TEW - Linear Algebra, Differential and Integral Calculus (2026)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
N o . of Lectures |
Detailed Syllabus |
|
Prof. Pralay Chatterjee, |
8 |
Vector spaces, Linear dependence and independence of vectors, Basis and dimension, Linear maps, Rank-nullity theorem, Matrix representation of linear maps, singular value decomposition, Row reduction, Row reduced echelon matrix, Row rank, Column rank, Solving system of linear homogeneous and non-homogeneous equations, row echelon form, reduced row echelon form, Gauss elimination, Cramer's rule, Eigen values, Eigen vectors, diagonalizability, Bilinear forms, and Spectral theorem for normal operators. |
|
Dr. Y Ramu Naidu |
4 |
Limit of a function, continuity and differentiability, Partial differentiation, Total differentiation, Euler’s theorem and generalization, Change of variables- Jacobians, Maxima and minima of functions of several variables (2 and 3 variables), Lagrange’s method of multipliers. |
|
Dr. Shakti Prasad |
4 |
Convergence of improper integrals, Beta and Gamma integrals, Differentiation under integral sign, Double and Triple integrals - computation of surface areas, volumes, change of variables in double and triple integrals. |
|
Dr. Sreenivasa Rao Y |
8 |
Scalar and vector fields, vector differentiation, level surfaces, directional derivative, Gradient of a scalar field, Divergence and curl of a vector field, Laplacian, Line and Surface integrals, Green’s theorem in a plane, Stokes’ theorem and Gauss divergence theorem. |
References:
1. Linear Algebra and its Applications. by Gilbert Strang, Wellesley-Cambridge Press.
2. Linear Algebra, Hoffman and Kunze, Pearson publications.
3. Algebra, M. Artin, Pearson Publications.
4. Thomas’ Calculus by Maurice D. Weir, Joel Hass, Christopher Heil and Przemyslaw Bogacki, Pearson.
5. One-variable calculus, with an introduction to linear algebra. Vol. 1. Apostol, Tom M.
Full forms for the abbreviations of speakers andt utors:
|
S. No. |
Name |
Affiliation |
|
1 |
Prof.Pralay Chatterjee (S1) |
Dept. of Mathematics,IMSc Chennai |
|
2 |
Dr.Y Ramu Naidu (S2) |
Dept. of Mathematics, NIT Jamshedpur |
|
3 |
Dr.Shakti Prasad (S3) |
Dept. of Mathematics, NIT Jamshedpur |
|
4 |
Dr.Y. Sreenivasa Rao (S4) |
Dept. of Mathematics, NIT Warangal |
Name of the tutors:
|
S. No. |
Name |
Affiliation |
|
1 |
Prof. Pralay Chatterjee (T1) |
Dept. of Mathematics, IMSc Chennai |
|
2 |
Dr.Y. Sreenivasa Rao (T2) |
Dept. of Mathematics, NIT Warangal |
|
3 |
Dr.Y Ramu Naidu (T3) |
Dept.of Mathematics, NIT Jamshedpur |
|
4 |
Dr.Shakti Prasad (T4) |
Dept.of Mathematics, NIT Jamshedpur |
Time Table
|
Day |
Date |
Lecture1 (9.30– 10.30) |
Tea |
Lecture2 (11.00 |
Lecture3 (12.00 to1.00) |
Lunch |
Lecture 4 (2.30-3.30) |
Tea |
Discussion (4.00-500) |
Snacks (5.05 – |
|
|
|
(Speaker’ s name) |
|
(Speaker’ s name) |
(Speaker’ s name) |
|
(Speaker’ s name) |
|
(Tutor’s name) |
|
|
Mo |
03.08.202 |
S1 |
|
S2 |
S1 |
|
S2 |
|
T1,T3,T4 |
|
|
Tue |
04.08.202 |
S1 |
|
S2 |
S1 |
|
S2 |
|
T1,T3,T4 |
|
|
Wed |
05.08.202 |
S1 |
|
S4 |
S1 |
|
S4 |
|
T1,T3,T4 |
|
|
Thu |
06.08.202 |
S1 |
|
S4 |
S1 |
|
S4 |
|
T2,T3,T4 |
|
|
Fri |
07.08.202 |
S4 |
|
S3 |
S4 |
|
S3 |
|
T2,T3,T4 |
|
|
Sat |
08.08.202 |
S4 |
|
S3 |
S4 |
|
S3 |
|
T2,T3,T4 |
|