Lecture 1: Probability Models and Axioms
Lecture 1: Probability Models and Axioms
Description: In this lecture, the professor discussed probability as a mathematical framework, probabilistic models, axioms of probability, and gave some simple examples. Instructor: John Tsitsiklis
Lecture 20: Central Limit Theorem
Lecture 20: Central Limit Theorem
Description: In this lecture, the professor discussed central limit theorem, Normal approximation, 1/2 correction for binomial approximation, and De Moivre–Laplace central limit theorem. Instructor: John Tsitsiklis
Lecture 5: Discrete Random Variables; Probability Mass ...
Lecture 5: Discrete Random Variables; Probability Mass Functions; ...
Description: In this lecture, the professor discussed random variables, probability mass function, expectation, and variance. Instructor: John Tsitsiklis
Lecture 6: Discrete Random Variable Examples; Joint PMFs
Lecture 6: Discrete Random Variable Examples; Joint PMFs
Description: In this lecture, the professor discussed conditional PMF, geometric PMF, total expectation theorem, and joint PMF of two random variables. Instructor: John Tsitsiklis
Lecture 7: Multiple Discrete Random Variables: ...
Lecture 7: Multiple Discrete Random Variables: Expectations, Conditioning, ...
Description: In this lecture, the professor discussed multiple random variables, expectations, and binomial distribution. Instructor: John Tsitsiklis
Lecture 11: Derived Distributions; Convolution; Covariance ...
Lecture 11: Derived Distributions; Convolution; Covariance and Correlation
Description: In this lecture, the professor discussed derived distributions, convolution, covariance and correlation. Instructor: John Tsitsiklis
Lecture 15: Poisson Process II
Lecture 15: Poisson Process II
Description: In this lecture, the professor discussed Poisson process, merging, splitting, and random incidence. Instructor: John Tsitsiklis
Lecture 17: Markov Chains II
Lecture 17: Markov Chains II
Description: In this lecture, the professor discussed Markov process, steady-state behavior, and birth-death processes. Instructor: John Tsitsiklis
Lecture 18: Markov Chains III
Lecture 18: Markov Chains III
Description: In this lecture, the professor discussed Markov Processes, probability of blocked phone calls, absorption probabilities, and calculating expected time to absorption. Instructor: John Tsitsiklis
Lecture 3: Independence
Lecture 3: Independence
Description: In this lecture, the professor discussed independence of two events, independence of a collection of events, and independence vs. pairwise independence. Instructor: John Tsitsiklis
BLOSSOMS - Fabulous Fractals and Difference Equations with ...
BLOSSOMS - Fabulous Fractals and Difference Equations with Laura Zager ...
Video Summary: This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and ...
BLOSSOMS - Discovering Medicines Using Robots & ...
BLOSSOMS - Discovering Medicines Using Robots & Computers with Anne ...
Video Summary: Scientists who are working to discover new medicines often use robots to prepare samples of cells, allowing them to test chemicals to identify those that might be used to treat diseases. Students will meet a scientist who works to identify new ...
BLOSSOMS - Flaw of Averages (Portuguese Subtitles)
BLOSSOMS - Flaw of Averages (Portuguese Subtitles)
Video Summary: This learning video presents an introduction to the Flaws of Averages using three exciting examples: the “crossing of the river” example, the “cookie” example, and the “dance class” example. Averages are often ...
BLOSSOMS - Engineering Innovation and Entrepreneurship ...
BLOSSOMS - Engineering Innovation and Entrepreneurship (Portuguese ...
The video lesson seeks to encourage students to see the world with a fresh perspective for innovation through interactive classroom brainstorming activities and real life stories. Students will build self-efficacy in their own entrepreneurial potential by developing ...
BLOSSOMS - Building Cryptosystems (Portuguese Subtitles)
BLOSSOMS - Building Cryptosystems (Portuguese Subtitles)
Video Summary: This video module presents an introduction to cryptography – the method of sending messages in such a way that only the intended recipients can understand them. In this very interactive lesson, students will build three different devices for ...
BLOSSOMS - Can Earthquakes Be Predicted? (Portuguese ...
BLOSSOMS - Can Earthquakes Be Predicted? (Portuguese Subtitles)
This video module uses a simple analog setup to explore why earthquakes are so unpredictable. The setup is simple enough that students should be able to assemble and operate the setup on their own with teacher supervision. It is important to note that students should ...
BLOSSOMS - How Mosquitoes Fly in Rain
BLOSSOMS - How Mosquitoes Fly in Rain
In this lesson, we learn how insects can fly in the rain. The objective is to calculate the impact forces of raindrops on flying mosquitoes. Students will gain experience with using Newton's laws, gathering data from videos and graph, and most importantly, the utility of making ...