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A. Rivard Runs Through It
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A. Rivard Runs Through It
Home
Mathematics
MPM2D Home
MFM2P Home
MCV4U Home
Computer Science
ICS3U Home
ICS4U Home
Assignments
ICS4C Home
Assignments
Computer Technology
TIJ1O
TEJ2O Home
TEJ2O Lessons
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Home
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MPM2D Home
MFM2P Home
MCV4U Home
Computer Science
ICS3U Home
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TIJ1O
TEJ2O Home
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Lessons
Unit 0: Introduction
Course Outline
My e-mail
Unit 1: Limits [
OUTLINE
]
Lesson 1: Review [
Note
] [
Hwk
] [
Extra Reading/Work
]
[Videos:
Domain
/
Range
,
Function Notation
,
Rationalising the Denominator
/
Numerator
]
Lesson 2: Slope of a Tangent [
Note
] [
Hwk
]
Lesson 3: Slope of a Tangent Part 2 [
Note
] [
Hwk
]
[
Video
]
Lesson 4: Rate of Change [
Note
] [
Hwk
] [
Note Answers
]
[Video: Rate of Change (
Line, Curve
)]
Lesson 5: Limits [
Note
] [
Hwk
]
Lesson 6: Mid-Chapter Review
Lesson 7: Properties of Limits [
Note 1
] [
Note 2
]
[Videos:
Factoring
,
One Sided Limits (Absolute Values)
,
Change of Variable
(
Hints
,
Example
),
Rationalize the Numerator
]
Lesson 8: Continuity [
Note
] [
Supplementary Handout
] [
Exit Pass
]
Lesson 9: Limits of Polynomial and Rational Functions [
Note
]
Lesson 10: Limits of Functions Involving Rationals [
Note
]
Lesson 11: Limits at Infinity [
Note
]
Review [
Work
]
Unit 2: Derivatives [
OUTLINE
]
Lesson 1: The Derivative Function [
Note
-
Filled
]
Lesson 2: The Derivative of a Polynomial - Day 1 [
Note
]
Lesson 3: The Derivative of a Polynomial - Day 2 [
Note
]
Lesson 4: The Product Rule [
Note
]
Lesson 5: The Quotient Rule [
Note
]
Lesson 6: The Derivative of Composite Functions (Chain Rule) [
Note
]
Lesson 7: Leibniz Notation [
Note
-
Filled
]
Videos: [
What is dy/dx?
,
What is the Difference between d/dx and dy/dx?
]
Implicit Differentiation [
Note
] (Not Covered)
Review [
In-Class Review
] [
Quiz Answers
]
Unit 3: Curve Sketching [
OUTLINE
]
Lesson 1: Prerequisite Skills [
Note
]
Videos: [Solving Inequalities
1
,
2
,
Factor/Remainder Theorem
,
Synthetic Division
]
Lesson 2: Increasing and Decreasing Functions [
Note
]
Lesson 3: Critical Points, Relative Min/Max [
Note
]
Lesson 4: Vertical and Horizontal Asymptotes [
Note
-
Filled
] [
Textbook
]
Lesson 5: Oblique Asymptotes [
Note
-
Filled
]
Lesson 6: Concavity and Points of Inflection [
Note
]
Lesson 7: An Algorithm For Graph Sketching [
Note
]
Review -
TEST HINTS
Unit 4: Applications of Derivatives [
OUTLINE
]
Lesson 1: Higher-Order Derivatives, Velocity, and Acceleration [
Note
]
Lesson 2: Maximum and Minimum Values Over Intervals [
Note
]
Lesson 3: Optimizing Problems - Area/Volume [
Note
]
Lesson 4: Optimizing Problems - Pythagorean Distance [
Note
]
Lesson 5: Optimization Problems in Economics and Science (Cost Problems) [
Note
]
Lesson 6: Related Rates (Area & Distance) [
Note
]
Review [
Extra Questions and Full Solutions for Word Problems
]
Unit 5: Derivatives of Exponents and Trigonometry [
OUTLINE
]
Lesson 1: Derivatives of Exponential Functions y=eˣ [
Note
]
Lesson 2: Derivatives of Exponential Functions y=bˣ [
Note
] [
Filled
]
Lesson 3: Optimization Problems Involving Exponential Functions [
Note
] [Homework
1
,
2
,
3
]
Lesson 4: The Derivative of y=sin(x) and y=cos(x) [Note]
Lesson 5: The Derivative of y = tan(x) [
Note
]
Review
Unit 6: Introduction to Vectors [
OUTLINE
]
Lesson 1: Introduction to Vectors [
Note
] [
Filled
]
Lesson 2: Vector Addition [
Note
] [
Filled
]
Lesson 3: Multiplication of a Vector by a Scalar [
Note
] [
Filled
]
Lesson 4: Properties of Vectors [
Note
] [
Filled
] [
Parallelogram Proofs (pg 299/306)
]
Lesson 5: Vectors in R² and R³ [
Note
] [
Filled
]
Lesson 6: Operations with Vectors in R² [
Note
] [
Filled
]
Lesson 7: Operations with Vectors in R³ [
Note
] [
Filled
]
Lesson 8: Linear Combinations and Spanning Sets [
Note
] [
Filled
]
Review [
Extra Work
] [
Answers to Questions From the Textbook
]
Unit 7: Algebraic Vectors and Applications [
OUTLINE
]
Lesson 1: Force as a Vector [
Note
] [
Filled
]
Lesson 2: Velocity as a Vector [
Note
] [
Filled
]
Lesson 3: The Dot Product of Two Geometric Vectors [
Note
] [
Filled
]
Lesson 4: The Dot Product of Algebraic Vectors [
Note
] [
Filled
]
Lesson 5: Scalar and Vector Projections [
Note
] [
Filled
]
Lesson 6: The Cross Product of Two Vectors [
Note
] [
Filled
]
Lesson 7: Applications of Dot Product and Cross Product [
Note
] [
Filled
]
Review [
Extra Work
] [
Test Format
]
Unit 8: Equations of Lines and Planes [
OUTLINE
]
Lesson 1: Vector and Parametric Equations [
Note
] [
Filled
]
Lesson 2: Cartesian Equation of a Line [
Note
] [
Filled
]
Lesson 3: Vector Parametric and Symmetric Equations of a Line in R³ [
Note
] [
Filled
]
Lesson 4: Vector and Parametric Equations of a Plane [
Note
] [
Filled
]
Lesson 5: Cartesian Equation of a Plane [
Note
] [
Filled
]
Lesson 6:
Sketching Planes in R³ [
Note
] [
Filled
]
Intersection of a Line With a Plane and the Intersection of Two Lines [
Note
] [
Filled
]
Lesson 7:
Systems of Equations [
Note
] [
Filled
] [
Alternate Solution to Example 4
]
Intersection of Two Planes [
Note
] [
Filled
]
Review
[
Folder
]
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