**Lecture #1 of 40**

**Course Description:** This is a college algebra course with Professor Richard Delaware of the The University of Missouri, Kansas City. Algebra is a branch of pure mathematics and focuses on rules of operations and relations. This course covers polynomial expressions, geometry, graphs, functions, and more.

## Numbers

This lecture discusses sets of objects, natural numbers, real numbers and how to find distance between two points.

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## Language of Mathematics

This lecture gives an overview of the language of mathematics.

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## The Powers that Be-Exponents

In this lecture, we discuss about powers, exponents, operations with integer and rational exponents, square roots and nth roots.

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## P I

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## Polynomial Expressions

In this lecture, we learn more about dividing polynomials and rational expressions.

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## More numbers and Geometry

In this lecture, we learn about complex numbers, some area formulae and the Pythagorean theorem.

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## Graphs

In this lecture, we learn about rectangular co-ordinates, midpoint and how to solve graphs on the graphing device.

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## Graphs (cont’d)

In this lecture, we learn about the graphs of equations, intercepts, symmetry and slopes.

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## Graphs (cont’d)

This lecture gives an overview of equations of lines, parallel and perpendicular lines and graphing a circle.

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## Functions and Their Graphs

This lecture discusses Functions: the central idea of Mathematics.

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## Functions and Their Graphs (cont’d)

More about functions, finding local maximums and minimums, etc.

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## Functions and Their Graphs (cont’d)

Exercises related to functions are explained.

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## Functions and Their Graphs (cont’d)

Graphing techniques like shifts, stretches and compressions are explored.

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## Functions and Their Graphs (cont’d)

The algebra of functions.

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## Functions and Their Graphs (cont’d)

How to construct functions.

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## Equations in One Variable

This lecture discusses linear and non-linear equations and solving them algebraically and graphically.

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## Equations in One Variable (cont’d)

This lecture teaches how to solve Quadratic Equations.

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## Equations in One Variable (cont’d)

More examples on equations explained.

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## Equations in One Variable (cont’d)

In this lecture,we learn some more mathematical models.

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## Equations in One Variable (cont’d)

In this lecture, we learn about radical equations and solving factorable equations.

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## Lecture 21

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## Inequalities in One Variable

In this lecture, we learn about quadratic inequalities, rational inequalities and higher degree inequalities.

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## Inequalities in One Variable (cont’d)

In this lecture, we learn what happens when absolute value appears in equations and inequalities.

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## Polynomial and Rational Functions

We learn about quadratic functions and graphing them.

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## Polynomial and Rational Functions (cont’d)

In this lecture, we learn about general polynomial functions, power functions and their graphs.

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## Locating the Zeros of a Polynomial Function

In this lecture, we learn how to find zeroes of a polynomial function and check whether they are positive or negative.

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## Locating the Zeroes of a Polynomial Function (cont’d)

In this lecture, we learn how to locate the zeroes of a polynomial function.

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## Rational Functions

In this lecture, we learn about asymptotes and finding asymptotes of rational functions.

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## Exponential Functions

This lecture gives an overview of one-one functions, exponential functions and their graphs.

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## Logarithmic Functions

In this lecture, we learn about inverse funtions, logarithmic functions and their graphs.

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## Logarithmic Functions (cont’d)

In this lecture, we learn about the properties of logarithmic functions and solving logarithmic functions.

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## Exponential Functions

In this lecture, we learn about solving exponential functions and more about exponential models.

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## Systems of Linear Equations

In this lecture, we learn about systems of linear equations, solving them by substitution and elimination.

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## Systems of Linear Equations (cont’d)

In this lecture, we have some more exercises explained.

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## System of Non-Linear Equations

In this lecture, we learn solving a system of two non-linear equations in two variables.

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## Sequences

In this lecture, we learn about infinite sequences and how to solve them.

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## Sequences (cont’d)

In this lecture, we look into arithmetic sequences and geometric sequences.

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## Series & Induction

In this lecture, we learn about geometric series and their infinite sums and principal of mathematical induction.

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## The Binomial Theorem

In this lecture, we learn about the Binomial coefficient and the Binomial Theorem.

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## Conclusion

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This is awesome thanks.

Great course. I’m starting all over and this has been very helpful.

This is awesome! I’ve been waiting 20 years for classes like this.