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precalculus
by yi yao
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precalculus

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Sequences. series, and Combinatorics

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Systems of Equations and Matrices

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Basic Concepts of Algebra

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The real number system

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Integer Exponents, Scientific Notations and order of operations

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addition, subtraction, and Multiplication of polynomials

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factoring

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rational expressions

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radical notation and rational exponents

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New node

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Graphs, Functions, and Models

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intro to graphing

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functions and graphs

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Linear Functions. Slope and applications

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equations of lines and Modeling

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more on functions

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The algebra of functions

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symmetry and transformations

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Polynomial and Rational Functions

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polynomial functions and models

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polynomial division: the remainder and factor theorems

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theorems about zeros of polynomial functions

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rational functions

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polynomial and rational inequalities

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variation and applications

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functions, equations and Inequalities

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polynomial functions and models

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complex numbers

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Quadratic equations, functions and models

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analyzing graphs of quadratic functions

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solving linear inequalities

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Exponential and Logarithmic Funtions

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inverse functions

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exponential functions and Graphs

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logarithmic functions and graphs

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properties of logarithmic functions

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properties of log functions

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solving exponential and logarithmic equations

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applications and models: growth and decay

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The Trigonometric Funtions

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trig functions of acute angles

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applications of right triangles

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trig functions of any angle

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New node

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Trigonometric Indentities, Inverse Functions, and Equations

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Conic sections

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Applications of Trigonometry

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