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From Sean Sanford
97 plays 0Here we solve a simple example, and then a more complicated one. -
From Sean Sanford
72 plays 0What is an Equation? How do equations behave?Here we give some definitions and list some important properties of equality. -
From Sean Sanford
53 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
39 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
37 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
42 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
117 plays 0Here we use a 2x2 linear system to show how matrices can be used to streamline the elimination technique. -
From Sean Sanford
108 plays 0Here we generalize our techniques from 2x2 systems to 3x3 systems. -
From Sean Sanford
40 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
31 plays 0Here we simplify and graph a compound inequality. -
From Sean Sanford
25 plays 0Here we go through a short example of graphing an inequality on a number line. -
From Sean Sanford
30 plays 0Here we introduce inequalities, and discuss an example where dividing by a negative forces us to flip the sign. -
From Sean Sanford
40 plays 0Here we discuss how to graph inequalities in two variables. -
Alg 4.4: A System of Three Inequalities (pt1) 32 of 66
Alg 4.4: A System of Three Inequalities (pt1)
From Sean Sanford
37 plays 0Here we graph a system of three inequalities. We also do some algebra to verify the coordinates of a certain point. -
Alg 4.4: A System of Three Inequalities (pt2) 33 of 66
Alg 4.4: A System of Three Inequalities (pt2)
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
25 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
20 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
91 plays 0Here we talk about two operations: union and intersection. These are ways of combining sets to make new sets. -
From Sean Sanford
77 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
27 plays 0Here we go over a simple principle known as the Law of the Excluded Middle. -
From Sean Sanford
37 plays 0Here we show some examples of Venn Diagrams involving three sets at a time. -
From Sean Sanford
75 plays 0Here we give some examples of how Venn diagrams can be used to help reason about sets. -
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
46 plays 0Here we tackle a tricky combinations question about playing cards. -
From Sean Sanford
54 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.