Subject - M.Sc. Mathematics by Dr. B. Surendranath Reddy
Developed By: Dr. B. Surendranath Reddy, Assistant Professor, School of Mathematical Sciences, SRTM University, Nanded
Subject- Real Analysis, M.Sc. Mathematics, Sem-I
Sr. No. Topics covered Platform used and content link (Microsoft teams and OBS Studio)
1 Least Upper Bound https://youtu.be/tUaNWfCG6jc
2 Archimedian Property https://youtu.be/Ta0D7hWaDwk
3 Countable Sets https://youtu.be/nHMllUk2GTs
4 Sequence in R https://youtu.be/q9laEXB09ek
5 Nested Interval Theorem & Limsup https://youtu.be/oS4GnAjqeB8
6 Metrics and Norms https://youtu.be/ERkjC3ycpmc
7 Open and Closed Sets https://youtu.be/iNiT6L5rqDQ
8 Interior & Closure of a set https://youtu.be/Hv26w4vtLOA
9 Continuous Functions https://youtu.be/CzU9tjmL1Lk
10 Connected Metric space https://youtu.be/VbDUnRun8MU
11 Totally bounded space https://youtu.be/46HVqx4VIlc
12 Complete Metric Space https://youtu.be/AIIxZO6p2sg
13 Completion of a metric space https://youtu.be/3clg_zevQfI
Developed By: Dr. B. Surendranath Reddy, Assistant Professor, School of Mathematical Sciences, SRTM University, Nanded
Subject- Lattice Theory, M.Sc. Mathematics, Sem-III
 1 Posets with several examples https://youtu.be/cTPT_DxPYBA
 2 Chains and Antichains https://youtu.be/sSZFXg7F6SM
 3 Lattice as a poset https://youtu.be/X3eiz2RksRk
 4 Lattice as an algebra https://youtu.be/veSVbINmr50
 5 Equivalence of two lattice definitions https://youtu.be/LjiOxBdr31Y
 6 Diagram of a poset/lattice https://youtu.be/eKQr40cHAns
 7 Ideals in lattices https://youtu.be/y5lFqREl6NQ
 8 Relation between Ideals and Homomorphism https://youtu.be/NOPVYLH0lVc
 9 Congruence relation https://youtu.be/3Tn0_CQ4hBk
 10 Congruence lattice https://youtu.be/uei8hitjoM8
 11 Quotient Lattice https://youtu.be/vQl-UBfSP7c
 12 Product of Lattices https://youtu.be/OaoXu6KxL1Q
 13 Polynomials in Lattice https://youtu.be/eJqLfoQheBo
 14 Identities in lattices https://youtu.be/MGMzl4L3v3I
 15 Distributive and Modular lattices https://youtu.be/IcYToM4wrEg
 16 Examples of Distributive and Modular lattices https://youtu.be/UUzHM3GoOho
 17 Complemented Lattice https://youtu.be/jV70-I83cRE
 18 Pseudo complemented Lattice https://youtu.be/ckzWo4yA_jc
 19 Modular Lattice Characterization https://youtu.be/9zFLtTFyLzk
 20 Distributive Lattice Characterization https://youtu.be/7WynHIdVVv8
 21 Distributive Lattice Characterization (Continued…) https://youtu.be/LLcAAkraQLY
 22 Birkhoff's Characterization of Distributive Lattices https://youtu.be/Ly1rxS566wY
 23 Properties of Distributive Lattices https://youtu.be/ICuX6egwZ4g
 24 Properties of Distributive lattices (Continued….) https://youtu.be/cSE2PnIn2Ek
 25 Finite Distributive Lattice https://youtu.be/ZG6d3AuFrY8
 26 Distributive lattices and Ring of Sets https://youtu.be/pAyNJPE7o88
 27 Stones Separation Theorem https://youtu.be/KteI3tGTlpE
 28 Nachbin Theorem https://youtu.be/L-Qp6X-I6LQ
 29 Modular Lattice https://youtu.be/xKf49NCJEmw
 30 Kuros Ore Theorem and Independent Sets https://youtu.be/1Lw5nr0LX74
 31 Semi modular lattices Jordan-Holder chain condition https://youtu.be/kKR2S5CS4ls
 32 Characterization of semi modular lattices https://youtu.be/5S6TAc4PLOw

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