Analysis of Transport Phenomena I: Mathematical Methods

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170 h
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  • 17 Sequences
  • Advanced Level
  • Starts on September 8, 2020
  • Ends on January 5, 2021

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Course details

Syllabus

There will befive chapters, each containing lightboard lecture videos, online tutorials, and a homework assignment, followed by a final exam.

  1. Continuum Models (conservation equations and boundary conditions, stochastic and thermodynamic models of diffusion)
  2. Mathematical Formulation (dimensionless variables, dimensionality reduction, pseudosteady approximation)
  3. Scaling (dimensional analysis, similarity solutions)
  4. Asymptotics (regular and singular perturbations, matched asymptotic expansions)
  5. Series Expansions (Fourier series, eigenfunction expansion)

Prerequisite

Required: Multivariable calculus and ordinary differential equations.

Recommended: Some familiarity with partial differential equations and transport phenomena at the undergraduate level.

Instructors

Martin Bazant
E. G. Roos (1944) Professor of Chemical Engineering and Professor of Mathematics
Massachusetts Institute of Technology

Editor

MIT is a world-class educational institution where teaching and research — with relevance to the practical world as a guiding principle — continue to be its primary purpose.

MIT is independent, coeducational, and privately endowed. Its five schools and one college encompass numerous academic departments, divisions and degree-granting programs, as well as interdisciplinary centers, laboratories and programs whose work cuts across traditional departmental boundaries.

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