profile-img
Vijay posted an Question
May 30, 2021 • 11:58 am 30 points
  • IIT JAM
  • Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment

2 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Abhishek tripathi 1 best-answer

    Linear algebra vector spaces and linear transformations, direct sum, matrices and systems of linear equations, characteristic roots and characteristic vectors, Cayley Hamilton theorem, diagonalization and triangular forms, quadratic forms Abstract algebra Groups: subgroups, products, cosets, Lagranges theorem, group homomorphism, normal subgroups and quotient groups, permutation groups, Sylow theorems. Rings and integral domains: subrings, ring homomorphism, ideals and quotient rings, prime and maximal ideals, products, Chinese remainder theorem, prime and irreducible elements, principal ideal domain, unique factorization domains. Polynomial rings: division algorithm, roots of polynomials. Fields: characteristic of a field, field extensions, finite fields. Calculus and real analysis Real numbers, limits, continuity, uniform continuity of functions, differentiability of functions of one or more variables and applications, convergence of sequences and series; indefinite integral, fundamental theorem of Calculus, Riemann integration, improper integrals, double and multiple integrals and applications, sequences and series of functions, uniform convergence, solutions of ordinary differential equations. Graph Theory Connectedness, trees, vertex coloring, planar graphs, Eulerian graphs, Hamiltonian graphs, digraphs and tournaments. 5 Combinatorics Counting principles, Ramsey theory, binomial coefficients, recurrence relations, divide-and-conquer recurrences, recurrences involving convolution and their use in counting, Fibonacci numbers, generating functions, solving recurrence relations using generating functions

  • Abhishek tripathi 1 Best Answer

    seee....

    cropped4873117351583396988.jpg
    cropped2910078954575250052.jpg
    cropped3246562796262322998.jpg
    cropped7831481030999208075.jpg
    cropped3254140962390604671.jpg
    eduncle-logo-app

    doubt

    eduncle-logo-app

    these topics are included but there is some server issue that's why all images are not uploaded

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers