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This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application.

Effective field theory is a fundamental framework to describe physical systems with quantum field theory.

Highlights of Calculus is a series of short online videos that introduces the basics of calculus—how it works and why it is important.

This online course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous functions (in the topological sense), function spaces,...

This online lecture series gives an introduction to quantum mechanics for use by chemists. Topics include particles and waves, wave mechanics, semi-classical quantum mechanics,...

This online lecture series explores how algorithmic puzzles can be solved with computer programming, using the Python programming language.

This online lecture series explores functional analysis, i.e. solving both linear and nonlinear problems posed on a normed space that is no longer finite-dimensional. Topics...

This online lecture includes the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat...

The purpose of this online lecture is to expose undergraduate and graduate students to the mathematical concepts and techniques used in the financial industry.

This online lecture aims to help students acquire both the mathematical principles and the intuition necessary to create, analyze, and understand insightful models for a broad...

The online lecture serves as an introduction to the theory and practice behind many of today's communications systems.

This online lecture provides an introduction to cellular and population-level systems biology with an emphasis on synthetic biology, modeling of genetic networks, cell-cell...

This online lecture provides an introduction to optical science with elementary engineering applications.

This online lecture is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum...

This online lecture series covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes,...

This online lecture is designed to serve as a first course in an undergraduate electrical engineering (EE), or electrical engineering and computer science (EECS) curriculum.

This online lecture covers social development, social behaviour, social cognition and social neuroscience, in both human and non-human social animals.

This online lecture covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the...

This video lecture series provides an introduction to modern cosmology. The first part of the course deals with classical cosmology, and the later part with modern particle...

This online lecture is an introduction to several fundamental ideas in electrical engineering and computer science, using digital communication systems as the vehicle.