M. Math.
ISI Bangalore, 2026-2027 Session
Semester: I
Instructor: Sujata Ghosh
Meeting Times : Tuesdays, Thursdays 11:10 am - 1:10 pm
First Class: Tuesday, July 21, 2026
Location: Online
Instructor: Sujata Ghosh
Meeting Times : Tuesdays, Thursdays 11:10 am - 1:10 pm
First Class: Tuesday, July 21, 2026
Location: Online
[Teaching staff | Course overview | References | Grading | Lecture schedule | Homeworks/Handouts]
Teaching staff
Instructor
Sujata Ghosh
Email: sujata AT isichennai DOT res DOT in
Office Hours: By Arrangement (please send an e-mail)
Office Hours: By Arrangement (please send an e-mail)
TA
Saptarshi Sahoo
Email: saptarshi AT isichennai DOT res DOT in
Office Hours: By Arrangement (please send an e-mail)
Office Hours: By Arrangement (please send an e-mail)
Course overview
Course Description: This course can be considered as an introductory course on mathematical logic.
We will deal with both model-theoretic and proof-theoretic techniques. We will
also give an introduction to model theory and explore the usage of logic as a tool in mathematics.
The complete syllabus of the course can be
found here.
References
Text book(s): The main text books for the course include A mathematical introduction to logic
by H.B. Enderton, and A course on mathematical logic by S.M. Srivastava.
Other books will be mentioned along the course as and when necessary.
Other books will be mentioned along the course as and when necessary.
Grading
Grades are based on mid-semester examination (20%), home assignments (20%), project (10%)
and end-semester examination (50%). The home assignments would include sets of homework
which will be uploaded here at regular intervals, and algorithmic questions. The projects
would be decided along the way depending upon the interests, and the deadline for submission
will be the last day of class in the semester.
The latex template for the project can be found here.
The latex template for the project can be found here.
Lecture schedule
| 21.07.2026 | First order logic: Syntax and semantics (Class notes) |
| 23.07.2026 | Expressivity, isomorphism, equivalence (Class notes) |
| 28.07.2026 | On consequence and satisfiability (Class notes) |
| 30.07.2026 | Compactness: quantifier-free formulas (Class notes) |
| 11.08.2026 | Compactness: quantified formulas (Class notes) |
| 13.08.2026 | On deductive consequence (Class notes) |
Homeworks/Handouts
Homework 1
Deadline for submission: August 16, 2026.