Table of Contents

• 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

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