Teacher's Enrichment Workshops

366 - TEW on "Linear Algebra and its Applications"

Dates: 19 November 2020 to 13 December 2020

Venue: IIT Jodhpur

Organizers

Prof. Inder K. Rana Dr. Dilpreet Kaur

Inauguration. : Nov. 19, 2020
Hosted by Dr. Dilpreet Kaur, IIT Jodhpur

Guest Lecture-I.: Nov. 25, 2020
Name of speaker with affiliation : Dr. Pankaj Yadav IIT Jodhpur

Keywords: Logistic Regression Models

Guest Lecture-II. :Dec. 2, 2020
Name of speaker with affiliation: Dr. Chiranjoy Chattopadhyay IIT Jodhpur

Keywords: Digital Image Processing

Lecture 1, week 1 : Nov. 19, 2020
Lecture Title: Why Linear Algebra?
Name of speaker with affiliation : Prof. I. K. Rana IIT Bombay (Retired)

Keywords: System of equations, Gauss Elimination Method

Lecture 2, week 1 : Nov. 20, 2020
Lecture Title:Row Reduced Echelon From
Name of speaker with affiliation : Prof. I. K. Rana IIT Bombay (Retired)

Keywords: Elementary Matrices, RREF.

Lecture 3, week 1 : Nov. 21, 2020
Lecture Title: How Linear Algebra?
Name of speaker with affiliation : Prof. I. K. Rana IIT Bombay (Retired)

Keywords: Bases, Dimension, Rank Nullity Theorem

Lecture 4, week 1 : Nov. 21, 2020
Lecture Title: Linear transformations and Matrix Representations
Name of speaker with affiliation : Prof. I. K. Rana IIT Bombay (Retired)

Keywords: Matrices, Linear transformations

Lecture 5, week 1 : Nov. 22, 2020
Lecture Title: Diagonalizability and Applications
Name of speaker with affiliation : Prof. I. K. Rana IIT Bombay (Retired)

Keywords: Diagonalizable matrices

Lecture 1, week 2 : Nov. 26, 2020
Lecture Title: Linear Transformations
Name of speaker with affiliation : Dr. Kiran Hiremath IIT Jodhpur

Keywords: Maps, Linear Transformations

Lecture 2, week 2 : Nov. 27, 2020
Lecture Title: Eigen values and Eigen vectors
Name of speaker with affiliation : Dr. Kiran Hiremath IIT Jodhpur

Keywords: Eigen valuesand Eigenvectors, CayleyHamiltonTheorem

Lecture 3, week 2 : Nov. 28, 2020
Lecture Title: Linear Transformations
Name of speaker with affiliation : Dr. Sukhendu Ghosh IIT Jodhpur

Keywords: Differential equations,Linear Algebra

Lecture 4, week 2 : Nov. 28, 2020
Lecture Title: Use of Eigen values and Eigen vectors in Hydrodynamic stability Theory-Some Model Problems
Name of speaker with affiliation : Dr. Sukhendu Ghosh IIT Jodhpur

Keywords: Differential equations,Linear Algebra

Lecture 5, week 2 : Nov. 29, 2020
Lecture Title: From Linear Algebra to Google
Name of speaker with affiliation : Dr. Amit Kulshrestha IISER Mohali

Keywords: Graphs, Google page ranking

Lecture 1, week 3 : Dec. 3, 2020
Lecture Title: Canonical forms
Name of speaker with affiliation : Dr. Anupam Singh IISER Pune

Keywords: Linear operators, Matrices

Lecture 2, week 3 : Dec. 4, 2020
Lecture Title: Jordan Decomposition Theorem
Name of speaker with affiliation : Dr. Anupam Singh IISER Pune

Keywords: Nilpotent Matrices, Unipotent Matrices, Jordan Decomposition Theorem

Lecture 3, week 3 : Dec. 5, 2020
Lecture Title: Bilinear forms
Name of speaker with affiliation : Dr. Anupam Singh IISER Pune

Keywords: Bilinear forms, Classical groups and examples

Lecture 4, week 3 : Dec. 5, 2020
Lecture Title: Gram-smith orthogonalization Process
Name of speaker with affiliation : Dr. Anupam Singh IISER Pune

Keywords: Inner Product space, Gram- smith orthogonalization

Lecture 5, week 3 : Dec. 6, 2020
Lecture Title: Reisz Representation Theorem
Name of speaker with affiliation : Dr. Anupam Singh IISER Pune

Keywords:Self adjoint and normal operators

Lecture 1, week 4 : Dec. 10, 2020
Lecture Title: Applications of Linear Algebra
Name of speaker with affiliation : Dr. Gaurav Bhatnagar IIT Jodhpur

Keywords: Image Processing

Lecture 2, week 4 : Dec. 11, 2020
Lecture Title: Linear Algebra and Image Processing
Name of speaker with affiliation : Dr. Gaurav Bhatnagar IIT Jodhpur

Keywords: Singular value Decomposition

Lecture 3, week 4 : Dec. 12, 2020
Lecture Title: Linear Algebra and Image Processing- Why SVD?
Name of speaker with affiliation : Dr. Gaurav Bhatnagar IIT Jodhpur

Keywords: Importance of Singular values and vectors

Lecture 4, week 4 : Dec. 12, 2020
Lecture Title: Linear Algebra and Image Processing-Principal component Analysis
Name of speaker with affiliation : Dr. Gaurav Bhatnagar IIT Jodhpur

Keywords: Principal component Analysis

Lecture 5, week 4 : Dec. 13, 2020
Lecture Title: Applications of Linear Algebra-Chemistry,Graph Theory, Electric circuits, Traffic Flow,Security (Concluding Remarks to the TEW)
Name of speaker with affiliation : Dr. Gaurav Bhatnagar IIT Jodhpur

Keywords: Chemical reactions,Graphs, Electric circuits, Traffic Flow, Security