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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.
21) Geometry
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Inscribed over the entrance of Plato’s Academy were the words, "Let no one ignorant of geometry enter my doors."To ancient scholars, geometry was the gateway to knowledge. Its core skills of logic and reasoning are essential to success in school, work, and many other aspects of life. Yet sometimes students, even if they have done well in other math courses, can find geometry a challenge. Now, in the 36 innovative lectures of Geometry: An Interactive...
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
When one polynomial is divided by another, the result is called a rational function because it is the ratio of two polynomials. These functions play an important role in algebra. Learn how to add and subtract rational functions by first finding their common divisor.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Keep playing with the approach from the previous lecture, applying it to algebra problems, counting paths in a grid, and Pascal’s triangle. Then explore some of the beautiful patterns in Pascal’s triangle, including its connection to the powers of eleven and the binomial theorem.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Learn how a rabbit-breeding question in the 13th century led to the celebrated Fibonacci numbers. Investigate the properties of this sequence by focusing on the single picture that explains it all. Then hear the world premiere of Professor Tanton's amazing Fibonacci theorem!
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
Consider the oddity of the long-multiplication algorithm most of us learned in school. Discover a completely new way to multiply that is graphical--and just as strange! Then analyze how these two systems work. Finally, solve the mystery of why negative times negative is always positive.
Publisher
The Great Courses
Pub. Date
2009.
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
2015.
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
2017.
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
2009.
Language
English
Description
Discover that by following basic rules on how to treat coefficients and exponents, you can reduce very complicated algebraic expressions to much simpler ones. You start by using the commutative property of multiplication to rearrange the terms of an expression, making combining them relatively easy.
Publisher
The Great Courses
Pub. Date
2016.
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
2015.
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
2014.
Language
English
Description
So far, you’ve figured out all kinds of fun properties with two-dimensional shapes. But what if you go up to three dimensions? In this lecture, you classify common 3-D shapes such as cones and cylinders, and learn some surprising definitions. Finally, you study the properties (like volume) of these shapes.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Dip into R, which is a popular open-source programming language for use in statistics and data science. Consider the advantages of R over spreadsheets. Walk through the installation of R, installation of a companion IDE (integrated development environment) RStudio, and how to download specialized data packages from within RStudio.
Publisher
The Great Courses
Pub. Date
2016.
Language
English
Description
One sheet of paper lying directly atop another has all its points aligned with the bottom sheet. But what if the top sheet is crumpled? Do any of its points still lie directly over the corresponding point on the bottom sheet? See a marvelous visual proof of this fixed-point theorem.
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Randomly pick a real number between 0 and 1. What is the probability that the number is a fraction, such as ¼? Would you believe that the probability is zero? Probe this and other mind-bending facts about infinite sets, including the discovery that made Cantor exclaim, "I see it, but I don't believe it!"
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Spatial analysis is a set of statistical tools used to find additional order and patterns in spatial phenomena. Drawing on libraries for spatial analysis in R, use a type of graph called a semivariogram to plot the spatial autocorrelation of the measured sample points. Try your hand at data sets involving the geographic incidence of various medical conditions.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Advance to the next level of problem solving by using variables as the building blocks to create algebraic expressions, which are combinations of mathematical symbols that might include numbers, variables, and operation symbols. Also learn some tricks for translating the language of problems (phrases in English) into the language of math (algebraic expressions).
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Arguably the most important area of mathematics, algebra introduces the powerful idea of using an abstract variable to represent an unknown quantity. This lecture demonstrates algebra's golden rule: Do unto one side of an equation as you do unto the other.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Geometry is based on a handful of definitions and axioms involving points, lines, and angles. These lead to important conclusions about the properties ofpolygons. This lecture uses geometric reasoning to derive the Pythagorean theorem and other interesting results.
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