Instructor: Dennis Freeman Description: Drawing analogies with previous concepts in discrete-time systems, this lecture discusses the block diagrams, polynomial expressions, poles, convergence regions, and fundamental modes of continuous-time systems.
Instructor: Dennis Freeman Description: After reviewing concepts in discrete-time systems, the Z transform is introduced, connecting the unit sample response h[n] and the system function H(z). The lecture covers the Z transform's definition, properties, examples, and ...
Instructor: Dennis Freeman Description: Having established representations and analytical methods for discrete-time and continuous-time systems, today's lecture uses the example of a leaky tank to show how Euler and trapezoidal approximations can convert a continuous ...
Instructor: Russ Tedrake Description: Prof. Tedrake introduces the power and complexity of modern control systems, which use feedback to stabilize and compensate for delays and other errors. Examples are taken from his research into perching planes and other ...
Instructor: Dennis Freeman Description: Additional examples today illustrate the use of feedback to reduce sensitivity to variable component parameters and crossover distortion in audio systems, and to control two unstable systems (magnetic levitation, inverted ...
Instructor: Dennis Freeman Description: In the next half of the course, periodic functions are represented as sums of harmonic functions, via Fourier decomposition. Linear time-invariant systems amplify and phase-shift these inputs to produce filtered output, an ...
Instructor: Dennis Freeman Description: The response of a system to sinusoidal input gives valuable information about its behavior in the frequency domain, similar to convolution in the time domain. Eigenfunctions and vector plots are used to explore this frequency ...
Q&A with Denis Leblanc: Sample collection, diffusion sampling, contaminant storage, water lifting, multi-level samplers, contaminant plume cleanup.
Instructor: Dennis Freeman Description: This lecture introduces the administrative details of the course, and uses examples from several engineering fields to illustrate the central abstraction of 6.003: analysis and design of systems via their signal transform ...
Instructor: Dennis Freeman Description: In linear time-invariant systems, breaking an input signal into individual time-shifted unit impulses allows the output to be expressed as the superposition of unit impulse responses. Convolution is the general method of ...
Description: This recitation revisits the perfect-information blackjack problem that was covered in lecture. Instructor: Victor Costan
Description: This recitation covers the wood-cutting problem (dynamic programming) and Bloom filters (hashing, probability). Instructor: Victor Costan
Note: This video is from the Fall 2007 class. This lecture continues the discussion of transformation and subversion in 1970s films, specifically as embodied in work of director Robert Altman. Outline - Robert Altman (1925-2006) - Career - Defining qualities: - Moral ...
Description: This lecture introduces computational complexity, including how most decision problems are uncomputable, hardness and completeness, and reductions. Instructor: Erik Demaine
Description: This lecture talks about the relationship between the poor and entrepreneurship. Instructor: Abhijit Banerjee
Description: This lecture discusses theories and policies developed to help fight poverty. Instructor: Abhijit Banerjee
Description: This lecture discusses the impact of political economics on the world's poor. Instructor: Abhijit Banerjee
Description: The professor provides some final thoughts to conclude the course on the challenges of world poverty. Instructor: Abhijit Banerjee
This lecture discusses the ways in which risk is costly to the poor and if insurance is beneficial to this population. Instructor: Abhijit Banerjee
This lecture covers risk and insurance for the world's poor. Instructor: Abhijit Banerjee