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MCV 4U - Calculus and Vectors

Useful Links

• Course Outline
• Link to Peanut Software - FREE math tools!
• MUST READ! All Sorts of Communication Errors!
• Oblique Grid
• Vector Calculator for Excel
• Row-Reducing Spreadsheet
• Updated Textbook Answers - Chapters 1-3 - Chapters 4-6 - Chapters 7-9

Unit 1 - Introduction to Vectors

• 1.1 Introduction to Vectors
• 1.2 Vector Addition
• 1.3 Scalar Multiplication
• 1.4 Properties of Vectors
• 1.5 Vectors in and
• 1.6 Operations with Algebraic Vectors in
• 1.7 Operations with Vectors in
• 1.8 Linear Combinations and Spanning Sets
• Review
• Test - October 11

Unit 2 - Cartesian Vectors

• 2.1 Vectors as Forces
• 2.2 Velocity
• 2.3 The Dot Product
• 2.4 Projections
• 2.5 The Cross Product
• 2.6 Applications of the Dot and Cross Products
• Review
• Test - November 7

Unit 3 - Lines and Planes

• 3.1 Equations of Lines 2D
• 3.2 Equations of Lines 3D
• 3.3 Vector and Parametric Equations of Planes
• 3.4 Normals and Cartesian Equations of Planes
• Quiz
• 3.5 Intersections of a Line and a Plane
• 3.6 Intersections of 2 Planes
• 3.7.1 Intersections of 3 Planes
• 3.7.2 Using Matrices to Solve 3 Unknowns
• 3.7.3 Using Spreadsheets to Reduce Matrices
• 3.8 The Distance from a Point to a Line
• 3.9 The Distance from a Point to a Plane
• Review
• Test - December 20th

Vectors Exam - January 13th

Unit 4 - Rates of Change

• 4.1 Rationalizing the Denominator
• 4.2 The Slope of the Tangent
• 4.3 Rates of Change
• 4.4 Limit of a Function
• 4.5 Properties of Limits
• 4.6 Continuity
• Review
• Test - February 16th

Unit 5 - Derivatives I

• 5.1 The Derivative Function
• 5.2 Derivatives of Polynomial Functions
• 5.3 The Product Rule
• 5.4 The Quotient Rule
• 5.5 The Chain Rule
• 5.6 Derivatives of y=sinx and y=cosx
• 5.7 Last Class omg
• 5.8 Implicit Differentiation
• 5.9 e to the x / b to the x
• 5.10 Derivatives of Logarithms
• Review
• Test - April 2nd

Unit 6 - Applications of Derivatives

• 6.1 Higher Order Derivatives
• 6.2 Extrema
• 6.3 Optimization Problems
• 6.4 Related Rates Problems
• Review
• Test -

Unit 7 - Curve Sketching

• 7.1 Intervals of Increase and Decrease
• 7.2 The First Derivative Test
• 7.3 Vertical and Horizontal Asymptotes
• 7.4 Concavity and Points of Inflection
• 7.5 Curve Sketching
• Review
• Test -