Mathematics 62-140, Section 30,  Differential Calculus

Fall 2004


 

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

Class Begin: Thursday, September 9th, 2004.
Class end: Tuesday, December 7th, 2004.

Class Time:

Day

Time

Room

Tuesday

7:00-8:50

ER 3123

Thursday

7:00-8:50

ER 3123

Office Hours:

Tuesday 5:30--6:30 Thursday 5:30--6:30. 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.5

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

Section 4.10

Antiderivatives

Tests:

There will be four 50-minute tests  on September 28, October 14, November 4, and November 25. 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 34% 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 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 Thursday September 16. Further organizational details will be given in class. The tutorial attendance will count 6% 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 December11--23, 2004. 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 December 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:

NOVEMBER 10: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

Sept 9 Lecture 1
Sept 14 Lecture 2
Sept 16 Lecture 3
  Tutorial 1
Sept 21 Lecture 4
Sept 23 Lecture 5
  Tutorial 2
Sept 28 Lecture 6
  Test 1
Sept 30 Lecture 7
Oct 5 Lecture 8
Oct 7 Lecture 9
  Tutorial 3
Oct 12 Lecture 10
Oct 14 Lecture 11
  Test 2
Oct 19 Lecture 12
Oct 21 Lecture 13
  Tutorial 4
Oct 26 Lecture 14
Oct 28 Lecture 15
  Tutorial 5
Nov 2 Lecture 16
Nov 4 Lecture 17
  Test 3
Nov 9 Lecture 18
Nov 11 Lecture 19
  Tutorial 6
Nov 16 Lecture 20
Nov 18 Lecture 21
  Tutorial 7
Nov 23 Lecture 22
Nov 25 Lecture 23
  Test 4
Nov 30 Lecture 24
Dec 2 Lecture 25
  Tutorial 8
Dec 7 Lecture 26