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MCV4U Calculus and Vectors - Ontario Curriculum
©2020 Iulia & Teodoru Gugoiu
Day 1 - 7.5 Parametric Equations Example 1 - Graphing Parametric Equations Example 2 - Parametric to Rectangular Form Day 2 - 7.5 Parametric Equations part 2 Example 1 - Parametric Eqtns w/ Trig Day. Chapter 5: Vectors. This is a fairly short chapter. We will be taking a brief look at vectors and some of their properties. We will need some of this material in the next chapter and those of you heading on towards Calculus III will use a fair amount of this there as well.
Calculus And Vectorsms. Ma's Website Number
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Calculus And Vectorsms. Ma's Website Page
NEW: Vectors Calculator
Calculus And Vectorsms. Ma's Website Login
NEW: Vectors Calculator
Calculus And Vectorsms. Ma's Website Login
Calculus And Vectors Nelson
| Course Notes | Worksheets with Solutions and Practice Tests |
| Chapter 1 Introduction to Calculus: Limits | |
Radical Expressions: Rationalizing Denominators | |
The Slope of Tangent Line | |
Rate of Change | |
| Mid-Chapter Review | Quiz 1 Limits with Solutions |
The Limit of a Function | Limits 06Limits 08 |
Properties of Limits | Limits 01Limits 02Limits 03 |
Continuity | Limits 07Limits 09 |
| Chapter 1 Review | Winter 2009 T1 V1 |
| Chapter 2 Derivative Rules | |
Derivative Function. First Principle | First Principle |
Power Rule. Derivative of Polynomial Functions | Power Rule |
Product Rule | Product Rule |
| Mid-Chapter Review | Quiz 2 Derivative Rules with Solutions |
Quotient Rule | Quotient Rule |
Chain Rule | Chain Rule (I) |
| Tangent and Normal Line | Tangent Line (I) |
| Chapter 2 Review | Winter 2009 T2 V1 |
| Chapter 3 Applications of Derivatives | |
Higher Order Derivatives. Velocity and Acceleration | Higher Derivatives (I) |
Minimum and Maximum on an Interval. Global Extrema | |
| Optimization Notes 2009 | Notes 2010 | Handout | PowerPointShow | |
| Chapter 4 Applications of Derivatives | |
Increasing and Decreasing Functions | |
Critical Points. Local Extrema | |
Asymptotes | |
| Mid Chapter Review | |
Concavity and Points of Inflection | |
Curve Sketching | Curve Sketching (I) |
| Chapter 4 Review | Winter 2009 T3 V1 |
| Chapter 5 Transcedental Functions and Optimization | |
Exponential Functions | Basic Rules |
Logarithmic Functions | |
Trigonometric Functions | |
| Mid-Unit Review | [Quiz 4 v1 Winter 2009] [Solutions] |
| Optimization Notes 2009 | Notes 2010 | Handout | PowerPointShow | |
Chapter 5 Review | Test 4 Winter 2009 Version 1 |
Chapter 6 Vectors | |
An Introduction to Vectors | |
Vector Addition and Subtraction | |
Multiplication of a Vector by a Scalar | |
Properties of Vectors | |
Vectors in R2 and R3 | |
Operations with Vectors in R2 | |
Operations with Vectors in R3 | |
Chapter 6 Review | Test 5 Part 1 Version 1 Winter 2010 |
Chapter 7 Applications of Vectors | |
Vectors as Forces | |
Velocity | |
Dot Product of two Geometric Vectors | |
Dot Product of Algebraic Vectors | |
Scalar and Vector Projections | |
Cross Product of two Vectors | |
Applications of the Dot and Cross Products | |
Chapter 7 Review | Test 5 Part 2 Version 1 Winter 2010 |
Chapter 8 Equations of Lines and Planes | |
Vector and Parametric Equations of a line in R2 | |
Cartesian Equation of a Line | |
Vector, Parametric, and Symmetric Equations of a Line in R3 | |
Vector and Parametric Equations of a Plane | |
Cartesian Equation of a Plane | |
Review: Lines | Test 6 Lines Winter 2009 Version 1 |
Chapter 9 Relationships betwenn Points, Lines, and Planes | |
Intersection of two Lines | |
Intersection of a Line with a Plane | |
Intersection of two Planes | |
| Intersection of three Planes Notes 2010 | Handout | PowerPointShow | |
Distance from a Point to a Line | |
Distance from a Point to a Plane | |
Review: Planes | Test 6 Planes Winter 2009 Version 1 |
Course Evaluation (December 6, 2010) | |
Final Exam Review | |
Final Exam Review [pdf] | Answers: |
Vector Calculus Problems
