M018 - Basic Algebra For Finite Math
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From Sean Sanford April 13th, 2020
What is an Equation? How do equations behave?Here we give some definitions and list some important properties of equality. -
From Sean Sanford April 14th, 2020
Here we go through the process of graphing an equation given in general form. This time, we offer a technique where we plot only the X and Y intercepts, and then… -
From Sean Sanford April 14th, 2020
Here we go through the process of graphing a line that is given in slope-intercept form. We begin by making a table of values. From the table, we plot several points,… -
From Sean Sanford April 16th, 2020
Here we cover a very common type of problem. We are given a point and a slope, and asked to calculate the y-intercept. -
From Sean Sanford April 16th, 2020
In this video we talk about how to calculate slopes, and give some examples. -
From Sean Sanford April 16th, 2020
Here we discuss vertical lines and give the definition of slope of a non-vertical line. -
From Sean Sanford April 16th, 2020
Here we define and discuss parallel and perpendicular lines. One example problem is given for each topic. -
From Sean Sanford April 16th, 2020
Here we combine multiple concepts to solve a complicated question. -
From Sean Sanford April 16th, 2020
Here we examine a scenario where price and demand satisfy a linear relationship. We utilize the techniques in this section to estimate the demand at a certain price… -
From Sean Sanford April 16th, 2020
Here we go over an example of finding an equation for a line that passes through a given point, and is perpendicular to a given line. We give the equation in both… -
From Sean Sanford April 16th, 2020
Here we go over the three main forms that are common for expressing lines. -
From Sean Sanford April 22nd, 2020
Here we discuss solving a consistent system.using both substitution and addition methods. -
From Sean Sanford April 22nd, 2020
Here we discuss solving a dependent system.using both substitution and addition methods. Clarification: at 5:50 I say "consistent system" because the system… -
From Sean Sanford April 20th, 2020
Here we discuss the different types of systems and the number of solutions that are possible. The conclusion is that the only possibilities are 0 solutions, or … -
From Sean Sanford April 22nd, 2020
Here we discuss solving an inconsistent system.using both substitution and addition methods. -
From Sean Sanford April 20th, 2020
Here we discuss the two main algebraic methods for solving 2D systems of linear equations. -
From Sean Sanford June 26th, 2020
Here we use a 2x2 linear system to show how matrices can be used to streamline the elimination technique. -
From Sean Sanford July 13th, 2020
Here we generalize our techniques from 2x2 systems to 3x3 systems. -
From Sean Sanford April 22nd, 2020
Here we introduce interval notation, and give several examples. We also discuss what happens when we take the intersection or the union of two intervals. -
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From Sean Sanford April 22nd, 2020
Here we go through a short example of graphing an inequality on a number line. -
From Sean Sanford April 22nd, 2020
Here we introduce inequalities, and discuss an example where dividing by a negative forces us to flip the sign. -
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From Sean Sanford April 27th, 2020
Here we graph a system of three inequalities. We also do some algebra to verify the coordinates of a certain point. -
From Sean Sanford April 27th, 2020
Here we continue the example from pt1. This time we use the addition method to verify the coordinates of the last point of the triangle. -
From Sean Sanford April 27th, 2020
Here we introduce the idea of graphing systems of inequalities. A short example is given. -
From Sean Sanford April 27th, 2020
Here we work through a word problem about buying tables for a cafeteria. This problem is similar to [4.4, Example 4, pages 244-245] in your textbook, so please take a… -
From Sean Sanford April 29th, 2020
Here we introduce the idea of Linear Programming, and begin an example. -
From Sean Sanford April 29th, 2020
Here we finish the warehouse example, by investigating the values of the objective function. -
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From Sean Sanford June 22nd, 2020
Here we discuss what it means for a set to be empty. We give several examples of empty sets, and make an argument for why we should think of them all as THE Empty Set. -
From Sean Sanford June 24th, 2020
Here we talk about two operations: union and intersection. These are ways of combining sets to make new sets. -
From Sean Sanford June 24th, 2020
Here we discuss universal sets, or universes, and explain what it means to take a complement of a set with respect to a given universe. -
From Sean Sanford August 27th, 2020
Here we go over a simple principle known as the Law of the Excluded Middle. -
From Sean Sanford August 27th, 2020
Here we show some examples of Venn Diagrams involving three sets at a time. -
From Sean Sanford March 13th, 2020
Here we give some examples of how Venn diagrams can be used to help reason about sets. -
From Sean Sanford April 2nd, 2020
I forgot to turn off my webcam >_< Is it better to see my face? Does it make a difference? -
From Sean Sanford April 6th, 2020
In this video, we derive a useful formula relating P(n,r) and factorials. -
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From Sean Sanford April 7th, 2020
Here we tackle a tricky combinations question about playing cards. -
From Sean Sanford April 7th, 2020
Here we introduce combinations, and give a formula for counting them. -
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From Sean Sanford April 8th, 2020
Here we go over the different methods or counting and how they relate to each other.