This is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.

1- Introduction & Review
1- Welcome to AP Calculus BC
2- Course Syllabus
3- MLA Formatting Word 2007
4- MLA Documentation Updates
5- Completing Math Assessments
6- MLA Citation
7- MLA Incorporating Sources
8- Calculus On The Web
9- Review — Stuff You Should Already Know

2- Limits & Continuity
1- An Introduction to Limits & Continuity
Quiz: Introduction to Limits & Continuity
2- Tangent Lines & Rates of Change
Handout: Tangent Lines & Rates of Change Worksheet
Assignment: Tangent Lines & Rates of Change
3- The Limit
Handout: The Limit Worksheet
Assignment: The Limit
4- One-Sided Limits
Handout: One-Sided Limits Worksheet
Assignment: One-Sided Limits
5- Computing Limits
Handout: Computing Limits Worksheet
Assignment: Computing Limits
6- Infinite Limits
Handout: Infinite Limits Worksheet
Assignment: Infinite Limits
7- Limits at Infinity
Handout: Limits at Infinity Worksheet
Assignment: Limits at Infinity
8- Continuity
Handout: Continuity Worksheet
Assignment: Continuity
9- Additional Resources
Handout: Limits & Continuity Exam
Assignment: Limits & Continuity Exam

3- Derivatives
1- Introduction to Derivatives
2- Definition & Interpretation of the Derivative
Handout: Definition & Interpretation of the Derivative Worksheet
Assignment: Definition & Interpretation of the Derivative
3- Differentiation Formulas
Handout: Differentiation Formulas Worksheet
Handout: Derivatives Exam 1
Assignment: Differentiation Formulas
Assignment: Derivatives Exam 1
4- Product & Quotient Rule
Handout: Product & Quotient Rule Worksheet
Assignment: Product & Quotient Rule
5- Derivatives of Trig Functions
Handout: Derivatives of Trig Functions Worksheet
Assignment: Derivatives of Trig Functions
6- Derivatives of Exponential & Logarithm Functions
Handout: Derivatives of Exponential & Logarithm Functions Worksheet
Assignment: Derivatives of Exponential & Logarithm Functions
7- Derivatives of Inverse Trig Functions
8- Derivatives of Hyperbolic Functions
Handout: Derivatives of Inverse & Hyperbolic Trig Functions Worksheet
Assignment: Derivatives of Inverse & Hyperbolic Trig Functions
9- The Chain Rule
Handout: The Chain Rule Worksheet
Handout: Derivatives Exam 2
Assignment: The Chain Rule
Assignment: Derivatives Exam 2
10- Implicit Differentiation
Handout: Implicit Differentiation Worksheet
Assignment: Implicit Differentiation
11- Related Rates
Handout: Related Rates Worksheet
Assignment: Related Rates
12- Higher Order Derivatives
Handout: Higher Order Derivatives Worksheet
Assignment: Higher Order Derivatives
13- Additional Resources
Handout: Derivatives Exam 3
Assignment: Derivatives Exam 3

4- Applications of Derivatives
1- What’s the Big Deal About Derivatives, Anyway?
2- Rates of Change
3- Critical Points & Extrema
Handout: Critical Points & Extrema Worksheet
Assignment: Critical Points & Extrema
4- The Shape of a Graph
Handout: The Shape of a Graph Worksheet
Assignment: The Shape of a Graph
5- The Mean Value Theorem
Handout: The Mean Value Theorem Worksheet
Assignment: The Mean Value Theorem
6- Optimization
Handout: Optimization Worksheet
Assignment: Optimization
7- L’Hopital’s Rule
Handout: L’Hosptial’s Rule Worksheet
Assignment: L’Hospital’s Rule
8- Linear Approximations
Handout: Linear Approximations Worksheet
Assignment: Linear Approximations
9- Differentials
Handout: Differentials Worksheet
Assignment: Differentials
10- Newton’s Method
Handout: Newton’s Method Worksheet
Assignment: Newton’s Method
11- Midtest
Assignment: Calculus Midtest
Handout: Motion Part 1 Worksheet
Handout: Motion Part 2 Worksheet
Handout: Motion Part 3 Worksheet
Assignment: Motion Part 1
Assignment: Motion Part 2
Assignment: Motion Part 3

4- Integrals
1- Working Backwards
2- Additional Resources
3- Indefinite Integrals
Handout: Indefinite Integrals Worksheet
Assignment: Indefinite Integrals
4- Computing Indefinite Integrals
Handout: Computing Indefinite Integrals Worksheet
Assignment: Computing Indefinite Integrals
5- Substitution Rule for Indefinite Integrals
Handout: Substitution Rule Worksheet
Handout: Integrals Exam 1
Assignment: Substitution Rule
Assignment: Integrals Exam 1
6- Area Problem
Handout: Area Problem Worksheet
Assignment: Area Problem
7- Definite Integrals
Handout: Definite Integrals Worksheet
Assignment: Definite Integrals
8- Computing Definite Integrals
Handout: Computing Definite Integrals Worksheet
Assignment: Computing Definite Integrals
9- Substitution Rule for Definite Integrals
Handout: Substitution Rule for Definite Integrals Worksheet
Assignment: Substitution Rule for Definite Integrals
10- Integration by Parts
Handout: Integration by Parts Worksheet
Assignment: Integration by Parts
11- Partial Fractions
Handout: Partial Fractions Worksheet
Assignment: Partial Fractions
12- Improper Integrals
Handout: Improper Integrals Worksheet
Assignment: Improper Integrals
Handout: Motion Part 4 Worksheet
Handout: Motion Part 5 Worksheet
Assignment: Motion Part 4
Assignment: Motion Part 5

5- Applications of Integrals
1- What’s the Big Deal About Integrals, Anyway?
2- Area Between Curves
Handout: Area Between Curves Worksheet
Assignment: Area Between Curves
3- Volumes of Solids of Revolution (Part 1)
Handout: Method of Rings Worksheet
Assignment: Method of Rings
4- Volumes of Solids of Revolution (Part 2)
Handout: Method of Cylinders Worksheet
Assignment: Method of Cylinders
5- Volume
6- Work
Handout: Work Worksheet
Assignment: Work
Handout: Applications of Integrals Exam
Assignment: Applications of Integrals Exam

6- Sequences & Series
1- Sequences & Series
2- Additional Resources
3- Sequences
Handout: Sequences Worksheet
Assignment: Exploration: The Limit of a Sequence
Assignment: Sequences
4- Series: The Basics
Handout: Series Worksheet
Assignment: Series
5- Series: Convergence & Divergence
6- Special Series
7- Integral Test
Essay: Integral Test
8- Comparison Test
Handout: Comparison Test Worksheet
Assignment: Comparison Test
9- Alternating Series Test
Handout: Alternating Series Test Worksheet
Assignment: Alternating Series Test
10- Absolute Convergence
Handout: Absolute Convergence Worksheet
Assignment: Absolute Convergence
11- Ratio & Root Tests
Handout: Ratio & Root Test Worksheet
Assignment: Ratio & Root Test
12- Strategy for Series
13- Estimating the Value of a Series
14- Power Series
Handout: Power Series Worksheet
15- Taylor Series
Handout: Taylor Series Worksheet
Assignment: Power Series
Assignment: Taylor Series
16- Post-Test
Assignment: Calculus Post-test

7- Review & Test Preparation
1- Exam Format & Scoring
2- Exam Strategies & Tips
3- Practice, Practice, Practice!
Handout: AP Calculus BC – Section 1 Part A
Handout: AP Calculus BC — Section 1 Part B
Handout: AP Calculus BC — Section II Part A
Handout: AP Calculus BC — Section II Part B
Assignment: AP Calculus BC Review — Section I: Part A
Assignment: AP Calculus BC Review — Section I: Part B
Assignment: AP Calculus BC Review — Section II: Part A
Assignment: AP Calculus BC Review — Section II: Part B

8- Course Survey
Handout: Course Survey
Assignment: Course Survey