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MCV4U | Spring 2026 | Preeti Chatrath | Asynchronous
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📕 Student Handbook
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🗒️ Instructor Resources
📋 Course Introduction
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🖋️ Course Outline, part i
🖋️ Course Outline, part ii
MCV4U Textbook
MCV4U Course Outline Fall 2025
☎️ Virtual Office Hours
Virtual Office Hours
Unit 1: Introduction to Limits and Derivatives
First Day Paragraph
Diagnostic: MHF Exam from Fall 2019
Video Lesson, Exercises, and Overview
Note: Radicalizing Expressions
Note: Tangent Lines
Note: Rates of Change
Note: Limits
Note: Continuity
Desmos Activity: Limits and Continuity
PDF: Derivatives at a Point
PDF: Derivatives from First Principles -- templates
PDF: More Derivatives from First Principles
Note: Existence of Derivatives
Asst #1: Limits and Derivatives
Unit 2: Taking Derivatives
Video Lesson and Exercises: Derivatives
Note: Derivative Rules for Polynomials
PDF: Product Rules, Quotient Rule from First Principles
PDF: Derivative Examples
Note: Equation of Tangent Line, Horizontal Tangents Examples
PDF: Product Rule with Chain Rule
Note: Product Rule with Chain Rule Examples
PDF: Quotient Rule Examples
Note: Making a Substitution
PDF: Derivative with a Substitution, 3 ways
Note: Higher Order Derivatives
PDF: Higher Order Derivatives, 3 Examples
PDF: Finding Extreme Values on an Interval
Asst #2: Taking Derivatives
Unit 3: Optimization Problems, Implicit Differentiation, Related Rates
Video Lesson and Exercises
PDF: Optimization Problems, Part 1: Intro to Optimization
PDF: Opmimization Problems Part 2: Business Applications
PDF: Optimization Problems, Part 3: Economics and Science
PDF: Optimization Problems, Part 4
PDF: Implicit Differentiation
Text: Related Rates
PDF Related Rates
Asst #3: Optimization
Unit 4: Curve Sketching
Video Lesson and Exercises: Curve Sketching
PDF: Making a Sign Table
PDF: Second Derivative Test
PDF: Algorithm for Curve Sketching
PDF: Example Curve Sketch 1
PDF: Example Curve Sketch 2
PDF: Example Curve Sketch 3
Curve Sketch Examples Booklet
Asst #4: Curve Sketching
Unit 5: Derivatives of Exponential and Trigonometric Functions
Video Lesson and Exercises
Note: Exponential Derivatives
Note: Trigonometric Derivatives
PDF: Natural Exponents and Logarithms
PDF: General Exponential and Logarithmic Functions
PDF: Derivatives and Word Problems on Exp and Log Functions
PDF: Optimization Problems with Exp and Log Functions
PDF: Derivatives of sin x and cos x
PDF: Derivatives of tan x
Asst #5: Exponential and Trigonometric Derivatives
Unit 6: Introduction to Vectors
Video Lesson and Exercises: Intro to Vectors
Notes
PDF: Algebraic Vectors Summary
PDF: An Introduction to Vectors
Asst #6: Intro to Vectors
Unit 7: Applications of Vectors
Video Lesson and Exercises: Applications of Vectors
Note: Velocity
Note: Force as Vectors
Note: Dot Product of Geometric Vectors
Note: Dot Product of Algebraic Vectors
Note: Scalar and Vector Projections
Note: Cross Product
Note: Applications of Dot Product and Cross Product
PDF: Intro to Vectors Word Problems
Asst #7: Applications of Vectors
Unit 8: Equations of Lines and Planes
Video Lesson and Exercises: Equations of Lines and Planes
Vector and Parametric Equations of Lines in R2
Cartesian Equation on a Line in R2
Vector, Parametric, Symmetric Equations of Lines in R3
Vector and Parametric Equations of Planes
Cartesian Equation of a Plane
Asst #8: Equations of Lines and Planes
Unit 9: Intersections of Lines and Planes
Video Lesson and Exercises: Unit 9
Intersections of Lines in R2 and R3
Systems of Equations
Intersections of 2 Planes
Intersections of 3 Planes
Distance Formulas
Asst #9: Intersections of Lines and Planes
Final Evaluation
MCV Final Review Questions
Sample MCV Final Exam
MCV4U Final Project [ 10% ]
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MCV4U | Spring 2026 | Preeti Chatrath | Asynchronous
Yönetici:
Canan Aran
Yönetici:
Semanur Kocer
Skill Level
:
Beginner
