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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 Dept of Mathematics | ||||||||||||||||||||||
5 | ||||||||||||||||||||||||||
6 | Program | M.Sc Mathematics | Group: | |||||||||||||||||||||||
7 | Title of the Course | Measure Theory | Course Code: | M401 | ||||||||||||||||||||||
8 | Year | II | Semester | IV | 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: Measure and Integration | 1 | TUE | 4/6/2021 | Convergence and Completeness | Lecture Method | ||||||||||||||||||||
14 | 2 | WED | 4/7/2021 | Convergence and Completeness | Lecture Method | |||||||||||||||||||||
15 | 3 | THU | 4/8/2021 | Convergence and Completeness | Lecture Method | |||||||||||||||||||||
16 | 4 | FRI | 3/9/2021 | Convergence and Completeness | Lecture Method | |||||||||||||||||||||
17 | 5 | MON | 4/12/2021 | Convergence and Completeness | Lecture Method | |||||||||||||||||||||
18 | 6 | THU | 15/4/2021 | Measure spaces | Lecture Method | |||||||||||||||||||||
19 | 7 | FRI | 16/4/2021 | Measure spaces | Lecture Method | |||||||||||||||||||||
20 | 8 | SAT | 17/4/2021 | Measure spaces | Lecture Method | |||||||||||||||||||||
21 | 9 | MON | 19/4/2021 | Measure spaces | Lecture Method | |||||||||||||||||||||
22 | 10 | TUE | 20/4/2021 | Measurable functions | Lecture Method | |||||||||||||||||||||
23 | 11 | THU | 22/4/2021 | Measurable functions | Lecture Method | |||||||||||||||||||||
24 | 12 | FRI | 23/4/2021 | Measurable functions | Lecture Method | |||||||||||||||||||||
25 | 13 | SAT | 24/4/2021 | Measurable functions | Lecture Method | |||||||||||||||||||||
26 | 14 | MON | 26/4/2021 | Integration | Lecture Method | |||||||||||||||||||||
27 | 15 | TUE | 27/4/2021 | Integration | Lecture Method | |||||||||||||||||||||
28 | 16 | WED | 28/4/2021 | Integration | Lecture Method | |||||||||||||||||||||
29 | 17 | THU | 29/4/2021 | General convergence Theorems | Lecture Method | |||||||||||||||||||||
30 | 18 | FRI | 30/4/2021 | General convergence Theorems | Lecture Method | |||||||||||||||||||||
31 | 19 | SAT | 5/1/2021 | General convergence Theorems | Lecture Method | |||||||||||||||||||||
32 | 20 | MON | 5/3/2021 | General convergence Theorems | Lecture Method | |||||||||||||||||||||
33 | 21 | TUE | 5/4/2021 | General convergence Theorems | Lecture Method | |||||||||||||||||||||
34 | UNIT- II: Measure and Interation Continued | 22 | WED | 5/5/2021 | Signed Measures | Lecture Method | ||||||||||||||||||||
35 | 23 | THU | 5/6/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
36 | 24 | FRI | 5/7/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
37 | 25 | MON | 24/5/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
38 | 26 | TUE | 25/5/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
39 | 27 | WED | 26/5/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
40 | 28 | THU | 27/5/2021 | Signed Measures | Lecture Method | |||||||||||||||||||||
41 | 29 | FRI | 28/5/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
42 | 30 | SAT | 29/5/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
43 | 31 | MON | 31/5/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
44 | 32 | TUE | 6/1/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
45 | 33 | WED | 6/2/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
46 | 34 | THU | 6/3/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
47 | 35 | FRI | 6/4/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
48 | 36 | SAT | 6/5/2021 | The Raydon-Nikodym Theorem | Lecture Method | |||||||||||||||||||||
49 | 37 | MON | 6/7/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
50 | 38 | TUE | 6/8/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
51 | 39 | WED | 6/9/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
52 | 40 | THU | 6/10/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
53 | 41 | FRI | 6/11/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
54 | 42 | MON | 14/6/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
55 | 43 | TUE | 15/6/2021 | the Lp spaces | Lecture Method | |||||||||||||||||||||
56 | UNIT- III: Measure and Outer Measure | 44 | WED | 16/6/2021 | Outer Measure and Measurability | Lecture Method | ||||||||||||||||||||
57 | 45 | THU | 17/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
58 | 46 | FRI | 18/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
59 | 47 | SAT | 19/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
60 | 48 | MON | 21/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
61 | 49 | TUE | 22/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
62 | 50 | WED | 23/6/2021 | Outer Measure and Measurability | Lecture Method | |||||||||||||||||||||
63 | 51 | THU | 24/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
64 | 52 | FRI | 25/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
65 | 53 | SAT | 26/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
66 | 54 | MON | 28/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
67 | 55 | TUE | 29/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
68 | 56 | WED | 30/6/2021 | The Extension theorem | Lecture Method | |||||||||||||||||||||
69 | 57 | THU | 7/1/2021 | The Lebesgue - Stieltjes integral | Lecture Method | |||||||||||||||||||||
70 | 58 | FRI | 7/2/2021 | The Lebesgue - Stieltjes integral | Lecture Method | |||||||||||||||||||||
71 | 59 | SAT | 7/3/2021 | The Lebesgue - Stieltjes integral | Lecture Method | |||||||||||||||||||||
72 | 60 | MON | 7/5/2021 | The Lebesgue - Stieltjes integral | Lecture Method | |||||||||||||||||||||
73 | 61 | TUE | 7/6/2021 | Product measures | Lecture Method | |||||||||||||||||||||
74 | 62 | WED | 7/7/2021 | Product measures | Lecture Method | |||||||||||||||||||||
75 | 63 | THU | 7/8/2021 | Product measures | Lecture Method | |||||||||||||||||||||
76 | 64 | FRI | 7/9/2021 | Product measures | Lecture Method | |||||||||||||||||||||
77 | UNIT- IV: Measure and Outer Measure Continuious | 65 | MON | 7/12/2021 | Integral Operators | Lecture Method | ||||||||||||||||||||
78 | 66 | TUE | 13/7/2021 | Integral Operators | Lecture Method | |||||||||||||||||||||
79 | 67 | WED | 14/7/2021 | Integral Operators | Lecture Method | |||||||||||||||||||||
80 | 68 | THU | 15/7/2021 | Integral Operators | Lecture Method | |||||||||||||||||||||
81 | 69 | FRI | 16/7/2021 | Integral Operators | Lecture Method | |||||||||||||||||||||
82 | 70 | SAT | 17/7/2021 | Integral Operators | Lecture Method | |||||||||||||||||||||
83 | 71 | MON | 19/7/2021 | Inner Measure | Lecture Method | |||||||||||||||||||||
84 | 72 | TUE | 20/7/2021 | Inner Measure | Lecture Method | |||||||||||||||||||||
85 | 73 | WED | 21/7/2021 | Inner Measure | Lecture Method | |||||||||||||||||||||
86 | 74 | THU | 22/7/2021 | Inner Measure | Lecture Method | |||||||||||||||||||||
87 | 75 | FRI | 23/7/2021 | Inner Measure | Lecture Method | |||||||||||||||||||||
88 | 76 | SAT | 24/7/2021 | Extension by sets of measure zero | Lecture Method | |||||||||||||||||||||
89 | 77 | MON | 26/7/2021 | Extension by sets of measure zero | Lecture Method | |||||||||||||||||||||
90 | 78 | TUE | 27/7/2021 | Extension by sets of measure zero | Lecture Method | |||||||||||||||||||||
91 | 79 | WED | 28/7/2021 | Extension by sets of measure zero | Lecture Method | |||||||||||||||||||||
92 | 80 | THU | 29/7/2021 | Extension by sets of measure zero | Lecture Method | |||||||||||||||||||||
93 | 81 | FRI | 30/7/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
94 | 82 | SAT | 31/7/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
95 | 83 | MON | 8/2/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
96 | 84 | TUE | 8/3/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
97 | 85 | WED | 8/4/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
98 | 86 | THU | 8/5/2021 | caratheodory outermeasure | Lecture Method | |||||||||||||||||||||
99 | 87 | FRI | 8/6/2021 | Hausdroff Measure | Lecture Method | |||||||||||||||||||||
100 | 88 | SAT | 8/7/2021 | Hausdroff Measure | Lecture Method | |||||||||||||||||||||