Course Contents at a Glance
Module 1: Algebra Essentials
- Real Numbers
- Exponents and Scientific Notation
- Radicals and Rational Exponents
Module 2: Polynomial and Rational Expressions
- Polynomial Basics
- Factoring Polynomials
- Rational Expressions
Module 3: The Rectangular Coordinate System and Equations of Lines
- Points and Lines in the Plane
- Equations of Lines
Module 4: Equations and Inequalities
- Equation-Solving Techniques
- Models and Applications
- Quadratic Equations
- Linear Inequalities and Absolute Value Inequalities
Module 5: Function Basics
- Characteristics of Functions and Their Graphs
- Domain and Range of Functions
- Rates of Change and Behavior of Graphs
Module 6: Algebraic Operations on Functions
- Compositions of Functions
- Transformations of Functions
- Inverse Functions
Module 7: Linear and Absolute Value Functions
- Linear Functions
- Graphs of Linear Functions
- Modeling With Linear Functions
Module 8: Quadratic Functions
- Complex Numbers
- Graphs of Quadratic Functions
- Analysis of Quadratic Functions
Module 9: Power and Polynomial Functions
- Characteristics of Power and Polynomial Functions
- Graphs of Polynomial Functions
- Divide Polynomials
- Methods for Finding Zeros of Polynomials
Module 10: Rational and Radical Functions
- Rational Functions
- Radical Functions
- Variation
Module 11: Exponential and Logarithmic Functions
- Exponential Functions
- Graphs of Exponential Functions
- Logarithmic Functions
- Graphs of Logarithmic Functions
Module 12: Exponential and Logarithmic Equations and Models
- Logarithmic Properties
- Exponential and Logarithmic Equations
- Exponential and Logarithmic Models
Module 13: Systems of Equations and Inequalities
- Systems of Linear Equations: Two Variables
- Systems of Nonlinear Equations and Inequalities
- Systems of Linear Equations: Three Variables
- Partial Fractions: an Application of Systems
Module 14: Solve Systems With Matrices
- Matrices and Matrix Operations
- Gaussian Elimination
- Solve Systems with Inverses
Module 15: Conic Sections
- The Ellipse
- The Hyperbola
- The Parabola
Module 16: Sequences and Series
- Sequences and Their Notations
- Arithmetic Sequences
- Geometric Sequences
- Series and Their Notations
Module 17: Probability and Counting Principles
- Counting Principles
- Probability
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