







Mathematical Methods in Engineering I






Organization:  University of Notre Dame 
Department:  Department of Chemical Engineering 






College






Development of a comprehensive, but introductory, understanding of linear analysis as applied to algebraic and differential systems. This is done by applying the general solution methods, inverse operators and spectral expansions, to a variety of problems chosen for either their physical or mathematical interest.






* Mathematical Methods in Chemical Engineering by Varma and Morbidelli Oxford (1997) * Principles and Techniques of Applied Mathematics by Friedman Dover (1990) * Foundations of Applied Mathematics by Greenberg PrenticeHall (1978) 





This is an applied math course that is intended to serve the dual role of being the only graduate mathematics class for many chemical engineers (suggesting a need for breadth) but just the first of many others (suggesting a need for some depth) It is application motivated and problem based. Proofs are done only when they give special insight. Topics include a comprehensive introduction to linear algebra, a selected treatment of ordinary differential equations as they apply to important problems in engineering and science and a brief introduction to partial differential equations that arise in science and engineering. Every attempt is made to unify the linear operator concept throughout the topics of this course. Topics: Linear algebra:  Basic linear algebra
 Applications of linear algebra
 Linear spaces and linear operators
 Algebraic eigenvalue problems
Linear ordinary differential equations:  Initial value problems
 Boundary value problems
 Differential eigenvalue problems
Partial Differential Equations:  Order and classifications
 Separation of variables
 Similarity solutions
 Finite Fourier Transform












http://www.nd.edu/~mjm/cheg542.html

