Course plan: We will be learning Linear algebra and basics of Group theory covering material in chapters 3 to 8 of Artin, Algebra, second edition.
Assignments, additional related material will be posted on this page.
Course grading policy details and dates: see here
11th August : Lecture 1 Introduction, Subspaces of R^n
12th August : Lecture 2 fields, Vector spaces, span, linear independence (Assignment 1 based on material in Lectures 1 to 2)
solutions of selected problems from Assignment 1
15th August : Independence Day
Assignment 1 submission due on 18th Aug (Monday) 10:00 AM 📜
19th August : Lecture 3 independence, basis, dimension, covered till section 3.4 in Chapter 3 of Artin's book (Assignment 2 based on material in Lectures 3 to 4)
22th August : Lecture 4 change of basis, direct sum, infinite dimensional vector spaces
Assignment 2 submission due on 25th Aug (Monday) 10:00 AM AM📜
No assignment submission this week.
Solutions of selected problems in Assignment 2
29th August : Lecture 6 Matrix of linear transformation, Change of bases
1st September : Quiz 1 Tutorial 3 session Quiz 1
2nd September : Lecture 7 Linear operators, Matrix of linear operators wrt bases, Invariant subspaces (assignment 3 will be given based on material in Lectures 5 to 7)
Assignment 3 Solutions of selected problems
Assignment 3 submission deadline: 8th Sept (Monday) 10:00 AM📜
9th September : Lecture 8 Products and quotients of vector spaces, Eigenvectors
(assignment 4 will be given based on material in Lectures 8 to 9) Assignment 4
10th September : Lecture 9 Eigenvectors, Eigenvalues, Polynomials over a field, characteristic polynomial
Assignment 4 submission deadline: 15th Sept (Monday) 10:00 AM 📜
15th September : Tutorial 5
16th September : Lecture 10 (assignment 5 will be given based on material in Lectures 10 to 11)
19th September : Lecture 11
Assignment 5 submission deadline: 22nd Sept (Monday) 10:00 AM 📜
22nd September : Tutorial 6
23rd September : Lecture 12 (assignment 6 will be given based on material in Lectures 13 to 14)
26th September : Lecture 13
Assignment 6 submission deadline: 27th Sept (Monday) 10:00 AM📜
29th September : Tutorial 7
30th September : Lecture 14 (a problem set will be given based on material but no assignment submission this week)
Mid - semester 6 to 10 October
13th October : Lecture 16/Tutorial session
14th October : Lecture 17 (assignment 7 will be given based on material in Lectures 17 to 18)
17th October : Lecture 18
20th October-Deepawali-Holiday 🎉
Assignment 7 submission deadline: 21st Oct (Monday) 10:00 AM📜
21st October : first half Tutorial and 2nd half Lecture 19
24th October : Lecture 20
28th October : Lecture 21
31st October : Lecture 22
Assignment 8 submission deadline: 3rd Nov (Monday) 10:00 AM📜
4th November : Lecture 23
7th November : Lecture 24
Assignment 9 submission deadline: 10th Nov (Monday) 10:00 AM 📜
11th November : Lecture 25
14th November : Lecture 26
Assignment 10 submission deadline: 17th Nov (Monday) 10:00 AM 📜
18th November : Lecture 27
21st November : Lecture 28/ Tutorial
Final exam in December 1- 5