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YouTube

College Algebra

via YouTube

Overview

Dive into a comprehensive 13-hour course covering essential college algebra concepts. Master algebra fundamentals, polynomial factoring, and equation solving. Explore functions, including linear, quadratic, polynomial, rational, exponential, and logarithmic types. Learn to graph equations, analyze function properties, and apply transformations. Discover the distance and midpoint formulas, study complex numbers, and understand the Fundamental Theorem of Algebra. Practice building mathematical models from data and solving inequalities. Develop skills in working with composite and inverse functions, as well as logarithmic and exponential equations.

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

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