TY - BOOK AU - Ayres,Frank AU - Schmidt,Philip A AU - Ayres,Frank TI - College mathematics: algebra, discrete mathematics, precalculus, calculus T2 - Schaum's outline series SN - 9780071626477 AV - QA37.3 .A973 2010 PY - 2010/// KW - Mathematics KW - Precalculus KW - Algebra KW - Computer science KW - Problems, exercises, etc N1 - Includes index; Revised edition of: Schaum's outline of theory and problems of college mathematics / Frank Ayres, Jr., Philip A. Schmidt. 3rd ed. c2003; Includes bibliographical references and index; Part I; Review of algebra --; Elements of algebra --; Functions --; Graphs of functions --; Linear equations --; Simultaneous linear equations --; Quadratic functions and equations --; Inequalities --; The Locus of an equation --; The Straight line --; Families of straight lines --; The Circle --; Part II; Topics in discrete mathematics --; Arithmetic and geometric progressions --; Infinite geometric series --; Mathematical induction --; The Binomial theorem --; Permutations --; Combinations --; Probability --; Determinants of orders two and three --; Determinants of order n --; Systems of linear equations --; Part III; Topics in precalculus --; 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 relations and identities --; Trigonometric functions of two angles --; Sum, difference, and product formulas --; Oblique triangles --; Inverse trigonometric functions --; Trigonometric equations --; Complex numbers; The Conic sections --; Transformation of coordinates --; Points in space --; Simultaneous equations involving quadratics --; Logarithms --; Power, exponential, and logarithmic curves --; Polynomial equations, rational roots --; Irrational roots of polynomial equations --; Graphs of polynomials --; Parametric equations --; Part IV; Calculus --; The Derivative --; Differentiation of algebraic expressions --; Applications of derivatives --; Integration --; Polar, spherical, and cylindrical coordinate systems --; Multivariate calculus --; Infinite sequences --; Infinite series --; Power series --; Appendix A; Introduction to the graphing calculator --; Appendix B; The Number system of algebra --; Appendix C; Mathematical modeling --; Appendix D; Integration by parts --; Index ER -