College Algebra
Algebraic Expressions and Equations
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Review of Real Numbers and Their Properties
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Operations with Polynomials
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Factoring Techniques
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Solving Linear and Quadratic Equations
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Complex Numbers and Operations
Functions and Graphs
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Definition of a function
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Graphing Functions
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Transformations of Functions
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Inverse Functions and Composition of Functions
Polynomial and Rational Functions
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Graphing Polynomial Functions
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Division of Polynomials
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The Remainder and Factor Theorems
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Graphing Rational Functions
Exponential and Logarithmic Functions
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Exponential Growth and Decay
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Laws of Exponents and Simplifying Expressions
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Definition and Properties of Logarithms
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Solving Exponential and Logarithmic Equations
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Applications
Systems of Equations and Matrices
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Solving Systems of Equations
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Matrix Operations
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Cramer's Rule and Applications
Sequences, Series, and Probability
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Arithmetic and Geometric Sequences
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Summation Notation
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Binomial Theorem and Expanding Polynomials
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Basic Probability and Counting Principles
Conic Sections
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Equations and Graphing of Circles, Parabolas, Ellipses, and Hyperbolas
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Focus, Directrix, and Applications in Real Life