Syllabus

MSc Mathematics

FIRST SEMESTER

  1. Abstract Algebra (ME010101)
  2. Linear Algebra (ME010102)
  3. Basic Topology (ME010103)
  4. Real Analysis (ME010104)
  5. Graph Theory (ME010105)

SECOND SEMESTER

  1. Advanced Abstract Algebra (ME010201)
  2. Advanced Topology (ME010202)
  3. Numerical Analysis with Python (ME010203)
  4. Complex Analysis (ME010204)
  5. Measure and Integration (ME010205)

THIRD SEMESTER

  1. Advanced Complex Analysis(ME010301)
  2. Partial Differential Equations(ME010302)
  3. Multivariate Calculus and Integral Transforms(ME010303)
  4. Functional Analysis(ME010304)
  5. Optimization Technique(ME010305)

FOURTH SEMESTER

  1. Spectral Theory(ME010401)
  2. Analytic Number Theory(ME010402)
    • Elective 1
    • Elective 2
    • Elective 3
    • Dissertation
    • Comprehensive Viva
  3. Differential Geometry(Group A)(ME800401)
  4. Algorithmic Graph Theory(Group A)(ME800402)
  5. Combinatorics(Group A)(ME800403)
  6. Probability Theory(Group B)(ME810401)
  7. Operations Research(Group B)(ME810402)
  8. Coding Theory(Group B)(ME810403)
  9. Commutative Algebra(Group c)(ME820401)
  10. Ordinary Differential Equations(Group C)(ME820402)
  11. Classical Mechanics(Group C)(ME820403)

M. Sc. Mathematics

 

BSc Mathematics

MATHEMATICS CORE COURSES

  1. Semester I: MM1CRT01: Foundation of Mathematics
  2. Semester II: MM2CRT02: Analytic Geometry, Trigonometry and Differential Calculus
  3. Semeter III: MM3CRT03: Calculus
  4. Semester IV : MM4CRT04: Vector Calculus, Theory of Numbers and Laplace transforms
  5. Semester V:
    • MM5CRT05: Mathematical Analysis
    • MM5CRT06: Differential Equations
    • MM5CRT07: Abstract Algebra
    • Human rights and Mathematics for Environmental Studies
    • Open course
  6. Semester VI:
    • MM6CRT09 : Real Analysis
    • MM6CRT10: Graph Theory and metric spaces
    • MM6CRT11 : Complex Analysis
    • MM6CRT12 : Linear Algebra
    • Choice Based Course(Operations Research)
    • MM6PRT01 : Project

OPEN COURSE DURING THE FIFTH SEMESTER

  1. MM5OPT02: Applicable Mathematics

COMPLEMENTARY COURSES

  1. SemeterI:MM1CMT01:Partial Differentiation, Matrices,Trignometry, and Numerical Methods.
  2. Semester II: MM1CMT02:Integral Calculus and Differential Equations
  3. Semeter III:MM3CMT03:Vector Calculus,Analytic Geometry and Abstract Algebra
  4. Semester IV:MM4CMT04 : Fourier Series, Laplace Transform and Complex Analysis

B. Sc. Mathematics