Calculus

Welcome to the Calculus webpage! Look below for notes, assignments, and other resources.

If you would like to meet with me for math help, to discuss assignments, or just to talk, I am available every day after school from 3:30 to 4:00 except for every other Wednesday. I would also be happy to meet with you before school or during my prep periods (2A and 4B), as long as you make an appointment with me ahead of time.

AP Test Information: https://apstudent.collegeboard.org/apcourse/ap-calculus-ab/about-the-exam

Public Tests and a brief description of the test: https://blog.prepscholar.com/ap-calculus-ab-practice-tests

Solutions for 1998 Test:

Section 1, Part A (multiple choice, no calculator): http://www.askmrcalculus.com/AP%2098%20MultC.html

Section 1, Part B (multiple choice, with calculator): http://www.askmrcalculus.com/AB%2098%20MC%20C.html

Section 2 (free response): https://secure-media.collegeboard.org/apc/sg_calcab_98_9669.pdf

"The Essence of Calculus" YouTube series: https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

Unit 7 Review

7.3 Volume of a Known Cross Section

7.2 Volumes of Revolution

7.1 Area Between Curves

Unit 6 Review

6.7 Inverse Trigonometric Functions: Derivatives and Integrals

6.6 Linear Approximation and Slope Fields

6.5 Separable Differential Equations with Exponential Growth and Decay

6.4 Separable Differential Equations

6.3 Derivatives and Integrals of Exponentials (base e)

6.2 Derivatives of Inverse Functions

6.1 Derivatives and Integrals of Natural Logs and Basic Trigonometric Functions

Unit 5 Review

5.7 More U-Substitution and Applications of Integrals

5.6 The Fundamental Theorem of Calculus, Part 2

5.5 The Fundamental Theorem of Calculus, Part 1

5.4 Integration by Substitution

5.3 Indefinite Integrals

5.2 Properties of Integrals, Approximations Under a Curve and Average Value of a Function

5.1 Integral Concepts: Riemann Sums and the Definite Integral

Unit 4: Applications of Derivatives Review

4.5 More Optimization

4.4 Optimization

4.3 More Related Rates

4.2 Related Rates

4.1 Linear Motion

Semester 1 Review

Chapter 3 Review

3.6 L'Hospital's Rule

3.5 Mean Value Theorem/Rolle's Theorem

3.4 More Curve Sketching

3.3 Curve Sketching

3.2 Second Derivative

3.1 First Derivatives

2.13 Unit 2 Review

2.12 Mixed Derivative Practice

2.11 Implicit Differentiation AP Practice

2.10 Implicit Differentiation

2.9 Chain Rule

2.8 Product and Quotient Rule

2.7 Logarithmic and Exponential Derivatives

2.6 Trigonometric Function Derivatives

2.5 The Power Rule

2.4 Consolidation Day

2.3 Differentiability and Continuity

2.2 Graphing the Derivative

2.1 Tangent Line Application

1.7 Tangent Lines, Normal Lines, and the Derivative

1.6 Infinite Limits

1.5 Trigonometric Limits

1.4 Intermediate Value Theorem

1.3 Understanding Continuity

1.2 Limit Laws and the Squeeze Theorem

1.1 Introduction to Limits