Series: College Algebra

Thinkwell
Author: Thinkwell
Bio: Founded in 1997, Thinkwell has succeeded in creating... more
Joined: Nov 13, 2008
Teaches: 122 Lessons

Taught by Professor Edward Burger, these lessons were selected from a broader, comprehensive course, College Algebra. This course and others are available from Thinkwell. The full course can be found at www.thinkwell.com/student/product/collegealgebra. Thinkwell's College Algebra course covers equations and inequalities, relations and functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, conic sections and a variety of other AP algebra, advanced algebra and Algebra II topics.

Lessons

College Algebra: Rationalizing Denominators

In this lesson, you will learn how to get square roots (or cube or other roots for that matter) out of the denominator...

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College Algebra: Decoding the Circle Formula

In this lesson, you will learn how to find the (x, y) coordinates for the center of a circle graphed on the Cartesian...

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College Algebra: Piecewise-Defined Functions

In this lesson, we will learn to define, recognize, write, graph and evaluate piecewise math functions. ...

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College Algebra: Polynomial Zeros &...

The zeros of a polynomial are just the places where a polynomial crosses the x-axis, or those values for x, which if you...

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College Algebra: Graphing Polynomial Functions

In this lesson, you will learn how to graph polynomials on the Cartesian coordinate plane (without using a graphing...

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College Algebra: Finding the Inverse of a Function

This lesson will teach you how to find the inverse of a function [f-1(x)] when you are given the function [f(x)] as a...

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College Algebra: Using Exponent Properties

In this lesson, we'll examine how to solve exponential equations. These are equations in which the unknown variable...

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College Algebra: Exponential to Log Functions

The lessons shows us how to go from exponents to logs and from logs to exponents. To start with, Professor Burger...

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College Algebra: Finding Log Function Values

This lesson will show you how to find the value of a logarithm. We will also practice with different bases, logs with...

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College Algebra: Solving for x in Log Equations

This lesson shows you how to solve a log equation. Professor Burger begins by reviewing the relationship between a log...

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College Algebra: Properties of Logarithms

The lesson opens with a review of exponent properties. Next, Professor Burger shows you how to convert between...

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College Algebra: Expanding Logarithmic Expressions

In this lesson, you will learn how to simplify logarithmic expressions by applying the fundamental properties of logs to...

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College Algebra: Solving Exponential Equations

In this lesson, you will learn to solve equations in which the unknown is an exponent. To do so, you will use...

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College Algebra: Solving Logarithmic Equations

This lesson will teach you how to solve an equation with logs in it. To do this, you'll learn to use the properties of...

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College Algebra: Exponential Growth and Decay

One of the most common applications of logs and exponentials is using e (2.718) to calculate rates of growth or rates of...

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College Algebra: Solving Two Equation Systems

In this lesson, we start by reviewing three-equation sets that give us independent systems (meet at one point),...

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College Algebra: Solving with Partial Fractions

In this lesson, you will learn about finding a solution using partial fractions, a technique which will be very useful...

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College Algebra: Partial Fractions

In this lesson, you will learn about partial fractions and the partial fraction decomposition of a rational function. ...

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College Algebra: Multiplying Matrices

In this lesson, you will learn how to correctly multiply matrices. Professor Burger will walk you through how to...

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College Algebra: Using the Gauss-Jordan Method

This lesson shows you how to use the Gauss-Jordan method to solve systems of equations. Professor Burger will walk you...

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College Algebra: Evaluating 2x2 Determinants

In this lesson, you will learn about square matrices (a matrix in which the number of rows equals the number of columns...

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College Algebra: Evaluating nxn Determinants

With larger square matrices, the calculation of the determinant gets more difficult. This lesson shows you a special...

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College Algebra: Inverses: 2x2 Matrices

In this lesson, we will talk about finding the inverse of a matrix. You can only find the inverse of a matrix that is...

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College Algebra: Inverses: 3x3 Matrices

This lesson will show you how to take the approach you would use for calculating the inverse of a 2X2 square matrix in...

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College Algebra: Finding Equations for Ellipses

An ellipse is a collection of points whose combined distance from two fixed points (both called a focus) are the same. ...

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College Algebra: Finding Equations for Hyperbolas

A hyperbola is a collection of points for which the difference in distance between two fixed points (both called a...

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College Algebra: Using the Binomial Theorem

To start with, Professor Burger will review binomials. Then, you will learn what the Binomial Theorem is and how and...

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College Algebra: Binomial Coefficients

This lesson answers the question, How do you find the binomial coefficients appearing in the binomial theorem? To do...

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College Algebra: Solving Permutation Problems

In this lesson, you will learn about permutations and how to solve combinatorics problems that involve mathematical...

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College Algebra: Solving Combination Problems

In this lesson, you will begin by reviewing permutations. Then, you will learn about mathematical combinations and how...

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Bio

About Thinkwell

Founded in 1997, Thinkwell has succeeded in creating a "next-generation" textbook, one that helps students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit www.thinkwell.com.

Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College.

He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America".

Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions.

Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.