AP Calculus AB & BC Textbook

• Course type: Self-paced
• Available Lessons: 137
• Average Lesson Length: 8 min
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• AP Calculus AB & BC Textbook Practice Test

Course Summary

This AP calculus AB & BC textbook replacement course covers all of the topics in a standard calculus AB & BC textbook. The lessons offer a convenient way for students to study, interactive materials for teachers to engage their classes, and an effective alternative to expensive or outdated textbooks.
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17 chapters in AP Calculus AB & BC Textbook

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Week {{::cp.getGoalWeekForTopic(0, 17)}}
Ch 1. Functions {{cp.topicAssetIdToProgress[647].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Functions: Identification, Notation & Practice Problems
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Lesson 2 - Transformations: How to Shift Graphs on a Plane
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Lesson 3 - What Is Domain and Range in a Function?
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Lesson 4 - How to Add, Subtract, Multiply and Divide Functions
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Lesson 5 - How to Compose Functions
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Lesson 6 - Inverse Functions
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Lesson 7 - Applying Function Operations Practice Problems
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Week {{::cp.getGoalWeekForTopic(1, 17)}}
Ch 2. Graphing and Functions {{cp.topicAssetIdToProgress[153].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
Score: {{cp.lessonAssetIdToProgress[155].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[155].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Understanding and Graphing the Inverse Function
Score: {{cp.lessonAssetIdToProgress[156].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[156].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Polynomial Functions: Properties and Factoring
Score: {{cp.lessonAssetIdToProgress[157].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[157].bestScoreQuestions}}  Take Quiz Optional
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(2, 17)}}
Ch 3. Limits {{cp.topicAssetIdToProgress[183].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Using a Graph to Define Limits
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Lesson 2 - Understanding Limits: Using Notation
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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
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Lesson 7 - Graphs and Limits: Defining Asymptotes and Infinity
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Week {{::cp.getGoalWeekForTopic(3, 17)}}
Ch 4. Continuity {{cp.topicAssetIdToProgress[166].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Continuity in a Function
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Lesson 2 - Discontinuities in Functions and Graphs
Score: {{cp.lessonAssetIdToProgress[168].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[168].bestScoreQuestions}}  Take Quiz Optional
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(4, 17)}}
Ch 5. Sequences and Series for Calculus {{cp.topicAssetIdToProgress[59122].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Mathematical Sequence?
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Lesson 2 - How to Find and Classify an Arithmetic Sequence
Score: {{cp.lessonAssetIdToProgress[634].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[634].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Finding and Classifying Geometric Sequences
Score: {{cp.lessonAssetIdToProgress[635].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[635].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Calculate an Arithmetic Series
Score: {{cp.lessonAssetIdToProgress[637].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[637].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Calculate a Geometric Series
Score: {{cp.lessonAssetIdToProgress[639].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[639].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Arithmetic and Geometric Series: Practice Problems
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Week {{::cp.getGoalWeekForTopic(5, 17)}}
Ch 6. Exponentials and Logarithms {{cp.topicAssetIdToProgress[617].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What Is an Exponential Function?
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Lesson 2 - Exponential Growth vs. Decay
Score: {{cp.lessonAssetIdToProgress[619].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[619].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - What is a Logarithm?
Score: {{cp.lessonAssetIdToProgress[621].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[621].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Evaluate Logarithms
Score: {{cp.lessonAssetIdToProgress[622].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[622].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Logarithmic Properties
Score: {{cp.lessonAssetIdToProgress[623].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[623].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Practice Problems for Logarithmic Properties
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Lesson 7 - How to Solve Exponential Equations
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Lesson 8 - How to Solve Logarithmic Equations
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Week {{::cp.getGoalWeekForTopic(6, 17)}}
Ch 7. Exponents and Polynomials {{cp.topicAssetIdToProgress[605].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What Are the Five Main Exponent Properties?
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Lesson 2 - How to Define a Zero and Negative Exponent
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Lesson 3 - How to Simplify Expressions with Exponents
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Lesson 4 - Rational Exponents
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Lesson 5 - Simplifying Expressions with Rational Exponents
Score: {{cp.lessonAssetIdToProgress[603].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[603].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Graph Cubics, Quartics, Quintics and Beyond
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Lesson 7 - How to Add, Subtract and Multiply Polynomials
Score: {{cp.lessonAssetIdToProgress[606].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[606].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Divide Polynomials with Long Division
Score: {{cp.lessonAssetIdToProgress[607].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[607].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Use Synthetic Division to Divide Polynomials
Score: {{cp.lessonAssetIdToProgress[608].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[608].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Dividing Polynomials with Long and Synthetic Division: Practice Problems
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Week {{::cp.getGoalWeekForTopic(7, 17)}}
Ch 8. Applications of Derivatives {{cp.topicAssetIdToProgress[227].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
Score: {{cp.lessonAssetIdToProgress[231].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[231].bestScoreQuestions}}  Take Quiz Optional
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(8, 17)}}
Ch 9. Calculating Derivatives and Derivative Rules {{cp.topicAssetIdToProgress[205].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
Score: {{cp.lessonAssetIdToProgress[203].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[203].bestScoreQuestions}}  Take Quiz Optional
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
Score: {{cp.lessonAssetIdToProgress[206].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[206].bestScoreQuestions}}  Take Quiz Optional
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
Score: {{cp.lessonAssetIdToProgress[202].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[202].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Applying the Rules of Differentiation to Calculate Derivatives
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Lesson 14 - Optimization Problems in Calculus: Examples & Explanation
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Week {{::cp.getGoalWeekForTopic(9, 17)}}
Ch 10. Differential Equations {{cp.topicAssetIdToProgress[268].percentComplete}}% complete
Course Progress Best Score
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
Score: {{cp.lessonAssetIdToProgress[271].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[271].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Related Rates: The Draining Tank Problem
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Lesson 5 - Related Rates: The Distance Between Moving Points Problem
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Week {{::cp.getGoalWeekForTopic(10, 17)}}
Ch 11. Area Under the Curve and Integrals {{cp.topicAssetIdToProgress[241].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
Score: {{cp.lessonAssetIdToProgress[238].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[238].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What is the Trapezoid Rule?
Score: {{cp.lessonAssetIdToProgress[239].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[239].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Find the Limits of Riemann Sums
Score: {{cp.lessonAssetIdToProgress[240].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[240].bestScoreQuestions}}  Take Quiz Optional
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
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Lesson 12 - How to Find the Arc Length of a Function
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Week {{::cp.getGoalWeekForTopic(11, 17)}}
Ch 12. Graphing Derivatives and L'Hopital's Rule {{cp.topicAssetIdToProgress[214].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Graphing the Derivative from Any Function
Score: {{cp.lessonAssetIdToProgress[215].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[215].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Non Differentiable Graphs of Derivatives
Score: {{cp.lessonAssetIdToProgress[216].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[216].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Determine Maximum and Minimum Values of a Graph
Score: {{cp.lessonAssetIdToProgress[217].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[217].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Using Differentiation to Find Maximum and Minimum Values
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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
Score: {{cp.lessonAssetIdToProgress[221].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[221].bestScoreQuestions}}  Take Quiz Optional
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(12, 17)}}
Ch 13. Integration and Integration Techniques {{cp.topicAssetIdToProgress[253].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
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Lesson 7 - Using Integration By Parts
Score: {{cp.lessonAssetIdToProgress[256].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[256].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Partial Fractions: How to Factorize Fractions with Quadratic Denominators
Score: {{cp.lessonAssetIdToProgress[257].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[257].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Integrate Functions With Partial Fractions
Score: {{cp.lessonAssetIdToProgress[258].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[258].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Understanding Trigonometric Substitution
Score: {{cp.lessonAssetIdToProgress[259].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[259].bestScoreQuestions}}  Take Quiz Optional
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(13, 17)}}
Ch 14. Integration Applications {{cp.topicAssetIdToProgress[262].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Integration and Dynamic Motion
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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
Score: {{cp.lessonAssetIdToProgress[267].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[267].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(14, 17)}}
Ch 15. Rate of Change {{cp.topicAssetIdToProgress[191].percentComplete}}% complete
Course Progress Best Score
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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Week {{::cp.getGoalWeekForTopic(15, 17)}}
Ch 16. Geometry and Trigonometry {{cp.topicAssetIdToProgress[172].percentComplete}}% complete
Course Progress Best Score
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 - Volume of a Frustum of Pyramids & Cones
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Lesson 4 - Volume Formulas for Pyramids, Prisms, Cones & Cylinders
Score: {{cp.lessonAssetIdToProgress[61222].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[61222].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Finding Distance with the Pythagorean Theorem
Score: {{cp.lessonAssetIdToProgress[175].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[175].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Trigonometry: Sine and Cosine
Score: {{cp.lessonAssetIdToProgress[176].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[176].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Trigonometry and the Pythagorean Theorem
Score: {{cp.lessonAssetIdToProgress[177].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[177].bestScoreQuestions}}  Take Quiz Optional

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