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AP Calculus

Archived from start of 2024-2025 school year

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Course Syllabus and Standards

Important Files + Links for Videos

Optional Google Forms

Edpuzzle: Issues with Submitting

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.

TI-Nspire CX CAS for AP Calc/Stats students

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.

AP Calculus: Textbook Sign-Up

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.

AP Calculus: HW and CW Printouts

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

Gateway Exams

AP Night Resources

AP Night 2024 Video · AP Night 2024 Handouts

Summer Homework

Summer HW Instructions

Prerequisite Content

Problems · Solutions

Precalculus Review

Circuit Activity · Problems · Solutions

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

Notes · Videos · Problems · Answers · Solutions

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

Notes · Videos · Problems · Answers · Solutions

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

Notes · Videos · Problems · Answers · Solutions

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

Notes · Videos · Problems · Answers · Solutions

Chapter 5: Differential Equations

§5.1a: Slope Fields

Notes · Videos · Problems · Answers · Solutions

§5.1b: Euler’s Method (BC only)

Notes · Videos · Problems · Answers · Solutions

§5.3: Separation of Variables

Notes · Videos · Problems · Answers · Solutions

§5.4: The Logistic Equation (BC only)

Notes · Videos · Problems · Answers · Solutions

Chapter 6: Applications of Integration

§6.1: Area of a Region Between Two Curves

Notes · Videos · Problems · Answers · Solutions

§6.2a: Volume: The Disk and Washer Methods

Notes · Videos · Problems · Answers · Solutions

§6.2b: Volume: Solid with Known Cross Sections

Notes · Videos · Problems · Answers · Solutions

§6.4: Arc Length (BC only)

Notes · Videos · Problems · Answers · Solutions

Chapter 7: Integration Techniques and Improper Integrals (BC only)

§7.2: Integration by Parts (BC only)

Notes · Videos · Problems · Answers · Solutions

§7.5: Partial Fractions (BC only)

Notes · Videos · Problems · Answers · Solutions

§7.8: Improper Integrals (BC only)

Notes · Videos · Problems · Answers · Solutions

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)

Notes · Videos

§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)

Textbook · Solutions

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

§9.8: Velocity and Acceleration (BC only)

Notes · Videos · Problems · Answers · Solutions

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