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:
Tutorial Work (Best 6 out of 8): 10%
Tests (Best 3 out of 4): 40%
Final Examination: 50%
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