# Calculus Syllabus Resource & Lesson Plans

• Course type: Self-paced
• Available Lessons: 106
• Average Lesson Length: 8 min
• Eligible for Certificate: Yes

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### Course Summary

This Calculus Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach calculus. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.
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#### 13 chapters in Calculus Syllabus Resource & Lesson Plans

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 13)}}
Ch 1. Graphing & Functions: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34831].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Function: Basics and Key Terms
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Lesson 2 - Graphing Basic Functions
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Lesson 3 - Compounding Functions and Graphing Functions of Functions
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Lesson 4 - Understanding and Graphing the Inverse Function
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Lesson 5 - Polynomial Functions: Properties and Factoring
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Lesson 6 - Polynomial Functions: Exponentials and Simplifying
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Lesson 7 - Exponentials, Logarithms & the Natural Log
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Lesson 8 - Slopes and Tangents on a Graph
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Lesson 9 - Equation of a Line Using Point-Slope Formula
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Lesson 10 - Horizontal and Vertical Asymptotes
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Lesson 11 - Implicit Functions
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Week {{::cp.getGoalWeekForTopic(1, 13)}}
Ch 2. Continuity: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34832].percentComplete}}% complete
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Lesson 1 - Continuity in a Function
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Lesson 2 - Discontinuities in Functions and Graphs
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Lesson 3 - Regions of Continuity in a Function
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Lesson 4 - Intermediate Value Theorem: Definition
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Lesson 5 - Intermediate Value Theorem: Examples and Applications
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Week {{::cp.getGoalWeekForTopic(2, 13)}}
Ch 3. Geometry & Trigonometry: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34833].percentComplete}}% complete
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Lesson 1 - How to Solve Visualizing Geometry Problems
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Lesson 2 - How to Calculate the Volumes of Basic Shapes
Score: {{cp.lessonAssetIdToProgress[174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[174].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Finding Distance with the Pythagorean Theorem
Score: {{cp.lessonAssetIdToProgress[175].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[175].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Trigonometry: Sine and Cosine
Score: {{cp.lessonAssetIdToProgress[176].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[176].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Trigonometry and the Pythagorean Theorem
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Week {{::cp.getGoalWeekForTopic(3, 13)}}
Ch 4. Using Scientific Calculators: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34834].percentComplete}}% complete
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Lesson 1 - Radians & Degrees on the CLEP Scientific Calculator
Score: {{cp.lessonAssetIdToProgress[179].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[179].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Trigonometry Functions & Exponentials on the CLEP Calculator
Score: {{cp.lessonAssetIdToProgress[180].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[180].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Solving Equations on the CLEP Scientific Calculator
Score: {{cp.lessonAssetIdToProgress[181].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[181].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Solve Equations by Graphing on the CLEP Scientific Calculator
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Week {{::cp.getGoalWeekForTopic(4, 13)}}
Ch 5. Limits: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34835].percentComplete}}% complete
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Lesson 1 - Using a Graph to Define Limits
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Lesson 2 - Understanding Limits: Using Notation
Score: {{cp.lessonAssetIdToProgress[185].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[185].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - One-Sided Limits and Continuity
Score: {{cp.lessonAssetIdToProgress[186].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[186].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Determine the Limits of Functions
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Lesson 5 - Understanding the Properties of Limits
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Lesson 6 - Squeeze Theorem: Definition and Examples
Score: {{cp.lessonAssetIdToProgress[189].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[189].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Graphs and Limits: Defining Asymptotes and Infinity
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Week {{::cp.getGoalWeekForTopic(5, 13)}}
Ch 6. Rate of Change: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34836].percentComplete}}% complete
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Lesson 1 - Velocity and the Rate of Change
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Lesson 2 - Slopes and Rate of Change
Score: {{cp.lessonAssetIdToProgress[193].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[193].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - What is the Mean Value Theorem?
Score: {{cp.lessonAssetIdToProgress[194].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[194].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Rolle's Theorem: A Special Case of the Mean Value Theorem
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Lesson 5 - Derivatives: The Formal Definition
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Lesson 6 - Derivatives: Graphical Representations
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Lesson 7 - What It Means To Be 'Differentiable'
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Lesson 8 - Slope Lesson Plan
Lesson 9 - What is Slope? - Definition & Formulas
Score: {{cp.lessonAssetIdToProgress[3745].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3745].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 13)}}
Ch 7. Calculating Derivatives: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34837].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Using Limits to Calculate the Derivative
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Lesson 2 - The Linear Properties of a Derivative
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Lesson 3 - Calculating Derivatives of Trigonometric Functions
Score: {{cp.lessonAssetIdToProgress[212].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[212].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Calculating Derivatives of Polynomial Equations
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Lesson 5 - Calculating Derivatives of Exponential Equations
Score: {{cp.lessonAssetIdToProgress[204].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[204].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Using the Chain Rule to Differentiate Complex Functions
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Lesson 7 - Differentiating Factored Polynomials: Product Rule and Expansion
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Lesson 8 - When to Use the Quotient Rule for Differentiation
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Lesson 9 - Understanding Higher Order Derivatives Using Graphs
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Lesson 10 - Calculating Higher Order Derivatives
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Lesson 11 - How to Find Derivatives of Implicit Functions
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Lesson 12 - How to Calculate Derivatives of Inverse Trigonometric Functions
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Lesson 13 - Applying the Rules of Differentiation to Calculate Derivatives
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Week {{::cp.getGoalWeekForTopic(7, 13)}}
Ch 8. Derivative Graphs & L'Hopital's Rule: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34838].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Graphing the Derivative from Any Function
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Lesson 2 - Non Differentiable Graphs of Derivatives
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Lesson 3 - How to Determine Maximum and Minimum Values of a Graph
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Lesson 4 - Using Differentiation to Find Maximum and Minimum Values
Score: {{cp.lessonAssetIdToProgress[218].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[218].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Concavity and Inflection Points on Graphs
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Lesson 6 - Understanding Concavity and Inflection Points with Differentiation
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Lesson 7 - Data Mining: Function Properties from Derivatives
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Lesson 8 - Data Mining: Identifying Functions From Derivative Graphs
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Lesson 9 - What is L'Hopital's Rule?
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Lesson 10 - Applying L'Hopital's Rule in Simple Cases
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Lesson 11 - Applying L'Hopital's Rule in Complex Cases
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Week {{::cp.getGoalWeekForTopic(8, 13)}}
Ch 9. Applications of Derivatives: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34839].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Linearization of Functions
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Lesson 2 - How to Estimate Function Values Using Linearization
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Lesson 3 - What is Newton's Method?
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Lesson 4 - How to Use Newton's Method to Find Roots of Equations
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Lesson 5 - Optimization and Differentiation
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Lesson 6 - Optimizing Simple Systems
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Lesson 7 - Optimizing Complex Systems
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Week {{::cp.getGoalWeekForTopic(9, 13)}}
Ch 10. Area Under the Curve & Integrals: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34840].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Summation Notation and Mathematical Series
Score: {{cp.lessonAssetIdToProgress[636].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[636].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Use Riemann Sums for Functions and Graphs
Score: {{cp.lessonAssetIdToProgress[237].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[237].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Identify and Draw Left, Right and Middle Riemann Sums
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Lesson 4 - What is the Trapezoid Rule?
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Lesson 5 - How to Find the Limits of Riemann Sums
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Lesson 6 - Definite Integrals: Definition
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Lesson 7 - How to Use Riemann Sums to Calculate Integrals
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Lesson 8 - Linear Properties of Definite Integrals
Score: {{cp.lessonAssetIdToProgress[244].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[244].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Average Value Theorem
Score: {{cp.lessonAssetIdToProgress[245].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[245].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - The Fundamental Theorem of Calculus
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Lesson 11 - Indefinite Integrals as Anti Derivatives
Score: {{cp.lessonAssetIdToProgress[247].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[247].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - How to Find the Arc Length of a Function
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Week {{::cp.getGoalWeekForTopic(10, 13)}}
Ch 11. Integration: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34841].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Calculating Integrals of Simple Shapes
Score: {{cp.lessonAssetIdToProgress[249].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[249].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Anti-Derivatives: Calculating Indefinite Integrals of Polynomials
Score: {{cp.lessonAssetIdToProgress[250].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[250].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Calculate Integrals of Trigonometric Functions
Score: {{cp.lessonAssetIdToProgress[251].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[251].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Calculate Integrals of Exponential Functions
Score: {{cp.lessonAssetIdToProgress[252].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[252].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Solve Integrals Using Substitution
Score: {{cp.lessonAssetIdToProgress[254].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[254].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Substitution Techniques for Difficult Integrals
Score: {{cp.lessonAssetIdToProgress[255].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[255].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Using Integration By Parts
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Lesson 8 - Partial Fractions: How to Factorize Fractions with Quadratic Denominators
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Lesson 9 - How to Integrate Functions With Partial Fractions
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Lesson 10 - Understanding Trigonometric Substitution
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Lesson 11 - How to Use Trigonometric Substitution to Solve Integrals
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Lesson 12 - How to Solve Improper Integrals
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Week {{::cp.getGoalWeekForTopic(11, 13)}}
Ch 12. Integration Applications: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34842].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Integration and Dynamic Motion
Score: {{cp.lessonAssetIdToProgress[263].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[263].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Find Simple Areas With Root Finding and Integration
Score: {{cp.lessonAssetIdToProgress[264].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[264].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Find Area Between Functions With Integration
Score: {{cp.lessonAssetIdToProgress[265].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[265].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Calculate Volumes Using Single Integrals
Score: {{cp.lessonAssetIdToProgress[266].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[266].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Find Volumes of Revolution With Integration
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Week {{::cp.getGoalWeekForTopic(12, 13)}}
Ch 13. Differential Equations: Calculus Lesson Plans {{cp.topicAssetIdToProgress[34843].percentComplete}}% complete
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Lesson 1 - Differential Notation in Physics
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Lesson 2 - Separation of Variables to Solve System Differential Equations
Score: {{cp.lessonAssetIdToProgress[270].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[270].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Calculating Rate and Exponential Growth: The Population Dynamics Problem
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Lesson 4 - Related Rates: The Draining Tank Problem
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Lesson 5 - Related Rates: The Distance Between Moving Points Problem
Score: {{cp.lessonAssetIdToProgress[273].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[273].bestScoreQuestions}}  Take Quiz Optional

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