M205: Linear Algebra
Syllabus:
• System of Linear equations
• Matrices and elementary row operations, Reduced echolen form of matrices
• Vector spaces, Subspaces, Quotient spaces
• Bases and dimension
• Direct sums
• Linear transformations and their matrix representations
• Dual vector spaces, Transpose of a linear transformation
• Polynomial rings over a field
• Determinant and their properties
• Eigenvalues and eigenvectors
• Characterstic polynomial and minimal polynomial
• Triangulation and diagonalization
• Direct sum decompositions
• Primary decomposition theorem
References:
• Linear Algebra: K. Hoffman and R. Kunze, Prentice Hall India
• Finite dimensional Vector spaces: Halmos, Springer
• Introduction to Linear Algebra, S. Lang, Springre
• Algebra: M. Artin, Prentice Hall India
• Topics in Algebra, I. N. Herstein, Wiley India
Lectures:
• Monday [T] (9.30--10.30)
• Tuesday (10.30--11.30)
• Wednesday (11.30--12.30)
• Thursday (13.30--14.30)
Assignment:
• Assignment 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5
• Assignment 6
Quiz:
• Quiz 1
• Quiz 2
• Quiz 3
Examination:
• Mid- Semester
• End- Semester
Evaluation Procedure for Grading:
There will be three quizzes carrying 10 marks each,  a mid-semester examination of 30 marks and one final end-Semester exam of 40 marks (Total 100). The final grading will be done based on the performance in the quizzes, mid-semester and end-semester examination.  Suppose the total marks obtained by a  student is x out of 100.  Then the grading will be as follows:
• 0<=x< 30---FR
• 30<=x<40---DD
• 40<=x<50---CD
• 50<=x<60---CC
• 60<=x<70---BC
• 70<=x<80---BB
• 80<=x<90---AB
• 90<=x<=100---AA
Keys to Success:
Attend all the lectures and tutorials,  Do the homeworks, ask questions. Talk to me if you have any problem.

 Good Luck...