D. P. PATIL
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 Instructor: Prof. D. P. Patil Back to top |
Algebra, Arithmetic and Geometry
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| L01 | Thu/Sept 01, 2005 | Natural Numbers |
| L02 | Tue/Sept 06, 2005 | The Fundamental Theorem of Arithmetic |
| L03 | Thu/Sept 08, 2005 | Monoids --- Divisibility |
| L04 | Tue/Sept 13, 2005 | Factorial Monoids |
| L05 | Thu/Sept 15, 2005 | Properties of p-exponents --- p-adic valuation |
| L06 | Tue/Sept 20, 2005 | Division Algorithm and GCD |
| L07 | Thu/Sept 22, 2005 | Factoriality and GCD |
| L08 | Tue/Sept 27, 2005 | Number-theoretic functions |
| L09 | Thu/Sept 29, 2005 | Sylvester's sieve Formula and its applications |
| L10 | Tue/Oct 04, 2005 | Homomorphisms and Isomorphisms of Monoids |
| L11 | Thu/Oct 06, 2005 | Categories, Examples |
| L12 | Tue/Oct 11, 2005 | Rings and Homomorphisms, Examples |
| L13 | Thu/Oct 13, 2005 | Unit Group of a Ring, Integral Domains and Fields |
| L14 | Tue/Oct 18, 2005 | Ideals |
| L15 | Thu/Oct 20, 2005 | Quotient rings |
| L16 | Tue/Oct 25, 2005 | Prime rings --- Euler's theorem, Fermat's Little theorem |
| L17 | Thu/Oct 27, 2005 | Modules and Algebras |
| L18 | Mon/Oct 31, 2005 | Monoid rings --- Polynomial Rings |
| L19 | Thu/Nov 03, 2005 | Polynomial Rings --- Universal property, substitution homomorphisms |
| L20 | Tue/Nov 08, 2005 | Modules |
| L21 | Thu/Nov 10, 2005 | Free Modules |
| L22 | Tue/Nov 15, 2005 | Generating Systems for Modules |
| L23 | Thu/Nov 17, 2005 | Cardinality of Infinite Sets |
| L24 | Tue/Nov 22, 2005 | Degree of a Polynomial |
| L25 | Thu/Nov 24, 2005 | Bases for Vector Spaces |
| L26 | Tue/Nov 29, 2005 | Division Algorithm for Polynomials |
| L27 | Thu/Dec 01, 2005 | Dimension of Vector Spaces |
| L28 | Tue/Dec 06, 2005 | Yet to come |