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
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
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.
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
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
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
2016.
Language
English
Description
Professor Tanton reminisces about his childhood home, where the pattern on the ceiling tiles inspired his career in mathematics. He unlocks the mystery of those tiles, demonstrating the power of visual thinking. Then he shows how similar patterns hold the key to astounding feats of mental calculation.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Combinatorics deals with counting combinations of things. Discover that many such problems are really one problem: how many ways are there to arrange the letters in a word? Use this strategy and the factorial operation to make combinatorics questions a piece of cake.
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
2014.
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
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
2015.
Language
English
Description
The Banach-Tarski paradox shows that you can take a solid ball, split it into five pieces, reassemble three of them into a complete ball the same size as the original, and reassemble the other two into another complete ball, also the same size as the original. Professor Kung explains the mathematics behind this astonishing result.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Confront how ALL data has uncertainty, and why statistics is a powerful tool for reaching insights and solving problems. Begin by describing and summarizing data with the help of concepts such as the mean, median, variance, and standard deviation. Learn common statistical notation and graphing techniques, and get a preview of the programming language R, which will be used throughout the course.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Expand into the realm of decimals by probing the connection between decimals and fractions, focusing on decimals that repeat. Can they all be expressed as fractions? If so, is there a straightforward way to convert repeating decimals to fractions using the dots-and-boxes method? Of course there is!
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Continue your exploration of game theory by spotting the hidden strange loop in the unexpected exam paradox. Next, contemplate Parrando's paradox that two losing strategies can combine to make a winning strategy. Finally, try increasingly more challenging hat games, using the axiom of choice from set theory to perform a miracle.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
The order in which you do simple operations of arithmetic can make a big difference. Learn how to solve problems that combine adding, subtracting, multiplying, and dividing, as well as raising numbers to various powers. These same concepts also apply when you need to simplify algebraic expressions, making it critical to master them now.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Focus on the normal distribution, which is the most celebrated type of continuous probability distribution. Characterized by a bell-shaped curve that is symmetrical around the mean, the normal distribution shows up in a wide range of phenomena. Use R to find percentiles, probabilities, and other properties connected with this ubiquitous data pattern.
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
Delve into irrational numbers--those that can't be expressed as the ratio of two whole numbers (i.e., as fractions) and therefore don't repeat. But how can we be sure they don't repeat? Prove that a famous irrational number, the square root of two, can't possibly be a fraction.
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