The Department of MATHEMATICS & STATISTICS Concordia University

 MATH 209 Fundamental Mathematics II Winter 2004

Instructor:Dr. Ming Mei

Office/Tel No.:LB 541-1 / 848-2424 ext. 3236

Email:mei@mathstat.concordia.ca

Course Website:http://www.math.mcgill.ca/~mei/teaching.html

Office Hours:Friday 14:00-15:00

Course Examiner:

Credit:  Math 209 (Fundamental Mathematics II) is a 3-credit course, primarily for pre-commerce 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 pre-requisite 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 1-hour 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.
 Week Section Topics Assignments 1 3.1 3.2 3.3 Introduction to Limits Limits and Continuity The Derivative 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. 2 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 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 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. 5 4.3 Second Derivative and Graphs  CLASS TEST I p. 258: 57, 60, 84, 85. 6 4.4 4.5 Curve-Sketching 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,       47, 49, 50, 51, 52. 7 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. 8 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. 9 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 . 10 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. 11 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. 12 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. 13 REVIEW