Math 100 Section 91D Homework Exercises

Winter 2001
 Lect 
    #		  Date §  Topic  Page  Exercices
 0.-  2 Jan    Introduction    
 1.-  2 Jan  1.1  Functions (Def, Graphs) p. 9  17, 21, 23 , 26 , 29, 36, 38
    1.2  Linear functions p. 21  2, 3, 6, 8, 9 , 74 , 77
 2.-  4 Jan 1.3  Non-linear functions    
 3.-  4 Jan 1.3 Ploynomials and rational fns p. 31  2, 5, 12, 14, 15
 4.-  8 Jan   Review    
 5.-  8 Jan 1.4 Non-algebraic functions p. 42  2, 3, 8, 12, 16, 19
 6. -  11 Jan 2.2  The limit concept p. 74  2, 6, 12, 20, 26, 29, 36
 7.-  11 Jan 2.3  More about limits p. 85  2, 7, 11, 20, 29, 46, 56, 57
 8.-   16 Jan    Quiz #1    
 9.-   16 Jan 2.4  The concept of Continuity  p. 94  2, 7, 11, 18, 26, 32, 44, 52
10.-  18 Jan 3.1   The Derivative and Rates of Change  p. 111   15, 17, 18, 20, 32, 33, 44
11.-  18 Jan 3.2   Basic Differentiation Rules  p. 122  12, 14, 18, 26, 38,  42, 47, 50
12.-  23 Jan 3.3   The Chain Rule  p. 132  3, 10, 14, 26, 30, 32, 42, 52, 54, 58
13.-  23 Jan 3.4  Derivatives of Algebraic functions  p. 138  5, 6, 10, 26, 30, 32, 46, 48, 56
14.-  25 Jan    Chain Rule Applications    
15.-   25 Jan    Differntiability vs. Continuity    
16.-   30 Jan    Quiz #2    
17.-  30 Jan 3.5  Maxima and Minima  p. 147   6, 8, 20, 24, 29, 32, 38, 50, 51
18.-   1 Feb 3.6  Max and Min Applied Problems  p. 158  2, 8, 16, 18, 22, 46, 52
19.-   1 Feb 4.3  The Mean Value Theorem  p. 230  2, 3, 6, 8, 14, 15, 28, 30, 36, 58
 20.-   6 Feb    Quiz #2 review    
 21.-   6 Feb  4.4  First Derivative Test  p. 240  3, 4, 6, 8, 11, 12, 30, 38, 40, 48
 22.-  8 Feb    Open Interval Applied Min/Max    Problems    
 23.-   8 Feb   4.5  Simple Curve Sketching  p. 249  2, 3, 6, 8, 20, 24, 25, 26, 38, 47
 24&25.-  13 Feb    Midterm General Review    
 26&27.-   15 Feb     Midterm 1     
 28.-  27 Feb  3.7  Derivatives of Trigonometric Functions  p. 170  6, 12, 22, 34, 36, 46, 56, 78, 86
 29.-   27 Feb  3.8  Derivatives of Exp and Log Functions  p. 184  2, 8, 26, 36, 46, 58
 30.-  1 Mar  4.6  Second Order Deriv & Concavity  p. 262  6, 26, 28, 34, 40, 42
 31.-  1 Mar   4.7  Curve sketching & Asymptotes   p. 275  10, 12, 26, 36, 52
 32.-  6 Mar    Quiz #3    
 33.-   6 Mar  3.9   Implicit Differentiation and Related  Rates  p. 192  6, 26, 28, 36, 46, 50, 56
 34.-   8 Mar   4.2  Linear Approximations and Differentials  p. 221  4, 10, 26, 31, 42, 46, 51
 35.-   8 Mar   3.10   Newton's Method  p. 205  12, 18, 28, 38
 36.-  13 Mar  7.2  The Natural Logarithm  p. 442  4, 14, 26, 32, 52, 64
 37.-  13 Mar  7.3  The Exponential Function  p. 450  8, 16, 30, 56, 60
 38&39.-  15 Mar   7.4  General Exp and Log Functions  p. 457  6, 18, 24, 38, 44, 48 
 40&41.-  20 Mar     Midterm 2    
 42.-  22 Mar  7.5  Natural Growth and Decay  p. 466  4, 8, 10, 12, 18
 43.-  22 Mar  7.6  Linear First Order Ordinary Differential Equations  p. 473  4, 8, 16, 20
 44&45.-  Mar 27  8.2  Derivbatives of Inverse Trig Functions  p. 486  8, 14, 16, 22, 28, 30, 66, 70
 46.-  Mar 29  11.4  Taylor Polynomials & Taylor Series  p. 659  1, 5, 6, 8, 21, 27, 28, 33, 37
 47.-   Mar 29  11.9  Indeterminate limits  p. 702  23, 24, 25, 26, 27, 28
 48-51.-  Apr 3 & 5    Review for the FINAL    
   April 11  3:30pm  FINAL EXAM (2.5 hrs)  Room:   OSBO A

Answers for these exercises are available at: http://www.pims.math.ca/~alex/M100/hwsolns.html