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

Course Outline:## Important Dates:

## Evaluation Type

## Day 1/3

## Date

## Day 2/4 Date

## Topics

FINAL DEADLINE: Tuesday, October 31, 2017

FINAL DEADLINE: Tuesday, March 27, 2018

## Unit 1 - Geometric and Cartesian Vectors

## Lesson

## Topic

## Unit 2 - Vectors in Three-Space

## Lesson

## Topic

## Unit 3 - Equations of Lines and Planes

## Lesson

## Topic

## Unit 4 - The Derivative Function

## Lesson

## Topic

## Unit 5 - Applications of Derivatives

## Lesson

## Topic

## Unit 6 - Curve Sketching

## Lesson

## Topic

## Unit 7 - The Derivative of Trigonometric Functions

## Lesson

## Topic

## Unit 8 - The Derivative of Exponential and Logarithmic Functions

## Lesson

## Topic