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  1. This course serves as an introduction to the theory and practice behind many of today's communications systems. 6.450 forms the first of a two-course sequence on digital communication. The second class, 6.451, is offered in the spring. Topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM...more

  2. Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent.

  3. Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent.

  4. Showing that the line integral of a scalar field is independent of path direction.

  5. Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions.

  6. Quantization