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[[summaryof]] | OIHS

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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

General

Instructor Resources

Course Introduction

Course Outline 2025 -- Summary

Course Outline -- Additional

MCV4U Textbook

Attendance

Summer 2025 Lecture Records

Jun 17

Jun 19

Jun 24

Jun 26

Jul 3

Jul 8

Jul 10

Jul 15

Jul 17

Jul 22

Jul 24

Jul 29

Jul 31

Aug 5

Aug 7

Aug 12

Aug 14

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

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

Summative 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

Summative 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