The Graduate Record Exam: Mathmatics

Overview


This test preparation book includes six full-length exams with detailed explanations based on official exams released by the administrator of the GRE in Mathematics. Knowledge of algebra, calculus, and introductory real variable theory is tested. Includes a comprehensive review of mathematics topics found on the exam. For mathematics students bound for graduate school.
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Overview


This test preparation book includes six full-length exams with detailed explanations based on official exams released by the administrator of the GRE in Mathematics. Knowledge of algebra, calculus, and introductory real variable theory is tested. Includes a comprehensive review of mathematics topics found on the exam. For mathematics students bound for graduate school.
Read More Show Less

Product Details

  • ISBN-13: 9780878916375
  • Publisher: Research & Education Association
  • Publication date: 3/28/1989
  • Series: Test Preps
  • Edition description: REV
  • Edition number: 3
  • Pages: 640
  • Product dimensions: 6.79 (w) x 10.06 (h) x 1.68 (d)

Read an Excerpt


ABOUT THIS BOOK
This 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 TEST
The 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 mathematics
B. Linear algebra: matrix algebra, systems of linear equations, vector spaces, linear transformations, characteristic polynomials, eigenvalues and eigenvectors
C. Abstract algebra and number theory: elementary topics from group theory; the theory of rings and modules, field theory, and number theory

III. Additional Topics (25%)
A. Introductory real analysis: sequences and series of numbers and functions, continuity, differentiability and intergrability, elementary topology of r and rn
B. Discrete mathematics: logic, set theory, combinatorics, graph theory, and algorithms
C. Other topics: general topology, geometry, complex variables, probability and statistics, and numerical analysis

This 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.

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Table of Contents

CONTENTS

ABOUT THIS BOOK

ABOUT THE TEST

SCORING YOUR PRACTICE TESTS

STUDY SCHEDULE

ALGEBRA REVIEW
  Polynomials and Equations
  Inequalities
  Linear Algebra
  Abstract (Modern) Algebra

CALCULUS REVIEW
  Functions
  Coordinate Geometry
  Trigonometric Functions
  Limits
  Derivatives
  Application of Derivatives
  Integrals
  Sequences and Series
  Differential Equations
MISCELLANEOUS TOPICS
  Probability and Statistics
  Combinational Analysis
  Numerical Analysis
  Real Variables
  Complex Variables
  Set Theory
  Topology
  Logic
  Algorithmic Processes

PRACTICE TEST I
  Answer Sheet Form I
  Test I
  Answer Key
  Detailed Explanations of Answers

PRACTICE TEST II
  Answer Sheet Form II
  Test II
  Answer Key
  Detailed Explanations of Answers

PRACTICE TEST III
  Answer Sheet Form III
  Test III
  Answer Key
  Detailed Explanations of Answers
PRACTICE TEST IV
  Answer Sheet Form IV
  Test IV
  Answer Key
  Detailed Explanations of Answers

PRACTICE TEST V
  Answer Sheet Form V
  Test V
  Answer Key
  Detailed Explanations of Answers

PRACTICE TEST VI
  Answer Sheet Form VI
  Test VI
  Answer Key
  Detailed Explanations of Answers

ANSWER SHEETS

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