Calculus Resources
There are three types of calculus materials listed below: a) downloadable files in PDF format that I have created as part of my tutoring business; b) external links to specific articles; and c) external links to websites containing a variety of materials. These items are grouped by mathematical category. You may scroll to the desired category using the menu in the right sidebar.
Calculus Basics <back to top>
- Basic Calculus Theorems
This PDF document identifies the basic theorems used in introductory calculus.
- Delta/Epsilon Proof of a Limit
Short explanation and many examples describing the delta/epsilon proof of a limit in introductory calculus.
Differentiation <back to top>
- Differentiation Rules
This PDF document identifies the basic differentiation rules for introductory calculus.
- Practice Differentiation Problems
A PDF file containing practice problems related to the differentiation rules listed above.
- Practice Related Rates Problems
A web page describing methods for solving related rates problems, with multiple examples.
- Khan Academy Related Rates Problems II
Khan Academy videos describing methods for solving related rates problems, with multiple examples.
Integration <back to top>
- Integration Rules
This PDF document identifies the basic integration rules for introductory calculus.
- Practice Integration Problems
A PDF file containing practice problems related to the integration rules listed above.
Power Series <back to top>
- Series Convergence/Divergence
PDF file describing series and their convergence or divergence.
- Alternating Series Conditional/Absolute Convergence
PDF file describing alternating series and conditional/absolute convergence.
- Power Series Convergence/Divergence
PDF file describing testing convergence/divergence of power series.
- Khan Academy Series Videos
Khan Academy videos describing series.
Special Topics <back to top>
- Tabular Data Applications
PDF file describing the estimations of derivatives/integrals from tabular data.
Calculus Websites <back to top>
- Mr. Smith's Calculus Website
Mr. Smith's site provides practice tests, etc.
- Mr. McAllen's Practice BC Calculus Materials
Mr. McAllen provides numerous practice worksheets and notes for AP BC calculus.
- Univ. Wisconsin Lecture Notes
The Univ. of Wisconsin provides extensive lecture notes for first-year calculus.
Resource Websites <back to top>
- AP Central AB Free Response Problems and Solutions
AP Central provides past-year AB free response problems with solutions.
- AP Central BC Free Response Problems and Solutions
AP Central provides past-year BC free response problems with solutions.
- Meg Clemen's AB Calculus Review Summary Sheet
PDF AB Calculus review summary sheet (filled out).
Videos & Tutorials <back to top>
- Khan Academy Calculus Videos
The Khan Academy provides numerous videos for calculus topics.
- University of Houston AP Calculus Videos
The Univ. of Houston provides numerous videos for AP calculus topics.
