Welcome to the home page for Topics in Algebra, Trigonometry and Pre-calculus. This course is designed to fill in the holes in your mathematical training, and prepare you to take more advanced courses, such as Calculus or Satistics, or to study for the GRE. There is no official textbook for the course. Instead, each unit has a set of notes explaining the material, and a set of exercises. In addition, you might find the following useful:
- Algebra and Trigonometry Review: notes made by the Vanderbilt University Mathematics department. It has many exercises and answers for the odd numbered problems.
- An Algebra Refresher From the foreword: The material in this refresher course as been designed to enable you to prepare for your university mathematics programme. When your programme starts you will find that your ability to get the best from lectures and tutorials, and to understand new material, depends crucially upon having a good facility with algebraic manipulation. We think that this is so important that we are making this course available for you to work through before you come to university
- College Algebra: by Paul Dawkins. This is afull textbook on College algebra.
- Math review for the GRE:From the introduction: The Math Review is designed to familiarize you with the mathematical skills and concepts likely to be tested on the Graduate Record Examinations General Test. This material, which is divided into the four basic content areas of arithmetic, algebra, geometry, and data analysis, includes many definitions and examples with solutions, and there is a set of exercises (with answers) at the end of each of these four sections. Note, however, this review is not intended to be comprehensive. It is assumed that certain basic concepts are common knowledge to all examinees. Emphasis is, therefore, placed on the more important skills, concepts, and definitions, and on those particular areas that are frequently confused or misunderstood. If any of the topics seem especially unfamiliar, we encourage you to consult appropriate mathematics texts for a more detailed treatment of those topics.
- Two chapters from Steward’s Calculus book:
The course is organized into 43 units. For each credit you register for, you will have to complete 6 of those units. The units are further grouped into streams, which contain the units you should attempt if your goal is to prepare for Calculus, Statistics of the GRE.
Feel free to request other units if you need help on topics which are not listed here. I will be happy to look for or produce material for them. I encourage you to work together as much as possible on the units. There is no better way to internalize this material than by trying to explaining it to someone else.