Calculus I (2022-2023)

Course Modules

Zoom Link

Zoom Link Zoom Link

External Url

🤝 Zoom Link! 🤝 Zoom Link! 1

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Getting Started

Getting Started Getting Started

Complete All Items

Context Module Sub Header

Welcome! 1

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Page

About Me About Me 2

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Being Successful in this Course Being Successful in this Course 3

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Getting Started with Canvas Getting Started with Canvas 4

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Page

Canvas Quick Links Canvas Quick Links 5

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Online Learning Resources Online Learning Resources 6

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Context Module Sub Header

Digital Setup 7

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Assignment

How to enter answers online! How to enter answers online! 11 8

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Assignment

Khan Academy Setup Khan Academy Setup 5 9

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Assignment

Add Canvas app to phone Add Canvas app to phone 5 10

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Assignment

Update Canvas Profile Update Canvas Profile 5 11

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Assignment

DeltaMath Login DeltaMath Login 5 12

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Assignment

Diagnostic Diagnostic 0 13

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Assignment

Register for Desmos and Complete Two Tasks! Register for Desmos and Complete Two Tasks! 30 14

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Assignment

Syllabus Signature and Video Syllabus Signature and Video 20 15

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Module 1: Prerequisites --> Functions Review

Module 1: Prerequisites --> Functions Review Module 1: Prerequisites --> Functions Review

External Url

1 Introduction 1 Introduction 1

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External Url

📘 Review of Functions 📘 Review of Functions 2

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Page

▶️ 1.1 Review of Functions Videos ▶️ 1.1 Review of Functions Videos 3

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Assignment

Exercise 1.1: Review of Functions Exercise 1.1: Review of Functions 31 4

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External Url

📘 1.2 Basic Classes of Functions 📘 1.2 Basic Classes of Functions 5

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Page

▶️ 1.2 Basic Classes of Functions Videos ▶️ 1.2 Basic Classes of Functions Videos 6

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Assignment

Exercise 1.2: Basic Classes of Functions Exercise 1.2: Basic Classes of Functions 30 7

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Assignment

CW: What's My Transformation CW: What's My Transformation 25 8

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Assignment

💻 DeltaMath: Transformations of Functions 💻 DeltaMath: Transformations of Functions 37 9

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Assignment

💻 KA: Transformations of Functions 💻 KA: Transformations of Functions 30 10

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Assignment

💻 KA: Transformations of Functions Unit Test 💻 KA: Transformations of Functions Unit Test 9 11

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External Url

📘 1.3 Trigonometric Functions 📘 1.3 Trigonometric Functions 12

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Page

▶️ 1.3 Trigonometric Functions Videos ▶️ 1.3 Trigonometric Functions Videos 13

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Assignment

Unit Circle Review Unit Circle Review 10 14

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Assignment

Trigonometric Skills Practice 1 Trigonometric Skills Practice 1 34 15

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Assignment

Exercise 1.3: Trigonometric Functions Exercise 1.3: Trigonometric Functions 20 16

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External Url

📘 1.4 Inverse Functions 📘 1.4 Inverse Functions 17

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Page

▶️ 1.4 Inverse Functions Videos ▶️ 1.4 Inverse Functions Videos 18

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Assignment

💻DeltaMath: Inverse and Operations with Functions Practice 💻DeltaMath: Inverse and Operations with Functions Practice 30 19

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Assignment

Exercise 1.4: Inverse Functions Exercise 1.4: Inverse Functions 18 20

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External Url

📘 1.5 Exponential and Logarithmic Functions 📘 1.5 Exponential and Logarithmic Functions 21

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▶️ 1.5 Exponential and Logarithmic Functions Videos ▶️ 1.5 Exponential and Logarithmic Functions Videos 22

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Assignment

Exercise 1.5: Exponential and Logarithmic Functions Exercise 1.5: Exponential and Logarithmic Functions 24 23

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Assignment

💻 KA: Inverse Functions and Composition 💻 KA: Inverse Functions and Composition 19 24

assignment 83266 1

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Assignment

Chapter 1: Review of Functions Assessment Chapter 1: Review of Functions Assessment 56 25

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Module 2: Limits

Module 2: Limits Module 2: Limits

External Url

📘 2 Introduction 📘 2 Introduction 1

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External Url

📘 2.1 A Preview of Calculus 📘 2.1 A Preview of Calculus 2

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Page

▶️ 2.1 A Preview of Calculus Videos ▶️ 2.1 A Preview of Calculus Videos 3

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Assignment

Khan Academy: Limits Part 1 Khan Academy: Limits Part 1 12 4

assignment 83872 1

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Assignment

Exercise 2.1: A Preview of Calculus Exercise 2.1: A Preview of Calculus 100 5

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External Url

📘 2.2 The Limit of a Function 📘 2.2 The Limit of a Function 6

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▶️ 2.2 The Limit of a Function Videos ▶️ 2.2 The Limit of a Function Videos 7

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Assignment

💻 Desmos: Intro to Limits 💻 Desmos: Intro to Limits 15 8

assignment 78979 1

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Assignment

💻 DeltaMath: Limits with Graphs and Tables 💻 DeltaMath: Limits with Graphs and Tables 24 9

assignment 78980 1

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Assignment

💻 KA: Linear Equations Review 💻 KA: Linear Equations Review 32 10

assignment 83651 1

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Assignment

💻Khan Academy: Limits Part 2 💻Khan Academy: Limits Part 2 35 11

assignment 78985 1

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Assignment

Exercise 2.2: The Limit of a Function Exercise 2.2: The Limit of a Function 120 12

assignment 78981 1

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External Url

📘 2.3 The Limit Laws 📘 2.3 The Limit Laws 13

external_url 78982 0

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Page

▶️ 2.3 The Limit Laws Videos ▶️ 2.3 The Limit Laws Videos 14

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Assignment

Exercise 2.3: The Limit Laws Exercise 2.3: The Limit Laws 160 15

assignment 78984 1

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Assignment

💻 Khan Academy: Limits Part 3 💻 Khan Academy: Limits Part 3 34 16

assignment 78986 1

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Assignment

💻 Khan Academy: Limits Part 4 💻 Khan Academy: Limits Part 4 8 17

assignment 84124 1

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External Url

2.4 Continuity 2.4 Continuity 18

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Page

▶️ 2.4 Continuity Videos ▶️ 2.4 Continuity Videos 19

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Assignment

DeltaMath: Continuity DeltaMath: Continuity 20 20

assignment 78991 1

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Assignment

Exercise 2.4: Continuity Exercise 2.4: Continuity 130 21

assignment 78990 1

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Assignment

KA: Continuity and Discontinuity KA: Continuity and Discontinuity 30 22

assignment 78992 1

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External Url

2.5 The Precise Definition of a Limit 2.5 The Precise Definition of a Limit 23

external_url 78994 0

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Page

▶️2.5 The Precise Definition of a Limit Videos ▶️2.5 The Precise Definition of a Limit Videos 24

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Assignment

Bonus Exercise 2.5: The Precise Definition of a Limit Bonus Exercise 2.5: The Precise Definition of a Limit 0 25

assignment 78996 1

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Assignment

Module 2 Analytic Assessment Module 2 Analytic Assessment 100 26

assignment 78998 1

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Assignment

💻KA: Limits and Continuity Test 💻KA: Limits and Continuity Test 30 28

assignment 79000 1

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Assignment

Module 2 Assessment: Limits Module 2 Assessment: Limits 24 29

assignment 78997 1

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Module 3: Derivatives

Module 3: Derivatives Module 3: Derivatives

External Url

📘 3 Introduction 📘 3 Introduction 1

external_url 79001 0

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External Url

📘 3.1 Defining the Derivative 📘 3.1 Defining the Derivative 2

external_url 79002 0

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Page

▶️ 3.1 Defining the Derivative Videos ▶️ 3.1 Defining the Derivative Videos 3

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Page

💡Summary - Limit Definition of Derivative at a Point 💡Summary - Limit Definition of Derivative at a Point 4

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Assignment

Exercise 3.1: Defining the Derivative Exercise 3.1: Defining the Derivative 160 5

assignment 79005 1

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Assignment

💻DeltaMath: Definition of Derivative 💻DeltaMath: Definition of Derivative 15 6

assignment 79006 1

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Assignment

💻KA: Exponents and Radicals 1 💻KA: Exponents and Radicals 1 24 7

assignment 79007 1

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External Url

📘 3.2 The Derivative as a Function 📘 3.2 The Derivative as a Function 8

external_url 79008 0

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Page

▶️ 3.2 The Derivative as a Function Videos ▶️ 3.2 The Derivative as a Function Videos 9

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Page

💡Summary - Derivative function 💡Summary - Derivative function 10

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Assignment

Exercise 3.2: The Derivative as a Function Exercise 3.2: The Derivative as a Function 170 11

assignment 79011 1

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Assignment

💻KA: Exponents and Radicals 2 💻KA: Exponents and Radicals 2 19 12

assignment 79012 1

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External Url

📘 3.3 Differentiation Rules 📘 3.3 Differentiation Rules 15

external_url 79015 0

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Page

▶️ 3.3 Differentiation Rules Videos ▶️ 3.3 Differentiation Rules Videos 16

wiki_page 79016 0

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Page

💡Summary: Power rule of Differentiation 💡Summary: Power rule of Differentiation 17

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Page

💡Summary - Find Derivatives of Sums, Differences and Constant Multiples 💡Summary - Find Derivatives of Sums, Differences and Constant Multiples 18

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Assignment

💻 DeltaMath: Power Rule 💻 DeltaMath: Power Rule 40 19

assignment 79019 1

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Assignment

💻KA: Derivatives, Part 1 💻KA: Derivatives, Part 1 12 20

assignment 79020 1

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Assignment

💻KA: Derivatives Quiz 1 💻KA: Derivatives Quiz 1 7 21

assignment 79021 1

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Assignment

💻KA: Derivatives, Part 2 💻KA: Derivatives, Part 2 12 22

assignment 79022 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

💻KA: Derivatives Quiz 2 💻KA: Derivatives Quiz 2 7 23

assignment 79023 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

💻KA: Derivatives, Part 3 💻KA: Derivatives, Part 3 8 24

assignment 79024 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

🎞 Product and Quotient Rule Video Example 🎞 Product and Quotient Rule Video Example 25

wiki_page 79025 0

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Page

💡Summary - Product Rule of Differentiation 💡Summary - Product Rule of Differentiation 26

wiki_page 79026 0

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Page

💡Summary - Quotient Rule of Differentiation 💡Summary - Quotient Rule of Differentiation 27

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Assignment

DeltaMath: Product and Quotient Rule DeltaMath: Product and Quotient Rule 15 28

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Assignment

Exercise 3.3: Differentiation Rules Exercise 3.3: Differentiation Rules 200 29

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External Url

📘 3.4 Derivatives as Rates of Change 📘 3.4 Derivatives as Rates of Change 30

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▶️3.4 Derivatives as Rates of Change Videos ▶️3.4 Derivatives as Rates of Change Videos 31

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Assignment

Exercise 3.4: Derivatives as Rates of Changes Exercise 3.4: Derivatives as Rates of Changes 100 32

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External Url

📘 3.5 Derivatives of Trigonometric Functions 📘 3.5 Derivatives of Trigonometric Functions 33

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▶️ 3.5 Derivatives of Trigonometric Functions Videos ▶️ 3.5 Derivatives of Trigonometric Functions Videos 34

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Assignment

Exercise 3.5: Derivatives as Trigonometric Functions Exercise 3.5: Derivatives as Trigonometric Functions 180 35

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External Url

📘 3.6 The Chain Rule 📘 3.6 The Chain Rule 36

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▶️ 3.6 The Chain Rule Videos ▶️ 3.6 The Chain Rule Videos 37

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💡Summary: Chain Rule of Differentiation 💡Summary: Chain Rule of Differentiation 38

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Assignment

Exercise 3.6: The Chain Rule Exercise 3.6: The Chain Rule 290 39

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Assignment

Chain Rule (DeltaMath) Chain Rule (DeltaMath) 25 40

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Assignment

Bonus: Exercise 3.7 Derivatives of Inverse Functions Bonus: Exercise 3.7 Derivatives of Inverse Functions 0 43

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External Url

📘 3.8 Implicit Differentiation 📘 3.8 Implicit Differentiation 45

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▶️ 3.8 Implicit Differentiation Videos ▶️ 3.8 Implicit Differentiation Videos 46

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Assignment

Exercise 3.8: Implicit Differentiation Exercise 3.8: Implicit Differentiation 140 47

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Assignment

💻 Implicit Differentiation (DeltaMath) 💻 Implicit Differentiation (DeltaMath) 22 48

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Assignment

💻KA: Chain Rule and Implicit Functions 💻KA: Chain Rule and Implicit Functions 20 49

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External Url

📘 3.9 Derivatives of Exponential and Logarithmic Functions 📘 3.9 Derivatives of Exponential and Logarithmic Functions 50

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▶️ 3.9 Derivatives of Exponential and Logarithmic Functions ▶️ 3.9 Derivatives of Exponential and Logarithmic Functions 51

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Exercise 3.9: Derivatives of Exponential and Logarithmic Functions Exercise 3.9: Derivatives of Exponential and Logarithmic Functions 130 52

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Assignment

Review Assignment 1 Review Assignment 1 60 54

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Derivatives by Multiple Rules Review Derivatives by Multiple Rules Review 260 55

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Multiple Derivative Rules Assessment Multiple Derivative Rules Assessment 260 56

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Assignment

💻KA: More Strategies 💻KA: More Strategies 16 58

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Assignment

💻KA: Differentiation Assessments 💻KA: Differentiation Assessments 26 59

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Module 4: Applications of Derivatives

Module 4: Applications of Derivatives Module 4: Applications of Derivatives

Context Module Sub Header

Big Ideas, Textbook, and Next Steps 1

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Alert: Textbook vs. AP Alert: Textbook vs. AP 2

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KA: Interpreting Derivatives KA: Interpreting Derivatives 23 3

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Assignment

💻DeltaMath: Particle Motion 💻DeltaMath: Particle Motion 10 4

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Context Module Sub Header

Chapter Readings 6

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External Url

4 Introduction 4 Introduction 7

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External Url

4.1 Related Rates 4.1 Related Rates 8

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▶️ 4.1 Related Rates Videos ▶️ 4.1 Related Rates Videos 9

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4.1 Related Rates Assignment 4.1 Related Rates Assignment 120 10

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Assignment

KA: Related Rates, Part 1 KA: Related Rates, Part 1 18 11

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KA: Related Rates, Part 2 KA: Related Rates, Part 2 18 12

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Assignment

DeltaMath: Related Rates DeltaMath: Related Rates 24 13

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External Url

4.2 Linear Approximations and Differentials 4.2 Linear Approximations and Differentials 14

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▶️ 4.2 Linear Approximation and Differentials Videos ▶️ 4.2 Linear Approximation and Differentials Videos 15

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KA: Approximation with Local Linearity KA: Approximation with Local Linearity 4 16

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Assignment

💻 DeltaMath: Linear Approximation 💻 DeltaMath: Linear Approximation 5 17

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Assignment

4.2 Linear Approximation and Differentials Assignment 4.2 Linear Approximation and Differentials Assignment 140 18

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External Url

4.4 The Mean Value Theorem 4.4 The Mean Value Theorem 23

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▶️ 4.4 The Mean Value Theorem Videos ▶️ 4.4 The Mean Value Theorem Videos 24

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💻 KA: Mean Value Theorem 💻 KA: Mean Value Theorem 20 25

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4.4 Mean Value Theorem Assignment 4.4 Mean Value Theorem Assignment 110 26

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External Url

4.3 Maxima and Minima 4.3 Maxima and Minima 27

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▶️ 4.3 Maxima and Minima Videos ▶️ 4.3 Maxima and Minima Videos 28

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💻 Delta Math: Function Features #1 💻 Delta Math: Function Features #1 20 29

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💻 Desmos: Exploring Graphs of Derivatives 💻 Desmos: Exploring Graphs of Derivatives 20 30

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4.3 Maxima and Minima Assignment 4.3 Maxima and Minima Assignment 160 31

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💻 DeltaMath: Functions Features #2 💻 DeltaMath: Functions Features #2 16 32

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External Url

4.5 Derivatives and the Shape of a Graph 4.5 Derivatives and the Shape of a Graph 33

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▶️ 4.5 Derivatives and the Shape of a Graph Videos ▶️ 4.5 Derivatives and the Shape of a Graph Videos 34

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💻 Desmos: Second Derivative 💻 Desmos: Second Derivative 20 35

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💻KA: Applying Derivatives to Analyze Functions 1 💻KA: Applying Derivatives to Analyze Functions 1 24 36

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💻 DeltaMath: Function Features #3 💻 DeltaMath: Function Features #3 35 37

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💻KA: Applying Derivatives to Analyze Functions 2 💻KA: Applying Derivatives to Analyze Functions 2 32 38

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4.5 Derivatives and the Shape of a Graph Assignment 4.5 Derivatives and the Shape of a Graph Assignment 180 39

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💻 DeltaMath: Function Features #4 💻 DeltaMath: Function Features #4 25 40

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External Url

4.6 Limits at Infinity and Asymptotes 4.6 Limits at Infinity and Asymptotes 41

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▶️ 4.6 Limits at Infinity and Asymptotes Videos ▶️ 4.6 Limits at Infinity and Asymptotes Videos 42

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4.6 Limits at Infinity and Asymptotes Assignment 4.6 Limits at Infinity and Asymptotes Assignment 150 43

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External Url

4.7 Applied Optimization Problems 4.7 Applied Optimization Problems 44

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▶️ 4.7 Applied Optimization Problems Videos ▶️ 4.7 Applied Optimization Problems Videos 45

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4.7 Applied Optimization Problems Assignment 4.7 Applied Optimization Problems Assignment 120 46

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💻 KA: Optimization Problems 💻 KA: Optimization Problems 13 47

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Optimization Problems x5 Optimization Problems x5 50 48

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External Url

4.9 Newton’s Method 4.9 Newton’s Method 49

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▶️ 4.9 Newtons Methods Videos ▶️ 4.9 Newtons Methods Videos 50

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▶️ 4.10 Antiderivatives Videos ▶️ 4.10 Antiderivatives Videos 51

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💻KA: Applications of Derivatives Unit Test 💻KA: Applications of Derivatives Unit Test 18 52

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Module 5: Integration

Module 5: Integration Module 5: Integration

Context Module Sub Header

Chapter Readings 1

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External Url

4.10 Antiderivatives 4.10 Antiderivatives 2

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▶️ 4.10 Antiderivative Videos ▶️ 4.10 Antiderivative Videos 3

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💻 DeltaMath: Antiderivatives 💻 DeltaMath: Antiderivatives 20 4

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4.10 Antiderivatives Assignment 4.10 Antiderivatives Assignment 160 5

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External Url

5 Introduction 5 Introduction 6

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External Url

5.1 Approximating Areas 5.1 Approximating Areas 7

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▶️ 5.1 Approximating Areas Videos ▶️ 5.1 Approximating Areas Videos 8

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💻 KA: Accumulation of Change 💻 KA: Accumulation of Change 4 9

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💻 DeltaMath: Sigma Notation 💻 DeltaMath: Sigma Notation 15 10

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Assignment 5.1 Approximating Areas Assignment 5.1 Approximating Areas 110 12

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External Url

5.2 The Definite Integral 5.2 The Definite Integral 13

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▶️ 5.2 The Definite Integral Videos ▶️ 5.2 The Definite Integral Videos 14

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Assignment

💻 DeltaMath: Writing Riemann Sums with Summation Notation 💻 DeltaMath: Writing Riemann Sums with Summation Notation 10 15

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Assignment

💻DeltaMath: Limits and Integration 💻DeltaMath: Limits and Integration 29 16

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📝 Assignment 5.2 The Definite Integral 📝 Assignment 5.2 The Definite Integral 160 18

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External Url

5.3 The Fundamental Theorem of Calculus 5.3 The Fundamental Theorem of Calculus 19

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▶️ The Fundamental Theorem of Calculus Videos ▶️ The Fundamental Theorem of Calculus Videos 20

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📝 5.3 The Fundamental Theorem of Calculus 📝 5.3 The Fundamental Theorem of Calculus 200 21

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💻 KA: FTC and Accumulation Functions 💻 KA: FTC and Accumulation Functions 12 22

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💻 KA: Properties of Definite Integrals Videos 💻 KA: Properties of Definite Integrals Videos 16 23

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External Url

5.4 Integration Formulas and the Net Change Theorem 5.4 Integration Formulas and the Net Change Theorem 24

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▶️5.4 Integration Rules and Net Value Theorem Videos ▶️5.4 Integration Rules and Net Value Theorem Videos 25

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💻KA: Using Rules to find Indefinite Integrals 💻KA: Using Rules to find Indefinite Integrals 24 26

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💻 DeltaMath: Finding Definite Integrals 💻 DeltaMath: Finding Definite Integrals 21 27

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📝Assignment 5.4 Integration Rules and Net Change 📝Assignment 5.4 Integration Rules and Net Change 140 29

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Calculus I (2022-2023)

Course Modules

Zoom Link

Getting Started

Welcome! 1

Digital Setup 7

Module 1: Prerequisites --> Functions Review

Module 2: Limits

Module 3: Derivatives

Module 4: Applications of Derivatives

Big Ideas, Textbook, and Next Steps 1

Chapter Readings 6

Module 5: Integration

Chapter Readings 1