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Analysis-III

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Course TypeCourse CodeNo. Of Credits
Foundation CoreSUS1MA5084

Semester and Year Offered: Winter semester 

Course Coordinator and Team: Mradul Veer Singh(CC)

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

Pre-requisites: SUS1MA505

Aim: This course has been designed keeping in mind the students who have already been exposed to M08. A beginning to theory of integrable functions is made by introducing basics of Riemann Integration. A detailed study of sequences and series of functions along with lots of examples will be done. The various notions learnt till now will be used for functions of two variables.

Brief description of modules/ Main modules:

  1. Riemann Integration
  2. Sequences and Series of functions
  3. Functions of two variables

Refererences:

  • Elementary Analysis: The Theory of Calculus by Kenneth A Ross, Springer (2010) ISBN: 144192811
  • Essential Calculus: Early Transcendental, by James Stewart, Thomson Brook/ Cole (2007), ISBN: 0-495-01428-1

ADDITIONAL REFERENCE:

  • Bartle and Sherbert, Introduction to Real Analysis (Third Edition), John Wiley and Sons (Asia) Pte. Ltd., Singapore, 2002.
  • Weir, Hass and Giordano, Thomas’ Calculus (Eleventh Edition), Pearson, 2009

Tentative Assessment schedule with details of weightage:

S.No

Assessment

Date/period in which Assessment will take place

Weightage

1

Class test

Second/third week of February, 2018

10%

2

Mid Semester Exam

As per AUD Academic Calendar

25%

3

Tut/ Home Assignments

Throughout the semester

15%

4

Presentation/ Viva

First/Second week of April, 2018

15%

5

End Semester Exam

As per AUD Academic Calendar

35%