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 Limits2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits2.14.12. IVT2.14.13. IVT2.14.14. IVT2.14.15. Fundamental Trig Limit2.14.16. Fundamental Trig Limit2.14.17. Squeeze Theorem2.14.18. Squeeze Theorem2.14.19. 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 Derivatives3.11.4. Derivative by Definition3.11.5. Chain Rule3.11.6. Chain Rule3.11.7. Quotient Rule3.11.8. Quotient Rule3.11.9. Power of a Function Rule3.11.10. Implicit Differentiation3.11.11. Implicit Differentiation3.11.12. Second Derivative3.11.13. Logarithmic Differentiation3.11.14. Logarithmic Differentiation 3.11.15. Inverse Trigonometric Derivatives3.11.16. Tangent Lines3.11.17. Tangent Lines3.11.18. Horizontal Tangent Lines3.11.19. Product Rule3.11.20. Product Rule3.11.21. Product Rule3.11.22. Normal Line
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 Rates5.8.3. Related Rates5.8.4. Linear Approximation5.8.5. Linear Approximation5.8.6. Taylor Series from Definition5.8.7. Taylor Polynomials5.8.8. Maclaurin Polynomial5.8.9. Newton's Method5.8.10. 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 Theorem5.8.21. Rolle's Theorem5.8.22. MVT5.8.23. MVT5.8.24. MVT5.8.25. MVT5.8.26. Intervals of Increase and Decrease5.8.27. Intervals of Increase and Decrease5.8.28. Critical Points5.8.29. Critical Points5.8.30. Extrema5.8.31. Extrema5.8.32. Second Derivative Test5.8.33. Curve Sketching5.8.34. Curve Sketching5.8.35. 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 Sums7.16.2. Integration by Substitution7.16.3. Integration by Substitution7.16.4. Integration by Substitution7.16.5. Indefinite Integral with Trig and Inverse Trig7.16.6. Antiderivatives: Indefinite Integrals7.16.7. Integration by Substitution7.16.8. Definite Integral with Trig7.16.9. Computing Integrals7.16.10. Finite Sums7.16.11. Finite Sums7.16.12. Definite Integral7.16.13. Integral from Definition7.16.14. Definite Integral7.16.15. Substitution with Definite Integral7.16.16. FTC I7.16.17. Riemann Sums7.16.18. Integration7.16.19. Riemann Sums7.16.20. Riemann Sums7.16.21. Integral from Definition7.16.22. FTC I7.16.23. FTC I
8. Integration 2: Integration Techniques (Exam Weighting: 17-20%)
2.4hr8.6.1. Integration by Parts8.6.2. Integration by Parts8.6.3. Integration by Parts8.6.4. Integration by Parts8.6.5. Integration by Parts8.6.6. Trigonometric Integral8.6.7. Trigonometric Integral8.6.8. Trigonometric Integral with IBP8.6.9. Trigonometric Substitution8.6.10. Trigonometric Substitution8.6.11. Trigonometric Substitution8.6.12. Partial Fraction Decomposition8.6.13. Partial Fraction Decomposition8.6.14. Partial Fraction Decomposition8.6.15. The Trapezoid Rule8.6.16. The Trapezoid Rule8.6.17. 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 Acceleration11.8.2. Position, Velocity and Acceleration 11.8.3. Position, Velocity and Acceleration 11.8.4. Average Value of a Function11.8.5. Average Value of a Function11.8.6. Average Function Value of a Function11.8.7. Area Between Curves11.8.8. Area Between Curves11.8.9. Area Between Curves11.8.10. Area Between Curves11.8.11. Volumes of Revolution, Cylindrical Shells11.8.12. Volumes of Revolution, Disc/Washer11.8.13. Volumes of Revolution, Cylindrical Shells11.8.14. Volumes of Revolution11.8.15. Arc Length11.8.16. Arc Length11.8.17. Arc Length with Partial Fractions11.8.18. Arc Length with Perfect Square11.8.19. Surface Area11.8.20. Surface Area
12. Parametric Equations, Polar Coordinates, & Vector-Valued Functions (Exam Weighting: 11-12%)
1.8hr12.2.1. Tangents/Derivatives of Parametric Curves12.2.2. Practice (derivatives)12.2.3. Practice (horizontal/vertical tangents)12.2.4. Practice (horizontal/vertical tangents*)12.2.5. Arc Length, Area, and Surface Area12.2.6. Practice (arc length)12.2.7. Practice (area)12.2.8. Practice (surface area)12.2.9. Practice (surface area)
12.4.1. Tangents/Derivatives of Polar Curves12.4.2. Practice (derivative)12.4.3. Practice (horizontal/vertical tangents)12.4.4. Arc Length, Area Under & Between Curves12.4.5. Practice (arc length)12.4.6. Practice (area inside curve)12.4.7. Practice (area inside curve)12.4.8. Practice (area between curves)
13. Infinite Sequences and Series (Exam Weighting: 17-18%)
2hr14. Power Series
1.4hr14.2.1. Representing Functions as Power Series14.2.2. Practice14.2.3. Practice14.2.4. Practice (w/ partial fractions)14.2.5. Differentiation and Integration of Power Series14.2.6. Practice (differentiating power series)14.2.7. Practice (integrating power series)14.2.8. Practice (integrating power series*)
I Welcome
Free Activity
Welcome to Wize's AP Calculus (BC) Course!
This Wize course covers the concepts you'll need to get a good score on your AP Calc (BC) exam. You'll also find practice questions to help you master each concept.
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