Many students have questions about their preparation when entering a math and science heavy program. We’ve set a precalculus prerequisite for M&M so if you have any significant trouble with problems in algebra, geometry, or trigonometry, you will need to find time and resources to fill in this background or else seriously consider postponing your study of calculus and calculus-based physics until you have taken further preparatory classes (such as precalculus).
You can download a copy of the first chapter of our calculus textbook here.
- We will assume that, at the bare minimum, you have previously learned the material in sections 1.1 – 1.6.
- As needed, use available resources to review and solidify any of this material.
- We begin the quarter with section 1.7 Introduction to Continuity, so it is vital that you have reviewed/prepared sections 1.1 – 1.6.
- When you are able to sign up for WileyPLUS (the online supplement to our calculus book) at http://www.wileyplus.com/class/474345, you will be able to access a number of useful resources. Note that you have a two week grace period, so you can access this material even before purchasing your WileyPLUS access (this should come bundled in the textbook if you buy at the bookstore, so don’t purchase it separately).
- Under Read, Study & Practice, you can access Chapter 0: Algebra & Trigonometry Refreshers, which has Reading Content, Practice Problems, and Mini-Lecture Videos as well as find a list of Learning Objectives. It’s not worth your time to work this through systematically: identify if there is anything you need to focus on, and do that.
- Also under Read, Study & Practice, you can access Chapter 1: A Library of Functions (as noted above, we start the quarter with 1.7 Introduction to Continuity which means you are expected to know the materials from sections 1.1 – 1.6). Again, there are Practice problems (both stand-alone practice but also at the end of each text section), Learning Objectives, and here, access to the Student Solutions Manual. Again, you should focus your attention on that material for which you need targeted review.
You can use your old textbooks for review material, and there are tremendous resources available on the web. We’ve included some other links below. We encourage you to use the comments below to add resources that you’ve found useful for learning/reviewing math.
- Review of Algebra http://stewartcalculus.com/media/9_home.php
- Understanding Algebra http://www.jamesbrennan.org/algebra/
- Precalulus: An Investigation of Functions is a freely available book http://www.opentextbookstore.com/precalc/
- Self-study course that include freely available open-source textbooks, interactive exercises, and targeted video lectures and examples https://www.myopenmath.com/info/selfstudy.php
- UC Irvine OpenCourseWare Pre-Calculus video lectures http://ocw.uci.edu/courses/math_1a1b_precalculus.html
- Chapter 1 of the freely available Calculus book by Strang introduces the main ideas of calculus but also reviews the idea of a function and reviews trigonometry http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/
- If you’d like a preview that includes Highlights of Calculus, Professor Strang has created a video series of that name http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010/
- Advice on how to learn, with particular relevance to learning math and science, based on up-to-date research in cognitive science and learning theory; free on-line course started on Sep. 15 and you can just view lectures on your own by enrolling https://www.coursera.org/course/learning