TEW - Analysis and Ordinary Differential Equations (2026)

Speakers and Syllabus

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

 

Prof.K.Sreenadh,
HAG Professor,IIT Delhi.

 

6

Existence and Uniqueness of Initial Value Problems: Picard's and Peano's Theorems,Gronwall's inequality,continuation of solutions and maximal interval of existence, continuous dependence. Linear Systems,matrix exponential solution,Autonomous Systems and its applications.

 

Prof. Debdip Ganguly,
Associate Professor, ISI Delhi

 

6

 Limits of a function, Continuous function, uniform continuity, Holder
continuity, Metric spaces, Contraction map and its applications to
Fixed point Theorem, convergence of sequences of functions.
Compact spaces, Characterization of compact metric spaces,
locally compact space, Arzela-Ascoli Theorem and its applications

 

Prof.Harish Kumar,
Professor, IIT Delhi

6

Phase Plane Analysis, critical points,linearized stability Theory and Lyapunov methods.

Dr.Sarika Goyal,
Assistant Professor, NSUT Delhi

6

Sturm-Liouvilleo scillation theory,Greens functions,Boundary value problems.

 

References:

    1. M. Hirsch, S. Smale and R. Deveney, Differential Equations, Dynamical Systems and Introduction to Chaos, Academic Press, 2004.
    2. L. Perko, Differential Equations and Dynamical Systems, Texts in Applied Mathematics, Vol. 7, 2nd Edition, Springer Verlag, New York, 1998.
    3. D. A. Sanchez, Ordinary Differential Equations and Stability Theory: An Introduction, Dover Publ. Inc., New York, 1968.
    4. Shair Ahmad and Antonio Ambrosetti, A textbook on Differential Equations, Springer
    5. T. Apostol, Mathematical Analysis, 2nd Edition, Narosa, 2002.
    6. W. Rudin, Principles of Mathematical Analysis, 3rd Edition, McGraw-Hill, 1984.
    7. H. L. Royden, Real Analysis, 3rd Edition, Macmillan, 1988.
    8. K. Ross, Elementary Analysis: The Theory of Calculus, Springer Int. Edition, 2004.

Name of the tutors:

S.No.

Name

Affiliation

1

Miss Nidhi Kaushik

IIT Delhi

2

Mr.Shammi Malhotra

IIT Delhi

Time Table

 

Day

Date

Lecture1

(9.30
to
10:30)

Tea
(10.35
to
10:55)

Lecture2

(11.00-12.00)

Lecture3

(12:00:1:00)

Lunch
(1.00
to
2.30)

Lecture4
(2.30-3.30)

Tea
(3.30
to
4:00)

Discussion
(4:00-5:00)

Mon

06/07/26

DG

 

KS

DG

 

KS

 

DG+SM+NK

Tue

07/07/26

DG

 

KS

DG

 

KS

 

KS+SM+NK

Wed

08/07/26

DG

 

KS

DG

 

SG

 

KS+SM+NK

Thu

09/07/26

SG

 

HK

KS

 

HK

 

SG+SM+NK

Fri

10/07/26

SG

 

HK

SG

 

HK

 

HK+SM+NK

Sat

11/07/26

SG

 

HK

SG

 

HK

 

SG+SM+NK

Full forms for the abbreviations of speakers and tutors:
Prof. K. Sreenadh: KS
Prof. Debdip Ganguly: DG
Prof. Harish Kumar: HK
Dr. Sarika Goyal: SG
Mr. Shammi Malhotra: SM 
Miss Nidhi Kaushik: NK

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