AHRENS' VIDEO INDEX

for Math 1630

Some videos also apply to DSPM 0800, 0850; and Math 1130, 1710, 1730, 2000

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Definition and examples; function notation and terminology; vertical line test

2

Definition, applications, applying slope formula, special cases, increasing/decreasing intervals

Using point-slope form; standard form; special cases; summary of properties of linear

equations.

An application illustrating the use of linear total cost, total revenue, and total profit

functions; break-even point; uses the four-step method

Using elimination method; checking answers by hand and on calculator

Inconsistent systems and dependent systems

Using the three elementary row operations.

Augmented matrix, Gauss-Jordan method described; step-by-step application

Definition of a matrix, equal matrices, addition, subtraction, scalar multiplication,

linear combination, transpose.

Scalar multiplication, matrix multiplication

The zero and identity matrices; related properties

Existence, forming augmented matrix, using elementary row operations to find
inverse matrix by hand

Graphing systems of inequalities, finding feasible region, finding corner points

Optimization; applying the corner point theorem; a special case

15)
Slack Variables and the Initial Simplex Tableau

Introducing slack variables, initial Simplex tableau, basic variables, reading initial solution

16)
Performing a Pivot

Finding the pivot element and performing the pivot operation, checking for optimization

17)  The Standard Maximization Problem with automation and audio

Analyzing problem/organizing information, writing constraints and objective function

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The primal problem, writing the dual, solving the dual, interpreting the solution

Definition of a determinant, expansion by minors, relationship of determinant and

inverse matrix

20)   Cramer's Rule with automation and audio

Using Cramer's Rule to solve a system of linear equations

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