MCV 4U

1.1 Introduction to Vectors

1.2 Vector Addition

1.3 Scalar Multiplication

1.4 Properties of Vectors

1.5 Introduction to R³

1.6 Operations with Component Vectors in R²

1.7 Operations with Component Vectors in R³

1.8 Spanning Sets

Review - p. 344#2,3,6,7,9-11,14-17,19

Quiz

1.9 Vectors as Forces

1.10 Velocity

1.11 The Dot Product

1.12 Projections

1.13 The Cross Product

1.14 Applications of the Dot and Cross Products

Review - p.418#1,3,4,6,9-12,14,15,17,18,20-24,30,34,35,37

Test

2.1 Equations of Lines 2D

2.2 Equations of Lines 3D

2.3 Vector Equations of Planes

2.4 Normals and Cartesian Equations of Planes

Mid Unit Review - p. 480#3,6,9,11,15,20ace,21,23,29,30,33,34

Quiz

2.5 Intersections of a Line and a Plane

2.6 Intersections of 2 Planes

2.7.1 Intersections of 3 Planes

2.7.2 3 Planes Lesson 2

2.8 The Distance from a Point to a Line

2.9 The Foot of a Line or Plane

Review - p.553#3,5,6,7,8,10,11,13,14,20*

Test

3.1 Rationalizing the Denominator

3.2 Limits - Worksheet

3.3 The Slope of the Tangent

3.4 Continuity

Mid-Review - p.56#1,2,4,7-9,11,19

Quiz

3.5 The Derivative Function

3.6 Derivatives of Polynomial Functions

3.7 The Product Rule

3.8 The Quotient Rule

3.9 The Chain Rule

3.10 Higher Order Derivatives - Homework

Review - p. 110# 3,4,5,10,11,28,29 (where appropriate, do aceg...)

Test

4.1 Derivatives of Trigonometric Functions

4.2 Derivatives of Exponential Functions

4.3 Implicit Differentiation

4.4 Derivatives of Logarithms

Review

Test

5.1 Velocity/Acceleration Problems

5.2 Optimization Problems

5.3 Exponential Optimization Problems

5.4 Optimizing Trigonometric Function

5.5 Related Rates Problems

Review - p. 156#1,3,6,7,14-16,18,19,21,23-25,30; p. 263# 6,12,19,21

Test

6.1 Intervals of Increase and Decrease

6.2 Concavity and Points of Inflection

6.3 Vertical and Horizontal Asymptotes

6.4.1 Curve Sketching - 6.4.2 - 6.4.3 - 6.4.4

Review

Test