programme

Analysis-I

Home/ Analysis-I
Course TypeCourse CodeNo. Of Credits
Foundation CoreSUS1MA5024

Semester and Year Offered: Winter semester

Course Coordinator and Team: Kranti Kumar(CC)

Email of course coordinator: kranti@aud.ac.in

Pre-requisites: Mathematics at XII grade level and 4 credits from MA501 (Introduction to Mathematical Thinking)

Aim: The aim of the course is to introduce the students to the foundations of advanced calculus. Basic techniques of differentiation and integration are covered along with a review of sequences. Lots of examples based on these topics are done in order to prepare for real analysis.

Brief description of modules/ Main modules:

  1. Sequences
  2. Limits and continuity
  3. Differentiation and Integration

Reading List:

  • 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

ADDITIONAL REFERENCE:

  • Salas, Hille and Etgen, Calculus: One and several variables (Tenth Edition), John Wiley and Sons, Inc., 2007.

Assessments:

ComponentsWeightageSchedule
Class Test10%Second week of February
Mid Semester Test25%As per AUD timetable
Presentation/Viva15%First week of April
End Semester Test35%As per AUD timetable
Tutorial Assessment15%Throughout the semester