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Summary
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
Functions
Graphs of Functions
Linear Equations
Simultaneous Linear Equations
Quadratic Functions and Equations
Inequalities
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
Permutations
Combinations
Probability
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