Fundamental Mathematics II Winter 2004 
Instructor:Dr. Ming Mei
Office/Tel No.:LB 5411 / 8482424 ext. 3236
Email:mei@mathstat.concordia.ca
Course Website:http://www.math.mcgill.ca/~mei/teaching.html
Office Hours:Friday 14:0015:00
Course Examiner:
Credit: Math 209 (Fundamental Mathematics II) is a 3credit course, primarily for precommerce students. PLEASE NOTE: May NOT be credited towards any university degree, if university credit for Math 203 or any course equivalent to Math 203 or 209 has already been granted.
Caution: If you have not had the prerequisite courses, you are taking this course at your own risk.
Text: Applied Calculus for Business, Economics, Life Sciences, and Social Sciences(8th edition)  Barnett, Ziegler & Byleen
Math Help Centre: It has been organized to help students in solving problems. The schedule of its operation and its location will be posted in the Department.
Assignments: Assignments reflect the level of difficulty of the final examination. All the solutions to the assigned problems below are available at the Copy Centre in the Hall building on the SGW campus.
Tests: Two 1hour tests worth 20% each. Missed tests cannot be made up
Final Exam: 3 hours, covering the entire course.
Final Grade: The higher of either:
(a) the weighted average of the two tests (40%) and the final (60%)
or
(b) the final.

Section  Topics  Assignments 

3.1
3.2

Introduction
to Limits
Limits and Continuity

p. 145: 3,
6, 7, 10, 16, 19, 34, 44, 45, 46, 48, 54, 56,
58, 64, 67, 68. p. 161: 17, 18, 29, 20, 24, 27, 28. p. 177: 2,4,8,10,17,18,19,22,23,24,25,26,27,28,29,30. 

3.3
3.4 
The Derivative
Derivatives of Constants, Power Forms, and Sums 
p. 177: 31,
32, 55, 56, 58.
p. 190: 8, 10, 25, 28, 35, 38, 41, 44, 45, 46, 47, 48, 51, 52, 58, 59,60, 65, 69, 70, 71, 72, 78, 82,84. 

3.5
3.6 3.7

Derivative of Products and Quotients
Chain Rule: Power Form Marginal Analysis in Business and Economics 
p. 199: 20, 22, 24, 33, 37, 38, 40, 42,44, 45,
48, 52, 55,
56, 66, 68. p. 207: 4, 6, 14, 20, 26, 28, 30, 36, 41, 44, 48, 50, 54, 66, 67, 68, 69, 74, 76, 78, 79. p. 218: 2, 3, 5, 8, 10, 12, 15, 16. 

4.2
4.3 
First Derivative and Graphs
Second Derivative and Graphs 
p. 242: 18, 28, 34, 68, 70, 72, 79.
p. 258: 23, 28, 35, 37. 

4.3

Second Derivative and Graphs
CLASS TEST I 
p. 258: 57, 60, 84, 85.


4.4
4.5

CurveSketching Techniques Unified and Extended
Optimization; Absolute Maxima and Minima 
p. 275: 38, 39, 42, 63, 66, 68, 81, 86, 88.
p. 292: 14, 16, 18, 24, 25, 31, 32, 38, 41, 42,
44, 46,


2.2
2.3 5.1 
Exponential Functions (quick review)
Logarithmic Functions (quick review) The Constant e and Continuous Compound Interest 
p. 107: 11, 14, 16, 18, 20, 34, 62, 64, 66, 68,
70, 72.
p. 119: 8, 9, 12, 26, 27, 29, 30, 32, 40, 44, 48, 54, 96, 98. p. 309: 7, 10, 20, 21, 26, 28, 31. 

5.2
5.3 
Derivatives of Logarithmic and Exponential Functions
Chain Rule: General Form 
p. 318: 18, 19, 23, 28, 42, 44, 63, 68, 70 .
p. 330: 29, 34, 38, 42, 44, 46, 49, 64, 66, 68, 70, 78, 83, 86. 

5.4
5.5 
Implicit Differentiation
Related Rates CLASS TEST II 
p. 338: 12, 16, 20, 22, 28, 30, 34, 38, 39, 44,
45.
p. 344: 2, 4, 6, 8, 10, 26, 28, 30 . 

6.1
6.2

Antiderivatives and Indefinite Integrals
Integration by Substitution 
p. 362: 52, 54, 55, 66, 68, 75, 76, 78, 82, 86,
88, 93, 94 96, 98, 100,
101. p. 375: 24, 32, 34, 36, 37, 54, 55, 56, 58, 60, 63, 64, 68, 70, 71, 72, 74. 

6.3
6.5

Differential Equations  Growth and Decay
Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus 
p. 385: 4, 6, 8, 16, 18, 19, 42, 44, 47.
p. 418: 12, 16, 18, 20, 28, 30, 32, 34, 36, 39,
42, 43, 44, 46, 48, 50, 52.


6.5
7.1 
Definite Integral as a Limit of a Sum; Fundamental
Theorem of Calculus
Area between Curves 
p. 418: 64, 66, 68, 77, 78, 79, 80, 84, 86, 92,
94, 96.
p. 442: 36, 40, 42, 50, 52, 54, 56, 58, 60, 66, 68, 69, 71, 72. 

REVIEW 


