MCV4U – Calculus and Vectors

 

MCV4U – Calculus and Vectors

 

Link to Mr. Karo’s Webpage                                                 Link to RHHS Math Page

Link to updated textbook answers

 

UWaterloo CEMC Courseware – on line instructional videos with exercise & enrichment questions

 

Link to course units:   Unit 1      Unit 2     Unit 3     Unit 4      Unit 5

 

Upcoming Evaluations (Note: Dates are tentative):

Evaluation

Topics

Date

Quiz

Derivatives of Exponential and Logarithmic Functions

4/13

Unit Test #3

All of Unit 3

4/27

 

 

Unit 3:  Derivatives of other Functions

Date

Topic/Learning goals

Daily Work/Assignments

Fri

Apr 6

The Natural Exponential Number “e” and

We will define e and determine the derivative of exponential functions with base e (Euler number).

 

Click here for an exponential and logarithmic reference sheet.

 

 

Mon

Apr 9

Derivatives of Natural Exponential Functions and Derivative of general exponential functions

To extend our knowledge to determine the derivative of any exponential function y = bx

 

Click here for class notes part 1

 

Click here for class notes part 2

p. 232 #2 – 13, 15

 

p. 240 #1 – 6, 7ab, 8

 

 

 

 

 

Tue

Apr 10

Literacy Test (OSSLT)

No classes (except Gr. 10 Students)

 

 

Wed

Apr 11

Derivative of natural and general logarithmic functions

To extend our knowledge to determine the derivative of any logarithmic function y = logbx

 

Click here for class notes part 1.

 

Click here for class notes part 2.

p. 575 #3, 4, 5ab, 6, 7a, 8, 9a, 10 – 13

 

p. 578 #1, 2, 3a, 4acef, 5, 7, 9a

Thu

Apr 12

Logarithmic Differentiation

We will learn the method of logarithmic differentiation, and determine when this method is necessary.

 

Click here for class notes.

p. 582 #1 – 9, 12, 13

Fri

Apr 13

Quiz

 

Exponential and Logarithmic Differentiation – Work Period

To practise and consolidate our skills with derivatives involving exponential functions and logarithms.

Handouts -

Exponential and Logarithmic Differentiation

Logarithmic Differentiation

Mon

Apr 16

Limits of Trigonometric Functions

We will learn to evaluate limits of trigonometric functions.

 

Click here for class notes.

Handout

 

Tue

Apr 17

Derivatives of Sine and Cosine

We will learn to differentiate functions involving sine and cosine.

 

Click here for a trigonometric reference sheet.

 

Click here for class notes.

p. 256 #1 – 5, 14

 

Wed

Apr 18

Derivatives of Tangent

We will learn to differentiate functions involving tangents.

 

Click here for the completed lesson notes.

p. 260 #1 – 5, 8, 10, 11

 

Thu

Apr 19

Applications of Trigonometric Functions (Part 1)

 

Click here for the completed lesson notes!

 Handouts –

Applications of Trigonometric Functions (Part 2) #1 – 3

Exercises 5.7 - #1, 2, 11

 

p. 257 #7, 10

p. 260 #7

Fri

Apr 20

Applications of Trigonometric Functions (Part 2)

 

Click here for the completed lesson notes!

Handout

Applications of Trigonometric Functions (Part 2) #4 – 10

Exercises 5.7 - #3, 4, 12, 13

Mon

Apr 23

Applications of Exponential Functions

 

Click here for the completed lesson notes!

Handout – Derivatives of Logarithm & Exponential Functions

Tue

Apr 24

Review – Day 1

p. 156 #3,4,7,12,27,28,29,30

Handout – Related Rate Problems

 

Wed

Apr 25

Review – Day 2 (Exponential and Logarithms)

p. 263 #1, 2, 4 – 8, 11, 13, 14

p. 248 #1-5, #6 a-c

 

Thu

Apr 26

Review – Day 3 (Everything!!)

p. 263 #3, 9, 10, 15, 16, 17, 23

Handout – Derivatives of Exp/Log/Trig

Fri

Apr 27

UNIT TEST #3

UNIT TEST #3