Free Online Math Classes  Page 16

Topics in Geometry: Mirror Symmetry
Denis Auroux, Math — Massachusetts Institute of Technology (MIT)
Spring 2009Students who are familiar with symplectic and complex geometry will explore mirror symmetry in this graduate level course.

Topics in Lie Theory: Tensor Categories
Pavel Etingof, Math — Massachusetts Institute of Technology (MIT)
Spring 2009This class provides students with a thorough introduction to theory of tensor categories and their connection to various ring theories.

Topics in Several Complex Variables
Victor Guillemin, Math — Massachusetts Institute of Technology (MIT)
Spring 2005This course covers various topics including complex manifold harmonic theory, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems.

Topics in Statistics: Nonparametrics and Robustness
Richard Dudley, Math — Massachusetts Institute of Technology (MIT)
Spring 2005In this class, students learn about early 20th century onedimensional nonparametric statistics.

Topics in Statistics: Statistical Learning Theory
Dmitry Panchenko, Math — Massachusetts Institute of Technology (MIT)
Spring 2007This class explores empirical process theory and other machine learning algorithms.

Topics in Theoretical Computer Science: An Algorithmist's Toolkit
Jonathan Kelner, Math — Massachusetts Institute of Technology (MIT)
Fall 2009This course covers geometric applications in modern algorithm design.

Topics in Theoretical Computer Science: Internet Research Problems
Bruce Maggs, Math — Massachusetts Institute of Technology (MIT)
Spring 2002In this class, students will discuss and research current mathematical issues affecting the internet.

The Khan Academy's trigonometry video course covers radians and degrees, trigonometric functions and graphs, and proofs.

Topics studied include trigonometric functions, relationships, and graphs; identities and trigonometric equations; composite, multiple, and halfangle formulas; complex numbers; and DeMoivre's theorem.

The trigonometry and precalculus course covers the basic topics found in this are of mathematical study, including functions, quadratics, and absolute values.

Students will learn about basic trigonometry in this course.

Students will be given a detailed look at shapes prevalent in science, which are conic sections.

This course looks at exponential and logarithmic functions as well as many of their graphs and properties.

Students will revisit functions and how they can be defined and visualized.

This course explains graphing on a coordinate plane, slope, and introduces other analytic geometry.

In this course, students will learn about the hyperbolic triginometry functions.

Students will gain an understanding of imaginary and complex numbers on a plane.

Students will preview the calculus topics of limits in this course.

This course provides an understanding of parametric equations and polar coordinates, which are alternatives to Cartesian coordinates.

In this course, students will investigate quadratics and higher degree polynomials and take an indepth look at rational functions.

This course introduces students to the basics of probability and combinatorics.

In this course, students will learn about a variety of concepts in math that help in dealing with sequences and proofs.

This course explains what happens when there are many variables but also many constraints.

In this course, students will discover relationships between trigonometry functions and deepen their understanding of the subject.

Undergraduate Seminar in Discrete Mathematics
Daniel Kleitman, Math — Massachusetts Institute of Technology (MIT)
Spring 2006This is a seminarbased course presented by students that covers combinatorics, graph theory, and discrete mathematics in general.

This is a collection of material suitable for those with an understanding of realvalued functions that introduces different convergence sequences.

This course focuses on algebra applications that can be used in everyday situations and problems.

Wavelets, Filter Banks and Applications
Gilbert Strang, Math — Massachusetts Institute of Technology (MIT)
Spring 2003In this class, students learn how to use wavelets to represent short term events.