MCV4U 12 Calculus

MCV4U Detailed Timeline and Assigned Practice

Unit 1- INTRODUCTION TO CALCULUS

Textbook Section Topic and Tentative Assigned Textbook Daily Practice

Prerequisite skills Handout Prerequisite skills sheet 1.1

1.1 Radical Expressions: Rationalizing the Numerator and Denominator p.2 # 2cef 4a 6 to 9, 10 11 12 p.9 #2 to 7

1.4 Limit of a Function p. 38 #4def 5 6 7ab 10 to 15

1.5 Properties of Limits p.45 #4def 7 8abcd 9abcd 10acd 13

1.2 Slope of a Tangent p.18 #4bef 5bc 8a 9c 10 to 19 (no 14,17)

1.3 Rates of Change p.29 #1 2ab 4 7c 9ab 10 13 15abc 17abcd 20

1.6 Continuity p.52 #4 7 8 13 14 16 17

Review P.56 #1 2 4 7 8 9 11ab 16 17acde 18 19ad 20 P.60 #1 3 4 5 6 7 8 then TEST

Unit 2- DERIVATIVES

Textbook Section Topic and Tentative Assigned Daily Practice

Prerequisite Skills p.62 #1 2 3a 4 5f 6 7 8ab 9ac 10 11

2.1 The Derivative Function p. 73 #1, 5cd, 6 to 12, 14

2.2 The Derivatives of Polynomial Functions p. 83 #3ade 5 to 12, 14, 17, 20

2.3 Product Rule p. 90 # 1to 10, 12

2.4 Quotient Rule p.97 # 4 to 14

2.5 Derivative of Composite Functions p. 105 #4 to 14

5.1 Derivatives of Exponential Functions p. 232 #1 to 13

5.2 Derivatives of General Exponential Functions p. 240# 1 to 9

5.3 Optimization Problems involving Exponential Functions p. 245 # 4 to 6 # 3 use desmos

5.4 Derivatives of y=sinx and y=cosx p. 256 # 1 to 12

5.5 Derivative of y=tanx p. 260 # 1 to 8

Review (Combined Chapter 2 & 5) p.110 #2, 5 to 30, no #25 & for #26, 27 just take the d'

p.263 #1 to 16, 18, 23 P.266 #1 2 3 5 6 7 8 9 P.564 #3ab 5ab then TEST

Unit 3 - APPLICATIONS of DERIVATIVES

Textbook Section Topic and Tentative Assigned Daily Practice

Prerequisite Skills

3.1 Higher Order Derivatives, Velocity & acceleration p. 127 # 3def 4ab 5 8ab 10 to 14

3.2 Extreme Values p. 135 # 1abcd 2ac 4bd 5ab 7 8 11 12

Mid-Chapter review p. 139 #1 2 3 4 5

3.3 Optimization Problems p.146 #3 4 7 8 9 10

3.4 Optimization Problems II -in Economics & Science p.146 #11a 13 14a 15 16 19 20

More practice with Optimization II p.153 # 4 to 14 *** Extra 16 WORD PROBLEMS SHEET plus SOLUTIONS attached above **

Review p.156 #1 2 3 5 6ab 7ab 10b 12ab 14 16 17 19 20 24 26cd 27 30 P.160 #1bd 3 4ab 5ab 6 7 8 then TEST

Unit 4 - CURVE SKETCHING

Textbook Section Topic and Tentative Assigned Daily Practice

Prerequisite Skills

4.1 Increasing/Decreasing Functions p.169 # 1 to 3abcd 6 7 8 9abcd 10 12

4.2 Critical Points, Local Extrema p.178 # 7f 8 9 1113 14d 15

4.3 Asymptotes – Vertical & Horizontal p.193 # 3ab 4adf 5bcd 7abc 8ab

Asymptotes II p.194 # 9abc 10acde 11 15

4.4 Concavity & Inflection Points p. 205 # 4bd 5ab 8a 9 10 11

4.5 Curve Sketching p.213 # 4 to 7

Review p.217 #2 3 4 5 7 8 9a 11a 12ab 13 16a 18 19 20ab p.220 #1 2 3 4 7 then TEST

***** CALCULUS EXAM – MIDTERM on Chapters 1 to 5 *****

Calculus Exam Cumulative Review questions: Textbook p. 267 # 1 to 32.

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Unit 5 - INTRO. TO VECTORS

Textbook Section Topic and Tentative Assigned Daily Practice

Prerequisite Skills

6.1 Intro. to Vectors p.279 # 3 to 11

6.2 Vector Addition p.291 # 9 to 14

6.3 Multiplication of a Vector by a Scalar p.299 # 5 to 8, 11, 13 to 17

6.4 Properties of Vectors p. 307 # 5 to 11

6.5 Vectors in R-squared and R-cubed p. 317 # 9 to 16

6.6 Operations in R-squared p.325 # 6 to 11, 13 to 15

6.7 Operations in R-cubed p. 333 # 5 to 11, 13 to 15

6.8 Linear Combinations & Spanning Sets p.340 #2 7a 9 11 12a b(i) 13ab 15

Review p.344 #1 2a 3 5 6a 7bd 8ab 9 10ab 11a 12b 14ab 15ab 16ac 18a 19ab then TEST

Unit 6 - APPLICATIONS OF VECTORS

Textbook Section Topic and Tentative Assigned Daily Practice

Prerequisite Skills

7.1 Vectors as Forces p. 363 # 5 to 8, 12 to 17

7.2 Velocity p. 369 # 3 to 6, 8 to 13

7.3 Dot Product of Two Geometric Vectors p. 377 # 6 to 11, 13 to 16

7.4 Dot Product of Algebraic Vectors p. 386# 6 to 8, 10, 11, 13 to 17

7.5 Scalar and Vector Projections p. 399 # 6 to 16

7.6 Cross Product of Two Vectors p. 407 # 3 to 11

7.7 Applications of Dot and Cross Products p. 415 # 3 to 9

Review then TEST

Unit 7 - EQUATIONS OF LINES and PLANES

Textbook Section and Topic Assigned Daily Practice

Prerequisite Skills

8.1 Vector and Parametric Equations in R-Squared p. 433 # 4 to 12

8.2 Cartesian Equation of a Line p. 443 # 6 to 12

8.3 Vector, Parametric & Symmetric Equations of a Line in R-Cubed p. 449 # 3 to 11

8.4 Vectors & Parametric Equations of a Plane p. 459 # 6 to 11, 13 to 15

8.5 The Cartesian Equation of a Plane p. 469 # 5 to 9, 11 to 13, 15

8.6 Sketching planes in R-cubed p. 476 # 1 to 10

9.1 Intersections of a Line with a Plane & Two Lines p. 497 # 4 to 9, 12, 14 to 16

9.2 Systems of Equations Matrices - Part I p. 508 # 12 p. 589 # 10

9.3 Intersection of Two Planes p. 516 # 4 to 11 and Distance from a Point to a Plane p. 550 # 2

9.4 Intersection of Three Planes Matrices – Part II p. 530 # 5 to 13

Review then TEST

Vectors exam review Cumulative review in textbook on Chapters 6 to 8 and 9.1 to 9.4, 9.6.

***** VECTORS EXAM – FINAL EXAM *****