TOPICS COVERED: Prelims Sets of Numbers Field Axioms and Properties Provable from Axioms Variables, Expressions, and Polynomials Equations, Inequalities, and Absolute Value Functions and Relations Graphs Two Variables Graphs of Functions and Relations Functions in the Real World Linear Functions and Equations Equations of Linear Functions and their Graphs Linear Functions as Math Models Linear Systems of Equations and Inequalities Determinants, Cramer’s Rule Matrix Operations Inverse of a Matrix Linear Programming Quadratic Functions and Relations Graphs of Quadratic Functions Parabola Graphs of Quadratic Relations Parabola, Circle, Ellipse, Hyperbola Equations of Quadratics from their Graphs Imaginary and Complex Numbers Quadratic and Linear Functions as Math Models Equations from Geometrical Definitions Systems of Quadratics Exponential and Logarithmic Functions Properties Exponential Functions Powers of Radicals without Calculators Scientific Notation Solving Exponential Equations Properties of Logarithms Exponential and Other Functions as Mathematical Models |
Rational and Irrational Algebraic Functions Rational and Irrational Function Graphs Discontinuities, Asymptotes, and Critical Points Special Products, Factoring, Graphing, Division Products, Quotients, Sums, & Differences of Rational & Irrational Expressions Fractional and Irrational Equations: Extraneous Solutions Variation Functions Higher Degree Functions Complex Number System Equations from solutions Synthetic Division and Roots Higher Degree Functions and Math Models Trigonometry Periodic Functions Graphs of General Sinusoids Inverse Trigonometric Relations and Functions Sinusoidal Functions and Inverse Trigonometric Relations as Math Models Properties of Trigonometric Functions Trigonometric Identities Trigonometric Equations Right Triangle Trigonometry Oblique Triangles: Law of Sines and Cosines Area of Triangles Real World Triangle Problems Probability and Data Analysis Words associated with probability Counting Principles Permutations and Combinations Properties of Probability |

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