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

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