INTRODUCTION TO METHODSOF APPLIED MATHEMATICS

COURSE OUTLINE

ABOUT INSTRUCTORProf. Mani Mehra is presently working as an Associate Professor in the department of Mathematics, IIT Delhi. She earned her PhD from IIT Kanpur in 2005.

Prof. Vivek Kumar Aggarwal in presently worked as an Assistant Professor dept. of Applied Mathematics, DTU Delhi. He earned his PhD in Mathematics from IIT Kanpur in 2005.

This course is aimed at �nal year undergraduate and graduate students in engineering, physics and applied mathematics. This will cover the very important and essential topics used by almost all branches of Science and engineering.

COURSE PLANWeek 1 : IntroductionWeek 2 : Applications of Green Function to solve, some ODE Week 3 : Introductions of Integral equations, classi�cation Week 4 : Applications of Integral equation to solve various Problems Week 5 : Laplace Transforms and its properties Week 6 : Application of Laplace Transforms to solve various Problems Week 7 : Fourier Transforms and its properties Week 8 : Application of Fourier Transforms to solve various Problems Week 9 : Orthogonal expansions, orthogonal Polynomials and their Properties Week 10 : Application of Orthogonal Polynomials Week 11 : Introduction to Wavelets Week 12 : Applications of Wavelets to solve various ODE/PDE

PROF. VIVEK KUMAR AGARWALDepartment of MathematicsIIT Delhi

UG and PG students of technical universities/collegesINTENDED AUDIENCE :

PROF. MANI MEHRADepartment of MathematicsIIT Delhi

Goldman Sachs, FinMachenics, Deutsche Bank and other �nance companies.INDUSTRIES APPLICABLE TO :

TYPE OF COURSE PRE-REQUISITES

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New | Core/Elective | UG/PGA basic course on Probability

EXAM DATECOURSE DURATION

16 Nov 201912 weeks (29 Jul’19 - 18 Oct’19)

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