College Mathematics

College Mathematics

by Philip Schmidt, Frank Ayres Jr.


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Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

  • 1,600 fully solved problems
  • Complete review of all course fundamentals

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!

Schaum's Outlines--Problem Solved.

Topics include: Elements of Algebra;
Graphs of Functions;
Linear Equations;
Simultaneous Linear Equations;
Quadratic Functions and Equations;
Locus of an Equation;
The Straight Line;
Families of Straight Lines;
The Circle;
Arithmetic and Geometric Progressions;
Infinite Geometric Series;
Mathematical Induction;
The Binomial Theorem;
Determinants of Order Two and Three;
Determinants of Order;
Systems of Linear Equations;
Introduction to Transformational Geometry;
Angles and Arc Length;
Trigonometric Functions of a General Angle;
Trigonometric Functions of an Acute Angle;
Reduction to Functions of Positive Acute Angles;
Graphs of the Trigonometric Functions;
Fundamental Trigonometric Relations and Identities;
Trigonometric Functions of Two Angles;
Sum, Difference, and Product Trigonometric Formulas;
Oblique Triangles;
Inverse Trigonometric Functions;
Trigonometric Equations;
Complex Numbers;
The Conic Sections;
Transformations of Coordinate;
Points in Space;
Simultaneous Quadratic Equations;
Power, Exponential, and Logarithmic Curves;
Polynomial Equations, Rational Roots;
Irrational Roots of Polynomial Equations;
Graphs of Polynomials;
Parametric Equations;
The Derivative;
Differentiation of Algebraic Expressions;
Applications of Derivatives;
Infinite Sequences;
Infinite Series;
Power Series;
Polar Coordinates;
Introduction to the Graphing Calculator;
The Number System of Algebra; and
Mathematical Modeling

Product Details

ISBN-13: 9780071626477
Publisher: McGraw-Hill Professional Publishing
Publication date: 03/23/2010
Series: Schaum's Outline Series
Pages: 480
Sales rank: 769,567
Product dimensions: 8.10(w) x 10.70(h) x 0.90(d)

About the Author

The late Frank Ayres, Jr., Ph.D., was formerly a professor in and head of the Department of Mathematics at Dickinson College, Carlisle, Pennsylvania. He is the author or coauthor of eight Schaum's Outlines, including Calculus, Trigonometry, Differential Equations, and Modern Abstract Algebra.

Philip A. Schmidt, Ph.D., has a B.S. from Brooklyn College (with a major in mathematics), an M.A. in mathematics, and a Ph.D. in mathematics education from Syracuse University. He is currently the program coordinator in mathematics and science education at The Teachers College at Western Governors University in Salt Lake City, Utah.

Table of Contents

Schaum's Outline of College Mathematics, 4ed

Elements of Algebra


Graphs of Functions

Linear Equations

Simultaneous Linear Equations

Quadratic Functions and Equations


Locus of an Equation

The Straight Line

Families of Straight Lines

The Circle

Arithmetic and Geometric Progressions

Infinite Geometric Series

Mathematical Induction

The Binomial Theorem




Determinants of Order Two and Three

Determinants of Order

Systems of Linear Equations

Introduction to Transformational Geometry

Angles and Arc Length

Trigonometric Functions of a General Angle

Trigonometric Functions of an Acute Angle

Reduction to Functions of Positive Acute Angles

Graphs of the Trigonometric Functions

Fundamental Trigonometric Relations and Identities

Trigonometric Functions of Two Angles

Sum, Difference, and Product Trigonometric Formulas

Oblique Triangles

Inverse Trigonometric Functions

Trigonometric Equations

Complex Numbers

The Conic Sections

Transformations of Coordinate

Points in Space

Simultaneous Quadratic Equations


Power, Exponential, and Logarithmic Curves

Polynomial Equations, Rational Roots

Irrational Roots of Polynomial Equations

Graphs of Polynomials

Parametric Equations

The Derivative

Differentiation of Algebraic Expressions

Applications of Derivatives


Infinite Sequences

Infinite Series

Power Series

Polar Coordinates

Introduction to the Graphing Calculator

The Number System of Algebra

Mathematical Modeling

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