GRE Mathematics (GRE Test Preparation)
ABOUT THIS BOOKThis book provides an accurate and complete representation of the GRE Mathematics Subject Test. Inside you'll find six full-length REA practice tests based on the format of the most recently administered GRE test. Like the GRE test itself, each of our model tests lasts two hours and 50 minutes. Each one includes every type of question that you can expect to encounter on the actual exam. We also give you an answer key complete with detailed explanations that spell out how the correct answers are arrived at. By completing all six practice exams and studying the explanations that follow, you can discover your strengths and weaknesses and thereby become well prepared for the actual exam.To help you brush up on the subject matter, the book also features 281 pages of topical reviews, summarizing the essentials of the various topics covered on the GRE Mathematics Test. Our reviews are designed to work as an at-a-glance overview of the many topics that the test covers--each of which could fill a book of its own. Should you require more detail, a textbook whose contents parallel the topical coverage of the GRE should be consulted.ABOUT THE TESTThe GRE Mathematics Test is offered three times a year by Educational Testing Service, under the direction of the Graduate Record Examinations Board. Applicants for graduate school submit GRE test results together with other undergraduate records as part of a highly competitive admission process.The questions on the test are composed by a committee of specialists who are selected from various undergraduate and graduate faculties across the U.S. This test consists of 66 multiple-choice questions. Some questions are grouped together under a particular diagram and/or graph. Emphasis is placed on these areas:I. Calculus (50%)Material learned in the usual sequence of elementary calculus courses--differential and integral calculus of one and of several variables--includes calculus-based applications and connections with coordinate geometry, trigonometry, differential equations, and other branches of mathematics.II. Algebra (25%)A. Elementary algebra: basic algebraic techniques and manipulations acquired in high school and used throughout mathematicsB. Linear algebra: matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials, eigenvalues and eigenvectorsC. Abstract algebra and number theory: elementary topics from group theory; the theory of rings and modules, field theory, and number theoryIII. Additional Topics (25%)A. Introductory real analysis: sequences and series of numbers and functions, continuity, differentiability and intergrability, elementary topology of r and rnB. Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithmsC. Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysisThis list is by no means all-embracing. (You may, for example, face questions asking you to find the correct mathematical model to represent a "real-life" situation.) The test requires more than simple recall: It gauges both your understanding of fundamental concepts and your ability to apply these concepts in specific situations. Because of the wide gamut of coursework in undergraduate mathematics, not all the material that you may have studied will be presented on the exam. Rather, the questions are based on the courses of study most commonly offered in an undergraduate mathematics curriculum.