Master of Science (M.Sc.) Mathematics Course at Sikkim Manipal University, Gangtok Syllabus & Subjects Semester Wise

The M.Sc. Mathematics syllabus covers advanced topics in pure and applied mathematics, including algebra, calculus, differential equations, and mathematical modeling. Students also engage in research projects and seminars.

Syllabus for M.Sc. in Mathematics Course

The Master of Science (M.Sc.) in Mathematics program offers an advanced and comprehensive curriculum that covers a wide range of mathematical topics. Students delve into areas such as advanced calculus, linear algebra, abstract algebra, real analysis, complex analysis, and functional analysis. They also explore specialized branches of mathematics like number theory, differential equations, topology, and mathematical modeling. The program emphasizes both theoretical understanding and practical applications, with coursework often including advanced problem-solving techniques and mathematical proofs. In addition to core mathematics courses, students may have the flexibility to choose electives that align with their interests, such as mathematical finance, cryptography, or numerical analysis. This program equips graduates with advanced mathematical knowledge and problem-solving skills, preparing them for careers in academia, research, data science, finance, engineering, and various industries where mathematics plays a crucial role.

Syllabus of M.Sc. in mathematics

Year 1

S.No	Subjects
1	Real Analysis
2	General Topology
3	Advanced Calculus
4	Differential Geometry
5	Linear Algebra
6	Groups and Rings
7	Number Theory

Year 2

S.No	Subjects
1	Elements of Functional Analysis
2	Topology
3	Commutative Algebra
4	Theory of Numbers
5	Algebraic Number Theory
6	Galois Theory
7	Differential equations and its applications
8	Algorithms and computations