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This series of lectures gives an introduction to complex analysis.

This string theory lecture focuses on holographic duality (also known as gauge / gravity duality or AdS / CFT) as a novel method of approaching and connecting a range of diverse...

This online course teaches the toolkit for mastering challenges in computational psychiatry. It covers a variety of mathematical models for studying learning, decision-making or...

This short online course is designed for engineers, scientists, medical personnel, managers, and others who work with lasers and/or fiberoptics, or who anticipate working with...

This online lecture gives an introduction to the dependability and reliability of hardware and software systems.

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

This online lecture covers eg.: 1. Direct Methods for linear systems of equations 2. Interpolation 3. Iterative Methods for non-linear systems of equations 4. Krylov methods for...

This lecture series focuses on the "emerging field" of "Quantum Geometry". Here, the expertise of both mathematicians and physicists are brought together in order to make...

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

Topics covered in this online lecture (part 2) include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum,...

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 lecture provides an introduction to mathematical modeling of computational problems.

This series of online lectures explores the physical and social form of cities. It covers theories about the form that settlements should take and attempts a distinction between...

This online lecture explores the dynamics of evolution, including various mathematical models.

This online lecture offers a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and...

This lecture complements (and builds on top of) the lectures "Introduction to Pattern Recognition" and "Pattern Recognition". The lecture focusses on modeling of densities, and...

This online lecture covers the experimental basis of quantum physics. It introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in...

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 is an introduction to the theory that tries to explain how minds are made from collections of simpler processes.

The overall goal of this course is to familiarize the students with the potential, the requirements and the problems of designing dynamic biological elements that are of central...