MCV4U – Calculus and Vectors

 

Link to Mrs. Marsella’s Webpage                                                 Link to RHHS Math Page

Link to updated textbook answers

Link to a table of updated textbook answers

 

Link to Previous Unit:  Unit 1

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz #3

Related Rates/Higher Order Derivatives/Velocity&Acceleration

(Mar 2 – Mar 7)

Friday, March 9

Quiz #4

Derivatives of Exponential and Logarithmic Functions

(Mar 8 – Mar 22)

Tuesday, March 27

Unit Test #2

All of Unit 2

 

Click here for practice on graphing the derivative of a function

 

Click here for practice on graphing function given derivative

 

Click here for a summary of topics with textbook references.

Thursday, April 5

 

 

Unit 2:  Related Rates and Derivatives of other Functions

Date

Topic/Learning goals

Daily Work/Assignments

Fri Mar 2

Intro to Related Rates

We will the concept of related rates and apply the approach to problems related to geometry.

P. 569 #1ab, 3 – 7, 12, 13, 15 – 17, 20

 

Click here for a solution to #17

Click here for a more detailed solution!

Mon Mar 5

Related Rates – Day 2

To apply related rates to problems involving the Pythagorean theorem.

P. 569 #1cde, 2, 8 – 11, 18, 21

 

Tue Mar 6

Higher Order Derivatives

We will determine the meaning and use of higher order derivatives.

P. 127 #2

Worksheet 2.8 #1 – 8

Click here for a copy of the worksheet

Wed Mar 7

Velocity and Acceleration

To apply higher order derivatives to interpreting motion.

 

Click here for today’s lesson

P. 127 #3, 4, 6bc, 8, 10 – 12, 14, 15, 17

 

Click here for more practice

 

Click here for a solution to The Derivative Function worksheet.

Thu Mar 8

 

 

 

The Natural Exponential Number “e” and Derivatives of Exponential Functions

We will define e and determine the derivative of exponential functions with base e.

Click here for an exponential and logarithmic reference sheet.

p. 232 #2 – 13, 15

Fri Mar 9

 

Quiz

The derivative of the Natural Logarithmic Function

We will review the properties of the logarithm and define the derivative of y = ln x

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

March 10 – 18

MARCH BREAK

Have a safe and enjoyable break!!

Mon Mar 19

Practise with related rates and derivative problems

Take time to review concepts learned before the break.

Handouts – Related Rates

Exponential and Logarithmic Functions (omit #1f,g,h and 7)

Tue Mar 20

Derivative of general exponential functions

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

Derivative of general logarithmic functions

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

p. 240 #1 – 6, 7ab, 8

 

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

Wed Mar 21

Logarithmic Differentiation

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

p. 582 #1 – 9, 12, 13

Thu Mar 22

Exponential and Logarithmic Differentiation – Work Period

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

 

 

Handouts -

Logarithmic Differentiation

Derivatives of Logarithmic & Exponential Functions

Fri Mar 23

Derivatives of Sine and Cosine

We will learn to differentiate functions involving sine and cosine.

Click here for a trigonometric reference sheet.

p. 256 #1 – 5, 14

 

Mon Mar 26

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

 

Tue Mar 27

 

 

 

Quiz

Applications of Trigonometric Functions (Part 1)

 Handouts –

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

Exercises 5.7 - #1, 2, 11

 

p. 257 #7, 10

p. 260 #7

Wed Mar 28

Applications of Trigonometric Functions (Part 2)

Handout –

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

Exercises 5.7 - #3, 4, 12, 13

Thu Mar 29

Review – Day 1 (Related Rates, Higher order derivatives, Velocity/Acceleration)

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

Handout – Related Rate Problems

 

Fri Mar 30 – Apr 2

EASTER HOLIDAY

ENJOY YOUR BREAK!!!

Tue Apr 3

Review – Day 2 (Exponential and Logarithms)

p. 263 #1, 2, 4 – 8, 11, 13, 14

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

 

Wed Apr 4

Review – Day 3 (Everything!!)

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

Handout – Derivatives of Exp/Log/Trig

Click here for extra practise on Velocity/Acceleration

Thu Apr 5

UNIT TEST #2

UNIT TEST #2