# COLLEGE ALGEBRA

College Algebra by Missouri State University – this course includes the study of linear and quadratic equations, inequalities and their applications, polynomial, rational, exponential, and logarithmic functions, and systems of equations.

Text from Wikipedia article – Algebra (from Arabic “al-jabr” meaning “reunion of broken parts”) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.[3] As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

 Course Introduction Missouri State University 14:57 Lecture 1 – Basics of Graphing Missouri State University 46:05 Lecture 2 – Basics of Function Missouri State University 41:48 Lecture 3 – Linear Equations Missouri State University 38:12 Review 1 – Systems of Equations Missouri State University 48:10 Review 2 – Factoring Polynomials Missouri State University 51:12 Review 3 – Complex Number System Missouri State University 48:32 Lecture 4 – Piecewise-Defined Functions Missouri State University 39:48 Lecture 5 – Transformations I Missouri State University 45:23 Lecture 6 – Transformations II Missouri State University 50:22 Lecture 7 – Creating Mega-Functions with Arithmetic Operations of Functions Missouri State University 49:19 Lecture 8 – Creating Mega-Functions with Function Composition Missouri State University 47:05 Lecture 9 – Inverse Functions or In Reverse Missouri State University 40:45 Lecture 10 – Solving Linear and Rational Equations Missouri State University 42:19 Lecture 11 – Solving Quadratic Equations Missouri State University 46:43 Lecture 12 – Solving Equations with Advanced Factoring Missouri State University 45:26 Lecture 13 – Solving Radical Equations Missouri State University 30:54 Lecture 14 – Graphing and Applying Quadratic Equations Missouri State University 47:06 Lecture 15 – Graphing Polynomials Missouri State University 35:58 Lecture 16 – Graphing Rational Functions Part 1 Missouri State University 48:59 Lecture 17 – Graphing Rational Functions Part 2 Missouri State University 46:09 Lecture 18 – Solving Polynomial and Rational Inequalities Missouri State University 48:21 Lecture 19 – Absolute Values Missouri State University 32:48 Lecture 20 – Basics of Exponential Functions Missouri State University 38:27 Lecture 21 – Interesting Applications Missouri State University 45:51 Lecture 22 – Basic Logarithms Missouri State University 42:22 Lecture 23 – Log Properties Missouri State University 45:07 Lecture 24 – Solving Exponential Equations Missouri State University 42:59 Lecture 25 – Solving Equations with Logarithms Missouri State University 34:41 Lecture 26 – Exponential Growth Day 1 Missouri State University 38:33 Lecture 27 – Exponential Growth Day 2 Missouri State University 24:03 Lecture 28 – Basics of Sequences Missouri State University 46:04 Lecture 29 – Arithmetic Sequences and Series Missouri State University 47:43 Lecture 30 – Geometric Sequences and Series Missouri State University 48:19 Lecture 31 – Binomial Expansions Missouri State University 54:03 Lecture 33 – Linear Equations and Direct Variation Missouri State University 36:28 Lecture 34 – Inverse, Joint and Combined Variations Missouri State University 22:36 Lecture 35 – Non-Linear Systems Missouri State University 40:01 Lecture 36 – Basics of Modeling Missouri State University 37:08

COLLEGE ALGEBRA