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 = b^{x}^{} Derivative
of general logarithmic functions To extend our knowledge to determine the derivative of any
logarithmic function y = log_{b}x |
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 |