Please note: this web page is from a past edition of MATH 101. Make sure you go to the current MATH 101 web page to get the proper information.

Course textbook

There is no official course textbook for this course—to save you money! Instead we are posting custom-built course notes, as well as several free online textbooks for you to refer to. Please note that topic-by-topic homework problems are taken from all of these texts, so we recommend you download them all at the start of term.

Joel Feldman and Andrew Rechnitzer, two UBC mathematics professors, have written MATH 101 notes, named the CLP notes, for your use. They are specifically tailored to our course here at UBC.

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.

Here is the list of free online textbooks that we refer to on these pages; roughly speaking, the most helpful ones are listed near the top, but there is helpful material in all of them.

APEX Calculus, by Hartman et al.
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)
Calculus Online Textbook from MIT Open Courseware, by Strang.
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)
Active Calculus, by Boeklins, Austin, and Schlicker.
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)
MOOCulus, by Fowler and Snapp.
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)
Calculus: Early Transcendentals, by Stewart.
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. You do not have to purchase a textbook for this course.

Other helpful things to read

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:

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

Helpful things for you to work on

After succeeding on the WebWorK assignments, the best way for you to practice for the quizzes and final examinations 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. You can also go back to the various versions of old quizzes for later study.

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