Full 40-Lecture Course: College Algebra

Full 40-Lecture Course: College Algebra

Full 40-Lecture Course: College Algebra

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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Full 40-Lecture Course: College Algebra, 8.1 out of 10 based on 26 ratings

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