1. MCL 704 : Applied Mathematics for Thermofluids: 3-0-0-2
P M V Subbarao
Professor
Mechanical Engineering Department
Chairman, Committee of SEG Coordinators
Class Room : LH 623
Slot B
Timings : 9.30 am to am on Monday & Thursday

2. Syllabus : Phase 1
Concept of mathematical description for Thermofluids.
Multi-dimensional nature &Vector Calculus for description of
Thermofluids.
Superiority of differential equation methods in Thermofluids.
Review of ordinary differential equations.
Strum-Liouville theory.
Initial-boundary value problems.
Linear and Non-linear systems.
Theory of linear homogeneous and nonhomogeneous equations.
Non-linear systems: Series solutions of linear ordinary differential equations.

3. Syllabus : Phase 1 Special functions.
PDEs, classification of PDEs: 1st & 2nd order PDE - Planar, cylindrical and spherical geometries,
Homogeneous and non homogeneous PDEs.
Stability and instability of regular system.

4. Books
Engineering Differential Equations: Theory and Applications, Bill Goodwine; Springer.
Partial Differential Equations: Graduate Level Problems and Solutions, Igor Yanovsky, 2005.
Partial Differential Equations : Lecture Notes, T. Muthukumar.
Analytical Techniques for Partial Differential Equations : Lecture Notes, T. Muthukumar:
Partial Differential Equations : Lecture Notes, Erich Miersemann, Department of Mathematics, Leipzig University Version October, 2012.