TEW - Linear Algebra and Probability (2026)

Speakers and Syllabus

Teacher Enrichment Workshop (TEW) on Linear Algebra and Probability, designed to support and inspire faculty members in mathematics and related disciplines. This workshop aims to provide participants with deeper insights, pedagogical approaches, and practical exposure to two of the most fundamental areas of mathematics that have wide applications across science, engineering, and data-driven fields.

Linear Algebra forms the backbone of modern mathematics and technology, with applications in computer science, cryptography, optimization, machine learning, and network theory. The workshop sessions will revisit core concepts while introducing advanced perspectives, problem-solving techniques, and classroom strategies to enhance teaching and student engagement.

Probability is a vital tool for modeling uncertainty and randomness, with direct implications in statistics, data analysis, artificial intelligence, and real-world decision-making. The sessions will highlight intuitive explanations, illustrative examples, and methods for effectively communicating abstract concepts to students.

The workshop will be led by experienced resource persons who will share their expertise through lectures,discussions, and problem-solving sessions. This program offers a valuable opportunity for teachers to update their knowledge, exchange ideas, and strengthen their teaching practices for the benefit of students and institutions.

Syllabus:
Linear Algebra: vector spaces (over real and complex numbers), basis and dimension; Linear transformations and matrices; Rank-Nullity theorem. Inner products and orthogonality, determinants, eigenvalues and eigenvectors, diagonalisation of symmetric matrices.
Probability: basic notions of probability, conditional probability and independence, Bayes’ theorem,random variables and distributions, expectation and variance, conditional expectation, moment generating  functions, limit theorems.
Combinatorics: induction, pigeonhole principle, inclusion-exclusion, posets and the Möbius inversion formula, recurrence relations.

 

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Dr.B.Ravinder
Assistant Professor
IIT Thirupathi		 6 Linear Algebra: vector spaces (over real and complex numbers), basis and dimension; Linear transformations and matrices; Rank-Nullity theorem.
R. Venkatesh
Associate Professor
IISc, Bengaluru		 6 Linear Algebra: inner products and orthogonality, determinants, eigenvalues and eigenvectors, diagonalisation of symmetric matrices.
Dr. M. Ashok Kumar
Associate Professor
IIT Palakkad		 6 Probability: basic notions of probability, conditional probability and independence, Bayes’ theorem, random variables and distributions, expectation and variance, conditional expectation, moment generating functions, limit theorems.
Dr.G.Arunkumar
IIT Madras		 6 Combinatorics: induction, pigeonhole principle, inclusion-exclusion, posets and the Möbius inversion formula, recurrence relations.

References:

  1. Strang, G., Linear Algebra and its Applications, 4th Edition, Brooks/Cole, 2006. Ross, S., Introduction to Probability and Statistics for Engineers and Scientists, Academic Press; 4th ed. (2009),
  2. Artin, M., Algebra, Prentice Hall of India.
  3. Hoffman, K. and Kunze, R., Linear Algebra (2nd Ed.), Prentice-Hall of India, 1992.
  4. Freedman, Pisani and Purves, Statistics, Viva Books; 4th ed. (2011).
  5. Feller, W., An Introduction to Probability Theory and its Applications - Vol. 1, Wiley; 3rd ed. (2008).
  6. Ross, S., A First Course in Probability, Pearson Education; 9th ed. (2013).
  7. Miklos Bona, A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory, 3rd edition, World Scientific.

Tutors

 

S.No. Name Affiliation
1 Chaithra P SRF, IISc Bengaluru
2 V Sathishkumar UG Instructor, IISc Bengaluru

 

 

Time Table

 

Day Date

Lecture 1
(9:30
to
10:30)

Tea
(10:30
to
11:00)

Lecturer 2
(11:00
to
12:00)

Lecturer 2
(12:00
to
01:0 0)

Lunch
(1:00
to
2:30 ) 		Lecture 3
(2:30
to
3.30)

Tea
(3:30
to
4:00 )

Tutorial
(4:00
to
5:00) 		Snacks
(5:00
to
5:30)
Mon 28/12/2026 BR  Tea Break   RV MA  Lunch    GA Tea Break   Discussion Snacks
Tues 29/12/2026 BR RV MA GA Discussion Snacks
Wed 30/12/2026 BR RV MA GA Discussion Snacks
Thu 31/12/2026 BR RV MA GA Discussion Snacks
Fri 01/01/2027 BR RV MA GA Discussion Snacks
Sat 02/01/2027 BR RV MA GA Discussion Snacks

*RV -- Dr. R. Venkatesh, MA --Dr. M. Ashok Kumar, BR - Dr.B.Ravinder, GA - Dr.G.Arunkumar

File Attachments: