This course covers essential algebra concepts, factoring polynomials, solving equations, graphing equations, properties of functions, linear and quadratic functions, inequalities, polynomial functions, rational functions, composite functions, exponential and logarithmic functions, and their properties. The course aims to teach students the fundamental skills needed to understand and work with algebraic concepts. The teaching method includes lectures, examples, and practice problems. This course is intended for students who want to strengthen their algebra skills or prepare for higher-level math courses.
Overview
Syllabus
A.1 part 1 - Algebra Essentials.
A.1 part 2 - Algebra Essentials.
A.1 part 3 - Algebra Essentials.
A.4 part 1 - Factoring Polynomials.
A.4 part 2 - Factoring Polynomials.
A.4 part 3 - Factoring Polynomials.
A.4 part 4 - Factoring Polynomials.
A.8 - Solving Equations.
F.1 - The Distance and Midpoint Formulas.
F. 2 part 1 - Graphs of Equations in Two Variables; Intercepts; Symmetry.
F.2 part 2 - Graphs of Equations in Two Variables; Intercepts; Symmetry.
F.3 part 1 - Lines.
F.3 part 2 - Lines.
F.4 part 1 - Circles.
F.4 part 2 - Circles.
1.1 part 1 - Functions.
1.1 part 2 - Functions.
1.2 - The Graph of a Function.
1.3 part 1 - Properties of Functions.
1.3 part 2 - Properties of Functions.
1.4 - Library of Functions; Piecewise-defined Functions.
1.5 part 1 - Graphing Techniques: Transformations.
1.5 part 2 - Graphing Techniques: Transformations.
2.1 part 1 - Properties of Linear Functions and Linear Models.
2.1 part 2 - Properties of Linear Functions and Linear Models.
2.2 - Building Linear Models from Data.
2.3 part 1 - Quadratic Functions and Their Zeros.
2.3 part 2 - Quadratic Functions and Their Zeros.
2.4 part 1 - Properties of Quadratic Functions.
2.4 part 2 - Properties of Quadratic Functions.
2.4 part 3 - Properties of Quadratic Functions.
2.5 - Inequalities Involving Quadratic Functions.
2.8 - Equations and Inequalities Involving the Absolute Value Function.
3.1 part 1 - Polynomial Functions and Models.
3.1 part 2 - Polynomial Functions and Models.
3.1 part 3 - Polynomial Functions and Models.
3.2 part 1 - The Real Zeros of a Polynomial Function.
3.2 part 2 - The Real Zeros of a Polynomial Function.
3.3 intro - Complex Zeros; Fundamental Theorem of Algebra.
3.3 - Complex Zeros; Fundamental Theorem of Algebra.
3.4 - Properties of Rational Functions.
3.5 part 1 - The Graph of a Rational Function.
3.5 part 2 - The Graph of a Rational Function.
3.5 part 3 - The Graph of a Rational Function.
4.1 part 1 - Composite Functions.
4.1 part 2 - Composite Functions.
4.2 part 1 - One-to-One Functions; Inverse Functions.
4.2 part 2 - One-to-One Functions; Inverse Functions.
4.2 part 3 - One-to-One Functions; Inverse Functions.
4.2 part 4 - One-to-One Functions; Inverse Functions.
4.3 part 1 - Exponential Functions.
4.3 part 2 - Exponential Functions.
4.3 part 3 - Exponential Functions.
4.3 part 4 - Exponential Functions.
4.4 part 1 - Logarithmic Functions.
4.4 part 2 - Logarithmic Functions.
4.4 part 3 - Logarithmic Functions.
4.5 part 1 - Properties of Logarithms.
4.5 part 2 - Properties of Logarithms.
4.5 part 3 - Properties of Logarithms.
4.6 part 1 - Logarithmic and Exponential Equations.
4.6 part 2 - Logarithmic and Exponential Equations.
Taught by
Kamuela Yong
