I I T Rajasthan
MATHEMATICS -II (12001), AY 2011-12
Linear algebra and Ordinary differential euqatons
Course Instructor: V V M S Chandramouli
E-mail: chsarma@iitj.ac.in
Tel: +91-291-244 9040 (Office)
Where to go for help: 1105-A, Academic Block-I
Office Hours: Thursday 3:00PM – 5:00PM
Course Description: Course Information
Exams:
S. Quiz-1: 18 Jan
Mid Test-1 : 02 Feb (9:00AM)
S. Quiz-2: 8 Feb
A.Quiz-1: 23 Feb (12:40-1:20PM)
Mid Test-II: 19 Mar - 21 Mar'12
A.Quiz-2: 11 April 2012
End exam: 2:00PM - 5:00PM, 23 April 2012;
A. Quiz
: (Grading Scheme & Solutions)
Mid Test-2
: (Grading Scheme & Solutions)
Lecture Notes 1
: (Linear system of equations)
Lecture Notes 2
: (Introduction to Matrices)
Lecture Notes 3
: (Vector spaces, sub spaces and Linear combinations)
Lecture Notes 4
: (Linear span, Linearly dependent and independent sets and basis)
Lecture Notes 5
: (Resuls on LI set, spanning of vector space, Bases)
Lecture Notes 6
: (Row space, Column space and Null space of a matrix)
Lecture Notes 7
: (Linear Trnasformations)
Lecture Notes 8
: (Isomorphisms and Representation by Matrix)
Lecture Notes 9
: (Representation of L.T by Matrix - Examples)
Lecture Notes 10
: (Inner product spaces - examples - Schwarz inequality)
Lecture Notes 11
: (Orthonormal, complete orthonormal set and Gram-Schmidt orthogonalization process)
Lecture Notes 12
: (Eigen values, Eigen vectors and Diagonolization)
Lecture Notes 13
: (System of ODE and Variation of parameter method)
Lecture Notes 14
: (Series solution method)
Lecture Notes 15
: (Legendre's and Bessel's Diff Eqn)
Lecture Notes 16
: (Sturm Liouville Problem & Orthogonal Functions)