Mathematics 62-101, Section 30,  Access to Calculus

Winter 2004


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

Class Begin: Tuesday, January 11, 2005
Class end: Friday, April 14, 2005

Class Time:

Day

Time

Room

Tuesday

7:00-8:50

DH361

Thursday

7:00-7:50

DH361

 Thursday (Tutorial) 8:00-8:50 DH361

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.

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:

 A variety of pre-calculus topics including coordinate geometry, trigonometric, exponential and logarithmic functions, and algebraic procedures. Introduction to differential calculus. (This course is intended for student who either lack Calculus from secondary school or have a weak grade in it. It satisfies the prerequisite or admission requirement of secondary school Calculus for all purposes.) (Admission by consent of the Department only. May not be taken for credit concurrently with, or subsequent to, 62-130 or 62-140.)(3 lecture hours, one hour tutorial per week.)

Textbook:  (Required)  “Calculus A First Course”, James Stewart.

If you want to review OAC Calculus, please go to library to read reserved book: 830 Worked Examples in OAC Calculus.

Topics List: 

PART A: Pre--calculus Topics

• Simplifying polynomial and rational expressions.
• Factoring, the factor theorem, rationalizing expressions.
• Laws of exponents.
• Solving equations and inequations.
• Relations and functions, domain and range, composition of functions.
• Linear relations, x & y intercepts.
• Solving system of equations.
• Plane geometry: classifying angles and triangles, terms, relationships and theorems.
• Perimeter, area and volume, working with formulas.
• The trigonometric ratios functions and their graphs, compound angle formulas and identities, solving trigonometric equations.
• Logarithmic and exponential functions and their graphs, law of   logarithms.  

PART B: Introduction to Calculus

• Limits, average versus instantaneous rate of change.
• The “Derivative”, rules for differentiation.
• Differentiating non-algebraic functions.
• Curve sketching, optimization and other applications.

The following sections from our text will be covered: 1.1, 1.2, 1.3, 1.4, 1.5, all of chapter 2, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4, 5.3, 5.4, 5.5, 6.1, 6.2, 6.3, 6.4,6.5, 7.1, 7.2, 7.3, 7.4 (time permitting), all of chapter 8.

Tests:

There will be TWO 50-minutes tests in the tutorial hours on February 3 and March 24. You are expected to take all the tests. There are no supplement or make up tests. If a test is missed for a legitimate reason (with valid written proof) its weight will be added to the weight of the final exam. The two tests will count for 30% 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 TEN 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 NOT be handed in. The tutorial attendance will count 8% of your final mark. Tutorials start on Thursday 13. Further organizational details will be given in class.

Assignments:

There will be TWO big assignments. You are  expected to hand in  them all.  The two assignments will count 32% of your final mark. A mark of zero will be given to assignments not submitted on the due date.

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 on APRIL 20, 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 11 Lecture 1
Jan 13 Lecture 2

Tutorial 1
Jan 18 Lecture 3
Jan 20 Lecture 4

Tutorial 2
Jan 25 Lecture 5
Jan 27 Lecture 6

Tutorial 3
Feb 1 Lecture 7
  Assignment 1 Due
Feb 3 Lecture 8

Test 1
Feb 8 Lecture 9
Feb 10 Lecture 10

Tutorial 4
Feb 15 Lecture 11
Feb 17 Lecture 12

Tutorial 5
Feb 22 Lecture 13
Feb 24 Lecture 14

Tutorial 6
Mar 8 Lecture 15
Mar 10 Lecture 16

Tutorial 7
Mar 15 Lecture 17
Mar 17 Lecture 18

Tutorial 8
Mar 22 Lecture 19
  Assignment 2 Due
Mar 24 Lecture 20

Test 2
Mar 29 Lecture 21
Mar 31 Lecture 22

Tutorial 9
Apr 5 Lecture 23
Apr 7 Lecture 24

Tutorial 10
Apr 12 Lecture 25
Apr 14 Lecture 26