AHRENS' VIDEO INDEX

for Math 1630

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

To view videos, click on the slides

1)    What is a Function? 

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

2)    The Slope of a Line

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

3)    Writing Linear Equations 

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

  equations.  

4)    Cost/Revenue/Profit Analysis

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

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

5)    Solving a Linear System: Using Elimination

  Using elimination method; checking answers by hand and on calculator

6)    Solving a Linear System: When Things Go Wrong 

  Inconsistent systems and dependent systems

7)    Elementary Row Operations    

8)    Solving Linear Systems Using Gauss-Jordan Elimination

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

9)    Matrix Math

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

  linear combination, transpose.

10)   Matrix Multiplication 

11)   Special Matrices    

13)   Systems of Linear Inequalities

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

14)   The Corner Point Theorem

        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    

19)   Finding the Determinant