Catalog Search Results
Publisher
The Great Courses
Pub. Date
2009.
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
2017.
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.
Publisher
The Great Courses
Pub. Date
2017.
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
2017.
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.
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
2014.
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.
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.
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
2015.
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
2020.
Language
English
Description
First, find a shortcut solution to a classic word problem in algebra. This introduces the episode's theme: forget your algebra and use cleverness to solve problems without x's and y's. Along the way, you'll learn that sometimes having too much information can make a problem harder. Also find out why transcontinental flights take longer in one direction than the other (not counting wind effects).
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Discover how to solve equations that contain radical expressions. A key step is isolating the radical term and then squaring both sides. As always, it's important to check the solution by plugging it into the equation to see if it makes sense. This is especially true with radical equations, which can sometimes yield extraneous, or invalid, solutions.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Wrap up the course by looking at several fun and different ways of reimagining geometry. Explore the counterintuitive behaviors of shapes, angles, and lines in spherical geometry, hyperbolic geometry, finite geometry, and even taxi-cab geometry. See how the world of geometry is never a closed-book experience.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
TheFibonacci numbersfollow the simple pattern 1, 1, 2, 3, 5, 8, etc., in which each number is the sum of the two preceding numbers. Fibonacci numbers have many beautiful and unexpected properties, and show up in nature, art, and poetry.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
World-renowned math educator Dr. James Tanton shows you how to think visually in mathematics, solving problems in arithmetic, algebra, geometry, probability, and other fields with the help of imaginative graphics that he designed. Also featured are his fun do-it-yourself projects using poker chips, marbles, paper, and other props, designed to give you many eureka moments of mathematical insight.
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Study the discovery that destroyed the dream of an axiomatic system that could prove all mathematical truths - Kurt Gödel's demonstration that mathematical consistency is a mirage and that the price for avoiding paradoxes is incompleteness. Outline Gödel's proof, seeing how it relates to the liar's paradox from Lecture 1.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
In previous lessons, you moved from linear, quadratic, and rational functions to the graphs that display them. Now do the same with radical functions. For these, it's important to pay attention to the domain of the functions to ensure that negative values are not introduced beneath the root symbol.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
You’ve seen geometric tiling patterns on your bathroom floor and in the works of great artists. But what would happen if you made repeating patterns in 3-D space? In this lecture, discover the five platonic solids! Also, become an artist and create your own beautiful patterns—even using more than one type of shape.
98) The Joy of Pi
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Pi is the ratio of the circumference of a circle to its diameter. It starts 3.14 and continues in an infinite nonrepeating sequence. Professor Benjamin shows how to learn the first hundred digits of this celebrated number, making it look as easy as pie.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Quadratic functions often arise in real-world settings. Explore a number of problems, including calculating the maximum height of a rocket and determining how long an object dropped from a tree takes to reach the ground. Learn that in finding a solution, graphing can often help.
100) Radical Expressions
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Anytime you see a root symbol - for example, the symbol for a square root - then you're dealing with what mathematicians call a radical. Learn how to simplify radical expressions and perform operations on them, such as multiplication, division, addition, and subtraction, as well as combinations of these operations.
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