State Emblem of India Government of Maharashtra
The Institute of Science crest The Institute of Science, Mumbai Est. 1920 · Constituent institute of Dr. Homi Bhabha State University · NAAC Grade 'A' Constituent of
Dr. Homi Bhabha State University Dr. Homi Bhabha State University logo
Latest
Quotations for Supply of Reference Books 2026-27List of students recommended for PhD(Science) admission for the academic year 2026-27Ph.D. Physics Admission 2026-27 - Qualified and Non-Qualified CandidatesPh.D. Mathematics Admission 2026-27 - Eligible Candidates for InterviewPh.D. Microbiology Admission 2026-27 - Interview Eligibility ListPh.D. Biotechnology Admission 2026-27 - Interview Eligibility ListPh.D. Chemistry Admission 2026-27 - Interview Eligibility ListPh.D. Biochemistry Admission 2026-27 - Interview Eligibility ListPh.D. Environmental Science Admission 2026-27 - Eligible Candidates for InterviewPh.D. Botany Admission 2026-27 - Eligible Candidates for Interview
All notices →
Department · Pure reasoning, modelling, and applied mathematical inquiry

Department of Mathematics

Postgraduate mathematics with analytical depth, theoretical training, and computational application.

Programmes Brochure 2025–26 (PDF) (opens in a new tab)
Faculty listed
2
Programmes
2
M.Sc. credits
88
About the department

About Mathematics

The Department of Mathematics at The Institute of Science, led by Professor Selby Jose, offers two postgraduate programs: M.Sc. Mathematics and M.Sc. Data Science. In 2019 and again in 2023 (as per NEP), the curriculum was updated to meet industry standards, benefiting students who have been placed in various companies. A highlight was the launch of M.Sc. Data Science in 2021-2022, reflecting the department's commitment to meet the demand for data science education.

The department emphasizes research quality and faculty development, often organizing webinars and workshops. SIGMATICS, an annual event, promotes mathematics among school students. Workshops are held to prepare students for teaching eligibility tests. The department provides a mini library with over 600 books and e-books. Overall, the department aims to excel with the collaboration of students, faculty, and the university.

Portrait of Prof. Selby Jose
Prof. Selby Jose Head of Department
From the Head of Department

Message from the Head

Welcome to the Department of Mathematics at The Institute of Science! We offer M.Sc. Mathematics and M.Sc. Data Science programs with 40 intake capacity. Our curriculum is aligning with industry standards. We're proud of launching M.Sc. Data Science to meet the demand. Faculties are engaged in research and in academic events. SIGMATICS, our annual outreach program, celebrates National Mathematics Day, promoting math among school students. Organizes workshops to prepare students for teaching careers. Our mini library and reading room offer ample resources.

The Department of Mathematics worked diligently to give its best to the institute and students. With the synergies of the students, faculty and the University we wish to move forward in this direction in a more focussed manner.

People

Faculty

As listed in the 2025–26 department brochure. Designations and qualifications appear only where the brochure prints them.

Study

Programmes & eligibility

Eligibility

  • For M.Sc. Mathematics eligibility is B.Sc. Mathematics from a Recognized University.
  • Mode of Selection is merit based.
NEP 2020

Curriculum & credit distribution

Transcribed from the 2025–26 brochure. Totals are calculated from the course rows; where the brochure prints a different figure it is shown beside the total.

M.Sc. (Mathematics) — Credit distribution (NEP) Department of Mathematics · brochure 2025–26 · pages 7, 8
Code Course Type Credits Marks
Semester I
MSMTDC101T MSMTDC101T Linear Algebra Major (mandatory) 4 100
MSMTDC102T MSMTDC102T Real and Complex Analysis Major (mandatory) 4 100
MSMTDC103T MSMTDC103T Differential Calculus Major (mandatory) 2 50
MSMTDC104T MSMTDC104T Ordinary Differential Equations Major (mandatory) 2 50
MSMTDE101T / MSMTDE102T MSMTDE101T / MSMTDE102T DSE1 (Any One) Choose one:
  • Probability Theory (MSMTDE101T)
  • Integral Transforms (MSMTDE102T)
 		Major (elective) 4 100
MSMTRM101T MSMTRM101T Research Methodology Minor 4 100
MSMTDE101P / MSMTDE102P MSMTDE101P / MSMTDE102P DSE1 LAB (Any One) Choose one:
  • Probability Theory LAB (MSMTDE101P)
  • Integral Transforms LAB (MSMTDE102P)
 		Major (elective) 2 50
Semester I total 22
Semester II
MSMTDC201T MSMTDC201T Group Theory Major (mandatory) 4 100
MSMTDC202T MSMTDC202T Topology Major (mandatory) 4 100
MSMTDC203T MSMTDC203T Optimization Techniques Major (mandatory) 2 50
MSMTDC204T MSMTDC204T Partial Differential Equations Major (mandatory) 2 50
MSMTDE201T / MSMTDE202T MSMTDE201T / MSMTDE202T DSE2 (Any One) Choose one:
  • Measure Theory and Integration (MSMTDE201T)
  • Differential Geometry (MSMTDE202T)
 		Major (elective) 4 100
MSMTDE201P / MSMTDE202P MSMTDE201P / MSMTDE202P DSE2 LAB (Any One) Choose one:
  • Measure Theory and Integration LAB (MSMTDE201P)
  • Differential Geometry LAB (MSMTDE202P)
 		Major (elective) 2 50
MSMTFP201T / MSMTOJ201P MSMTFP201T / MSMTOJ201P Field Project/OJT OJT / Field project 4 100
Semester II total 22
Semester III
MSMTDC301T MSMTDC301T Rings and Modules Major (mandatory) 4 100
MSMTDC302T MSMTDC302T Functional Analysis Major (mandatory) 4 100
MSMTDE301T–MSMTDE307T MSMTDE301T–MSMTDE307T DSE1 (Any One) Choose one:
  • Algebraic Topology (MSMTDE301T)
  • Calculus of Manifolds (MSMTDE302T)
  • Coding Theory (MSMTDE303T)
  • Commutative Algebra (MSMTDE304T)
  • Data Structure and Algorithm Using Python (MSMTDE305T)
  • Operations Research (MSMTDE306T)
  • Representation Theory of Finite Groups (MSMTDE307T)
 		Major (elective) 4 100
MSMTDC303T MSMTDC303T Mathematical Logic Major (mandatory) 2 50
MSMTDC304T MSMTDC304T Calculus of Variations Major (mandatory) 2 50
MSMTLB301P MSMTLB301P Computational Mathematics LAB Listed as "LAB" in the course column. Major (mandatory) 2 50
MSMTRP301P MSMTRP301P Research Project Research project 4 100
Semester III total 22
Semester IV
MSMTDC401T MSMTDC401T Field Theory Major (mandatory) 4 100
MSMTDC402T MSMTDC402T Fourier Analysis Major (mandatory) 4 100
MSMTDE401T–MSMTDE407T MSMTDE401T–MSMTDE407T DSE1 (Any One) Choose one:
  • Algebraic Geometry (MSMTDE401T)
  • Algebraic Number Theory (MSMTDE402T)
  • Algorithmic Trading (MSMTDE403T)
  • Cryptography (MSMTDE404T)
  • Graph Theory (MSMTDE405T)
  • Logic and Computability (MSMTDE406T)
  • Machine Learning (MSMTDE407T)
 		Major (elective) 4 100
MSMTDC403T MSMTDC403T Integral Equations Major (mandatory) 2 50
MSMTLB401T MSMTLB401T Numerical Analysis Using MathLAB LAB Listed as "LAB" in the course column; examined under the theory scheme as printed. Major (mandatory) 2 50
MSMTRP401P MSMTRP401P Research Project Research project 6 150
Semester IV total 22
Programme total 88
  • The brochure prints no semester or programme credit totals; computed totals are 22 credits per semester (88 overall).
  • Elective groups in Semesters III and IV are labelled "DSE1 (Any One)" in the brochure, as in Semester I.
  • The two LAB courses in Semesters III and IV carry only the label "LAB"; they are mapped to the major (mandatory) category here.
  • Marks shown are the printed total marks (theory total for theory courses, practical total for LAB/RP courses).
Governance

Board of Studies

  • Professor Selby Jose Chairperson
  • Professor Shriniwas Dhure Member
  • Dr. Sunil Singh Member
  • Mrs. Sangita Joshi Member
  • Mrs. Vijaya Yeole
Department life

Events, activities & careers

  • Faculty members and students posing with the SIGMATICS banner and a mathematics-themed display board

    SIGMATICS

    An annual outreach program to promote Mathematics among school students. SIGMATICS celebrates National Mathematics Day.

  • Faculty members and students posing with the SIGMATICS banner and a mathematics-themed display board
    SIGMATICS
  • School students in uniform receiving a certificate at SIGMATICS
    SIGMATICS
  • Students seated in a decorated classroom during SIGMATICS
    SIGMATICS
  • School students writing at desks during a SIGMATICS competition
    SIGMATICS
  • A faculty member presenting a certificate to a student at SIGMATICS
    SIGMATICS
  • Group photograph of students and faculty in front of a chalkboard decorated for SIGMATICS
    SIGMATICS

Internships, placements & careers

  • In the Department of Mathematics, we prioritize real-world application and career readiness. With a solid foundation in mathematics and interdisciplinary skills, our students are prepared to seize promising job opportunities in a competitive global market.
Get in touch

Department contact

Source: Department of Mathematics brochure 2025–26 (10 pages). Brochure details may change; confirm admission rules with the Institute.