Description: This lecture introduces the topics covered in the course and its motivation. Examples of applications are provided, along with types and charaterizations of geometric objects, foldability and design questions, and results. Select open problems are also ...

Project Laboratory in Mathematics is a course designed to give students a sense of what it's like to do mathematical research.

Description: In this lecture, the professor talked about the standard Big Bang, cosmic inflation, evidence for inflation, Cosmic Microwave Background (CMB), universe to multiverse, dark energy, etc. Instructor: Alan GuthLearn more: ...

Description: This lecture covers the topology and exact loop transmission of feedback compensation, simplification for the case of large minor-loop transmission magnitude, and a popular operational amplifier configuration that uses feedback compensation. Instructor: James K. Roberge

This lecture covers some history of digital communication, with a focus on Samuel Morse and Claude Shannon, measuring information and defining information, the significance of entropy on encodings, and Huffman's coding algorithm.

The Experimental Study Group (ESG) is a freshman learning community that promotes interactive education and curricular and pedagogical innovation at MIT.

In this session, we extend the solution of the motion of oscillators with one degree of freedom without damping to the case where damping can no longer be ignored.

This lecture discusses the theory of quantum mechanics (QM), modeling and simluation, why QM is useful, and how it grew out of classical physics, and concludes with some simple examples.

Prof. Townsend introduces the course to the students, explains the syllabus, and covers the topics of finance, growth, and volatility.

The MIT Biology Department core courses cover the fundamental principles of biochemistry, genetics, molecular biology, and cell biology.

A review of electric field and electric potential, focusing on their similarities and differences and the way they are most commonly represented.

The Taylor-Proudman theorem demands that vertical columns of fluid move along contours of constant fluid depth. Suppose a rotating, homogeneous fluid flows over a bump on a bottom boundary.

We bring the cylindrical tank, filled to a depth of 10 cm or so with water at a uniform temperature, up to solid-body rotation at a speed of 5 rpm, say. We sprinkle a few small crystals of potassium permanganate in to the tank. Note the Taylor columns. Now we reduce ...

It is straightforward to obtain a steady, axially-symmetric circulation driven by radial temperature gradients in our laboratory tank, which provides an ideal opportunity to study the thermal wind relation.

Here we illustrate the dynamical principles that underlie the abyssal circulation of the ocean, driven by the sinking of dense fluid formed by surface cooling at polar latitudes.

The Coriolis force can be visualized by making use of the parabolic surface constructed in Lab IV. If a ball, initially at rest in the rotating frame, is given a push, it is deflected to the right.

Here we study the mechanism by which the wind stress drives ocean circulation. We induce circulation by rotating a disc at the surface of a tank of water which is itself rotating. The laboratory setup is as follows.

It is relatively straightforward to demonstrate the essential mechanism behind wind-driven ocean circulation in a laboratory experiment.

Description: This video lecture demonstrates the concept of scope by example of a recursive function that produces the Fibonacci sequence. Instructor: Yossi Farjoun

Description: This video lecture introduces the MATLAB interface, how to carry out basic mathematical operations involving both numbers and variables, and how to use the help files to learn more about MATLAB's built-in functions. Instructor: Yossi Farjoun