What you'll learn:
- At the end of my course, students will be able to understand the basic fundamentals and principles of algebra.
This course is designed for universitystudents 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
