| Contents: |
Preliminaries -- Polynomials -- Exponents -- Rational and radical expressions -- Linear and nonlinear equations -- Linear and nonlinear inequalities -- Absolute value in equations and equalities -- Analytic geometry -- Functions -- Linear functions -- Transformations and graphs -- Quadratic functions -- Algebra of functions -- Polynomial functions -- Rational functions -- Algebraic functions; variation -- Exponential functions -- Logarithmic functions -- Exponential and logarithmic equations -- Trogomometric functions -- Graphs of trigonometric functions -- Angles -- Trigonometric identities and equations -- Sum, differnece, multiple, and half-angle formulas -- Inverse trigomometric functions -- Triangles -- Vectors -- Polar coordinates; parametric equations -- Trigonomettric form of complex numbers -- Systems of linear equations -- Gaussian and Gauss-Jordan elimination -- Partial fraction decomposition -- Nonlinear 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 -- Principle of mathematical induction -- Special sequences and series -- Binomial theorem. |
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