Modeling and Mathematical Methods for Process and Chemical Engineers

In this course we study non-numerical solutions of systems of ordinary differential equations and first order partial differential equations, with application to chemical kinetics, simple batch distillation, and chromatography.

Topics covered

  • Introduction to systems of first order linear differential equations (ODEs)
  • Linearization of nonlinear ODEs
  • Residue Curve Maps
  • Introduction to first order partial differential equations (PDEs)
  • Method of characteristics
  • Application to pure component and binary chromatography

Textbooks and further reading

  • A. Varma, M. Morbidelli, Mathematical methods in chemical engineering, Oxford University Press, New York-Oxford, 1997
  • H. K. Rhee, R. Aris, N. R. Amundson, First-order partial differential equations, Volume 1, Dover Publications, Mineola, New York, 1986
  • J. D. Meiss, Differential dynamical systems, SIAM, Philadelphia, 2007
  • D. W. Jordan, P. Smith, Nonlinear ordinary differential equations (4th edition), Oxford University Press, New York-Oxford, 2007

Links

external pageWolfram Mathworld

Download the lecture notes and the exercises

Due to the Coronavirus, the lecture will be recorded. The lecture material of the whole course, which was used to record the videos, can be downloaded protected pagehere (Protected material, ETH login required).

The videos for the lectures of a previous year can be found here.

Office hours

Please contact the teaching assistants by mail.

Anna Jaeggi

 

 

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