programme

Analysis II

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Course TypeCourse CodeNo. Of Credits
Foundation CoreSUS1MA5054

Type of Course:

  • Compulsory Yes (Cohort BA (H) Mathematics)
  • Elective Yes (Cohort BA (H) other than Mathematics)

Course Coordinator and Team: Ramneek Khassa (CC)

Email of course coordinator: ramneek[at]aud[dot]ac[dot]in

Pre-requisites: M04

Aim: This course covers calculus more thoroughly and more theoretically, giving an introduction to important mathematical techniques and results that give a foundation for further work in analysis. It serves as an introduction to the rigorous proofs and formal mathematical arguments needed in all upper division math courses.

Brief description of modules/ Main modules:

  • The real numbers
  • Sequences and series
  • Limit and continuity
  • Differentiation

Refererences:

  • Bartle and Sherbert, Introduction To Real Analysis (Third Edition), John Wiley and Sons (Asia) Pte. Ltd., Singapore, 2002.
  • K. N. Ross, Elementary Analysis: Review of Calculus, Springer, 2007.

Tentative Assessment schedule with details of weightage: 

S.NoAssessmentDate/period in which Assessment will take placeWeightage
1Class testEnd August10%
2Mid Semester ExamEnd September/ early October25%
3Tut/ Home AssignmentsThroughout the semester15%
4Presentation/ VivaEnd October/ early November15%
5End Semester ExamAs per AUD Academic Calendar35%