Calculus AB & BC

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Course curriculum

1. Unit Circle Review
  FREE PREVIEW
2. Calculator Tips for the AP Exam
1. Unit 1 Module Notes
  FREE PREVIEW
2. Section 1: Understanding Graphical Limits
  FREE PREVIEW
3. Section 2: Limits of Piecewise Functions
  FREE PREVIEW
4. Section 3: Solving Limits Analytically
  FREE PREVIEW
5. Section 4: Strange Limits with Function Combinations
  FREE PREVIEW
6. Section 5: Limits at Infinity (Horizontal Asymptotes)
  FREE PREVIEW
7. Section 5B: Vertical Asymptotes
  FREE PREVIEW
8. Section 6: Special Trig Limits
  FREE PREVIEW
9. Section 7: Squeeze Theorem
  FREE PREVIEW
10. Section 8: Continuity
  FREE PREVIEW
11. Section 9: Intermediate Value Theorem
  FREE PREVIEW
12. Section 10: Epsilon Delta Definition of Limit (Not an AP Topic)
13. Unit 1 MCQ
1. Unit 2 Note Packet
  FREE PREVIEW
2. Section 1: Using the Definition of the Derivative
  FREE PREVIEW
3. Section 1B: Differentiability
  FREE PREVIEW
4. Section 2: Power Rule
  FREE PREVIEW
5. Section 3: Derivatives of Other Functions
  FREE PREVIEW
6. Section 4: Product Rule and Quotient Rule
  FREE PREVIEW
7. Section 5: Chain Rule
  FREE PREVIEW
8. Section 6: Tangent and Normal Lines
  FREE PREVIEW
9. Unit 2 MCQ (Product & Quotient Rule, Tangent Lines)
10. Section 7: Implicit Differentiation
  FREE PREVIEW
11. Section 8: Derivatives of Inverse Functions
  FREE PREVIEW
12. Section 9: Sketching f'(x)
  FREE PREVIEW
13. Unit 3 MCQ (Implicit Differentiation, Chain Rule)
1. Unit 3 Note Packet
  FREE PREVIEW
2. Section 1: Absolute and Relative Extrema
  FREE PREVIEW
3. Section 2: Rolle's Theorem and Mean Value Theorem
  FREE PREVIEW
4. Section 3: Concavity and The Second Derivative Test
  FREE PREVIEW
5. Section 4: Related Rates
  FREE PREVIEW
6. Section 5: Optimization
  FREE PREVIEW
7. Section 6: Linear Approximation and Differentials
  FREE PREVIEW
8. Section 7: L'Hospital's Rule
  FREE PREVIEW
9. Section 8: Other Indeterminant Forms (BC Topic)
10. Unit 4 MCQ - Related Rates, Motion, L'Hopitals
11. Unit 5 MCQ - Optimization, Min Max, Concavity
1. Unit 4 Note Packet
  FREE PREVIEW
2. Section 1: Riemann Sums
  FREE PREVIEW
3. Section 2: Definition of the Integral
  FREE PREVIEW
4. Section 3: Antiderivatives
  FREE PREVIEW
5. Section 4: The Definite Integral
  FREE PREVIEW
6. Section 5: Derivatives of Integrals
  FREE PREVIEW
7. Section 6: U-Substitution (Part 1)
  FREE PREVIEW
8. Section 7: U-Substitution (Part 2)
9. Unit 6 MCQ
1. Unit 5 Note Packet
  FREE PREVIEW
2. Section 1: Average Value
  FREE PREVIEW
3. Section 2: Area Between Curves
  FREE PREVIEW
4. Section 3: Volume by Washer/Disk Method
5. Section 4: Volume by Shell Method (Not an AP Topic)
6. Section 5: Volume by Cross-Sectional Area
7. Unit 8 MCQ
1. Unit 7 Note Packet
  FREE PREVIEW
2. Section 1: Verifying Solutions
  FREE PREVIEW
3. Section 2: Slope Fields
  FREE PREVIEW
4. Section 3: Separation of Variables
  FREE PREVIEW
5. Section 4: Euler's Method (BC Topic)
6. Section 5: The Logistic Equation (BC Topic)
7. Unit 7 MCQ
8. Unit 7B MCQ - Euler's Method and Logistic Equation (BC Only)
1. Unit 8 Note Packet
  FREE PREVIEW
2. Section 1: Integration by Parts
3. Section 2: Partial Fraction Decomposition
4. Section 3: Improper Integrals
5. Section 4: Arc Length
6. Section 5: Trig Integrals (Not a BC Topic)
7. Section 6: Trig Substitution (Not a BC Topic)
8. Unit 6C MCQ - Advanced Integration Techniques (BC Only)
9. Unit 8C MCQ - Arc Length
1. Unit 9 Note Packet
  FREE PREVIEW
2. Section 1: Parametric Equations
3. Section 2: Derivatives of Parametric Equations
4. Section 3: Arc Length of Parametric Equations
5. Section 4: Polar Graphs
6. Section 5: Tangent Lines of Polar Equations
7. Section 6 & 7: Area and Arc Length
8. Unit 9 MCQ
1. Unit 10 Note Packet
  FREE PREVIEW
2. Section 1: nth Term Test
3. Section 2: p-Series Test
4. Section 3: Geometric Series
5. Section 4: Integral Test
6. Section 5: Comparison Tests (Limit and Direct)
7. Section 6: Ratio Test
8. Section 7: Root Test
9. Section 8: Alternating Series Test and Absolute Convergence
10. Section 9: Telescoping Series (Not an AP Topic)
11. Section 10: Practicing Tests of Convergence
12. Section 11: Radius and Interval of Convergence
13. Section 12: Taylor and Maclaurin Series
14. Section 13: Deriving Taylor Series
15. Unit 10 MCQ
16. Unit 10 MCQ - Solutions
1. Rate FRQs
  FREE PREVIEW
2. Rate FRQ (2023 #1)
3. Rate FRQ (2022 #1)
4. Rate FRQ (2019 #1)
5. Rate FRQ (2018 #1)
6. Rate FRQ (2017 #2)
1. Data Table FRQ Overview
  FREE PREVIEW
2. Data Table FRQ (2022 #4)
3. Data Table FRQ (2021 #1)
4. Data Table FRQ (2019 #2)
5. Data Table FRQ (2018 #4)
6. Data Table FRQ (2017 #1)
1. Interpreting Graph FRQ Overview
  FREE PREVIEW
2. Interpreting Graphs FRQ (2023 #4)
3. Interpreting Graph FRQ (2022 #3)
4. Interpreting Graph FRQ (2021 #4)
5. Interpreting Graph FRQ (2019 #3)
6. Interpreting Graphs FRQ (2018 #3)
7. Interpreting Graphs FRQ (2017 #3)
1. Applications of Integration FRQ Overview
  FREE PREVIEW
2. Applications of Integration FRQ (2022 #2)
3. Applications of Integration FRQ (2021 #3)
4. Applications of Integration FRQ (2019 #5)
1. Differential Equations FRQ Overview
  FREE PREVIEW
2. Differential Equations FRQ (2023 #3)
3. Differential Equations FRQ (2022 #5)
4. Differential Equations FRQ (2021 #6)
5. Differential Equations FRQ (2019 #4)
6. Differential Equations FRQ (2018 #6)
7. Differential Equation FRQ (2017 #5)
1. Motion FRQ Overview
  FREE PREVIEW
2. Motion FRQ (2023 #2)
3. Motion FRQ (2022 #6)
4. Motion FRQ (2021 #2)
5. Motion FRQ (2018 #2)
6. Motion FRQ (2017 #5)
1. General Calculus FRQ (2023 #5)
2. General Calculus FRQ (2023 #6)
3. General Calculus FRQ (2021 #5)
4. General Calculus FRQ (2019 #6)
5. General Calculus FRQ (2018 #5)
6. General Calculus FRQ (2017 #6)
1. General Calculus FRQ (2023 #5)
2. General Calculus FRQ (2022 #5)
3. General Calculus FRQ (2021 #5)
4. General Calculus FRQ (2019 #5)
5. General Calculus FRQ (2018 #2)
6. General Calculus FRQ (2017 #5)
1. Parametric FRQ (2023 #2)
2. Parametric FRQ (2022 #2)
3. Parametric FRQ (2021 #2)
1. Polar FRQ (2019 #2)
2. Polar FRQ (2018 #5)
3. Polar FRQ (2017 #2)
1. Series FRQ (2023 #6)
2. Series FRQ (2022 #6)
3. Series FRQ (2021 #6)
4. Series FRQ (2019 #6)
5. Series FRQ (2018 #6)
6. Series FRQ (2017 #5)
7. Series FRQ (2017 #6)

About this course

164 lessons
42.5 hours of video content

Calculus AB & BC

Course curriculum

Welcome!

Resources

Unit 1: Limits & Continuity

Unit 2: Differentiation

Unit 3: Applications of Differentiation

Unit 4: Integration

Unit 5: Applications of Integration

Unit 6: Interpreting Graphs & Motion

Unit 7: Differential Equations

Unit 8: Additional Integration Techniques (BC Only)

Unit 9: Parametric & Polar Equations

Unit 10: Tests of Convergence & Series

AP Free Response Type 1: Rates

AP Free Response Type 2: Data Tables

AP Free Response Type 3: Interpreting Graphs

AP Free Response Type 4: Applications of Integration

AP Free Response Type 5: Differential Equations

AP Free Response Type 6: Motion FRQ

AP Free Response Type 7: General Calculus

AP Free Response Type 8: General Calculus (BC)

AP Free Response Type 9: Parametric Equations

AP Free Response Type 10: Polar

AP Free Response Type 11: Series

About this course