AP Calculus
Archived from start of 2024-2025 school year
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Course Syllabus and Standards
Optional Google Forms
This form should be used by AP Calculus students if they watched videos in Edpuzzle but were unable to "submit" it for full credit. Please submit this form promptly for each lesson that you have technical difficulties with.
This OPTIONAL form is for AP Calculus and AP Statistics students who wish to borrow a TI-Nspire CX CAS graphing calculator for the 2024-25 school year. These are available on a first-come, first-served basis.
This OPTIONAL form is for AP Calculus students who wish to borrow an AP Calculus textbook for the 2024-25 school year. These are available on a first-come, first-served basis.
This OPTIONAL form is for AP Calculus students who wish to receive printed HW and CW handouts for the 2024-25 school year. Printouts will be distributed by chapter.
Quarter Schedules
AB: Quarter 1 Schedule · Quarter 2 Schedule · Quarter 3 Schedule · Quarter 4 Schedule
BC: Quarter 1 Schedule · Quarter 2 Schedule · Quarter 3 Schedule · Quarter 4 Schedule
Solutions to Circuit Activities
AP Night Resources
Summer Homework
Prerequisite Content
Precalculus Review
Chapter 1: Limits and Their Properties
§1.2: Finding Limits Graphically and Numerically
Notes · Videos · Problems · Answers · Solutions
§1.3: Evaluating Limits Analytically
Notes · Videos · Problems · Answers · Solutions
§1.4: Continuity and One-Sided Limits
Notes · Videos · Problems · Answers · Solutions
§1.5: Infinite Limits
Notes · Videos · Problems · Answers · Solutions
§1.6: Limits at Infinity
Chapter 2: Differentiation
§2.1: The Derivative and the Tangent Line Problem
Notes · Videos · Problems · Answers · Solutions
§2.2: Basic Differentiation Rules and Rates of Change
Notes · Videos · Problems · Answers · Solutions
§2.3: Product and Quotient Rules and Higher-Order Derivatives
Notes · Videos · Problems · Answers · Solutions
§2.4a: The Chain Rule
Notes · Videos · Problems · Answers · Solutions
§2.4b: The Chain Rule
Notes · Videos · Problems · Answers · Solutions
§2.5: Implicit Differentiation
Notes · Videos · Problems · Answers · Solutions
§2.6: Derivatives of Inverse Functions
Notes · Videos · Problems · Answers · Solutions
§2.7: Related Rates
Notes · Videos · Problems · Answers · Solutions
§7.7: Indeterminate Forms and L’Hôpital’s Rule
Chapter 3: Applications of Differentiation
§3.1: Extrema on an Interval
Notes · Videos · Problems · Answers · Solutions
§3.2: Rolle’s Theorem and the Mean Value Theorem
Notes · Videos · Problems · Answers · Solutions
§3.3a: Increasing and Decreasing Functions
Notes · Videos · Problems · Answers · Solutions
§3.3b: The First Derivative Test
Notes · Videos · Problems · Answers · Solutions
§3.4a: Concavity
Notes · Videos · Problems · Answers · Solutions
§3.4b: The Second Derivative Test
Notes · Videos · Problems · Answers · Solutions
§3.5: A Summary of Curve Sketching
Notes · Videos · Problems · Answers · Solutions
§3.6: Optimization Problems
Chapter 4: Integration
§4.1: Antiderivatives and Indefinite Integration
Notes · Videos · Problems · Answers · Solutions
§4.3a: Riemann Sums and Trapezoidal Approximations
Notes · Videos · Problems · Answers · Solutions
§4.3b: Properties of Definite Integrals
Notes · Videos · Problems · Answers · Solutions
§4.4a: The First Fundamental Theorem of Calculus
Notes · Videos · Problems · Answers · Solutions
§4.4b: The Second Fundamental Theorem of Calculus
Notes · Videos · Problems · Answers · Solutions
§4.4c: The Net Change Theorem
Notes · Videos · Problems · Answers · Solutions
§4.5: Integration by Substitution
Notes · Videos · Problems · Answers · Solutions
§4.6: The Natural Logarithmic Function: Integration
Notes · Videos · Problems · Answers · Solutions
§4.7: Inverse Trigonometric Functions: Integration
Notes · Videos · Problems · Answers · Solutions
§7.1: Basic Integration Rules
Chapter 6: Applications of Integration
Chapter 7: Integration Techniques and Improper Integrals (BC only)
Chapter 8: Taylor Polynomials and Infinite Series (BC only)
§8.1: Review of Sequences and Series (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.2: An Introduction to Taylor Polynomials (BC only)
§8.3: A Systematic Approach to Taylor Polynomials (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.4: Lagrange Remainder (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.6: Power Series and the Ratio Test (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.7a: The Integral Test and p-Series (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.7b: The Direct and Limit Comparison Tests (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.8a: Alternating Series (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.8b: Varying-Sign Series (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.10a: Taylor Series (BC only)
Notes · Videos · Problems · Answers · Solutions
§8.10b: Manipulation of Known Taylor Series (BC only)
Notes · Videos · Problems · Answers · Solutions
Taylor Polynomials and Infinite Series by Benjamin Goldstein (BC only)
Chapter 9: Parametric Equations, Polar Coordinates, and Vectors (BC only)
§9.2: Plane Curves and Parametric Equations (BC only)
Notes · Videos · Problems · Answers · Solutions
§9.3: Parametric Equations and Calculus (BC only)
Notes · Videos · Problems · Answers · Solutions
§9.4a: Polar Coordinates and Polar Graphs (BC only)
Notes · Videos · Problems · Answers · Solutions
§9.4b: Polar Coordinates and Differentiation (BC only)
Notes · Videos · Problems · Answers · Solutions
§9.5: Area in Polar Coordinates (BC only)
Notes · Videos · Problems · Answers · Solutions
§9.7: Vector-Valued Functions (BC only)
Notes · Videos · Problems · Answers · Solutions