Course Materials
Course Notes & Other Resources
Below you will find notes and handouts that we have used in class, as well as some other useful stuff.
- Introduction to WeBWorK. Note: There are some inconsistencies in this video due to the fact that I made it for my Fall 2012 class. The version of WeBWorK has been upgraded, but it should still be useful.
- Setting the Stage
- Differential Calculus, which is a set of inquiry-based learning (IBL) notes written by Brian Loft (Sam Houston State University) and published by the Journal of Inquiry-Based Learning.
- Trig Unit Circle
- Required Knowledge from Precalculus
- Are You Ready for Calculus? Questions
- Are You Ready for Calculus? Answers
- Calculus Applets with GeoGebra
- Supplemental Problems for Exam 1 Content
- Solutions to Supplemental Problems for Exam 1 Content
- Solutions to Appendix: Chapter 1-2 Review
- Supplemental Problems for Exam 2 Content Note: You can skip Problems 35 and 42.
- Solutions to Supplemental Problems for Exam 2 Content
- Solutions to Appendix: Chapter 3 Review Note: You can skip Problems 6 and 7. Also, “local linerization” just means “equation of the tangent line”.
- Applied Optimization Handout
- Function Analysis Handout
- Supplemental Problems for Exam 3 Content Note: You can skip Problems 23-30. You should also go back and look at Problems 35 and 42 on the Supplemental Problems for Exam 2 Content.
- Solutions to Supplemental Problems for Exam 3 Content
- Solutions to Appendix: Chapter 4 Review
- Related Rates Handout
- Integration by Substitution Handout
- Fundamental Theorem of Calculus Handout
- Supplemental Problems for Exam 4 Content Note: You can skip Problems 13-16, but you should know how to do these problems for the final exam.
- Solutions to Supplemental Problems for Exam 4 Content
- Solutions to Appendix: Chapter 5 Review
- Integration by Parts Handout
Additional Videos, Applets, & Problems
Below is a partial list of applet and video repositories related to calculus. There are lots more out there. If you know of a good resource that’s not listed below, please let me know.
- MOOCulus Videos
- CalculusApplets.com
- Education Portal
- Patrick’s Just Math Tutorials
- Khan Academy
- Brightstorm Calculus Videos
- Math Doctor Bob videos
- The Calculus Page Problems List
Free Calculus Textbooks
Here is a list of free calculus texts that you may use as an additional resource. If you find one of these more helpful than another, please let me know. Also, if you know of other resources, please let me know.
- APEX Calculus is an open-source textbook by a group of faculty from Virginia Military Institute. It has the look and feel of a traditional calculus (e.g., Stewart’s Calculus). Includes interactive 3D graphics.
- MOOCulus Textbook is a free textbook from the Ximera folks at Ohio State University. This text is mostly an adaptation of the Community Calculus text listed below.
- Community Calculus by David Guichard (Whitman College). This one is also available as a free PDF. You can also purchase a very inexpensive hardcopy from Lulu.
- Active Calculus by Matt Boelkins (Grand Valley State College). This is one of the newer additions to the list of free calculus texts.
- Calculus by Gilbert Strang (MIT). This book is available as a free PDF from the MIT Open Courseware Project. There are also some corresponding videos, which can be found here.
- Calculus Refresher by Paul Garrett (University of Minnesota). Another free PDF. This short book seems designed for students who have had some experience with calculus and need some review.
- Funny Little Calculus Text by Robert Ghrist (University of Pennsylvania). Currently only first semester calculus, very short, and no exercises, but a free PDF.
- Paul’s Online Math Notes by Paul Dawkins (Lamar University). Paul’s notes cover Calculus 1-3, Linear Algebra, and more. The notes are available as free HTML-based material. These notes seem to be popular with students.
- Differential Calculus with Sage by David Joyner (United States Naval Academy) and Granville. This free book is available as either a PDF or in HTML form. The book covers first semester calculus and incorporates Sage, which is an open-source mathematics software package.
- Integral Calculus with Sage by Dale Hoffman (Bellevue Community College), William Stein (University of Washington), and David Joyner (United States Naval Academy). The book picks up where the previous book left off.
- Contemporary Calculus by Dale Hoffman (Bellevue Community College). A free online calculus text that is being developed for the Open Course Library Project of the Washington State Colleges. This book is part of the foundation for the previous book. It covers three semesters of calculus and seems to do a thorough job of it, but the formatting is awful.