Catalog Search Results
A fun, interactive, and award-winning, online kindergarten-readiness learning solution for children ages 3 to 6 years. With hundreds of lessons in math, science, social studies, language and literacy, art, and music, the curriculum increases in difficulty as the user progresses through the program.
Publisher
The Great Courses
Pub. Date
2017.
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.
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
2015.
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
2015.
Language
English
Description
Learn how Georg Cantor tamed infinity and astonished the mathematical world by showing that some infinite sets are larger than others. Then use a matching game inspired by dodge ball to prove that the set of real numbers is infinitely larger than the set of natural numbers, which is also infinite.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Apply what you've discovered about equations of lines to two very special types of lines: parallel and perpendicular. Learn how to tell if lines are parallel or perpendicular from their equations alone, without having to see the lines themselves. Also try your hand at word problems that feature both types of lines.
Publisher
The Great Courses
Pub. Date
2014.
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
2009.
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.
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.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right—inviting big, deep questions.
Publisher
The Great Courses
Pub. Date
2014.
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
2016.
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.
72) Impossible Sets
Publisher
The Great Courses
Pub. Date
2015.
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.
74) Dido's Problem
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
If you have a fixed-length string, what shape can you create with that string to give you the biggest area? Uncover the answer to this question using the legendary story of Dido and the founding of the city of Carthage.
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
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.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Exploiting the idea of the derivative, we can approximate just about any function using simple polynomials. This lecture also shows why a formula sometimes known as "God's equation" (involvinge,i, p, 1, and 0) is true, and how to calculate square roots in your head.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Could the apparently nonsensical number the square root of –1 be of any use? Very much so, as this lecture shows. Suchimaginaryandcomplex numbersplay an indispensable role in physics and other fields, and are easier to understand than they appear.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
"If there is something in life you want, then just make it happen!" Following this advice, learn to solve polynomial division problems that have negative terms. Use your new strategy to explore infinite series and Mersenne primes. Then compute infinite sums with the visual approach.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Use what you've learned about slope to graph linear equations in the slope-intercept form, y = mx + b, where m is the slope, and b is the y intercept. Experiment with examples in which you calculate the equation from a graph and from a table of pairs of points.
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