Exam Preparation

In this classic math text, Martin Gardner has rendered calculus comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

Inside you will find 3,000 solved problems with complete solutions—the largest selection of solved problems yet published on linear algebra; it's a superb index to help you quickly locate the types of problems you want to solve, and includes problems like those you'll find on your exams. In addition, you'll find techniques for choosing the correct approach to problems, and guidance on choosing the quickest and most efficient solution.

On a single webpage, Claeys manages to summarize most of the important topics of trigonometry. Follow the link at the bottom of the page to see numerous solved example problems based on those topics.

Calc101.com will solve "99.9%" of freshman derivative and integral problems; according to the site, "Out of nearly four thousand tests from four calculus books, there were a few calc101.com couldn't do." All you do is enter your derivative or integral problem, and the answer (along with a detailed explanation of each step) is generated. However, integral problems are not free—it will give you the answer, but if you want the steps listed and explained, you have to buy a password that will allow you to solve 900 problems at a cost of $15. (You can also multiply and divide polynomials step by step for free.)

Each chapter opens with a motivating application that previews the mathematical concepts to be explored. Over 1,000 examples are provided; each is titled for easy reference and most include step-by-step solutions. Essay questions are also provided. Calculus Learning Tools CD-ROM comes free with each copy of the text purchased. Its variety of explorations, labs, 3-D rotatable graphs, and other tools bring calculus concepts to life.

This site contains free Flash tutorials to help you review the basic concepts of calculus. In addition, there is a fully searchable bank of practice problems on just about any calculus topic, organized either alphabetically by topic or in sequence, by academic year.

Especially strong at establishing the geometric foundation of trigonometry, this site introduces most of the major trigonometric theorems and proves the majority of them. All of the figures on the site are generated with a Java applet, so if you are using a Java-enabled browser (such as recent versions of Internet Explorer or Netscape), you can click drag points in the diagrams to modify them, and the labels and measurements of the diagrams will adjust themselves automatically.

Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Lay introduces the abstract concepts of linear algebra in a familiar, concrete setting, develops them gradually, and returns to them again and again throughout the text.

An exhaustive set of on-line computational tools you can use to solve systems of equations, transform systems into Gauss Jordan matrices, perform row operations, transform a matrix into reduced row echelon form, calculate inverse matrices, and more. Although the American Board standards require you to perform these and other operations by hand, this is an excellent resource to help you double check your work as you review, because it works out any problem step by step, explaining each step along the way.

This CD-ROM contains 370 practice questions delivered in an electronic format, just like exams at American Board testing centers. The CD-ROM includes two full-length practice exams as well as additional quizzes that correspond with the American Board standards and your self-assessment. You can work on the questions in “timed mode” to simulate the testing experience or choose “explore mode” to see the correct answer at any time. After each practice exam is completed, you'll receive a scaled score that evaluates your performance and helps you understand what you missed. The Mathematics Practice Exam CD-ROM is an inexpensive yet effective way to help you get ready for exam day!

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Accessible via the Internet, ABCTE’s Mathematics Refresher Course contains more than 300 pages of material and was designed to help you review your knowledge for the mathematics exam. The course is self-paced, allowing you to dedicate more time to material that needs intense review and skip over material you already know. The course incorporates animated tutorials and activities, chapter quizzes, detailed lessons and illustrations, and a video demonstration component.

Cost: $225.00
URL: Access course through http://www.abcte.org/courses/mathematics/index.html using your MyPass username and password
Enrollment includes unlimited access to the course for 1 year

You can purchase an ABCTE Refresher Course through MyPass. As of November 1, 2007, candidates who enroll in the Passport to Teaching program for certification in mathematics will receive complimentary access to the Mathematics Refresher course. The course will be active within 5 business days of enrollment in the program.

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Carnegie Mellon's Open Learning Initiative (OLI) features a collection of openly available and free online courses and course materials that enact instruction for an entire course in an online format.

This course in calculus is currently under development, but has been made available while it is under development. The course material may undergo significant changes over the next several months.

Precalculus thoroughly explores topics in algebra, trigonometry, and analytic geometry, and all the examples, applications, and exercises have been selected for their relevance to calculus. The trigonometric functions are introduced first in terms of the unit circle approach and then using right triangles. The text includes over 6,000 exercises that accommodate a variety of teaching and learning styles, plus a number of contemporary, real-life applications.

SparkNotes Math Study Guides cover a wide range of math topics, detail steps for solving problems and equations, and include practice problems.

Mike Kelley, the best-selling author of The Complete Idiot’s Guide to Calculus and the Director of Preparation at ABCTE, has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions.

All basic topics in Trigonometry are covered with an emphasis on illustrations and examples that treat elementary trigonometry as an outgrowth of geometry, but stimulate the reader to think of all of mathematics as a unified subject. The definitions of the trigonometric functions are geometrically motivated—geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to a study of the algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions.

This text provides a painless way to learn the fundamentals and general concepts of trigonometry. It uses prose and illustrations to describe the concepts, offers questions at the end of each chapter and section, and includes a 100-question self-test.