Introduction to definite integrals. Prerequisite: Ontario OAC Calculus, or Grade 12 Advanced Functions and Introductory Calculus, or 62-101(Access to Calculus), Is prerequisite.  (3 lecture hours, 1 tutorial hour a week.)

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

Topics List:

Review from OAC Calculus, Grade 12 Advance Functions and Introductory Calculus, and earlier.

Appendix A 

Intervals, inequalities and Absolute Values

Appendix B

Coordinate Geometry and Lines

Appendix C

Graph of Second-Degree Equations

Appendix D

Trigonometry

Some review and some new material.

Chapter 1  

Functions and Models (Omit section #1.4)

Chapter 2

Limits and Derivatives (Omit section 2.4)

Chapter 3

Differentiation rules--Section 1,2,3,4,5,7,8

Chapter 4

Applications of Differentiation--Section 1,3,5,7

New material to be covered in the course.

Chapter 3 

Section 3.6

Implicit Differentiation

Section 3.9

Hyperbolic Functions

Section 3.10

Related Rates

Section 3.11

Linear Approximation and Differentials

Chapter 4

Section 4.2

The Mean Value Theorem

Section 4.4

Indeterminate Forms and I’Hopital’s Rule

Section 4.9

Newton’s Method (Optional)

Section 4.10

Antiderivatives

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 can 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  Junuary 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 Tutorial 1
Jan 17 Lecture 3
Jan 19 Lecture 4
Jan 21
Tutorial 2
Jan 24
Lecture 5
Jan 26
Lecture 6
Jan 28 Test 1
Jan 31
Lecture 7
Feb 2
Lecture 8
Feb 4
Tutorial 3
Feb 7
Lecture 9
Feb 9
Lecture 10
Feb 11
Tutorial 4
Feb 14 Lecture 11
Feb 16 Lecture 12
Feb 18 Test 2
Feb 21
Lecture 13
Feb 23
Lecture 14
Feb 25
Tutorial 5
Mar 7
Lecture 15
Mar 9
Lecture 16
Mar 11
Test 3
Mar 14 Lecture 17
Mar 16 Lecture 18
Mar 18 Tutorial 6
Mar 21
Lecture 19
Mar 23
Lecture 20
Mar 28
Lecture 21
Mar 30
Lecture 22
Apr 1
Test 4
Apr 4
Lecture 23
Apr 6
Lecture 24
Apr 8
Tutorial 7
Apr 11
Lecture 25
Apr 13
Lecture 26
Apr 15
Tutorial 8