Algebra, Discrete Mathematics, Precalculus, CalculusBook - 2010
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Topics include: Elements of Algebra; Functions; Graphs of Functions; Linear Equations; Simultaneous Linear Equations; Quadratic Functions and Equations; Inequalities; Locus of an Equation; The Straight Line; Families of Straight Lines; The Circle; Arithmetic and Geometric Progressions; Infinite Geometric Series; Mathematical Induction; The Binomial Theorem; Permutations; Combinations; Probability; Determinants of Order Two and Three; Determinants of Order; Systems of Linear Equations; Introduction to Transformational Geometry; 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 Trigonometric Relations and Identities; Trigonometric Functions of Two Angles; Sum, Difference, and Product Trigonometric Formulas; Oblique Triangles; Inverse Trigonometric Functions; Trigonometric Equations; Complex Numbers; The Conic Sections; Transformations of Coordinate; Points in Space; Simultaneous Quadratic Equations; Logarithms; Power, Exponential, and Logarithmic Curves; Polynomial Equations, Rational Roots; Irrational Roots of Polynomial Equations; Graphs of Polynomials; Parametric Equations; The Derivative; Differentiation of Algebraic Expressions; Applications of Derivatives; Integration; Infinite Sequences; Infinite Series; Power Series; Polar Coordinates; Introduction to the Graphing Calculator; The Number System of Algebra; and Mathematical Modeling