**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.

[slider group="1" title="Watch Lecture 1"]

[/slider]

## Language of Mathematics

This lecture gives an overview of the language of mathematics.

[slider group="1" title="Watch Lecture 2"]

[/slider]

## The Powers that Be-Exponents

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

[slider group="1" title="Watch Lecture 3"]

[/slider]

## P I

[slider group="1" title="Watch Lecture 4"]

[/slider]

## Polynomial Expressions

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

[slider group="1" title="Watch Lecture 5"]

[/slider]

## More numbers and Geometry

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

[slider group="1" title="Watch Lecture 6"]

[/slider]

## Graphs

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

[slider group="1" title="Watch Lecture 7"]

[/slider]

## Graphs (cont’d)

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

[slider group="1" title="Watch Lecture 8"]

[/slider]

## Graphs (cont’d)

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

[slider group="1" title="Watch Lecture 9"]

[/slider]

## Functions and Their Graphs

This lecture discusses Functions: the central idea of Mathematics.

[slider group="1" title="Watch Lecture 10"]

[/slider]

## Functions and Their Graphs (cont’d)

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

[slider group="1" title="Watch Lecture 11"]

[/slider]

## Functions and Their Graphs (cont’d)

Exercises related to functions are explained.

[slider group="1" title="Watch Lecture 12"]

[/slider]

## Functions and Their Graphs (cont’d)

Graphing techniques like shifts, stretches and compressions are explored.

[slider group="1" title="Watch Lecture 13"]

[/slider]

## Functions and Their Graphs (cont’d)

The algebra of functions.

[slider group="1" title="Watch Lecture 14"]

[/slider]

## Functions and Their Graphs (cont’d)

How to construct functions.

[slider group="1" title="Watch Lecture 15"]

[/slider]

## Equations in One Variable

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

[slider group="1" title="Watch Lecture 16"]

[/slider]

## Equations in One Variable (cont’d)

This lecture teaches how to solve Quadratic Equations.

[slider group="1" title="Watch Lecture 17"]

[/slider]

## Equations in One Variable (cont’d)

More examples on equations explained.

[slider group="1" title="Watch Lecture 18"]

[/slider]

## Equations in One Variable (cont’d)

In this lecture,we learn some more mathematical models.

[slider group="1" title="Watch Lecture 19"]

[/slider]

## Equations in One Variable (cont’d)

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

[slider group="1" title="Watch Lecture 20"]

[/slider]

## Lecture 21

[slider group="1" title="Watch Lecture 21"]

[/slider]

## Inequalities in One Variable

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

[slider group="1" title="Watch Lecture 22"]

[/slider]

## Inequalities in One Variable (cont’d)

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

[slider group="1" title="Watch Lecture 23"]

[/slider]

## Polynomial and Rational Functions

We learn about quadratic functions and graphing them.

[slider group="1" title="Watch Lecture 24"]

[/slider]

## Polynomial and Rational Functions (cont’d)

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

[slider group="1" title="Watch Lecture 25"]

[/slider]

## 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.

[slider group="1" title="Watch Lecture 26"]

[/slider]

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

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

[slider group="1" title="Watch Lecture 27"]

[/slider]

## Rational Functions

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

[slider group="1" title="Watch Lecture 28"]

[/slider]

## Exponential Functions

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

[slider group="1" title="Watch Lecture 29"]

[/slider]

## Logarithmic Functions

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

[slider group="1" title="Watch Lecture 30"]

[/slider]

## Logarithmic Functions (cont’d)

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

[slider group="1" title="Watch Lecture 31"]

[/slider]

## Exponential Functions

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

[slider group="1" title="Watch Lecture 32"]

[/slider]

## Systems of Linear Equations

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

[slider group="1" title="Watch Lecture 33"]

[/slider]

## Systems of Linear Equations (cont’d)

In this lecture, we have some more exercises explained.

[slider group="1" title="Watch Lecture 34"]

[/slider]

## System of Non-Linear Equations

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

[slider group="1" title="Watch Lecture 35"]

[/slider]

## Sequences

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

[slider group="1" title="Watch Lecture 36"]

[/slider]

## Sequences (cont’d)

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

[slider group="1" title="Watch Lecture 37"]

[/slider]

## Series & Induction

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

[slider group="1" title="Watch Lecture 38"]

[/slider]

## The Binomial Theorem

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

[slider group="1" title="Watch Lecture 39"]

[/slider]

## Conclusion

[slider group="1" title="Watch Lecture 40"]

[/slider]

This is awesome thanks.

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