Catalog Search Results
81) 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
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
2017.
Language
English
Description
Delve into ANOVA, short for analysis of variance, which is used for comparing three or more group means for statistical significance. ANOVA answers three questions: Do categories have an effect? How is the effect different across categories? Is this significant? Learn to apply the F-test and Tukey's honest significant difference (HSD) test.
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
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
2015.
Language
English
Description
Prove that some sets can't be measured - a result that is crucial to understanding the Banach-Tarski paradox, the strangest theorem in all of mathematics, which is presented in Lecture 23. Start by asking why mathematicians want to measure sets. Then learn how to construct a non-measurable set.
87) Algebra I
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Algebra I is an entirely new course designed to meet the concerns of both students and their parents. These 36 accessible lectures make the concepts of first-year algebra - including variables, order of operations, and functions-easy to grasp. For anyone wanting to learn algebra from the beginning, or for anyone needing a thorough review, Professor James A. Sellers will prove to be an ideal tutor.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
If you double the side-lengths of a shape, what happens to its area? If the shape is three-dimensional, what happens to its volume? In this lecture, you explore the concept of scale. You use this idea to re-derive one of our fundamental assumptions of geometry, the Pythagorean theorem, using the areas of any shape drawn on the edges of the right triangle—not just squares.
Publisher
The Great Courses
Pub. Date
2009.
Language
English
Description
Investigating more complicated examples of linear equations, learn that linear equations fall into three categories. First, the equation might have exactly one solution. Second, it might have no solutions at all. Third, it might be an identity, which means every number is a solution.
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
2014.
Language
English
Description
Unite geometry with the world of probability theory. See how connecting these seemingly unrelated fields offers new ways of solving questions of probability—including figuring out the likelihood of having a short wait for the bus at the bus stop.
92) Voting Paradoxes
Publisher
The Great Courses
Pub. Date
2015.
Language
English
Description
Learn that determining the will of the voters can require a mathematician. Delve into paradoxical outcomes of elections at national, state, and even club levels. Study Kenneth Arrow's Nobel prize-winning impossibility theorem, and assess the U.S. Electoral College system, which is especially prone to counterintuitive results.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
Start with a hypothesized parameter for a population and determining whether we think a given sample could have come from that population. Practice this important technique, called hypothesis testing, with a single parameter, such as whether a lifestyle change reduces cholesterol. Discover the power of the p-value in gauging the significance of your result.
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
2017.
Language
English
Description
When are two variables correlated? Learn how to measure covariance, which is the association between two random variables. Then use covariance to obtain a dimensionless number called the correlation coefficient. Using an R data set, plot correlation values for several variables, including the physical measurements of a sample population.
Publisher
The Great Courses
Pub. Date
2017.
Language
English
Description
What do you do if your data doesn't follow linear model assumptions? Learn how to transform the data to eliminate increasing or decreasing variance (called heteroscedasticity), thereby satisfying the assumptions of normality, independence, and linearity. One of your test cases uses the R data set for miles per gallon versus weight in 1973-74 model automobiles.
Publisher
The Great Courses
Pub. Date
2014.
Language
English
Description
Continue your study of parallelism by exploring the properties of transversals (lines that intersect two other lines). Prove how corresponding angles are congruent, and see how this fact ties into a particular type of polygon: trapezoids.
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.
In Interlibrary Loan
Didn't find what you need? Items not owned by Santa Barbara Public Library can be requested from other Interlibrary Loan libraries to be delivered to your local library for pickup.
Didn't find it?
Can't find what you are looking for? Try suggesting a title. Submit Request