IIT MSc Mathematics

After 12th in PCM I want to take admission in Joint M.Sc. - Ph.D. Programs in Mathematics at IIT (Indian Institute of Technology) in India and for that I want to apply for Joint Admission Test for Masters (JAM) so please tell me the last date to apply?

Hello sir, from IIT Roorkee Im doing M.Sc in mathematics. I want syllabus of M.Sc in mathematics. Is there any one can give me IIT MSc Mathematics?

[pooja]

The IIT Roorkee has a mathematics department. The department offers a two-year M.Sc. Mathematics programme which in addition to the usual course work also involves pursuing an optional one-year research project during the second year.

The program allows you to choose from a variety of elective courses together with the compulsory ones.

Performance of students each semester is continuously assessed through regular quizzes, class tests, and mid- and end-semester examinations.

Depending on the area of mathematics that interests you most, you can choose your supervisor for your optional research project.

Here Im attaching PDF for IIT MSc Mathematics syllabus:

IIT MSc Mathematics Syllabus:

Sem. I
A
Advanced Abstract Algebra
Unit I
Direct product of groups (External and Internal). Isomorphism theorems - Diamond isomorphism theorem, Butterfly Lemma, Conjugate classes, Sylows theorem, p-sylow theorem.
Commutators, Derived subgroups, Normal series and Solvable groups, Composition series, Refinement theorem and Jordan-Holder theorem for infinite groups.
Polynomial rings, Euclidean rings. Modules, Sub-modules, Quotient modules, Direct sums and Module Homomorphisms. Generation of modules, Cyclic modules.
Field theory - Extension fields, Algebraic and Transcendental extensions, Separable and inseparable extensions, Normal extensions. Splitting fields. Galois theory - the elements of Galois theory, Fundamental theorem of Galois theory
Galois theory - the elements of Galois theory, Fundamental theorem of Galois theory, Solvalibility by radicals.

Sem. I
B
Real Analysis
Algebra and algebras of sets, Algebras generated by a class of subsets, Borel sets, Lebesgue measure of sets of real numbers, Measurability and Measure of a set, Existence of Non-measurable sets, Measurable functions. Realization of nonnegative measurable function as limit of an increasing sequence of simple functions.
Realization of non-negative measurable function as limit of an increasing sequence of simple functions. Structure of measurable functions, Convergence in measure, Egoroff's theorem.
Weierstrass's theorem on the approximation of continuous function by polynomials, Lebesgue integral of bounded measurable functions, Lebesgue theorem on the passage to the limit under the integral sign for bounded measurable functions.
Summable functions, Space of square summable functions. Fourier series and coefficients, Parseval's identity, Riesz-Fisher Theorem.Lebesgue integration on R2.
Lebesgue integration on R2, Fubini's theorem. Lp-spaces, Holder-Minkowski inequalities. Completeness of Lp-spaces.

Sem. I
Advanced Differential Equations

Program Code : 312 Integrated M.Sc. (Applied Mathematics)
Department Code: MA MATHEMATICS

Department of mathematics
Indian instituteof technology roorkee

Teaching Scheme:
Yea Credits in Autumn Credits in Spring Semester Credits (year-wise)
1 21 24 45
2 19 24 43
3 20 18 38
4 18 20 38
5 17 15 32
Total 98 100 196

Contact to:

Head, Department of Mathematics,
IIT Roorkee, Roorkee-247667, INDIA
Phone : 01332 - 285249(O)