MCV4U - Calculus and Vectors: Notes, Handouts, Worksheets, Tests, PPS by Iulia and Teodoru Gugoiu

MCV4U Calculus and Vectors
©2010 Iulia & Teodoru Gugoiu
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Course Notes	Worksheets with Solutions and Practice Tests
Chapter 1 Introduction to Calculus: Limits
Radical Expressions: Rationalizing Denominators Notes 2010 \| Handout \| PowerPointShow
The Slope of Tangent Line Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Rate of Change Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Limits 10 Limits 11
Mid-Chapter Review	Quiz 1 Limits with Solutions
The Limit of a Function Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Limits 06 Limits 08
Properties of Limits Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Limits 01 Limits 02 Limits 03 Limits 04 Limits 05 Limits 06 Limits 08
Continuity Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Limits 07 Limits 09
Chapter 1 Review	Test 1 Limits Winter 2008 v1 [[Solutions] Test 1 Limits Winter 2008 v2 [Solutions] Test 1 Limits Fall 2009 [Solutions] Test 1 Limits Fall 2009 v2
Chapter 2 Derivative Rules
Derivative Function. First Principle Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	First Principle
Power Rule. Derivative of Polynomial Functions Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Power Rule Power, Sum/Difference Rules Derivatives of Polynomial Functions Piecewise Defined Functions Power Functions Functions Defined by a Graph Power Functions (II)
Product Rule Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Product Rule
Mid-Chapter Review	Quiz 2 Derivative Rules with Solutions
Quotient Rule Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Quotient Rule
Chain Rule Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Chain Rule (I) Chain Rule (II) Chain Rule (III) Chain Rule (IV) Chain Rule (V) Chain Rule (VI)
Tangent and Normal Line	Tangent Line (I) Tangent Line (II) Tangent Line (III) Tangent Line (IV) Tangent Line (V) Tangent Line (VI) Tangent Line (VII) Normal Line
Chapter 2 Review	Test 2 v1 Winter 2009 Test 2 v2 Winter 2009 Test 2 v2 Winter 2009Solutions Test 2 Fall 2009 Test 2 Fall 2009 Solutions
Chapter 3 Applications of Derivatives
Higher Order Derivatives. Velocity and Acceleration Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow	Higher Derivatives (I) Higher Derivatives (II) Higher Derivatives (III) Velocity and Acceleration (I) Velocity and Acceleration (II) Velocity and Acceleration (III)
Minimum and Maximum on an Interval. Global Extrema Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Optimization Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Chapter 4 Applications of Derivatives
Increasing and Decreasing Functions Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Critical Points. Local Extrema Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Asymptotes Notes 2009 \| [Notes 2010 \| Handout \| PowerPointShow
Mid Chapter Review
Concavity and Points of Inflection Notes 2009 \| [Notes 2010 \| Handout \| PowerPointShow
Curve Sketching Notes 2009 \| [Notes 2010 \| Handout \| PowerPointShow	Curve Sketching (I) Curve Sketching (II) Curve Sketching (III) Curve Sketching (IV) Curve Sketching (V)
Chapter 4 Review	Test 3 Fall 2009 [Solutions] Test 3 Winter 2009 Version 1 [Solutions] Test 3 Winter 2009 Version 2 [Solutions]
Chapter 5 Transcedental Functions and Optimization
Exponential Functions Notes 2010 \| Handout \| PowerPointShow	Basic Rules Sum/Difference Rule Product Rule Quotient Rule Chain Rule (I) Chain Rule (II) Chain Rule (III) Chain Rule (IV) Higher Derivatives Velocity and Acceleration Tangent Lines
Logarithmic Functions Notes 2010 \| Handout \| PowerPointShow
Trigonometric Functions Notes 2010 \| Handout \| PowerPointShow
Mid-Unit Review	[Quiz 4 v1 Winter 2009] [Solutions] [Quiz 4 v2 Winter 2009] [Solutions ]
Optimization Notes 2009 \| Notes 2010 \| Handout \| PowerPointShow
Chapter 5 Review	Test 4 Winter 2009 Version 1 [Solutions] Test 4 Winter 2009 Version 2 [Solutions]
Chapter 6 Vectors
An Introduction to Vectors Notes 2010 \| Handout \| PowerPointShow
Vector Addition and Subtraction Notes 2010 \| Handout \| PowerPointShow
Multiplication of a Vector by a Scalar Notes 2010 \| Handout \| PowerPointShow
Properties of Vectors Notes 2010 \| Handout \| PowerPointShow
Mid-Chapter Review	Test 5 Winter 2009 Version 1 [Solutions] Test 5 Winter 2009 Version 2 Test 5 Part 1 Fall 2009 [Solutions]
Vectors in R2 and R3 Notes 2010 \| Handout \| PowerPointShow
Operations with Vectors in R2 Notes 2010 \| Handout \| PowerPointShow
Operations with Vectors in R3 Notes 2010 \| Handout \| PowerPointShow
Chapter 7 Applications of Vectors
Vectors as Forces Notes 2010 \| Handout \| PowerPointShow
Velocity Notes 2010 \| Handout \| PowerPointShow
Dot Product of two Geometric Vectors Notes 2010 \| Handout \| PowerPointShow
Dot Product of Algebraic Vectors Notes 2010 \| Handout \| PowerPointShow
Mid-Chapter Review	Test 5 Winter 2009 Version 1 [Solutions] Test 5 Winter 2009 Version 2 Test 5 Part 2Fall 2009 [Solutions]
Scalar and Vector Projections Notes 2010 \| Handout \| PowerPointShow
Cross Product of two Vectors Notes 2010 \| Handout \| PowerPointShow
Applications of the Dot and Cross Products Notes 2010 \| Handout \| PowerPointShow
Chapter 7 Review	Test 5 Winter 2009 Version 1 [Solutions] Test 5 Winter 2009 Version 2 Test 5 Part 2Fall 2009 [Solutions]
Chapter 8 Equations of Lines and Planes
Vector and Parametric Equations of a line in R2 Notes 2010 \| Handout \| PowerPointShow
Cartesian Equation of a Line Notes 2010 \| Handout \| PowerPointShow
Vector, Parametric, and Symmetric Equations of a Line in R3 Notes 2010 \| Handout \| PowerPointShow
Mid Unit Review Lines	Test 6 Lines Winter 2009 Version 1 [Solutions] Test 6 Lines Winter 2009 Version 2 [Solutions] Test 6 Lines Fall Fall 2009 [Solutions]
Vector and Parametric Equations of a Plane Notes 2010 \| Handout \| PowerPointShow
Cartesian Equation of a Plane Notes 2010 \| Handout \| PowerPointShow
Chapter 8 Review	Test 6 Lines Winter 2009 Version 1 [Solutions] Test 6 Lines Winter 2009 Version 2 [Solutions] Test 6 Lines Fall Fall 2009 [Solutions]
Chapter 9 Relationships betwenn Points, Lines, and Planes
Intersection of two Lines Notes 2010 \| Handout \| PowerPointShow
Intersection of a Line with a Plane Notes 2010 \| Handout \| PowerPointShow
Intersection of two Planes Notes 2010 \| Handout \| PowerPointShow
Mid-Chapter Review	Test 6 Planes Winter 2009 Version 1 [Solutions] Test 6 Planes Winter 2009 Version 2 [Solutions] Test 6 Planes Fall Fall 2009 [Solutions]
Intersection of three Planes Notes 2010 \| Handout \| PowerPointShow
Distance from a Point to a Line Notes 2010 \| Handout \| PowerPointShow
Distance from a Point to a Plane Notes 2010 \| Handout \| PowerPointShow
Chapter 9 Review	Test 6 Planes Winter 2009 Version 1 [Solutions] Test 6 Planes Winter 2009 Version 2 [Solutions] Test 6 Planes Fall Fall 2009 [Solutions]
Final Exam Review
Final Exam Review [pdf]	Answers: p01 p02 p03 p04 p05_1 p05_2 p06 p07 p08 p09 p10 p11 p12

Resourses Online

1. Paul's Online Math Notes [Algebra] [Calculus I Online] [Calculus I PDF] [Cheat Sheets]
2. Math with MR. LECKIE [PreCalculus] [Calculus]
3. Calculus I [Worksheets]
4. HMC Mathematics Online Tutorial [PreCalculus] [Single Variable Calculus]
5. The Calculus Lifesaver [Video Page]
6. S.O.S. Mathematics [Algebra] [Calculus]
7. Wolfram MathWorld [Online Mathematics Dictionary] [Calculus Dictionary]
8. Calc101.com Automatic Calculus and Algebra Help [Step-by-Step Derivatives]
9. Ask Dr. Math® [Calculus]
10. Purplemath [Algebra]
11. The Math Forum @Drexel [PreCalculus] [Calculus] [Ask Dr. Math] [Math Topics for Calculus]
12. Math Department at Dartmouth [Calculus RealPlayer Movies]
13. Calculus Applets [Go]
14. The UBC Calculus Online [Course Notes]
15. Math Applets for Calculus at SLU [Go]
16. MathCentre [Go]

La Citadelle [From Rate of Change to Derivative]

Graphing Calculators
1. Draw Function Graphs [Online]
2. Winplot [Download] [Video Tutorials]

Other Resources
1. INTUTE [Go]
2. MERLOT [Go]