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AP Calculus (BC) Exam Prep Course
AP Exam Prep
Course Overview
Lessons & Practice
I. Welcome
1. Review: Functions/Pre-Calculus
3hr2. Limits & Continuity (Exam Weighting: 4-7%)
1.8hr- 2.I. AP Calculus Unit 1 Summary
2.14.1. One-sided Limits2.14.2. Limits2.14.3. Special Limits4 min2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits3 min2.14.12. IVT2.14.13. IVT2.14.14. IVT5 min2.14.15. Fundamental Trig Limit5 min2.14.16. Fundamental Trig Limit3 min2.14.17. Squeeze Theorem1 min2.14.18. Squeeze Theorem4 min2.14.19. Squeeze Theorem2.14.20. Continuity
3. Differentiation 1: Basics & Fundamental Properties (Exam Weighting: 4-7%)
1.7hr- 3.I. AP Calculus Unit 2 Summary
3.11.1. Derivative by Definition3.11.2. Basic Derivatives3.11.3. Basic Derivatives1 min3.11.4. Derivative by Definition3.11.5. Chain Rule3.11.6. Chain Rule3.11.7. Quotient Rule10 min3.11.8. Quotient Rule2 min3.11.9. Power of a Function Rule2 min3.11.10. Implicit Differentiation3.11.11. Implicit Differentiation3.11.12. Second Derivative6 min3.11.13. Logarithmic Differentiation4 min3.11.14. Logarithmic Differentiation 3.11.15. Inverse Trigonometric Derivatives3.11.16. Tangent Lines3.11.17. Tangent Lines3.11.18. Horizontal Tangent Lines2 min3.11.19. Product Rule6 min3.11.20. Product Rule4 min3.11.21. Product Rule4 min3.11.22. Normal Line5 min
4. Differentiation 2: Composite, Implicit, & Inverse Functions (Exam Weighting: 4-7%)
56min5. Applications of Differentiation: Contextual (Exam Weighting: 6-9%)
2.5hr- 5.I. AP Calculus Unit 4 Summary
5.8.1. Related Rates5.8.2. Related Rates5 min5.8.3. Related Rates5 min5.8.4. Linear Approximation4 min5.8.5. Linear Approximation5.8.6. Taylor Series from Definition7 min5.8.7. Taylor Polynomials5.8.8. Maclaurin Polynomial5.8.9. Newton's Method2 min5.8.10. Newton's Method5.8.11. L'Hopital's Rule5.8.12. L'Hopital's Rule5.8.13. L'Hopital's Rule5.8.14. Limits5.8.15. L'Hopital's Rule5.8.16. L'Hopital's Rule5.8.17. Limits5.8.18. Limits5.8.19. Extreme Value Theorem5.8.20. Rolle's Theorem1 min5.8.21. Rolle's Theorem6 min5.8.22. MVT5.8.23. MVT2 min5.8.24. MVT3 min5.8.25. MVT5.8.26. Intervals of Increase and Decrease5.8.27. Intervals of Increase and Decrease3 min5.8.28. Critical Points6 min5.8.29. Critical Points1 min5.8.30. Extrema5 min5.8.31. Extrema6 min5.8.32. Second Derivative Test10 min5.8.33. Curve Sketching5.8.34. Curve Sketching12 min5.8.35. Curve Sketching5.8.36. Optimization5.8.37. Optimization5.8.38. Optimization
6. Applications of Differentiation: Analytical (Exam Weighting: 8-11%)
1.5hr7. Integration 1: Antiderivative & Accumulation of Change (Exam Weighting: 17-20%)
2.7hr- 7.I. AP Calculus Unit 6 Summary
7.16.1. Finite Sums3 min7.16.2. Integration by Substitution2 min7.16.3. Integration by Substitution3 min7.16.4. Integration by Substitution3 min7.16.5. Indefinite Integral with Trig and Inverse Trig7.16.6. Antiderivatives: Indefinite Integrals7.16.7. Integration by Substitution7.16.8. Definite Integral with Trig1 min7.16.9. Computing Integrals3 min7.16.10. Finite Sums7.16.11. Finite Sums7.16.12. Definite Integral7.16.13. Integral from Definition7.16.14. Definite Integral2 min7.16.15. Substitution with Definite Integral3 min7.16.16. FTC I7.16.17. Riemann Sums7.16.18. Integration7.16.19. Riemann Sums7.16.20. Riemann Sums7.16.21. Integral from Definition3 min7.16.22. FTC I7.16.23. FTC I
8. Integration 2: Integration Techniques (Exam Weighting: 17-20%)
2.4hr8.6.1. Integration by Parts2 min8.6.2. Integration by Parts8.6.3. Integration by Parts8.6.4. Integration by Parts8.6.5. Integration by Parts8.6.6. Trigonometric Integral3 min8.6.7. Trigonometric Integral8.6.8. Trigonometric Integral with IBP5 min8.6.9. Trigonometric Substitution5 min8.6.10. Trigonometric Substitution6 min8.6.11. Trigonometric Substitution8 min8.6.12. Partial Fraction Decomposition8 min8.6.13. Partial Fraction Decomposition24 min8.6.14. Partial Fraction Decomposition4 min8.6.15. The Trapezoid Rule8.6.16. The Trapezoid Rule2 min8.6.17. Simpson's Rule
9. Integration 3: Improper Integrals (Exam Weighting: 17-20%)
10min10. Differential Equations (Exam Weighting: 6-9%)
55min11. Applications of Integration (Exam Weighting: 6-9%)
2hr- 11.I. AP Calculus Unit 8 Summary
11.8.1. Displacement, Velocity, and Acceleration3 min11.8.2. Position, Velocity and Acceleration 2 min11.8.3. Position, Velocity and Acceleration 3 min11.8.4. Average Value of a Function2 min11.8.5. Average Value of a Function11.8.6. Average Function Value of a Function1 min11.8.7. Area Between Curves11.8.8. Area Between Curves4 min11.8.9. Area Between Curves11.8.10. Area Between Curves11.8.11. Volumes of Revolution, Cylindrical Shells11.8.12. Volumes of Revolution, Disc/Washer4 min11.8.13. Volumes of Revolution, Cylindrical Shells11.8.14. Volumes of Revolution9 min11.8.15. Arc Length4 min11.8.16. Arc Length4 min11.8.17. Arc Length with Partial Fractions7 min11.8.18. Arc Length with Perfect Square4 min11.8.19. Surface Area6 min11.8.20. Surface Area5 min
12. Parametric Equations, Polar Coordinates, & Vector-Valued Functions (Exam Weighting: 11-12%)
1.8hr12.2.1. Tangents/Derivatives of Parametric Curves2 min12.2.2. Practice (derivatives)2 min12.2.3. Practice (horizontal/vertical tangents)5 min12.2.4. Practice (horizontal/vertical tangents*)6 min12.2.5. Arc Length, Area, and Surface Area2 min12.2.6. Practice (arc length)3 min12.2.7. Practice (area)3 min12.2.8. Practice (surface area)6 min12.2.9. Practice (surface area)5 min
12.4.1. Tangents/Derivatives of Polar Curves2 min12.4.2. Practice (derivative)4 min12.4.3. Practice (horizontal/vertical tangents)7 min12.4.4. Arc Length, Area Under & Between Curves2 min12.4.5. Practice (arc length)3 min12.4.6. Practice (area inside curve)2 min12.4.7. Practice (area inside curve)4 min12.4.8. Practice (area between curves)8 min
13. Infinite Sequences and Series (Exam Weighting: 17-18%)
2hr13.4.1. Series and Limit Comparison Tests5 min13.4.2. Practice (limit comparison test)2 min13.4.3. Practice (limit comparison test)3 min13.4.4. Practice (telescoping series*)6 min13.4.5. Practice (series comparison test)5 min13.4.6. Practice (series comparison test)2 min13.4.7. Practice (telescoping series*)3 min
14. Power Series
1.4hr14.2.1. Representing Functions as Power Series2 min14.2.2. Practice2 min14.2.3. Practice2 min14.2.4. Practice (w/ partial fractions)7 min14.2.5. Differentiation and Integration of Power Series3 min14.2.6. Practice (differentiating power series)4 min14.2.7. Practice (integrating power series)4 min14.2.8. Practice (integrating power series*)8 min
14.3.1. Taylor and Maclaurin Series6 min14.3.2. Practice (Taylor series)7 min14.3.3. Common Maclaurin Series (Memorize!)*5 min14.3.4. Practice (Maclaurin series)2 min14.3.5. Practice (Maclaurin series)3 min14.3.6. Practice (Maclaurin series of an integral)2 min14.3.7. Practice (evaluating a series*)3 min
AP Calculus (BC) Exam Prep Course Overview
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Welcome to AP Calculus (BC) Exam Prep Course! This on-demand course was put together especially for AP Calculus (BC) Exam Prep Course at AP Exam Prep. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
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Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.