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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 provides an introduction to mathematical modeling of computational problems.

This is the second of a two-part online lecture beginning with Atomic and Optical Physics I that provides the foundations for contemporary research in selected areas of atomic...

This online lecture explores statistical modeling and control in manufacturing processes.

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 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 a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. (The title of part 2 is:...

This online course aims to provide students with an understanding of the role computation can play in solving problems. It teaches how to solve problems with basic computer...

This online lecture introduces students to the modeling, quantification, and analysis of uncertainty.

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...

This online lecture examines the choices and constraints regarding sources and uses of energy by households, firms, and governments through a number of frameworks to describe...

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 lecture series gives an introduction to the concepts behind special relativity, including length contraction, time dilation, the Lorentz transformation, relativistic...

This online course gives an introduction to core microeconomic issues in economic development, focusing on both key theoretical contributions and empirical applications to...

This online lecture covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions,...

This graduate-level online lecture includes numerical methods; initial-value problems; network flows; and optimization. (The title of part 1 is: Computational Science and...

This short online course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB® in particular.

This online lecture deals primarily with equilibrium properties of macroscopic systems, basic thermodynamics, chemical equilibrium of reactions in gas and solution phase, and...

This online lecture provides an introduction to the chemistry of biological, inorganic, and organic molecules.The emphasis is on basic principles of atomic and molecular...