Schaum's Outline of College Mathematics

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide 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 Dean of the School of Education at SUNY College at New Paltz. He is author of 3000 Solved Problems in Precalculus and 2500 Solved Problems in College Algebra and Trigonometry as well as numerous journal articles.

Part I: Review of Basic Algebra.Sets and the Natural Numbers.Real Numbers and the Number Line.Algebraic Expressions.Review of Cartesian Coordinates.Part II: College Algebra and Analytic Geometry.Functions and Relations.Linear Functions and Equations.Simultaneous Linear Equations.Inequalities.Non-Linear Equations.Simultaneous Inequalities.Graphing Functions, Part I, II.Simultaneous Non-Linear Equations.Logarithmic and Exponential Functions.Logarithmic and Exponential Equations.Graphs of Logarithmic and Exponential Functions.Polynomial Equations, Rational Roots.Irrational Roots of Polynomial Equations.The Circle.Ellipses, Hyperbolas, Parabolas.Rotations and Translations.Parametric Equations.Three Dimensional Analytic Geometry.Part III: Trigonometry.Angle Measurement.The Wrapping Function.The Circular Functions.The Trigonometric Functions.The Inverse Trigonometric Functions.Graphing the Trigonometric Functions.Trigonometric Identities.Trigonometric Equations.The Laws of Sines and Cosines.The Complex Numbers.Vectors.Polar Coordinates and Graphs.Part IV: Topics in Discrete Mathematics.The Binomial Theorem.Permutations and Combinations.Probability.Determinants and Matrices.Sequences and Series.Part V: The Calculus.The Limit.Continuity.The Derivative.Applications of Derivatives.The Fundamental Theorem and the Integral.Applications of Integration.