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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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81 - 100 of 126
Lecture 5: Green's Theorem
  • MIT OpenCourseWare,
  • Educational
Lecture 5: Green's Theorem

Video Description: Herb Gross discusses Green's Theorem: The relationship between line integrals and double integrals over a region in 2-space. Instructor/speaker: Prof. Herbert Gross

Lecture 5: Integrals Involving Parameters
  • MIT OpenCourseWare,
  • Educational
Lecture 5: Integrals Involving Parameters

Video Description: Herb Gross show how the chain rule is involved in finding some integrals involving parameters. He computes the derivatives of integrals with constant limits, as well as derivatives of integrals with variable limits of integration (chain rule). ...

Lecture 5: Maxima and Minima in Several Variables
  • MIT OpenCourseWare,
  • Educational
Lecture 5: Maxima and Minima in Several Variables

Video Description: With our knowledge of matrix algebra to help, Herb Gross teaches how to find the local maxima and minima of functions of several real variables. Instructor/speaker: Prof. Herbert Gross

Lecture 5: The Cross Product
  • MIT OpenCourseWare,
  • Educational
Lecture 5: The Cross Product

Video Description: Herb Gross defines the arithmetic structure of the cross product of two vectors. He then provides an interpretation of the magnitude of cross product as area. He concludes with a brief look at determinants. Instructor/speaker: Prof. Herbert Gross

Lecture 6: Equations of Lines & Planes
  • MIT OpenCourseWare,
  • Educational
Lecture 6: Equations of Lines & Planes

Video Description: Herb Gross discusses the topic of equations of lines and planes in 3-dimensional space. Topics include: The normal vector to a plane; Parallel planes; Equation of a plane; Equation of a line in space. Instructor/speaker: Prof. Herbert Gross

Lecture 6: Exact Differentials
  • MIT OpenCourseWare,
  • Educational
Lecture 6: Exact Differentials

Video Description: Herb Gross explains the necessary and sufficient condition for an expression of the form Mdx + Ndy to be an exact differential. Instructor/speaker: Prof. Herbert Gross

Limits and Continuous Functions
  • Mathematics,
  • Feature
Limits and Continuous Functions

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

Linear Approximation/Newton's Method
  • Mathematics,
  • Feature
Linear Approximation/Newton's Method

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

Lucia Caporaso
  • Mathematics,
  • Feature
Lucia Caporaso

A Celebration of Algebraic Geometry, August 25-28, 2011 Lucia Caporaso: Brill-Noether theory over the moduli space of stable curves

Lucia Caporaso-Introductory lecture
  • Mathematics,
  • Feature
Lucia Caporaso-Introductory lecture

N\'eron models, compactified jacobians and combinatorial divisor theory

Lucia Caporaso-Main lecture
  • Mathematics,
  • Feature
Lucia Caporaso-Main lecture

N\'eron models, compactified jacobians and combinatorial divisor theory

Math Prize for Girls 2012 Awards Ceremony - 2011 Math Prize ...
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - 2011 Math Prize Olympiad ...

Announcer: Dr. Mary O'Keefe

Math Prize for Girls 2012 Awards Ceremony - Introductory ...
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Introductory Remarks

Math Prize for Girls 2012 Awards Ceremony - Keynote Lecture
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Keynote Lecture

Dr. Esther Duflo

Math Prize for Girls 2012 Awards Ceremony - Panel Discussion
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Panel Discussion

Math Prize for Girls 2012 Awards Ceremony - Presentation of ...
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Presentation of Honorable ...

Math Prize for Girls 2012 Awards Ceremony - Tiebreaker ...
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Tiebreaker Round and ...

Announcer: Dr. Ravi Boppana

Math Prize for Girls 2012 Awards Ceremony - Welcome
  • Mathematics,
  • Event
Math Prize for Girls 2012 Awards Ceremony - Welcome

Emcee: Lauren Frank  Emcee: Nacole Palmer

Max and Min and Second Derivative
  • Mathematics,
  • Educational
Max and Min and Second Derivative

Here is a real-world example of a minimum problem: What route from home to work takes the shortest time?

Mikhail Kapranov-Introductory lecture
  • Mathematics,
  • Feature
Mikhail Kapranov-Introductory lecture

From Arakelov bundles to Arakelov sheaves

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