AP Calculus
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- Syllabus
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- Reference sheets: Differentiation rules | Integration rules | AP Calc Cram Sheet
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Marking Period 1
Quiz 1, Sep. 18
- P.1 Graphs and Models
- P.2 Linear Model and Rates of Change
- P.3 Functions and Their Graphs
- P.4 Inverse Functions
- P.5 Exponential and Logarithmic Functions
Quiz 2, Oct. 2
- 1.1 A Preview of Calculus
- 1.2 Finding Limits Graphically and Numerically
- 1.3 Evaluating Limits Analytically
- 1.4 Continuity and One-Sided Limits
Quiz 3, Oct. 15
MP1 Exam, Nov. 4
- 2.1 The Derivative and the Tangent Line Problem
- 2.2 Basic Differentiation Rules and Rates of Change
- 2.3 Product and Quotient Rules and Higher-Order Derivatives
Marking Period 2
Quiz 4, Nov. 24
Quiz 5, Dec. 10
- 2.7 Related Rates
- 3.7 Linear Approximation and Differentials
- 7.7 Indeterminate Forms and L’Hôpital’s Rule
Quiz 6, Dec. 22
- 3.1 Extrema on an Interval
- 3.2 Rolle’s Theorem and the Mean Value Theorem
- 3.3 Increasing and Decreasing Functions and the First Derivative Test
MP2 Exam, Jan. 27
- 3.4 Concavity and the Second Derivative Test
- 3.5 A Summary of Curve Sketching
- 3.6 Optimization Problems
Marking Period 3
Quiz 7, Mar. 13
- 4.1 Antiderivatives and Indefinite Integration
- 4.2 Area
- 4.3 Riemann Sums and Definite Integrals
- 4.4 The Fundamental Theorem of Calculus
- 4.5 The Net Change Theorem
- 4.6 Integration by Substitution
- 4.7 The Natural Logarithmic Function: Integration
- 4.8 Inverse Trigonometric Functions: Integration
- 7.1 Basic Integration Rules