Explore a comprehensive mathematics course covering advanced topics such as closed sets, Hermitian and symmetric matrices, calculus of variations, integral equations, cluster analysis, min-cost flow problems, and basic probability. Delve into discriminant analysis, classification, singular value decomposition, and limit theorems for functions. Learn about normal convergence at infinity, Hurwitz's theorems, and interesting probability problems. Study lexicographic methods for starting feasible solutions and examine proofs related to Marty's Theorem for meromorphic functions.
Overview
Syllabus
Closed Sets (CH_30).
Hermitian and Symmetric matrices Part 3(CH_30).
Calculus of variations and intehral equations(Ch_30).
Cluster Analysis (CH_30).
Min-cost flow problem (CH_30).
Basic nudging methods (CH_30).
Hermitian and Symmetric matrices Part 4 (CH_30).
Basic Probability (CH_30).
S30 0545 Discriminant Analysis and Classification (CH_30).
Starting feasible solution, Lexicographic method (CH_30).
Some results on limit of functions (CH_30).
Normal Convergence at Infinity and Hurwitz\'s Theorems for Normal Limits (CH_30).
Singular Value Decomposition (SVD) Part 1 (CH_30).
Interesting Problems In Probability(CH_30).
Discriminant Analysis and Classification (CH_30).
Limit Theorems for functions (CH_30).
Proof of the other direction of Marty\'s Theorem - the Meromorphic(CH_30).
Taught by
Ch 30 NIOS: Gyanamrit
