Course Outline:



Important Dates:

Evaluation Type

Day 1/3

Date

Day 2/4 Date

Topics

Quiz
Thursday, September 21, 2017
Wednesday, September 20, 2017
Geometric Vectors, Adding/Subtracting Vectors, Multiplying a Vector by a Scalar, Cartesian Vectors
Test
Thursday, October 5, 2017
Wednesday, October 4, 2017
Geometric Vectors, Adding/Subtracting Vectors, Multiplying a Vector by a Scalar, Cartesian Vectors, Modelling Velocity and Force, Dot Product, Properties of Dot Product
Quiz
Thursday, October 19, 2017
Friday, October 20, 2017
Intro to 3-Space, Operations on Cartesian Vectors, Dot Product in 3-Space
Assignment
Friday, October 27, 2017
Thursday, October 26, 2017
Assignment 1
FINAL DEADLINE: Tuesday, October 31, 2017
Test
Thursday, November 2, 2017
Wednesday, November 1, 2017
Intro to 3-Space, Operations on Cartesian Vectors, Dot Product in 3-Space, Cross Product, Properties of Cross Product
Quiz


Equation of a Line, Distance Between Lines, Equation of Planes
Test


Equation of a Line, Distance Between Lines, Equation of Planes, Properties of Planes, Intersection of Lines and Planes, Intersection of Two Planes, Intersection of Three Planes
EXAM



Quiz


The Limit of a Function, One Sided Limits, Equation of a Tangent Line, The Derivative From First Principles
Test
Thursday, February 8, 2018
Tuesday, February 13, 2018
The Limit of a Function, One Sided Limits, Equation of a Tangent Line, The Derivative From First-Principles, The Derivative Rules
Assignment
Wednesday, February 14, 2018
Thursday, February 15, 2018
FINAL DEADLINE: Tuesday, February 20, 2018
Quiz


Velocity and Accleration, Extreme Values, Optimization




Test


Velocity and Acceleration, Extreme Values, Optimization
Assignment
Friday, March 23, 2018
Monday, March 26, 2018
Problem Set
FINAL DEADLINE: Tuesday, March 27, 2018
Quiz
Wednesday, April 4, 2018
Tuesday, April 19, 2018
Local Maximum and Minimum, Increasing and Decreasing Intervals, Vertical Asymptotes
Test
Friday, April 20, 2018
Thursday, April 19, 2018
Local Maximum and Minimum, Increasing and Decreasing Intervals, Vertical Asymptotes, Horizontal Asymptotes, Oblique Asymptotes, Intervals of Concavity
Test


Derivative of Trigonometric Functions, Maximum and Minimum Values, Curve Sketching, Optimization
Quiz


Derivative of Logorithmic and Exponential Functions
Test


Derivative of Logorithmic and Exponential Functions, Maximum and Minimum Values, Curve Sketching, Optimization
EXAM
Wednesday, June 21, 2017







Unit 1 - Geometric and Cartesian Vectors

Lesson

Topic

01
Geometric Vectors
02
Adding Vectors
03
Subtracting Vectors
04
Multiplying a Vector by a Scalar
05
Cartesian Vectors
06
Modelling Velocity
07
Modelling Force
08
The Dot Product
09
Properties of the Dot Product and Projections
10
Review
11
Test

Unit 2 - Vectors in Three-Space

Lesson

Topic

01
Introduction to 3-Space
02
Operations on Cartesian Vectors
03
The Dot Product
04
Assignment
05
The Cross Product
06
The Properties of Cross Product
07
Review
08
Test

Unit 3 - Equations of Lines and Planes

Lesson

Topic

01
Revisiting the Equation of a Line in 2-Space
02
Equation of a Line in 3-Space
03
Distance Between Lines
04
The Scalar Equation of a Plane
05
Properties of Planes
06
Intersection of Lines and Planes
07
Intersection of Two Planes
08
Intersection of Three Planes: Analysis
09
Intersection of Three Planes
10
Review
11
Test

Unit 4 - The Derivative Function

Lesson

Topic

Homework
01
The Limit of a Function
page 19 # 1 - 5
02
One Sided Limits
page 27 # 1 - 3, 4 - 9
03
The Tangent Problem
page 35 # 7, 8
04
The Derivative from First Principles
page 76 # 10 - 12
05
Constant, Power, and Constant Multiple Rules
page 83 # 1 - 4, 7 - 9
06
Sum and Difference Rule

07
Product Rule

08
Quotient Rule

09
Chain Rule

11
Assignment

12
Review

13
Test

Unit 5 - Applications of Derivatives

Lesson

Topic

01
Velocity and Acceleration
02
Extreme Values
03
Optimization 1
04
Optimization 2
05
Optimization 3
06
Problem Set
07
Optimization 4
08
Review
09
Test

Unit 6 - Curve Sketching

Lesson

Topic

Homework
01
Increasing and Decreasing Intervals
page 170 # 2 - 4
02
Maximum and Minimum Values
page 177 # 3 (omit g), 4 (omit j), 6, 7
03
Classifying Critical Points

04
Vertical Asymptotes

05
Horizontal Asymptotes

06
Oblique (Slant) Asymptotes

07
Intervals of Concavity

08
Curve Sketching

09
Curve Sketching

11
Review

12
Test

Unit 7 - The Derivative of Trigonometric Functions

Lesson

Topic

01
The Derivative of y = sinx and y = cosx
02
The Derivative of Other Trigonometric Functions
03
Maximum and Minimum Values of Trigonometric Functions
04
Curve Sketching of Trigonometric Functions
05
Applications
06
Review
07
Test

Unit 8 - The Derivative of Exponential and Logarithmic Functions

Lesson

Topic

01
The Derivative of Exponential Functions y = e^x
02
The Derivative of y = lnx
03
The Derivative of y = b^x and y = logx
04
Maximum and Minimum Values of Exponential and Logarithmic Functions
05
Optimization of Exponential and Logarithmic Functions
06
Curve Sketching of Exponential and Logarithmic Functions
07
Review
08
Test