New Courses on MIT's OpenCourseWare

A few new courses available on MIT's OpenCourseWare:

Prediction: Machine Learning and Statistics

Prediction is an important step in science, with the ability to extend a theory to yet-unobserved phenomenon. Over the past decades, this has been extended by machine learning, a generic name to cover all the techniques and algorithms that can make predictions based on a set of data. MIT's 15.097 "Prediction: Machine Learning and Statistics" covers the most important parts of this field of Artificial Intelligence.

Introduction To MATLAB Programming

MATLAB has evolved a lot over the last few years and its domains of applications are limitless: modelization, data processing and visualization and so forth.  MIT's 18.S997 "Introduction to MATLAB Programming" will help those beginning with that software and explains the very basics and progress through a few elementary steps: root finding, plotting and some other computations.

18.781 Theory of Numbers - MIT OpenCourseWare

MIT has released an introduction course to number theory under the 18.781 course.

18.330 Introduction to Numerical Analysis (MIT)

On its http://ocw.mit.edu, the MIT has published the new version of the undergraduate course 18.330 Introduction to Numerical Analysis, dated of Spring 2012.

A good grasp of calculus, differential equations and linear algebra is required to fully enjoy it.

The topics covered are:

• Series expansions: from calculus to computation
• Integrals as sums and derivatives as differences
• Interpolation, splines, and a second look at numerical calculus
• Numerical methods for ODE, initial-value problems
• Root finding, Newton's method, boundary-value problems
• Fourier transform, Fourier series, Shannon sampling theory
• Bandlimited interpolation, spectral methods
• Least-squares approximation
• Principal component analysis

Numerical Analysis is the underpinning of modelisation and simulation ,  at the heart of modern physics and engineering fields.