Gautam Bharali

               Department of Mathematics

                 Indian Institute of Science

                 Bangalore 560012

 

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TEACHING: SPRING SEMESTER, 2022

UM 204: INTRODUCTION TO BASIC ANALYSIS

  • Announcements on special measures related to COVID-19 concerning lectures/tutorials

    Lectures and tutorials will be conducted online and in real-time until further instructions from the Institute.

    The first lecture will be on January 5, 11:00 a.m.–noon.

    Online lectures will be conducted via MS Teams. To reiterate: the lectures will be in real-time, and interactive (to the extent that the technology permits). A recording of each online lecture will be available for students to re-watch or to download.

    Students, whether they are taking the course for credit or auditing it, must join the UM204 Team. A joining code will be posted on this page by 11:59 p.m. on Jan 3, 2022 (to access it, you must be logged into your IISc Microsoft Outlook account in a separate tab in the same browser). Students not from IISc should e-mail me to receive the joining code.

  • Meeting times

    Lectures: Mondays: 11:00–11:55 a.m., Wednesdays and Fridays, 11:00 a.m.–noon

    Tutorials: Mondays, 12:05–1:00 p.m.

  • All about this course: Information coming soon!

  • Recommended books

    Walter Rudin, Principles of Mathematical Analysis, 3rd Ediition, McGraw-Hill International Editions, 1976.

    Terence Tao, Analysis–I, 3rd Ediition, TRIM Series, Hindustan Book Agency, 2014.

    T.M. Apostol, Mathematical Analysis, 2nd Ediition, Narosa, 1996.

  • Teaching Assistants (replace «...» by iisc.ac.in in the addresses below)

    (1) Kiran Kumar Behera: (kiranbehera@«...»)

    (2) Kartick Ghosh: (kartick@«...»)

  • Documents

  • Syllabus (tentative: the list below will grow as the semester progresses )

  • Announcements

  • Homework assignments

    Homework 1

  • Quiz solutions


TEACHING: LAST 5 YEARS

  • ANALYSIS–II: MEASURE AND INTEGRATION (MA222)   [Spring 2017, Spring 2020 ]

  • UNDERGRADUATE ANALYSIS & LINEAR ALGEBRA (UM101)   [Autumn 2017, "Autumn" 2020 ]

  • ANALYSIS–I (MA221)   [Autumn 2018]

  • INTRODUCTION TO BASIC ANALYSIS (UM204)   [Spring 2019]

  • INTRODUCTION TO SEVERAL COMPLEX VARIABLES (MA328)  [ Autumn 2019 ]

  • INTRODUCTION TO COMPLEX DYNAMICS (MA380)  [ Autumn 2016, Spring 2021 ]

Page last updated on January 14, 2021