M.Phil Mathematics Syllabus and Subjects 2023

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	Dissertation
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	Authors
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,