M.Phil Mathematics is a two-year postgraduate course in Mathematics and is divided into four semesters. The syllabus of M.Phil in Mathematics has both core and elective subjects as part of the curriculum. This course will cover the study of quantity, structure, space, and change. However, The subjects related to this course vary according to specializations and the institutes.

Semester Wise M.Phil Mathematics Syllabus

The syllabus for M.Phil in Mathematics covers everything from the philosophical foundation of the subject to arithmetic learning. M.Phil Mathematics course aims to ensure that the students get an in-depth understanding of the subject. The course aims to make sure that the students get important knowledge about the study of origin and development of the subject as well. Semester-wise M.Phil in Mathematics subjects list is given in the table below:

M.Phil Mathematics First Year Syllabus

Semester I

Semester II

Philosophical Foundations of the Subject

Advanced Research Methodology and Research in the Area of Study

Analysis and Domain Study

Elective Subject - I

Study of Origin and Development of the Subject

Study of Relative Discipline to the Subject of Study


M.Phil Mathematics Second Year Syllabus

Semester III

Semester IV

Computer Applications in the Domain of the Subject


Viva- Voce Examination

Elective Subject II

Exercise/Practical Work


M.Phil Mathematics Subjects

M.Phil topics that are below given are of every specialization the institutes have to offer to the students. The M.Phil syllabus of every specialization can also additionally have unique tenets of the direction information. However, the typical format of the M.Phil Mathematics syllabus for any specialization stays the same. Students can choose the M.Phil topics to provide a duration of four semesters to make the Master of Philosophy Syllabus very flexible. Here is the M.Phil subjects list:

  • Family Studies
  • Human Development
  • Early Childhood Care and Education
  • Research Methods and Statistics
  • Community Psychology
  • Child and Family Welfare
  • Management Principles
  • Understanding of Managerial Roles
  • Review of Literature
  • Human Resource Management

M.Phil Mathematics Course Structure

M.Phil Mathematics course structure includes both theory and practical papers, and is curated for two years divided into four semesters. The course structure is made in such a way that both classroom training and practicals are included in the course curriculum. The course structure is given below:

  • Examination 1
  • Theory and Internal Assessment
  • Examination 2
  • Dissertation and Viva-Voce

M.Phil Mathematics Teaching Methodology and Techniques

The course, M.Phil Mathematics curriculum takes into consideration different teaching techniques. Classroom learning includes practical sessions for students who are passionate about Mathematics. Here are the teaching methodology and strategies :

  • Conceptualized Learning
  • Traditional Classroom-Based Teaching
  • Viva and Research
  • Practicals
  • Group Discussions
  • Presentations

M.Phil Mathematics Projects

Projects and thesis are given to students to understand the concepts and help students in getting hands-on experience. Projects are to be completed by the end of the fourth semester. Some popular M.Phil project topics in mathematics are:

  • Spin Waves.
  • Modelling of Mass Transfer Processes in the RDC Column.
  • Functional Integral in Mathematical Physics.
  • Fuzzy Delay Differential Equations

M.Phil Mathematics Reference Books

M.Phil in Mathematics books are available both online and offline by many authors and publications. These books are made to gain an in-depth understanding of concepts. Books on this course differ according to specializations. Some of the reference books for the course in M.Phil in Mathematics are:

M.Phil Mathematic Books

Name of the Books


Introduction to Analytic Number Theory

Tom M. Apostol

Introduction to Rings and Modules

 C. Musili

Boundary-Layer Theory

Dr. Hermann Schlichting

Abstract Algebra, Wiley-Student Edition

David S. Dummit and Richard M. Foote,

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