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