Calculus 12
Teacher:
Email:
Textbook:
Ms. K Reed
kreed@vsb.bc.ca
Calculus: A First Course
This course is intended for those students who want an introduction to University Calculus.
The course is designed for students who have completed or are currently enrolled in Principles of
Mathematics 12 course.
Over the next 10 months, we will explore topics fundamental to Calculus such as Limits,
Derivatives, Extreme Values, Logarithmic Functions and Integrals. The intent of this course is
to cover key topics for students to be ready for first year University Calculus and/or to write the
UBC/SFU/UNBC/UVIC Calculus Challenge Exam in June.
Expectations:
Students are expected to have a gook attendance record and come to class prepared with
notebooks, calculators, pens/pencils and textbooks. It is crucial that students complete all
assigned homework in order to experience success in this course.
Marks (Approximate):
Tests:
65%
Quizzes:
25%
Assignments: 10%
All three terms will be weighed equally.
Chapters and Homework
Calculus 12
Section
Review/Preview CH 1
Assignment
Pg. 3 #1aceg, 2aceg, 3ace, 4ade,
Pg. 4 #1ab, 2ab
1.1 Lin Func and
Tang. Problem
Pg 9 #1 to 4, 6 to 8
1.2 Limits
Pg. 19 #1, 3 to 6, 9b
1.3 One-Sided Limits
1.4 Limits finding
Tangs
Pg. 27 #1 to 7, 9, 10ac, 11
Pg. 35 #1, 6, 7i,iii,v, 8ac
1.5 Velocity
Pg. 43 #1a i,iii,b 3, 5ab, 9ai,bcde
1.6 Infinite
Sequences
Pg. 50 #1, 3, 4(GC), 6(GC)
1.8 Review
Pg. 58 #1, 3 to 6, 8, 10, 12
1.9 Test
2.1 Derivatives
Pg. 61 # 1 to 5
Pg. 75 #1 to 5, 8ac, 10ac, 11ac, 12
ac, 13
2.2 and 2.3 Power
Rule
Pg. 83 #1 to 4, 7
Pg. 88 #1, 3 to 7
2.4 Product Rule
Pg. 92 # 1aceg, 2aceg, 3ace, 5, 6
2.5 Quotient Rule
Pg. 95 #1ace…, 3 to 6
2.6 Chain Rule
Pg. 102 #1 ace…, 6 to 9
2.7 Implicit Diff.
Pg. 107 #1 to 3, 5, 7, 9
2.8 Higher Derivatives
2.9 Review
2.10 Test
Pg. 111 #1 to 7
Pg. 112 #1, 3, 4, 6 to 12, 14
Pg. 115 #4, 5
3.1 Velocity
Pg. 125 #2, 3, 5, 7, 8, 9
3.2 Acceleration
Pg. 128 #1, 3, 4, 6 to 9
3.5 Related Rates
3.7 Review
3.8 Test
Pg. 145 #1 to 7, 9 to 12, 14, 15
Pg. 154 #1 to 3, 8, 10
Pg. 156 #1, 3
4.1 Incr/Decreasing
Pg. 170 #2ace, 3ac, 4 aceg.
4.2 Max/Min Values
Pg. 176 #1, 3ace…, 4ace…, 5 to 7
4.3 First Derivative
Test
Pg. 182 #1ac, 2ace…, 3ac, 4ac, 6
4.4 Applied Max/Min
Pg. 188 #1, 3, 5, 7, 8, 10, 12, 13,
14, 16, 19, 20
4.6 Review
Pg. 196 #1 to 6, 8
4.7 Test
Pg. 199 #1 to 4, 6
5.1 Vertical
Asymptotes
Pg. 212 #1b, 2ace…, 3bdfh, 4
5.2 Horizontal
Asymptotes
Pg. 222 #2ace…, 3 to 5, 8 to 10
5.3 Concavity
Pg. 229 #2ace…, 3, 4, 6, 7
5.4 Second Deriv.
Test
Pg. 232 #1ace…, 2ace, 3ac.
5.5 Curve Sketching
Pg. 240 #1 to 11 ODD
5.7 Review
Pg. 245 #1 to 7
5.8 Test
Pg. 247 #1 to 5
6.2 Add/Subt.
Formulas
Pg. 273 #1aceg, 2a, 3a, 10aceg,
18a
6.3 Double Angle
Formulas
Pg. 279 #2aceg, 3 to 6, 14, 15, 16
6.4 Trigonometric
Identities
Pg. 285 2 from 1 to 9, 2 from 10
to 18, 2 from 26 to 36, 4 from 37 to
56.
Pg. 291 #1a, 2ace, 3acef, 4ace, 5,
8
6.5 Solving
Trigonometric
Equations
Review
Pg. 293 #8, 9,
Pg. 295 #2, 3, 4
7.1 Limits of Trig Fnc
Pg. 306 #7, 8, 9, 11 to 20, 22, 26,
27, 32, 33, 34, 38, 43, 44
7.2 Derivatives of
Trig. Fnc.
Pg. 313 # 1 ace…, 2ace, 3ace, 4a,
5a, 10, 11ab.
7.3 Derivatives of
Other Trig. Fnc.
Pg. 319 #1 ace…,2ace, 3b, 4, 7
7.4 Applications
7.6 Derivatives of
Inverse Trig. Fnc
7.7 Review
Pg. 325 #1a, 2a, 7, 9, 11, 12, 14,
18
Pg. 339 #1ace…, 2 to 6
Pg. 340 #1 (omit i), 2 to 6, 9, 17, 19
7.8 Test
Pg. 343 #1 to 3, 5 to 7.
8.1 Exponential Fncs
Pg. 361 #4ace…, 5ace…
8.2 Derivatives of
Exp. Fncs
8.3 Logarithmic Fncs
Pg. 367 #4ace…, 5 to 9, 11,
Pg. 375 #4aceg, 5, 6, 9, 10ac, 14,
17, 18
8.4 Derivatives of
Logs
8.5 Growth and
Decay
8.6 Logarithmic Diff.
8.7 Review
8.8 Test
10.1 Area
10.2 Area Between
Curves
11.2 Fundamental
Thm. Of Calculus
11.3 Substitution
Rule
11.4 Integration by
Parts
Pg. 383 #1ace…, 2 to 4, 5ac, 6, 7, 8
Pg. 390 #2, 3, 5, 7, 10, 11cf, 12df,
13, 14
Pg. 395 #1ace…, 2bdf, 3
Pg. 396 #2, 5 to 12, 15, 17, 18
Pg. 399 #1 to 8
Pg. 454 #1ace…, 2aceg, 5
Pg. 461 # 1 ace…
Pg. 505 #1 acegik, 2ac, 3ace, 4
Pg. 511 #3ace…, 4ace…, 5a, 7
Pg. 515 #1, 2ac, 5 to 7