AP Calculus

Course Schedule

• Marking Period 1
  • Quiz 1, Sep. 18
  • Quiz 2, Oct. 2
  • Quiz 3, Oct. 15
  • MP1 Exam, Nov. 4
• Marking Period 2
  • Quiz 4, Nov. 24
  • Quiz 5, Dec. 10
  • Quiz 6, Dec. 22
  • MP2 Exam, Jan. 27
• Marking Period 3
  • Quiz 7, Mar. 13
  • Quiz 8, Apr. 14
• Marking Period 4
  • Quiz 8
• Links

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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

Unit 1 MCQ Part A

Quiz 3, Oct. 15

• 1.5 Infinite Limits
• 1.6 Limits at Infinity

Unit 1 MCQ Parts B and C; Unit 1 FRQ Parts A, B, and C

MP1 Exam, Nov. 4

• 2.1 The Derivative and the Tangent Line Problem
• 2.2 Basic Differentiation Rules and Rates of Change

Unit 2 MCQ Part A

• 2.3 Product and Quotient Rules and Higher-Order Derivatives

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Marking Period 2

Quiz 4, Nov. 24

• 2.4 The Chain Rule

Unit 2 MCQ Part B; Unit 2 FRQ Parts A and B

• 2.5 Implicit Differentiation
• 2.6 Derivatives of Inverse Functions

Unit 3 MCQ; Unit 3 FRQ Parts A and B

Quiz 5, Dec. 10

• 2.7 Related Rates
• 3.7 Linear Approximation and Differentials
• 7.7 Indeterminate Forms and L’Hôpital’s Rule

Unit 4 MCQ; Unit 4 FRQ Parts A and B

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

Unit 5 MCQ Part A

MP2 Exam, Jan. 27

• 3.4 Concavity and the Second Derivative Test
• 3.5 A Summary of Curve Sketching

Unit 5 MCQ Part B; Unit 5 FRQ Part A

• 3.6 Optimization Problems

Unit 5 MCQ Part C; Unit 5 FRQ Part B

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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

Unit 6 MCQ Part A; Unit 8 FRQ Part A

• 4.6 Integration by Substitution
• 4.7 The Natural Logarithmic Function: Integration
• 4.8 Inverse Trigonometric Functions: Integration
• 7.1 Basic Integration Rules

Unit 6 MCQ Part B; Unit 6 FRQ Parts A and B

Quiz 8, Apr. 14

• 5.1 Slope Fields and Euler’s Method
• 5.2 Growth and Decay
• 5.3 Separation of Variables

Unit 7 MCQ; Unit 7 FRQ Parts A and B

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Marking Period 4

Quiz 8

• 6.1 Area of a Region Between Two Curves

Unit 8 MCQ Part A

• 6.2 Volume: The Disk and Washer Methods

Unit 8 MCQ Part B; Unit 8 FRQ Part B

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Links

• Syllabus
• Whiteboard notes
• Reference sheets: Differentiation rules | Integration rules | AP Calc Cram Sheet
• Calculators: Demos | Derivative calculator | Integral calculator