Schaum's Outline of Theory and Problems of College Mathematics

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  • Edition: 3rd
  • Format: Paperback
  • Copyright: 2003-04-16
  • Publisher: McGraw-Hill
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The third edition of College Mathematics will cover fundamentals in typical college math courses in algebra, trigonometry, precalculus, finite mathematics, and Calculus I. This revision of the highly successful outline (348,000 copies sold over two editions) is directed to students taking the required mathematics courses in the first year of university study. More than ever, entering college students are underprepared, and the mathematics curriculum in the survey-level course has changed over the last decade to accommodate their needs. This new version will be structured to conform to all these curriculum changes, besides supplying a substantial number of fully solved problems for practice and comprehension. The book will cover the course topics most commonly taken to fulfill the basic math requirement: a review of Elementary Algebra, College Algebra, Trigonometry, Discrete Mathematics, and Introduction to Calculus.

Author Biography

Philip Schmidt, Ph.D. was the associate provost of Berea College, with the academic rank of professor of mathematics. He is the author of several Schaum's Outline titles.

Table of Contents

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 n

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

Rewards Program

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