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  • MCV4U | Summer 2025 | Jonathan Feldman | Synchronous
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  • Course data
    General
    Instructor Resources
    Course Introduction
    Course Outline 2025 -- Summary
    Course Outline -- Additional
    MCV4U Textbook
    Summer 2025 Lecture Records
    Jun 17
    Jun 19
    Jun 24
    Jun 26
    Unit 1: Introduction to Limits and Derivatives
    First Day Paragraph
    Unit 1: Overview and Videos
    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
    Summative Assignment #1
    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
    Summative Assignment #2
    Unit 3: Optimization Problems, Implicit Differentiation
    Video Lesson and Exercises: Optimization
    PDF: Optimization Problems, Part 1
    PDF: Opmimization Problems Part 2: Business Applications
    PDF: Optimization Problems, Part 3
    PDF: Implicit Differentiation
    PDF: Implicit Differentiation Applications
    PDF Related Rates
    Summative Assignment: Unit 3
    Unit 4: Curve Sketching
    Unit 5: Derivatives of Exponential and Trigonometric Functions (time permitting)
    Unit 6: Introduction to Vectors
    Unit 7: Applications of Vectors
    Unit 8: Equations of Lines and Planes
    Final Evaluation
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    MCV4U | Summer 2025 | Jonathan Feldman | Synchronous

    • Manager: Nate Dogan
    • Manager: Kadircan Erkut
    • Manager: Semanur Kocer
    • Manager: Berrin Koksal
    • Manager: Kaan Ünlü
    • Manager: Kerem Ünlü
    Skill Level: Beginner

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