College Algebra
Gain a solid understanding of college algebra concepts, improve problem-solving skills, and build confidence for future math courses.
1.1 Properties of Real Numbers and Algebraic Simplification
1.2 Laws of Exponents and Scientific Notation
1.3 Radicals and Rational Exponent Expressions
1.4 Polynomial Expressions and Operations
1.5 Factoring Techniques for Polynomials
1.6 Simplification of Rational Expressions
2.1 The Cartesian Coordinate Plane and Graphical Representation
2.2 Solving Linear Equations in One Variable
2.3 Algebraic Modeling and Applied Problem Solving
2.4 Complex Numbers and Their Operations
2.5 Methods for Solving Quadratic Equations
2.6 Solving Higher-Degree and Nonlinear Equations
2.7 Linear and Absolute Value Inequalities
3.1 Function Concepts and Notation
3.2 Domain, Range, and Functional Constraints
3.3 Rates of Change and Graphical Behavior of Functions
3.4 Composition of Functions
3.5 Transformations of Graphs
3.6 Absolute Value Functions and Applications
3.7 Inverse Functions and Their Properties
4.1 Characteristics and Representations of Linear Functions
4.2 Mathematical Modeling with Linear Relationships
4.3 Linear Regression and Model Fitting
5.1 Quadratic Functions and Their Graphs
5.2 Power Functions and Higher-Degree Polynomials
5.3 End Behavior and Graphical Analysis of Polynomials
5.4 Polynomial Division Techniques
5.5 Zeros, Roots, and Factor Theorem
5.6 Rational Functions and Asymptotic Behavior
5.7 Radical Functions and Inverse Relationships
5.8 Direct, Inverse, and Joint Variation Models
6.1 Exponential Growth and Decay Functions
6.2 Graphical Analysis of Exponential Functions
6.3 Logarithmic Functions and Definitions
6.4 Graphical Properties of Logarithmic Functions
6.5 Laws and Properties of Logarithms
6.6 Solving Exponential and Logarithmic Equations
6.7 Applications of Exponential and Logarithmic Models
6.8 Exponential Regression and Data Modeling