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.

Algebra is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned. This book is about algebra. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself, compare your solution with the solution in the book (if it exists), and then go to the next problem.

These online calculators can help you check your answers for many common algebra problems. Just type in an equation to solve, an expression to simplify, a polynomial to factor, or a quadratic to complete the square, and the automated calculator does the rest. Not only is the answer provided, step-by-step instructions are also generated for your individual problem. It's an excellent tool to check your steps when completing textbook problems and are only given an answer. Now you can figure out exactly where your arithmetic faltered.

Just remember, no calculators are permitted during ABCTE's exams.

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.

Over the years, Barron's popular and widely-used Easy Way books have proven themselves to be accessible self-teaching manuals. Math the Easy Way includes instruction and review in whole numbers, fractions, percentages, as well as introductions to algebra and statistics. You will also find a diagnostic test and an end-of-book practice test with answers.

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.

The links on this page take you to detailed explanations of how to illustrate data distributions, design scatter plots, and draw stem-and-leaf and box-and-whisker plots.

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.

This textbook provides an introduction to statistics. It covers describing, exploring, and comparing data, probability, probability distributions, normal probability distributions, estimates and sample sizes, hypothesis testing, correlation and regression and statistical process control. Assuming only a knowledge of algebra, it builds a strong foundation of conceptual and procedural understanding of statistics.

This site covers most basic geometric concepts in four stages: "first glance," in which the topics are introduced; "in depth," where more detailed attention is given to the underlying concepts; "examples"; and "workout," where sample problems are given and the user must put to use the information learned.

This book remains relevant as a wake-up call for people unaccustomed to examining numbers. A simple read that serves to quickly introduce you to the moral underpinnings tied to the use of statistics.

An independent study course that covers descriptive statistics, probability, confidence intervals, and hypothesis testing for one and two parameters. The emphasis is on applications to a wide variety of disciplines.

This interactive Web site contains thorough explanations that will cover basic addition, subtraction, multiplication, and division for whole numbers, fractions, and decimals.

The Khan Academy is a not-for-profit organization with the mission of providing a high quality education to anyone, anywhere.

They have 800+ videos on YouTube covering everything from basic arithmetic and algebra to differential equations which have been recorded by Salman Khan.

This resource comes highly recommended from ABCTE's Math forum: http://www.abcte.org/forum/2926/.

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.

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.

Enrolled candidates can access the course through http://www.abcte.org/courses/mathematics/index.html using their ABCTE username and password.

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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.

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 is comparable to a full semester course on Statistics.

While rigorous enough to be used as a college or high school text, the book is reader friendly and clear enough to be used for self-study in a non-classroom environment. "Pre-test'' material enables readers to target problem areas quickly and skip areas that are already well understood. Chapters feature "post-tests'' for self-evaluation. Thousands of practice problems, questions and answers make this algebra review a unique and practical text.

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.

At the time this resource list was written, there were over 110 links on this site, each leading to an accurate, friendly, and rigorous discussion of math topics, ranging from elementary topics like fractions all the way to complex matrix operations such as Gauss-Jordan elimination.