IST - Real Analysis (2022)
Speakers and Syllabus
Speakers:
-
Biswaranjan Behera, Stat-Math Unit, ISI Kolkata
-
Anjan Kumar Chakrabarty, Department of Mathematics, IIT Guwahati
-
Sudhir R. Ghorpade, Department of Mathematics, IIT Bombay
-
P. Shunmugaraj, Department of Mathematics and Statistics, IIT Kanpur
Tutors:
-
Sumit Kumar Rano, Post-doctoral fellow, Stat-Math Unit, ISI Kolkata
-
Kuldeep Sarma, Completed Ph.D. (Mathematics) in 2022 from Tezpur University
Speakers and Syllabus:
-
Sudhir R. Ghorpade (6 lectures of 1.5 hours each)
- Sequence and series of real numbers, Limit and continuity of functions, Pointwise and uniform convergence of sequence and series of functions, Power series
-
Biswaranjan Behera (6 lectures of 1.5 hours each)
- Derivative, Taylor's theorem, Riemann integral, Fundamental theorem of calculus, Improper integral
-
Anjan Kumar Chakrabarty (6 lectures of 1.5 hours each)
- Functions of several variables, Differentiability and related results, Chain rule, Mean value theorem
-
P. Shunmugaraj (6 lectures of 1.5 hours each)
- Double integral and triple integral, Change of variables, Line integral and surface integral, Green's theorem
References:
-
S. R. Ghorpade and B. V. Limaye : A Course in Calculus and Real Analysis, 2nd edition (Springer)
-
K. A. Ross : Elementary Analysis - The Theory of Calculus, 2nd edition (Springer)
-
S. R. Ghorpade and B. V. Limaye : A Course in Multivariable Calculus and Analysis (Springer)
-
W. Fleming : Functions of Several Variables (Springer) 5 T. M. Apostol : Calculus, Vol.II (Wiley)
Time Table
Schedule
Time |
9:30-11:00 |
|
11:30-1:00 |
|
2:00-3:00 |
|
3:30-4:30 |
|
Mon 5 Dec |
BB |
|
SRG |
|
BB/SKR |
|
SRG/KS |
S |
Tue 6 Dec |
BB |
T |
SRG |
L |
BB/SKR |
T |
SRG/KS |
N |
Wed 7 Dec |
BB |
E |
SRG |
U |
BB/SKR |
E |
SRG/KS |
A |
Thu 8 Dec |
BB |
A |
SRG |
N |
BB/SKR |
A |
SRG/KS |
C |
Fri 9 Dec |
BB |
|
SRG |
C |
BB/SKR |
|
SRG/KS |
K |
Sat 10 Dec |
BB |
|
SRG |
H |
BB/SKR |
|
SRG/KS |
S |
Sun 11 Dec |
|
|
|
|
|
|
|
|
Mon 12 Dec |
AKC |
|
PS |
|
AKC/SKR |
|
PS/KS |
S |
Tue 13 Dec |
AKC |
T |
PS |
L |
AKC/SKR |
T |
PS/KS |
N |
Wed 14 Dec |
AKC |
E |
PS |
U |
AKC/SKR |
E |
PS/KS |
A |
Thu 15 Dec |
AKC |
A |
PS |
N |
AKC/SKR |
A |
PS/KS |
C |
Fri 16 Dec |
AKC |
|
PS |
C |
AKC/SKR |
|
PS/KS |
K |
Sat 17 Dec |
AKC |
|
PS |
H |
AKC/SKR |
|
PS/KS |
S |
BB: Biswaranjan Behera SRG: Sudhir R. Ghorpade AKC: Anjan Kumar Chakrabarty PS: P. Shunmugaraj |
SKR:Sumit Kumar Rano KS: Kuldeep Sarma |