111
3 453

36:19

Summation Notation

17:27

Expanding and Factoring Expressions

32:16

Solving Quadratic Equations and Equations involving Radicals

32:18

Solving Equations (Linear, Rational, Absolute Value)

26:35

Solving Equations with Nonreal Solutions

16:24

Basic Polynomial Equations, Equations with Rational Exponents, and Equations Quadratic in Form

It's getting silly now, but we're finishing up the equations with real solutions that we can solve at this point. We've start with some easier examples of higher-degree polynomial equations, ramp up to some equations with rational exponents, and finish off with equations which are quadratic in form (which we'll solve by u-substitutions even though that isn't absolutely necessary).

Відео

36:19

The Binomial Theorem

Переглядів 20Місяць тому

A shortcut rule for expanding powers of binomials. Includes an introduction to combinations, both found using the standard formula and Pascal's triangle.

17:27

Summation Notation

Переглядів 23Місяць тому

An introduction to the upper case sigma notation that can be used to represent a sum of terms of a sequence. Ends with one of my favorite facts in math: the sum of the first n positive odd integers is equal to the square of n (it's not earth shattering or anything, but if you don't think it's kinda cool, then get outta my face 'cause we can't be friends).

32:16

Expanding and Factoring Expressions

Переглядів 9Місяць тому

Expanding through multiplication (multiplying expressions using the distributive property) and factoring expressions (rewriting expressions as a product, which is technically also uses the distributive property). This ain't just that meat 'n' potatoes factoring you've done previously, though there are a couple of humdingers at the end.

Solving Quadratic Equations and Equations involving Radicals

32:18

Solving Quadratic Equations and Equations involving Radicals

Переглядів 11Місяць тому

A review of the zero factor theorem, extraction of roots, and the quadratic formula, as well as an example of an equation where the variable is trapped under a square root and an (easier) example of an equation where the variable is under a cube root.

Solving Equations (Linear, Rational, Absolute Value)

26:35

Solving Equations (Linear, Rational, Absolute Value)

Переглядів 7Місяць тому

A review of the strategies for solving the equations typically covered in a beginning algebra class. We step it up slightly with a couple of problems where we rearrange formulas (an important skill for you future calculus students).

Solving Equations with Nonreal Solutions

16:24

Solving Equations with Nonreal Solutions

Переглядів 7Місяць тому

Expanding our possible solutions into the entire set of complex numbers, including an example of how to find all three cube roots of a nonzero real number.

18:50

Circles

Переглядів 4Місяць тому

Finding the standard equation of a circle from characteristics of that circle as well as finding the center and radius from an equation that is NOT in standard form (using everyone's favorite process completing the square).

Applications of Linear Systems with Three Unknowns

19:46

Applications of Linear Systems with Three Unknowns

Переглядів 7Місяць тому

Word problems involving systems of three linear equations in three unknowns. We're going to be lazy and solve the systems with a graphing calculator, so the main focus will be setting up the equations.

Solving Linear Systems with a Graphing Calculator

26:45

Solving Linear Systems with a Graphing Calculator

Переглядів 9Місяць тому

Using the rref calculator function to solve linear systems of equations with a TI-83/84. Includes examples of special cases with no solution or infinitely many solutions.

29:14

Using Matrices to Solve Linear Systems

Переглядів 15Місяць тому

Definition of a matrix and then a discussion of how to represent and solve linear systems of equations.

Graphing Solutions of Inequalities in Two Variables

26:48

Graphing Solutions of Inequalities in Two Variables

Переглядів 3Місяць тому

Too annoyed to type up a description. Just watch the damned video.

Solving Systems of Equations by the Elimination Method

31:20

Solving Systems of Equations by the Elimination Method

Переглядів 4Місяць тому

Solving (mostly linear) systems by elimination. This is also called the addition method. Three applications at the end (one business example, one chemistry example, and a decent physics example).