Schaum's outline of theory and problems of college mathematics : algebra, discrete mathematics, trigonometry, geometry, introduction to caculus

Bibliographic Information

Schaum's outline of theory and problems of college mathematics : algebra, discrete mathematics, trigonometry, geometry, introduction to caculus

Frank Ayres, Jr., Philip A. Schmidt

(Schaum's outline series, Schaum's outline series in mathematics)

McGraw-Hill, c1992

2nd ed

Other Title

Theory and problems of college mathematics

College mathematics

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Note

Rev. ed. of: First year college mathematics / Frank Ayres, Jr., c1958

Includes index

Description and Table of Contents

Table of Contents

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.

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