There is no commercial course textbook for this course—to save you money! Instead, Joel Feldman and Andrew Rechnitzer, two UBC mathematics professors, have written **MATH 101 notes**, named the CLP-II notes, for your use. They are specifically tailored to our course here at UBC. On that page you can also find a link to the **CLP-II problem book** (still under construction).

The course syllabus page contains a list of formulas from the CLP-II notes that you don't have to memorize.

UBC's MathHelp wiki has summary pages for dozens and dozens of calculus topics, as well as links to lots of other resources. UBC also has a more detailed infinite series module for one of the final topics in MATH 101.

There are also several free online textbooks that you can refer to if you wish. The suggested problems include topic-by-topic homework problems taken from all of these texts, so you are welcome to download them all at the start of term. Roughly speaking, the most helpful ones are listed near the top, but there is helpful material in all of them—and sometimes different students simply have different preferences for textbook styles.

This online textbook is probably most like the commercial textbooks we used to use. Problem sets are broken up into conceptual and terminology, practice, and review, and chapters have summaries at the end. Each section ends with an exercise set with ample problems to practice and test skills; answers to odd problems are in the back. (download link for the entire book)

An oldie but a goodie, this textbook looks like it was posted when the Internet was young, but somehow the PDF file is completely searchable. There are tons of problems at the ends of the sections, a link to a student study guide, and even links to lecture videos for many of the topics. Some of the material on sequences and series is treated quite differently from the other sources, which makes it a little hard to give corresponding chapters. (download link for the entire book)

This very conversational book is designed for an active-learning environment, where students discover the material through carefully designed activities. There are not many exercises (and no solutions), but the ones that are there tend to be multi-part, meant for guiding students to understanding rather than practicing rules and formulas. Some students will find this format uncomfortable, but some will discover that this is exactly the type of book they need. The authors also maintain a blog, OpenCalculus, which is “devoted to free calculus resources for students, free and open source materials for instructors, and active engagement for all” (and a few jabs at the commercial textbook industry). (download link for the entire book)

This very competent standard treatment of calculus has answers to every problem given at the end. Unfortunately, this is mostly a differential calculus textbook, with only a few topics from integral calculus, which limits its utility for MATH 101. (download link for the entire book)

This is not a free textbook; rather, it is the textbook UBC used to use, so you can probably find used copies around. The book's publisher maintains a companion web site to the book with lots of additional learning material.

So many students don't do as well as they could in MATH 101, not because of problems with the new material, but because of incomplete mastery of old material! Making sure you are solid on past mathematical skills is the easiest way to substantially increase your grades in MATH 101. Here are some summaries of topics from your **mathematical background**, for you to review as necessary:

- high school algebra
- analytic geometry (coordinates in the
*xy*-plane, graphs, and equations of lines and curves) - geometry, trigonometry, area and volume, and cartesian coordinates: see Appendix A in the
**CLP-II notes** - limits, derivatives, and the rest of differential calculus: see the CLP-II notes for MATH 100/180

Eric Schechter, a retired professor from Vanderbilt University, has a wonderfully detailed web page about common errors mathematics students make.

After succeeding on the WebWorK assignments, the best way for you to practice for the midterm and final examination is to work on some or all of the **suggested problems**. In addition to supplying extra practice on mechanical steps, they also contain longer problems of the type that WeBWorK can't handle well, but that will definitely be represented on the exams.

**Practice final examinations**, along with solutions, will be posted later in the semester on the final exam web page.