AP Calculus BC / Notes and Handouts
| First Day of Class Check-List |
| 1-1 Lesson Outline |
| 1-2 Lesson Outline |
| 1-3 Computation of Limits | Squeeze Theorem |
| 1-4 Continuity and its Consequences |
| 1-5 Limits at Infinity | Handout |
| 1-6 Precise Definition of a Limit |
| Test #1 Outline |
| 2-1 Tangent Lines and Velocity |
| 2-2 The Derivative |
| 2-3 Computation of Derivatives |
| 2-4 The Product and Quotient Rules |
| 2-5 The Chain Rule and Inverse Functions |
| Test #2 Outline |
| 2-6 Derivatives of Trigonometric Functions |
| 2-7 Derivatives of Exponential and Logarithmic Functions |
| 2-8 Implicit Differentiation / Inverse Trigonometric Functions |
| 2-9 The Mean Value Theorem |
| Test #3 Outlines |
| 3-1 Linear Approximations |
| 3-2 Indeterminate Forms and L'Hopital's Rule |
| 3-3 Maximum and Minimum Values |
| 3-4 Increasing and Decreasing Functions (The First Derivative Test) |
| 3-5 Concavity and the Second Deritative Test / Example 1 Video |
| 3-7 Optimization |
| 3-8 Related Rates |
| Test #4 Outline |
| 4-1 Antiderivatives |
| 4-3 Area |
| 4-4 The Definite Integral |
| 4-5 The Fundamental Theorem of Calculus |
| 4-6 Integration by Substitution |
| 4-7 Numerical Integration |
| 4-8 The Natural Logarithm as an Integral |
| Test #5 Outline |
| 5-1 Area Between Curves |
| 5-2 Volume: Disc; Washer; Slicing |
| Solutions to select 5-1 and 5.2 problems |
| 5-3 Volume: Shells |
| 5-4 Arc Length and Surface Area |
| Solutions to select 5-3 and 5-4 problems |
| 5-6 Work Done by a Spring |
| Test #6 Outline |
| AP Calculus BC Fall Final Exam Information |
| 6-1 Review of Integration Formulas and Techniques |
| 6-2 Integration by Parts |
| 6-3 Integrals Involving Trigonometric Function Handout / Notes |
| 6-3 Trigonometric Substitution |
| 6-4 Partial Fractions |
| 6-6 Improper Integrals |
| Test #7 Review |
| 7-1 Modeling with Differential Equations and 7.2 Seperable Differential Equations |
| 7-3 Slope Fields |
| 7-3 Euler's Method |
| 7-3 Logistic Growth Notes and Homework |
| Test #8 Outline and Sample Questions |
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8-1 Sequences of Real Numbers |
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8-2 Infinite Series |
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8-3 Integral Test |
| 8-3 Comparison Tests |
| 8-4 Alternating Series |
| 8-5 Ratio Test |
| Test #9 Outline |
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Tests for Convergence/Divergence |
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8-6 Power Series |
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8-7 Taylor Series (Day 1) |
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8-7 Taylor Series (Day 2) |
| 8-8 Applications of Taylor Series |
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Test #10 Outline |
| 11-2 The Calculus of Vector-Valued Functions and 11-3 Motion in Space |
| Test #11 Outline |
| Key Ideas from Chapters 9 and 11 |