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From Sean Sanford
89 plays 0Here we solve a simple example, and then a more complicated one. -
From Sean Sanford
71 plays 0What is an Equation? How do equations behave?Here we give some definitions and list some important properties of equality. -
From Sean Sanford
55 plays 0Preliminaries -
From Sean Sanford
52 plays 0Here 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
38 plays 0Here 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
36 plays 0Here 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
42 plays 0In this video we talk about how to calculate slopes, and give some examples. -
From Sean Sanford
36 plays 0Here we discuss vertical lines and give the definition of slope of a non-vertical line. -
From Sean Sanford
38 plays 0Here we define and discuss parallel and perpendicular lines. One example problem is given for each topic. -
From Sean Sanford
36 plays 0Here we combine multiple concepts to solve a complicated question. -
From Sean Sanford
26 plays 0Here 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
36 plays 0Here 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
41 plays 0Here we go over the three main forms that are common for expressing lines. -
From Sean Sanford
41 plays 0Here we discuss solving a consistent system.using both substitution and addition methods. -
From Sean Sanford
24 plays 0Here 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
27 plays 0Here 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
20 plays 0Here we discuss solving an inconsistent system.using both substitution and addition methods. -
From Sean Sanford
38 plays 0Here we discuss the two main algebraic methods for solving 2D systems of linear equations. -
From Sean Sanford
108 plays 0Here we use a 2x2 linear system to show how matrices can be used to streamline the elimination technique. -
From Sean Sanford
60 plays 0Here we generalize our techniques from 2x2 systems to 3x3 systems. -
From Sean Sanford
39 plays 0Here we introduce interval notation, and give several examples. We also discuss what happens when we take the intersection or the union of two intervals. -
From Sean Sanford
30 plays 0Here we simplify and graph a compound inequality. -
From Sean Sanford
24 plays 0Here we go through a short example of graphing an inequality on a number line. -
From Sean Sanford
28 plays 0Here we introduce inequalities, and discuss an example where dividing by a negative forces us to flip the sign. -
From Sean Sanford
38 plays 0Here we discuss how to graph inequalities in two variables. -
From Sean Sanford
36 plays 0Here we graph a system of three inequalities. We also do some algebra to verify the coordinates of a certain point. -
From Sean Sanford
23 plays 0Here 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
22 plays 0Here we introduce the idea of graphing systems of inequalities. A short example is given. -
From Sean Sanford
13 plays 0Here 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
25 plays 0Here we introduce the idea of Linear Programming, and begin an example. -
From Sean Sanford
12 plays 0Here we finish the warehouse example, by investigating the values of the objective function. -
From Sean Sanford
19 plays 0Here we continue the example from the previous video. -
From Sean Sanford
127 plays 0Here we give the definition of a set, and give some examples. -
From Sean Sanford
101 plays 0Here we present the idea of subsets. Several examples are given. -
From Sean Sanford
66 plays 0Here 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
89 plays 0Here we talk about two operations: union and intersection. These are ways of combining sets to make new sets. -
From Sean Sanford
76 plays 0Here 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
26 plays 0Here we go over a simple principle known as the Law of the Excluded Middle. -
From Sean Sanford
36 plays 0Here we show some examples of Venn Diagrams involving three sets at a time. -
From Sean Sanford
71 plays 0Here we give some examples of how Venn diagrams can be used to help reason about sets. -
From Sean Sanford
81 plays 0 -
From Sean Sanford
29 plays 0I forgot to turn off my webcam >_< Is it better to see my face? Does it make a difference? -
From Sean Sanford
39 plays 0In this video, we derive a useful formula relating P(n,r) and factorials. -
From Sean Sanford
53 plays 0Here we introduce the notation P(n,r), and give two examples. -
From Sean Sanford
45 plays 0Here we tackle a tricky combinations question about playing cards. -
From Sean Sanford
53 plays 0Here we introduce combinations, and give a formula for counting them. -
From Sean Sanford
26 plays 0Here we go over two typical examples of combination questions. -
From Sean Sanford
30 plays 0Here we go over the different methods or counting and how they relate to each other.
