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2 | SIR C R REDDY (A) COLLEGE, ELURU | |||||||||||||||||||||||||
3 | Curricular Plan for the Academic Year :: 2020-21 | |||||||||||||||||||||||||
4 | Name of the Faculty Member | Mrs K. Sailaja | Name of the Department | PG Department of Mathematics | ||||||||||||||||||||||
5 | ||||||||||||||||||||||||||
6 | Program | M.Sc Mathematics | Group: | |||||||||||||||||||||||
7 | Title of the Course | Functional Analysis | Course Code: | M301 | ||||||||||||||||||||||
8 | Year | II | Semester | III | Hrs allotted: | 90 | ||||||||||||||||||||
9 | Section | Hours/Week | 6 | |||||||||||||||||||||||
10 | ||||||||||||||||||||||||||
11 | Unit No. & Name | Hour | Day | Date | Topic to be Covered | Methodology | Remarks | |||||||||||||||||||
12 | Adopted | |||||||||||||||||||||||||
13 | UNIT I : Banach spaces: | 1 | MON | 16-11-2020 | definition and some examples | Lecture Method | ||||||||||||||||||||
14 | 2 | TUE | 17-11-2020 | Some Simple Results on Definitions | Lecture Method | |||||||||||||||||||||
15 | 3 | WED | 18-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
16 | 4 | THU | 19-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
17 | 5 | FRI | 20-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
18 | 6 | SAT | 21-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
19 | 7 | MON | 23-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
20 | 8 | TUE | 24-11-2020 | continuous linear transformation | Lecture Method | |||||||||||||||||||||
21 | 9 | WED | 25-11-2020 | Hahn Banach Theorem | Lecture Method | |||||||||||||||||||||
22 | 10 | THU | 26-11-2020 | Hahn Banach Theorem | Lecture Method | |||||||||||||||||||||
23 | 11 | FRI | 27-11-2020 | Hahn Banach Theorem | Lecture Method | |||||||||||||||||||||
24 | 12 | SAT | 28-11-2020 | Hahn Banach Theorem | Lecture Method | |||||||||||||||||||||
25 | 13 | MON | 30-11-2020 | Hahn Banach Theorem | Lecture Method | |||||||||||||||||||||
26 | 14 | TUE | 1/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
27 | 15 | WED | 2/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
28 | 16 | THU | 3/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
29 | 17 | FRI | 4/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
30 | 18 | SAT | 5/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
31 | 19 | MON | 7/12/2020 | the natural imbedding of N in N**, | Lecture Method | |||||||||||||||||||||
32 | 20 | TUE | 8/12/2020 | The open mapping theorem | Lecture Method | |||||||||||||||||||||
33 | 21 | WED | 9/12/2020 | The open mapping theorem | Lecture Method | |||||||||||||||||||||
34 | 22 | THU | 10/12/2020 | The open mapping theorem | Lecture Method | |||||||||||||||||||||
35 | 23 | FRI | 11/12/2020 | The open mapping theorem | Lecture Method | |||||||||||||||||||||
36 | 24 | SAT | 12/12/2020 | The open mapping theorem | Lecture Method | |||||||||||||||||||||
37 | UNIT II : Hilbert spaces: | 25 | MON | 14/12/2020 | The conjugate of an operator | Lecture Method | ||||||||||||||||||||
38 | 26 | TUE | 15/12/2020 | The conjugate of an operator | Lecture Method | |||||||||||||||||||||
39 | 27 | WED | 16/12/2020 | The conjugate of an operator | Lecture Method | |||||||||||||||||||||
40 | 28 | THU | 17/12/2020 | The conjugate of an operator | Lecture Method | |||||||||||||||||||||
41 | 29 | FRI | 18/12/2020 | The conjugate of an operator | Lecture Method | |||||||||||||||||||||
42 | 30 | SAT | 19/12/2020 | The definition and some simple properties on Hilbert Spaces | Lecture Method | |||||||||||||||||||||
43 | 31 | MON | 21/12/2020 | Some Results On Hilbert Spaces | Lecture Method | |||||||||||||||||||||
44 | 32 | TUE | 22/12/2020 | Some Results On Hilbert Spaces | Lecture Method | |||||||||||||||||||||
45 | 33 | WED | 23/12/2020 | Theorms on Hilbert Spaces | Lecture Method | |||||||||||||||||||||
46 | 34 | THU | 24/12/2020 | Theorms on Hilbert Spaces | Lecture Method | |||||||||||||||||||||
47 | 35 | SAT | 26/12/2020 | Theorms on Hilbert Spaces | Lecture Method | |||||||||||||||||||||
48 | 36 | MON | 28/12/2020 | orthogonal complements | Lecture Method | |||||||||||||||||||||
49 | 37 | TUE | 29/12/2020 | orthogonal complements | Lecture Method | |||||||||||||||||||||
50 | 38 | WED | 30/12/2020 | orthogonal complements | Lecture Method | |||||||||||||||||||||
51 | 39 | THU | 31/12/2020 | orthogonal complements | Lecture Method | |||||||||||||||||||||
52 | 40 | FRI | 1/1/2021 | orthogonal complements | Lecture Method | |||||||||||||||||||||
53 | 41 | SAT | 2/1/2021 | orthogonal complements | Lecture Method | |||||||||||||||||||||
54 | 42 | MON | 4/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
55 | 43 | TUE | 5/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
56 | 44 | WED | 6/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
57 | 45 | THU | 7/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
58 | 46 | FRI | 8/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
59 | 47 | SAT | 9/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
60 | 48 | MON | 11/1/2021 | orthonormal sets | Lecture Method | |||||||||||||||||||||
61 | UNIT III : Hilbert Spaces Continution | 49 | TUE | 12/1/2021 | The Conjugate space H* | Lecture Method | ||||||||||||||||||||
62 | 50 | SAT | 16/1/2021 | The Conjugate space H* | Lecture Method | |||||||||||||||||||||
63 | 51 | MON | 18/1/2021 | The Conjugate space H* | Lecture Method | |||||||||||||||||||||
64 | 52 | TUE | 19/1/2021 | The Conjugate space H* | Lecture Method | |||||||||||||||||||||
65 | 53 | WED | 20/1/2021 | The Conjugate space H* | Lecture Method | |||||||||||||||||||||
66 | 54 | THU | 21/1/2021 | the ad joint of an operator | Lecture Method | |||||||||||||||||||||
67 | 55 | FRI | 22/1/2021 | the ad joint of an operator | Lecture Method | |||||||||||||||||||||
68 | 56 | SAT | 23/1/2021 | the ad joint of an operator | Lecture Method | |||||||||||||||||||||
69 | 57 | MON | 25/1/2021 | the ad joint of an operator | Lecture Method | |||||||||||||||||||||
70 | 58 | TUE | 27/1/2021 | the ad joint of an operator | Lecture Method | |||||||||||||||||||||
71 | 59 | WED | 28/1/2021 | Self- ad joint operators | Lecture Method | |||||||||||||||||||||
72 | 60 | THU | 29/1/2021 | Self- ad joint operators | Lecture Method | |||||||||||||||||||||
73 | 61 | FRI | 30/1/2021 | Self- ad joint operators | Lecture Method | |||||||||||||||||||||
74 | 62 | SAT | 31/1/2021 | Normal And Unitary Operators | Lecture Method | |||||||||||||||||||||
75 | 63 | MON | 1/2/2021 | Normal And Unitary Operators | Lecture Method | |||||||||||||||||||||
76 | 64 | TUE | 2/2/2021 | Normal And Unitary Operators | Lecture Method | |||||||||||||||||||||
77 | 65 | WED | 3/2/2021 | Normal And Unitary Operators | Lecture Method | |||||||||||||||||||||
78 | 66 | THU | 4/2/2021 | Normal And Unitary Operators | Lecture Method | |||||||||||||||||||||
79 | 67 | FRI | 5/2/2021 | Projections | Lecture Method | |||||||||||||||||||||
80 | 68 | SAT | 6/2/2021 | Projections | Lecture Method | |||||||||||||||||||||
81 | 69 | MON | 8/2/2021 | Projections | Lecture Method | |||||||||||||||||||||
82 | 70 | TUE | 9/2/2021 | Projections | Lecture Method | |||||||||||||||||||||
83 | UNIT IV : Finite Dimensional Spectral Theory | 71 | WED | 10/2/2021 | Matrices | Lecture Method | ||||||||||||||||||||
84 | 72 | THU | 11/2/2021 | Matrices | Lecture Method | |||||||||||||||||||||
85 | 73 | FRI | 12/2/2021 | Matrices | Lecture Method | |||||||||||||||||||||
86 | 74 | SAT | 13/2/2021 | Matrices | Lecture Method | |||||||||||||||||||||
87 | 75 | MON | 15/2/2021 | Matrices | Lecture Method | |||||||||||||||||||||
88 | 76 | TUE | 16/2/2021 | Matrices | Lecture Method | |||||||||||||||||||||
89 | 77 | WED | 17/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
90 | 78 | THU | 18/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
91 | 79 | FRI | 19/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
92 | 80 | SAT | 20/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
93 | 81 | MON | 22/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
94 | 82 | TUE | 23/2/2021 | Determinants and the spectrum of an operator | Lecture Method | |||||||||||||||||||||
95 | 83 | WED | 24/2/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||
96 | 84 | THU | 25/2/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||
97 | 85 | FRI | 26/2/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||
98 | 86 | SAT | 27/2/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||
99 | 87 | MON | 1/3/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||
100 | 88 | TUE | 2/3/2021 | The spectral theorem, | Lecture Method | |||||||||||||||||||||