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Mathematics

Channel | updated April 22, 2013

The Mathematics Department at MIT is a world leader in pure and applied mathematical research and education. In pure mathematics we explore exciting current research directions in most of the major fields. In applied mathematics, we look for important connections with other disciplines that may inspire interesting and useful mathematics, and where innovative mathematical reasoning may lead to new insights and applications. Our applied math group focuses on biology, combinatorics, computer science, scientific computing, numerical analysis, and areas of physical applied mathematics. Learn more

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Zhiwei Yun
  • Mathematics,
  • Feature
Zhiwei Yun

Symmetry and duality for Hitchin fibrations

William Fulton
  • Mathematics,
  • Feature
William Fulton

A Celebration of Algebraic Geometry, August 25-28, 2011 William Fulton: Degeneracy loci formulas for bundles with symmetries

Wei Ho
  • Mathematics,
  • Feature
Wei Ho

Explicit Moduli Spaces for Decorated Curves and Arithmetic Applications

The Exponential Function
  • Mathematics,
  • Feature
The Exponential Function

Professor Strang explains how the "magic number e" connects to ordinary things like the interest on a bank account. The graph of y = e^x has the special property that its slope equals its height (it goes up "exponentially fast"!). This is the great function of calculus. View the complete ...

Slow discharge of a LiFePO4 nanoparticle
  • Chemical Engineering,
  • Demonstration
Slow discharge of a LiFePO4 nanoparticle

At small currents, ordered stripes appear in a 100x100nm particle due to coherency strain.

Slope
  • Mathematics,
  • Feature
Slope

K-12 mathematics: presenting the concept of "Slope".

Six Functions, Six Rules, and Six Theorems
  • Mathematics,
  • Feature
Six Functions, Six Rules, and Six Theorems

Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

Simon Donaldson Lecture
  • Mathematics,
  • Educational
Simon Donaldson Lecture

Recorded Feb. 5, 2013.

Simon Donaldson Lecture
  • Mathematics,
  • Educational
Simon Donaldson Lecture

Recorded Feb. 6, 2013.

Sam Payne
  • Mathematics,
  • Feature
Sam Payne

Nonarchimedean geometry, tropicalization, and metrics on curves

Robert Lazarsfeld
  • Mathematics,
  • Feature
Robert Lazarsfeld

A Celebration of Algebraic Geometry, August 25-28, 2011 Robert Lazarsfeld: Asymptotic syzygies of algebraic varieties

Ravi Vakil-Main lecture
  • Mathematics,
  • Feature
Ravi Vakil-Main lecture

Eight points on the projective line, and in projective three-space

Ravi Vakil-Introductory lecture
  • Mathematics,
  • Feature
Ravi Vakil-Introductory lecture

Eight points on the projective line, and in projective three-space

Rahul Pandharipande
  • Mathematics,
  • Feature
Rahul Pandharipande

A Celebration of Algebraic Geometry, August 25-28, 2011 Rahul Pandharipande: Kappa classes on the moduli spaces of curves

Quasi-solid solution behavior in LiFePO4
  • Chemical Engineering,
  • Demonstration
Quasi-solid solution behavior in LiFePO4

Phase separation is suppressed as discharge rate is increased (I/I0=.03) and the critical current is approached. There is not enough time for complete phase-separation, and a quasi-solid solution forms.

Product Rule and Quotient Rule
  • Mathematics,
  • Feature
Product Rule and Quotient Rule

Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations.

Problems III
  • Mathematics,
  • Feature
Problems III

Problems II
  • Mathematics,
  • Feature
Problems II

Problems I
  • Mathematics,
  • Feature
Problems I

Problem session: Steven Kleiman
  • Mathematics,
  • Feature
Problem session: Steven Kleiman

A Celebration of Algebraic Geometry, August 25-28, 2011 Steven Kleiman: Curve Counting a la Gottsche

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