ANDHRA UNIVERSITY, WALTAIR

 

M.Sc. APPLIED MATHEMATICS, THIRD SEMSTER

 

AM-302 : TECHNIQUES OF APPLIED MATHEMATICS - III

                                        

[A total of seven questions are to be set.  All questions carry equal marks.  The first question which is compulsory carries 20 marks.  It consists of 4 short answer sub questions each of five marks covering the entire syllabus.  The remaining six questions each carrying 20 marks are to be set as suggested in the body of the syllabi.]

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The vibrating string, Boundary value problems of Mathematical Physics, Eigen values and Eigen functions, Eigen function expansions, upper and lower bounds of eigen functions. ( Article : 3.5 to 3.9 of the Text book)

(One question is to be set)

Orthogonal co-ordinate systems, separation of variables, Sturm- Lioville problems, series solutions of boundary value problems. ( Article : 4.1 and 4.2 of the Text book)

Greens functions: Non homogeneous boundary value problems, one dimensional Green’s function, Generalised functions, Green’s function in higher dimensions, problems in unbounded regions. ( Article : 5.1 to 5.5 of the Text book)

(Three questions are to be set)

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Text Book:

John W.Dettman, Mathematical methods in Physical and Engineering, Mc. Graw Hill Book company, second edition. (1969).