* Polynomials Exponents. * Rational and Radical Expressions* Linear and Non-Linear Equations * Linear and Non-Linear Inequalities * Absolute Value in Equations and Inequalities.* Analytic Geometry * Functions * Linear Functions * Transformations and Graphs* Quadratic Functions * Algebra of Functions * Polynomial Functions * Rational Functions * Algebraic Functions; Variations * Exponential Functions * Logarithmic Functions * Exponential and Logarithmic Equations * Trigonometric Functions * Graphs of Trigonometric Functions * Angles * Trigonometric Identities and Equations * Sum, Difference, Multiple, and * Half-Angle Formulas * Inverse Trigonometric Functions. * Triangles * Vectors * Polar Coordinates; Parametric Equations * Trigonometric Form of Complex Numbers * Systems of Linear Equations * Gaussian and Gauss-Jordan Elimination * Partial Fraction * Decomposition * Non-Linear Systems of Equations * Introduction to Matrix Algebra * Matrix Multiplication and Inverses * Determinants and Cramer's Rule. * Loci; Parabolas * Ellipses and Hyperbolas * Rotation of Axes * Conic Sections * Sequences and Series * The Principle of Mathematical Induction * Special Sequences and Series* The Binomial Theorem
Fred Safier, M.S. (San Francisco, CA) has been a mathematics Instructor at City College of San Franscisco since 1967 and is the author of numerous students' solution manuals in algebra, trigonometry, and precalculus.