This course is designed for university students taking intermediate algebra and college algebra and high school students taking algebra 1, algebra 2, or algebra 3.
Here is a list of topics covered in this course:
1. Basic Arithmetic - Addition, Subtraction, Multiplication, and Division
2. Fractions Review - This includes adding, subtracting, multiplying and dividing fractions.
3. Solving Linear Equations - Includes single-step and multi-step equations with variables and parentheses on both sides.
4. Order of Operations - Includes PEMDAS and evaluating mathematical expressions.
5. Absolute Value Functions & Inequalities
6. Graphing Linear Equations Using Slope & The Y-Intercept
7. Polynomials - Addition, Subtraction, Multiplication, and Division.
8. Factoring - Difference of Perfect Squares, Trinomials, Sum and Difference of Perfect Cubes & More
9. Systems of Linear Equations - Examples Include Two and Three Variables along with word problems.
10. Quadratic Equations - Quadratic Formula, Completing The Square, Graphing Quadratic Equations, and Word Problems.
11. Rational Expressions - Addition, Subtraction, Multiplication, Division, Graphing, and Solving Rational Equations.
12. Radical Expressions - This section discusses how to simplify radical expressions and how to solve radical equations.
13. Complex Imaginary Numbers - Basic Operations, Solving Equations, and Graphing
14. Exponential and Logarithmic Functions
15. Functions - Domain and Range, Evaluating Functions, Horizontal and Vertical Line Test
16. Conic Sections - Circles, Ellipses, Hyperbolas, and Parabolas
17. Arithmetic and Geometric Sequences