Teacher's Enrichment Workshops
359-TEW on "Algebra & Multivariate Calculus Mathematics "
Dates: 08 January 2021 to 14 February 2021
Venue: Dr. Harisingh Gour Vishwavidyalaya, Sagar, MP
Organizers
Dr. Punam Gupta Dr. Sanjay Kumar Singh
Venue: Dr. Harisingh Gour Vishwavidyalaya, Sagar, MP
Organizers
Dr. Punam Gupta Dr. Sanjay Kumar Singh
Inauguration. : 8 Jan 2021.
Hosted by Dr. Punam Gupta, Dr. HarisinghGour University
VL 1 : 8 Jan 2021
Lecture Title: Ring and Modules- 1
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Laws of composition, families of finite support
VL 2 : 9 Jan 2021
Lecture Title: Ring and Modules- 2
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Modules, submodules, 1Exact sequences, direct sum
VL 3 : 10 Jan 2021
Lecture Title: Ring and Modules- 3
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Length of modules, Composition series , Jordan Holder series, Free Module
VL 4: 15 Jan 2021
Lecture Title: Fields and vector Space
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Zorn's lemma, Linearly independent vectors, basis of free modules
VL 5: 16 Jan 2021
Lecture Title: Modules over Integral rings
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Field of fraction of integral ring, divisibility, Matrices over principal rings
VL 6: 17 Jan 2021
Lecture Title: Finitely generated module over principal rings
Name of speaker with affiliation: Prof. C.S. Dalawat, HRI Prayagraj
Lecture Slides: Click here
Keywords: Cyclic modules, Jordan matrices
VL 1: 22 Jan 2021
Lecture Title: Groups and Maps
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Symmetry, Groups, permutation group, cyclic group, homomorphism
VL 2: 23 Jan 2021
Lecture Title: Normal subgroup and Isomorphism theorems
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Partition of set, Equivalence relation, Normal subgroup, Isomorphism theorem
VL 3: 24 Jan 2021
Lecture Title: 15 Puzzle problem
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Permutation group, 15 Puzzle problem
VL 1: 29 Jan, 2021
Lecture Title: Metric spaces on Rn
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Metric space, norm linear space
VL 2: 30 Jan, 2021
Lecture Title: Metric spaces on Rn
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Metric space, norm linear space
VL 3: 31 Jan, 2021
Lecture Title: Metric spaces on Rn
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Metric space, norm linear space
VL 4: 5 Feb 2021
Lecture Title: Platonic solids and isometry in Rn
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Polyhedron, Platonic solids, Isometry
VL 5: 6 Feb 2021
Lecture Title: Symmetry group and the dihedral group
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Symmetry group, dihedral group
VL 6: 7 Feb 2021
Lecture Title: Group action and applications
Name of speaker with affiliation: Dr. Sanjay Kumar Singh, IISER Bhopal
Lecture Slides: Click here
Keywords: Group action, class equation, Sylow's theorem
VL 4: 12 Feb 2021
Lecture Title: Mean value theorem and its applications
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Taylor's theorem, mixed derivative
VL 5: 13 Feb 2021
Lecture Title: Two important theorems
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Inverse and Implicit function theorem
VL 6: 14 Feb 2021
Lecture Title: Extremum Values & the method of Lagrange multipliers
Name of speaker with affiliation: Dr. Siddhartha Sarkar, IISER Bhopal
Lecture Slides: Click here
Keywords: Stationary point, Euler’s Theorem