Catalog Search Results
Publisher
The Great Courses
Language
English
Description
We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it’s a critical foundation for the rest of geometry.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for itsapplications, itsbeauty and structure, and itscertainty. Most of all, mathematics is a source of endless delight through creative play with numbers.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
While some statistics are deliberately misleading, others are the product of confused thinking due to Simpson's paradox and similar errors of statistical reasoning. See how this problem arises in sports, social science, and especially medicine, where it can lead to inappropriate treatments.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Put your dots-and-boxes machine to work solving long-division problems, making them easy while shedding light on the rationale behind the confusing long-division algorithm taught in school. Then watch how the machine quickly handles scary-looking division problems in polynomial algebra.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Delve into Bertrand Russell's profoundly simple paradox that undermined Cantor's theory of sets. Then follow the scramble to fix set theory and all of mathematics with a new set of axioms, designed to avoid all paradoxes and keep mathematics consistent - a goal that was partly met by the Zermelo-Fraenkel set theory.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Investigate a puzzle that defied some of the most brilliant minds in mathematics: the Monty Hall problem, named after the host of Let's Make a Deal! Hall would let contestants change their guess about the location of a hidden prize after revealing new information about where it was not.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Drawing on your experience solving quadratic functions, analyze the parabolic shapes produced by such functions when represented on a graph. Use your algebraic skills to determine the parabola's vertex, its x and y intercepts, and whether it opens in an upward "cup" or downward in a "cap."
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Professor Benjamin begins his discussion of mathematical proofs with intuitive cases like "even plus even is even" and "odd times odd is odd." He builds to more complexproofs by existenceandinduction, and ends with a checkerboard challenge.
Publisher
The Great Courses
Pub. Date
2016.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Drawing on the bizarre conclusions from the previous lecture, reach even more peculiar results by mapping all of the fractions (i.e., rational numbers) onto the number line, discovering that they take up no space at all! And this is just the start of the weirdness.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (709 minutes): digital, .flv file, sound
Language
English
Description
The ability of statistics to extract insights from a random collection of facts is one of the most astonishing and useful feats of applied mathematics. This course surveys college-level statistics through dozens of exercises conducted through the statistical programming language R, a free, open-source computer language with millions of users worldwide.
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (740 minutes): digital, .flv file, sound
Language
English
Description
Discover the timeless riddles and paradoxes that have confounded the greatest philosophical, mathematical, and scientific minds in history. Stretching your mind to try to solve a puzzle, even when the answer eludes you, can help sharpen your mind and focus - and it’s an intellectual thrill!
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (34 minutes): digital, .flv file, sound
Language
English
Description
Multiple linear regression lets you deal with data that has multiple predictors. Begin with an R data set on diabetes in Pima Indian women that has an array of potential predictors. Evaluate these predictors for significance. Then turn to data where you fit a multiple regression model by adding explanatory variables one by one.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
So far, you’ve seen how to calculate the sine, cosine, and tangents of basic angles (0°, 30°, 45°, 60°, and 90°). What about calculating them for other angles—without a calculator? You’ll use the Pythagorean theorem to come up with formulas for sums and differences of the trig identities, which then allow you to calculate them for other angles.
Publisher
The Great Courses
Pub. Date
2014.
Physical Desc
1 online resource (streaming video file) (31 minutes): digital, .flv file, sound
Language
English
Description
Continue the work of classification with triangles. Find out what mathematicians mean when they use words like scalene, isosceles, equilateral, acute, right, and obtuse. Then, learn how to use the Pythagorean theorem to determine the type of triangle (even if you don’t know the measurements of the angles).
Publisher
The Great Courses
Pub. Date
2015.
Physical Desc
1 online resource (streaming video file) (32 minutes): digital, .flv file, sound
Language
English
Description
Leap into puzzles and mind-benders that teach you the rudiments of game theory. Divide loot with bloodthirsty pirates, ponder the two-envelope problem, learn about Newcomb's paradox, visit the island where everyone has blue eyes, and try your luck at prisoner's dilemma.
Publisher
The Great Courses
Pub. Date
2009.
Physical Desc
1 online resource (streaming video file) (33 minutes): digital, .flv file, sound
Language
English
Description
Conclude the course by examining more types of number sequences, discovering how rich and enjoyable the mathematics of pattern recognition can be. As in previous lessons, employ your reasoning skills and growing command of algebra to find order - and beauty - where once all was a confusion of numbers.
Publisher
The Great Courses
Pub. Date
2017.
Physical Desc
1 online resource (streaming video file) (30 minutes): digital, .flv file, sound
Language
English
Description
Another indispensable number to learn ise= 2.71828 ... Defined as the base of the natural logarithm,eplays a central role in calculus, and it arises naturally in many spheres of mathematics, including calculations of compound interest.
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