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Here we solve a simple example, and then a more complicated one.
Alg 1.5: Examples of Solving Equations
From Sean Sanford
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What is an Equation? How do equations behave?Here we give some definitions and list some important properties of equality.
Alg 1.5: Properties of Equations
From Sean Sanford
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Preliminaries
Alg 2.1: Cartesian Coordinates and Linear…
From Sean Sanford
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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…
Alg 2.1: Graphing Lines by Finding Intercepts
From Sean Sanford
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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,…
Alg 2.1: Graphing Lines by Plotting Points
From Sean Sanford
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Here we cover a very common type of problem. We are given a point and a slope, and asked to calculate the y-intercept.
Alg 2.2: A Typical Point and Slope Example
From Sean Sanford
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In this video we talk about how to calculate slopes, and give some examples.
Alg 2.2: Calculating the Slope
From Sean Sanford
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Here we discuss vertical lines and give the definition of slope of a non-vertical line.
Alg 2.2: Intro to Slope
From Sean Sanford
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Here we define and discuss parallel and perpendicular lines. One example problem is given for each topic.
Alg 2.2: Parallel and Perpendicular Slopes
From Sean Sanford
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Here we combine multiple concepts to solve a complicated question.
Alg 2.3: A Combo Example
From Sean Sanford
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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…
Alg 2.3: A Sales Example
From Sean Sanford
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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…
Alg 2.3: Finding the Equation of a Perpendicular…
From Sean Sanford
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Here we go over the three main forms that are common for expressing lines.
Alg 2.3: Three forms of Equations for Lines
From Sean Sanford
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Here we discuss solving a consistent system.using both substitution and addition methods.
Alg 3.2: Consistent Equations
From Sean Sanford
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Here we discuss solving a dependent system.using both substitution and addition methods. Clarification: at 5:50 I say "consistent system" because the system…
Alg 3.2: Dependent Equations
From Sean Sanford
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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 …
Alg 3.2: How Many Answers are Possible?
From Sean Sanford
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Here we discuss solving an inconsistent system.using both substitution and addition methods.
Alg 3.2: Inconsistent Equations
From Sean Sanford
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Here we discuss the two main algebraic methods for solving 2D systems of linear equations.
Alg 3.2: Solving Systems using Substitution and…
From Sean Sanford
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Here we use a 2x2 linear system to show how matrices can be used to streamline the elimination technique.
Alg 3.4: Intro to Matrices
From Sean Sanford
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Alg 3.4: Solving 2x2 Linear Systems using…
From Sean Sanford
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Alg 3.4: Solving 2x2 Linear Systems using…
From Sean Sanford
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Alg 3.4: Solving 2x2 Linear Systems using…
From Sean Sanford
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Alg 3.4: Solving 2x2 Linear Systems using…
From Sean Sanford
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Alg 3.4: Solving 2x2 Linear Systems using…
From Sean Sanford
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Alg 3.4: Solving 3x3 Linear Systems using…
From Sean Sanford
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Here we generalize our techniques from 2x2 systems to 3x3 systems.
Alg 3.4: Solving 3x3 Linear Systems using…
From Sean Sanford
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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.
Alg 4.1: All About Intervals
From Sean Sanford
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Here we simplify and graph a compound inequality.
Alg 4.1: Graphing a Compound Inequality
From Sean Sanford
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Here we go through a short example of graphing an inequality on a number line.
Alg 4.1: Graphing an Inequality on a Number Line
From Sean Sanford
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Here we introduce inequalities, and discuss an example where dividing by a negative forces us to flip the sign.
Alg 4.1: Linear Inequalities Intro
From Sean Sanford
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Here we discuss how to graph inequalities in two variables.
Alg 4.3: Inequalities in Two Variables
From Sean Sanford
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Alg 4.4: A System of Three Inequalities (pt1) 32 of 66
Alg 4.4: A System of Three Inequalities (pt1)
Here 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 (pt1)
From Sean Sanford
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Alg 4.4: A System of Three Inequalities (pt2) 33 of 66
Alg 4.4: A System of Three Inequalities (pt2)
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.Alg 4.4: A System of Three Inequalities (pt2)
From Sean Sanford
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Here we introduce the idea of graphing systems of inequalities. A short example is given.
Alg 4.4: Systems of Inequalities Intro
From Sean Sanford
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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…
Alg 4.4: The Cafeteria Problem
From Sean Sanford
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Here we introduce the idea of Linear Programming, and begin an example.
Alg 4.5: Intro to Linear Programming
From Sean Sanford
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Here we finish the warehouse example, by investigating the values of the objective function.
Alg 4.5: Warehouse Example, p3
From Sean Sanford
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Here we continue the example from the previous video.
Alg 4.5: Warehouse Example, pt2
From Sean Sanford
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Here we give the definition of a set, and give some examples.
S&P 1.1-pt1: What is a Set?
From Sean Sanford
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Here we present the idea of subsets. Several examples are given.
S&P 1.1-pt2: Subsets
From Sean Sanford
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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.
S&P 1.1-pt3: The Empty Set
From Sean Sanford
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Here we talk about two operations: union and intersection. These are ways of combining sets to make new sets.
S&P 1.2-pt1: Set Operations, Union and…
From Sean Sanford
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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.
S&P 1.2-pt2: Complements and Universes
From Sean Sanford
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Here we go over a simple principle known as the Law of the Excluded Middle.
S&P 1.2-pt3: The Law of the Exluded Middle
From Sean Sanford
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S&P 1.3-pt1: Intro to Venn Diagrams
From Sean Sanford
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Here we show some examples of Venn Diagrams involving three sets at a time.
S&P 1.3-pt3: More Venn Diagrams
From Sean Sanford
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Here we give some examples of how Venn diagrams can be used to help reason about sets.
S&P 1.4-pt1: Reasoning with Venn Diagrams
From Sean Sanford
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S&P 1.4-pt2: Inclusion - Exclusion Principle
From Sean Sanford
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S&P 2.1-pt3: Revisiting LoEM and The I-E…
From Sean Sanford
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S&P 2.2: Algebraic Properties of Probability
From Sean Sanford
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I forgot to turn off my webcam >_< Is it better to see my face? Does it make a difference?
S&P 2.2: Some More Examples
From Sean Sanford
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S&P 2.3: The Multiplication Principle
From Sean Sanford
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In this video, we derive a useful formula relating P(n,r) and factorials.
S&P 2.4: Algebraic Observation about P(n,r)
From Sean Sanford
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Here we introduce the notation P(n,r), and give two examples.
S&P 2.4: Intro to Permutations
From Sean Sanford
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Here we tackle a tricky combinations question about playing cards.
S&P 2.5: A Complex Example
From Sean Sanford
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Here we introduce combinations, and give a formula for counting them.
S&P 2.5: Combinations
From Sean Sanford
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Here we go over two typical examples of combination questions.
S&P 2.5: Two Examples
From Sean Sanford
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Here we go over the different methods or counting and how they relate to each other.
S&P 2.5: Which Counting Method Should I Use?
From Sean Sanford
31 plays 0
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