*Extension: For students looking for more calculus work, the suggested online resources are from the University of Waterloo's CEMC (Centre for Education in Mathematics and Computing) Courseware, UBC, and SFU.
​
https://courseware.cemc.uwaterloo.ca/11
​
The units are presented in an interactive manner and can be used to review topics that have been covered as well as learn new material.
​
https://personal.math.ubc.ca/~CLP/
​
https://www.sfu.ca/math-coursenotes/Math%20157%20Course%20Notes/frontmatter-1.html
​
https://www.sfu.ca/math-coursenotes/Math%20158%20Course%20Notes/frontmatter-1.html
​
​
Unit 6: Derivatives of Trigonometric Functions
Suggested Practice Questions
​
Section 7-1 (Page 306): # 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27,
29 (hint: use one of the Corelated Angle Identities from page 282), 31, 33, 35, 37
​
Section 7-2 (Page 313): # 1 bdfhjlnprt, 2 bdf, 3 c, 5 a
​
Section 7-3 (Page 319): # 1 acegimo, 2 ac, 3 a
​
Section 7-4 (Page 325): # 3, 5
Review (Page 340): # 1 acegi, 2 acegi, 3 ace, 4, 5, 6, 11 {answer to 3c is y'=[sec^2(x+y)]/[1-sec^2(x+y)] }
​​​
​
Unit 5: Curve Sketching (Curve Analysis)
Suggested Practice Questions
​
Section 5-1 (Page 212): # 1, 2, 3f
Section 5-2 (Page 222): # 1, 2 bdfh, 3d, 7
​
Section 5-3 (Page 229): # 2 acegik (for k distribute before determining derivatives), 3 iv (abcd)
​
Section 5-5 (Page 240): # 3, 4, 5, 6, 8
***textbook refers to even/odd/neither as symmetry, "about the y-axis" means even and "about the origin" means odd
​
Section 5-6 (Page 244): # 1
​
Review (Page 245): # 1 df, 2c, 3 c
(Page 247): # 3 [correct answer should be CD on (- infinity, -1) and (-1, 2), and CU on (2, infinity)], 4abcd
​
Unit 4: Extreme Values and Optimization Problems
Suggested Practice Questions
​
Section 4-1 (Page 170): # 3 abcd, 4 abceg
​
Section 4-2 (Page 177): # 3 aceik, 4 egi
​
Section 4-3 (Page 182): # 1 ac, 3 ac, 4
​
Section 4-4 (Page 189): # 5, 6, 8, 10 (use the distance formula)
Review Part 1 (Page 196): # 1 (omit c), 2, 3 abc, 5, 6
Review Part 2 (Page 199): # 1, 2 (textbook has error, absolute minimum should be -31/27), 3, 4
​​
​
Unit 3: The Derivative Part Two
Suggested Practice Questions
​
Section 2-5 (Page 95): # 1 ace, 2 bdf (no need to determine domains), 3b, 6 [answer should be (0,0) and (-5, -5)], 7
​
Section 2-6 (Page 102): # 1 acegik, 6 ace, 8, 9
​
Section 2-7 (Page 107): # 1 ef, 2 cd, 3 cd, 5a, 7b, 9
​
Section 2-8 (Page 111): # 1 ace, 2a, 4, 7ab, 8 [Hint. Start with the standard form (not vertex form) of a quadratic function.]
Review (Page 112): # 4 fghijkl, 7 abc, 9 def
(Page 115): # 2 bc, 3, 4
​
​
Unit 2: The Derivative Part One
Suggested Practice Questions
Section 2-1 (Page 76): # 10, 11 (no need to determine domains), 12 cd [for these questions you can replace dy/dx with f '(x)]
​
Section 2-2 (Page 83): # 1 fghij, 2, 3 ace, 4, 7, 8, 9
​
Section 2-3 (Page 88): # 1 ace, 2 ac (no need to determine domains), 3 ac, 6, 7, 9
​
Section 2-4 (Page 92): # 2 aceg, 3 ace, 4, 5, 6 [ (fg)'(2) means the derivative of {f(x)}{(g(x)} evaluated at x =2 ]
Review (Page 112): # 1, 3, 4 abcde, 9 abc, 11, 12, 13
​
Unit 1: Limits and Tangent Lines
Suggested Practice Questions
Section 1-1 (Page 9): # 7 a(v) bc, 8 a(iv) bc, 9 a(v) bc, 10 a(viii) bc, 12
​
Section 1-2 (Page 19): # 4, 5, 6 abcdef
​
Section 1-3 (Page 28): # 5, 6, 7, 9ab
​
Section 1-4 (Page 35): # 7a (i to v), 8
​​
​​​
​