Catalog Search Results
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Delve into ANOVA, short for analysis of variance, which is used for comparing three or more group means for statistical significance. ANOVA answers three questions: Do categories have an effect? How is the effect different across categories? Is this significant? Learn to apply the F-test and Tukey's honest significant difference (HSD) test.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
A more versatile approach to writing the equation of a line is the point-slope form, in which only two points are required, and neither needs to intercept the y axis. Work through several examples and become comfortable determining the equation using the line and the line using the equation.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
What is the meaning of infinity? Are some infinite sets "more" infinite than others? Could there possibly be an infinite number of levels of infinity? This lecture explores some of the strange ideas associated with mathematical infinity.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (29 minutes): digital, .flv file, sound
Language
English
Description
Let’s say you don’t have a marked ruler to measure lengths or a protractor to measure angles. Can you still draw the basic geometric shapes? Explore how the ancient Greeks were able to construct angles and basic geometric shapes using no more than a straight edge for marking lines and a compass for drawing circles.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Transition to a more complex type of algebraic expression, which incorporates squared terms and is therefore known as quadratic. Learn how to use the FOIL method (first, outer, inner, last) to multiply linear terms to get a quadratic expression.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
Language
English
Description
In your study of lines, you used the combination of geometry and algebra to determine all kinds of interesting properties and characteristics. Now, you’ll do the same for circles, including deriving the algebraic equation for a circle.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Ponder a question posed by mathematician Georg Cantor: what makes two sets the same size? Start by matching the infinite counting numbers with other infinite sets, proving they're the same size. Then discover an infinite set that's infinitely larger than the counting numbers. In fact, find an infinite number of them!
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (27 minutes): digital, .flv file, sound
Language
English
Description
Extend the method of hypothesis testing to see whether data from two different samples could have come from the same population - for example, chickens on different feed types or an ice skater's speed in two contrasting maneuvers. Using R, learn how to choose the right tool to differentiate between independent and dependent samples. One such tool is the matched pairs t-test.
69) Algebra I
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (1111 minutes): digital, .flv file, sound
Language
English
Description
Algebra I is an entirely new course designed to meet the concerns of both students and their parents. These 36 accessible lectures make the concepts of first-year algebra - including variables, order of operations, and functions-easy to grasp. For anyone wanting to learn algebra from the beginning, or for anyone needing a thorough review, Professor James A. Sellers will prove to be an ideal tutor.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (27 minutes): digital, .flv file, sound
Language
English
Description
What do you do if your data doesn't follow linear model assumptions? Learn how to transform the data to eliminate increasing or decreasing variance (called heteroscedasticity), thereby satisfying the assumptions of normality, independence, and linearity. One of your test cases uses the R data set for miles per gallon versus weight in 1973-74 model automobiles.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Sketch the graphs of several rational functions by first calculating the vertical and horizontal asymptotes, the x and y intercepts, and then plotting several points in the function. In the final exercise, you must simplify the expression in order to extract the needed information.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Build on the side-angle-side postulate and derive other ways of testing whether triangles are similar or congruent. Also dive into several practical applications, including a trick botanists use for estimating the heights of trees and a way to measure the width of a river using only a baseball cap.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
You can combine features of regression and ANOVA to perform what is called analysis of covariance, or ANCOVA. And that's not all: Just as you can extend simple linear regression to multiple linear regression, you can also extend ANOVA to multiple ANOVA, known as MANOVA, or multivariate analysis of variance. Learn when to apply each of these techniques.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
Language
English
Description
Time series analysis provides a way to model response data that is correlated with itself, from one point in time to the next, such as daily stock prices or weather history. After disentangling seasonal changes from longer-term patterns, consider methods that can model a dependency on time, collectively known as ARIMA (autoregressive integrated moving average) models.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (33 minutes): digital, .flv file, sound
Language
English
Description
Plunge into the world of paradoxes and puzzles with a "strange loop," a self-contradictory problem from which there is no escape. Two examples: the liar's paradox and the barber's paradox. Then "prove" that 1+1=1, and visit the Island of Knights and Knaves, where only the logically minded survive!
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (29 minutes): digital, .flv file, sound
Language
English
Description
Delve deeper into the connections between algebra and geometry by looking at lines and their equations. Use the three basic assumptions from previous lectures to prove that parallel lines have the same slope and to calculate the shortest distance between a point and a line.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Shift gears to consider linear inequalities, which are mathematical expressions featuring a less than sign or a greater than sign instead of an equal sign. Discover that these kinds of problems have some very interesting twists, and they come up frequently in business applications.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Continuing your exploration of rational expressions, try your hand at multiplying and dividing them. The key to solving these complicated-looking equations is to proceed one step at a time. Close the lesson with a problem that brings together all you've learned about rational functions.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (33 minutes): digital, .flv file, sound
Language
English
Description
You’ve learned how to find the midpoint between two points. But what if you have three points? Or four points? Explore the concept of equidistance and how it reveals even more about the properties of triangles and other shapes.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Investigating more complicated examples of linear equations, learn that linear equations fall into three categories. First, the equation might have exactly one solution. Second, it might have no solutions at all. Third, it might be an identity, which means every number is a solution.
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