top of page

*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 8: Antiderivatives and Integrals

Suggested Practice Questions

Section 9-1 (Page 408): # 2, 3 cd, 4 bd, 5 ac, 6 bd

Section 9-2 (Page 411): # 1 c, 2 cd, 3 ac, 4

Section 11-2 (Page 505): # 1, 2 (indefinite integrals are the same as general antiderivatives)

Section 11-3 (Page 511): # 3 acegikmoq, 4 aceg

Section 11-4 (Page 515): # 1 abdfh, 2 bc, 4, 6

Section 11-5 (Page 519): # 1 abd, 5, 2a [using the substitution x = sin(theta) will result in the same integral as question 1b], 1f [use identities to prove that (sinx)^4 is the same as 3/8-cos(2x)/2+cos(4x)/8 before solving the integral]

Review Part 1 (Page 438): # 1 ac, 2 ac, 3 ac

Review Part 2 (Page 533): # 3 abcdefghij, 4 abcd

Review Part 3 (Page 535): # 2 abcd, 3 ac

Unit 7: Derivatives of Exponential and Logarithmic Functions

Suggested Practice Questions

Section 8-1 (Page 362): # 5 defghij, 8

Section 8-2 (Page 366): # 4 to 10

Section 8-4 (Page 383): # 1 a to h, 3, 4, 5bc, 6, 7, 8

Section 8-5 (Page 390) # 1, 4, 8, 13

Section 8-6 (Page 395): # 1 ace, 2, 3

Review (Page 396): # 2 def, 7, 8, 9, 10

                   (Page 399): # 7c, 8

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

Review (Page 340): # 1 acegi, 2 acegi, 3 abde, 4, 5, 6

                  (Page 343): # 6

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 part "k" distribute before determining derivatives), 3 iv (abcd)​

Section 5-6 (Page 244): # 1

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

Review (Page 245): # 1 df, 2c, 3 c

                  (Page 247): # 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 (for part "a" distribute before determining derivative), 4

Review Part 1 (Page 196): # 1 (omit c), 2, 3 abc, 5

Review Part 2 (Page 199): # 1, 2 (textbook has error, absolute minimum should be  -31/27), 3

Section 4-4 (Page 189): # 5, 6, 8, 10 (use the distance formula)

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 [the right side of the equation should be 6 instead of 3]

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

 

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

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

​​​

bottom of page