|
Convener(s) |
||||
| Name: | Dr. G. P. Youvaraj | Dr. G. Ramesh | Dr. R. Arulprakasam | Dr. R. Perumal |
| Mailing Address: |
Professor, |
Associate Professor, Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamil Nadu. |
Associate Professor, Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamil Nadu. |
Associate Professor, Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamil Nadu. |
| Email: | youvarajgp at yahoo.com | rameshg1 at srmist.edu.in | arulprar at srmist.edu.in | perumalr at srmist.edu.in |
This Teachers’ Enrichment Workshop (TEW) is aimed primarily for mathematics teachers at the undergraduate and postgraduate levels. While research scholars in mathematics may also apply, they will be given lower preference in the selection. The sessions will be focused towards improving the understanding of the fundamental concepts and results in Linear Algebra, Partial Differential Equations and Fourier Analysis. Problem solving is the key in learning mathematics. So participants are required to work on problem solving every day. Hence, only those who are interested in learning and working on problems on a daily basis are welcome to apply.
Dates:
Venue:
Venue Address:
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology (Deemed to be University), Kattankulathur-603203, Tamil Nadu.
Venue State:
Venue City:
PIN:
Syllabus:
-
Speaker
Affiliation
Topic(s)
Number of lecture
hours
Number of tutorial hours
Dr. K. N. Raghavan
KREA University,
Andhra PradeshLinear Algebra
9
2(conduct) + 2(assist)
Dr. Thirupathi Gudi
IISc, Bangalore
Partial Differential
Equations9
2(conduct) +2(assist)
Dr. G. P. Youvaraj
RIASM, Chennai
Fourier Analysis
9
2(conduct) + 2(assist)
Linear Algebra (LA):
Systems of Linear Inequalities: Standard Forms; Fourier-Motzkin Elimination
Existence of Solutions: Farkas’Lemma, Theorems of the Alternative; Convex Cones and Structure of Solutions.
Linear Programming: Existence of Optimal Solutions; Duality.
Partial Differential Equations (PDE):
Introduction to PDE, solving linear, semi-linear, quasilinear, and fully non-linear first-order equations by the method of characteristics. Conservation laws, Laplace equation (Fundamentalsolution,MeanValueProperties,MaximumprinciplesandAnalyticity). Heat equation (Fundamental Solution, infinite speed of Propagation and Maximum Principles).Wave equation (D'Alembert's solution, finite speed of propagation, method of reflection). Solutions of heat and wave equations using Transform techniques.
Fourier Analysis (FA):
Fourier series and convergence, pointwise and uniformconvergence, Gibbs phenomenon, Fourie integrals, Fourier transform and its basic properties, Plancherel and Parseval identities, Fourier series with respect to complete orthonormal sets in Hilbert spaces, Laplace transformation and its applications.
References:
-
Kazuo Murota, Masaaki Sugihara, Linear Algebra II, Advanced Topics for Applications, (World Scientific Low-Priced Edition).
-
Gilbert Strang, Linear Algebra and Its Applications, Cengage.
-
Hoffman and Kunze, Linear Algebra, Pearson.
-
AnIntroductiontoPartialDifferentialEquations- Y.Pinchover,J. Ruben stein (Cambridge, 2005).
-
Lawrence C.Evans, Partial Differential Equations, AMS.
-
FritzJohn, Partial Differential Equations, Springer.
-
G. B. Folland, Fourier Analysis and Its Applications, BrooksandCole.
-
Elias M. Stein and Rami Shakarchi, Fourier Analysis: An Introduction, Princeton University Press.
-
T. W. Körner, Fourier Analysis, Cambridge University Press.
-
Rajendra Bhatia, Fourier Series,The Mathematical Association of America.
Time Table:
-
Time
09.30
to
11.00Lecture
11.15
to
12.45Lecture
14.00
to
15.30Lecture
15.45 to 16.45
Tutorial
Mon
June 08KNR
TG
L
GPY
TG & KNR
S
Tue
June 09GPY
T
KNR
U
TG
T
KNR & GPY
N
Wed
June 10TG
E
GPY
N
KNR
E
GPY & TG
A
Thu
June 11GPY
A
TG
C
KNR
A
TG & KNR
C
Fri
June 12TG
KNR
H
GPY
KNR & GPY
K
Sat
June 13KNR
GPY
TG
GPY & TG
S
Selected Applicants:
How to Reach:
TBA