Sl.No. Lecture Date Lecture

Day Lecture Topic Reference Material

1 10-Jul-2014 THU Metric Definition, Examples 1- Lecture1.pdf2- Lecture1_Solutions.p...

2 11-Jul-2014 FRI Metric Spaces, Signal processing

1- Lecture2.pdf2- Lecture2_Solutions.p...

3 14-Jul-2014 MON Topological terms 1- Lecture3.pdf2- Lecture3_solutions.p...3- Lecture3_MATLAB_Solu...

4 15-Jul-2014 TUE Sequences 1- Lecture4.pdf2- Lecture4_solutions.p...3- Lecture4_Q1-2MATLAB_...

5 17-Jul-2014 THU Sequence of Signals 1- Lecture5.pdf2- Lecture5_solutions.p...

6 18-Jul-2014 FRI L_p metrics, Vector spaces introduction

1- Lecture6.pdf

7 21-Jul-2014 MON Linear Combinations 1- Lecture7.pdf8 22-Jul-2014 TUE Span, Linearly independent

vectors1- Lecture8.pdf

9 24-Jul-2014 THU norms , Examples 1- Lecture_9_problems.p...10 25-Jul-2014 FRI Inner product, examples 1- Lecture_10_problems....11 28-Jul-2014 MON induced norm, cauchyswartzs,

angle1- Lecture_11_problems....

12 31-Jul-2014 THU Pythagerous, orthogonal spaces, disjoint spaces

1- Lecture_12_problems....

13 01-Aug-2014 FRI Orthogonal projections, least squares solution, matrix examples

1- Lecture_13_problems....

14 04-Aug-2014 MON Projection operator, Projection matrix, projection on to one vector

15 05-Aug-2014 TUE Gramschnidt orthogonalization, QR decomposition

16 07-Aug-2014 THU Grammian matrix, Hilbert matrix

17 08-Aug-2014 FRI Linear variety, Dual approximations

18 11-Aug-2014 MON Minimum norm solution19 12-Aug-2014 TUE Signal representation

orthornormal basis20 14-Aug-2014 THU Legendre, Chebyshev

polynomials Fourier series21 18-Aug-2014 MON Sinc filter derivations

22 19-Aug-2014 TUE Linear operator, linear functional

23 21-Aug-2014 THU Operator norms, Adjoint operator

24 22-Aug-2014 FRI RevisionCAT-I : 23-Aug-2014 To 31-Aug-2014

25 01-Sep-2014 MON Geometry of linear Equations, planes

26 02-Sep-2014 TUE columns space, four fundamental spaces

27 04-Sep-2014 THU Rank, numerical rank, condition number

28 05-Sep-2014 FRI Rank update, matrix inversion lemma

1- Matrix-inversion-ide...

29 08-Sep-2014 MON LU decomposition30 09-Sep-2014 TUE Cholesky decomposition31 11-Sep-2014 THU QR decomposition32 12-Sep-2014 FRI least squares solutions QR33 15-Sep-2014 MON Examples Eigen values, Eigen

vectors34 16-Sep-2014 TUE Hermitian matrix, Eigen

decomposition35 18-Sep-2014 THU matrix diagonalization, powers

of A36 19-Sep-2014 FRI circulant matrix eigen values

and eigen vectors37 22-Sep-2014 MON Eigen basis, changing basis

vectors38 23-Sep-2014 TUE Spectrum decomposition,

rank-1 matrices, invariant spaces

39 25-Sep-2014 THU SVD introduction40 29-Sep-2014 MON41 30-Sep-2014 TUE42 03-Oct-2014 FRI

CAT-II : 04-Oct-2014 To 12-Oct-2014