Mr. Kellershohn's MCV 4U1 Page
CSM, H.B.Sc.Mathematics, B.Ed, H. Specialist Mathematics

Welcome to my Grade 12 Calculus & Vectors homepage. Please make a
selection below to go to the appropriate unit.


Rates of Change / Derivatives / Curve Sketching /Derivatives of Sinusoidal Functions

Derivatives Exp. & Nat. Log. / Geometric Vectors / Cartesian Vectors 

Lines and Planes / Course Review 



RATES OF CHANGE
Day 1

Intro to course


Day 2

ROC & Slope

Page 9-12 #1-3,6,11,5,8-10,14

Day 3

ROC & Equations

Page 20 #1ab,2,3,8,10a,12i,16

Day 4

Quiz

Limits

Sheet pg98 #4-8,10-14

Day 5

Limits & Continuity

Page 44 #4-6,8-10,11-13cde 15,16,19

Day 6

Limits & Continuity

Page 44 #4-6,8-10,11-13cde 15,16,19

Day 7

Intro Derivatives

Page 58 #1,3,4-6,8-11,14,16

Day 8

Review Page 66 All

Day 9

Unit Test

Day 10

Rich Task
Water Skier




DERIVATIVES
Day 1

Derivative of Polynomials

Page 83-86 #1-4,5a,6,8,11,13ab
14 ab,15,16ab,27

Day 2

Product Rule

Page 93-95 #2de,3de,4,5-8 bcd
10,11,14,15

Day 3

Quotient Rule

Page 124-126 #2,4,5,6,7,8,9,10

Day 4

Quiz

Chain Rule

Page 117-119 #1,3-5,7-11,13,14

Day 5

ROC Derivatives

Page 106 #1ef, 2ef, 3cd, 4cd
Page 137 #2,3,5,9,10,13,16

Day 6

Review Questions

Page 144

Day 7

Unit Test

Day 8

Tech TI-Nspire

Day 9



Day 10






CURVE SKETCHING
Day 1

Increasing & Decreasing
Functions

page 156 - 158 # 1,2,6

Day 2

Maximum & Minimum

page 163 - 165 # 2-4,10-13

Day 3

Concavity

page 173 - 175 #2,4-8

Day 4

Rationals

page 173 #2, 4 - 8
page 183 #1,2

Day 5

Optimization Problems

page 201 - 203 #1-6,8,9,11,13

Day 6

Review Examples

page 206 All omit #4,13

Day 7

Review Continued
Intro Next Unit

Day 8

Unit Test

Day 9



Day 10






DERIVATIVES OF SINUSOIDAL FUNCTIONS
Day 1

Take up Test

Prerequisite Skills
page 212 - 213 # 1,3,
4,7,8,10,11,14

Day 2

Deriv. Sinusoidal

page 225 # 2 - 8

Day 3

Chain, Product and
Power Rules

page 231 - 232 # 1-5,7,8,12

Day 4

Apps of Sinusoidal

page 241 - 243 # 1 - 10

Day 5

Rich Task
Ferris Wheel
page 248

Day 6

Review

page 249 ...

Day 7

Unit Test

Prereq. Skills
Next Unit

page 250 #5,6,7,10abc,12,13

Day 8



Day 9



Day 10




EXPONENTIAL & NATURAL LOGARITHM
Day 1

Deriv. Exponential

Sheet (Handout)

Day 2

Deriv. Natural Log

Sheet (Handout)

Day 3

Deriv. General Exp.

page 274 - 276 #1,3-8,15,16

Day 4

Deriv. Rules for Exp.

page 282 - 283 #2-5,7-15

Day 5

Exp. Models

page 289 - 291 # 1-5,
6 ab,7,8,10,11,13

Day 6

Review

page ?

Day 7

Rich Task Codeine

page 300

Day 8

Unit Test

Day 9



Day 10




GEOMETRIC VECTORS
Day 1

Take up Test
Intro to Vectors

page 310 #1,3-11,14

Day 2

Vector Addition

page 325 - 327 #1-9,11,12,13

Day 3

Scalar Multiplication


Day 4



Day 5



Day 6



Day 7

Unit Review

Day 8



Day 9

Unit Test

Day 10




CARTESIAN VECTORS
Day 1

Intro Cartesian
Vectors

Page 367-369 #1,2,5-8,9-15

Day 2

Dot Product

Page 375-377 #1-5abc,7abcd,8-13

Day 3

Apps of Dot Product

Page 384-386#1-5bcd,6-12

Day 4

Vectors in 3-space

Page 399-401 #3-12,14,17,19

Day 5

Cross Product

Page 410-412#1 - 4, 7 - 11

Day 6

Apps of Dot & Cross
Product

Page 418 - 419 # 1-5,7-9

Day 7

Assignment

Selected Questions
From the Textbook

Day 8

Review Page 422
All Omit #11,19,25

Day 9

Unit Test

Day 10

Rich Task Cube




LINES & PLANES
Day 1

Vector & Parametric
Equations in 2-space

Page 437-439
#1,2,5-7cd,12,13,16ab,23

Day 2

Scalar Equation of a Line
Equations of Lines in 3D

Page 437
#10,11,14,16cde,20,32,34

Day 3

Equations of Planes

Page 451-453 #1-9 bc,10,13

Day 4

Properties of Planes

Page 459 #1-8 bc,10-12
16,17,18

Day 5

Intersection of Lines

Page 471-473 #2-6,8,9,12

Day 6

Intersection of Lines
and Planes

Page 479-481 #2-8

Day 7

Intersection of Planes

Page

Day 8

Review 1of2
Quiz/Assign

Day 9

Review 2of2


Day 10

Unit Test




REVIEW FOR EXAM


Consider knowing the following topics and or questions to help you prepare for the exam.

Page 509 #6,7,8,10e,12,24ab,38,29ce,46,56a,60,59a(type & names),58,63,66,77,90,53,4,14,42
area of a parallelogram from vectors / cross product of two vectors / rationalize a denominator / equation of tangent / slope of a tangent
solve intersection of two planes / optimization problem - maximize the area of a rectangle / plane question, determine the ground velocity



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Last updated: May, 2009
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