附註:Includes 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 2. 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 -- Introduction to transformational geometry -- Part 3. ǂt 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 4. Introduction to calculus -- The derivative -- Differentiation of algebraic expressions -- Applications of derivatives -- Integration -- Infinite sequences -- Infinite sequences -- Power series -- Polar coordinates -- Appendix A : Introduction to the graphing calculator -- Appendix B : The number system of algebra -- Appendix C : Mathematical modeling -- Index...
