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
11:30-12:20ER3123
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
FractionsSection 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:
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 | 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 |