Details of MA2101 (Autumn 2018)

Level: 2 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
MA2101 Analysis I Asok Kumar Nanda


  • Real Numbers: Introduction to the real number field, supremum, infimum, completeness axiom, basic properties of real numbers, decimal expansion, construction of real numbers.
  • Sequences and Series: Convergence of a sequence, Cauchy sequences and subsequences, absolute and conditional convergence of an infinite series, Riemann's theorem, various tests of convergence.
  • Point-set Topology of: $\mathbbR$: Open and closed sets; interior, boundary and closure of a set; Bolzano-Weierstrass theorem; sequential definition of compactness and the Heine-Borel theorem.
  • Limit of a Function: Limit of a function, elementary properties of limits.
  • Continuity: Continuous functions, elementary properties of continuous functions, intermediate value theorem, uniform continuity, properties of continuous functions defined on compact sets, set of discontinuities.


  1. Apostol, T.M., Mathematical Analysis, Narosa Publishers.
  2. Bartle, R.G. and Sherbert, D.R., Introduction to Real Analysis, Wiley.
  3. Berberian, S.K., A First Course in Real Analysis, Springer.
  4. Denlinger, C.G., Elements of Real Analysis, Jones and Bartlett Publishers.
  5. Goldberg, R.R., Methods of Real Analysis, Oxford \& IBH Publishing.
  6. Howie, J.M., Real Analysis, Springer-Verlag.
  7. Kumar, A. and Kumaresan, S., A Basic Course in Real Analysis, CRC Press.
  8. Morrey, C.B. and Protter, M.H., A First Course in Real Analysis, Springer-Verlag.
  9. Rudin, W., Principles of Mathematical Analysis, McGraw-Hill.

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