Details of MA2103 (Autumn 2018)

Level: 2 Type: Theory Credits: 2.0

Course CodeCourse NameInstructor(s)
MA2103 Mathematics III Anirban Banerjee


  • Part I: Cardinality of Sets: Finite sets, infinite sets, denumerable and countable sets, uncountable sets, Cantor's theorem, Schr\"oder-Bernstein theorem.
  • Part II: Number Theory: Mathematical induction, divisibility, greatest common divisor and Euclidean algorithm, prime numbers and unique factorization, congruence, Euler's totient function, Fermat's and Euler's theorems, linear congruence equations, simultaneous linear equations and Chinese remainder theorem, quadratic residues, Gauss' lemma, quadratic reciprocity law.


  1. Burton, D.M., Elementary Number Theory, Tata McGraw-Hill.
  2. Halmos, P.R., Na$\ddot\i$ve Set Theory, Springer.
  3. Hardy, G.H. and Wright, E.M., An Introduction to the Theory of Numbers, Oxford University Press.
  4. Rosen, K.H., Elementary Number Theory and Its Applications, Addison-Wesley.

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Not Allowed
2 IP 3 Not Allowed
3 IP 5 Not Allowed
4 MR 1 Not Allowed
5 MR 3 Not Allowed
6 MS 3 Core
7 RS 1 Not Allowed
8 RS 2 Not Allowed