Differential geometry and ordinary differential equations are among the subjects included in the MSc Maths Syllabus. Those who are interested in and eager to study this course should be familiar with the MSc Maths Syllabus. The two-year study forms the basis of the MSc Maths curricula. It is separated into four semesters in addition. Read the entire article below to have a comprehensive understanding of the MSc Maths Subjects and Syllabus.
MSc Maths Syllabus
MSc Maths syllabus incorporates knowledge in various subjects such as Mathematicians and the History of Mathematics, Measure And Integration, Real Analysis, Ordinary Differential Equations, etc. The MSc Maths syllabus covers the whole 2-year course helping the students in getting a clear understanding of their future career.
People Also Read: What is MSc degree
MSc Maths Syllabus: Year Wise
The candidates, to get a complete proficiency in the MSc Maths Semester Wise syllabus should refer to the table below:-
MSc Maths Syllabus: First Year
| MSc Maths Subjects: 1st Sem | MSc Maths Subjects: 2nd Sem |
| Algebra - I | Algebra - II |
| Real Analysis | Complex Analysis |
| Topology - I | Topology - II |
| Ordinary Differential Equations | Functional Analysis |
| Discrete Mathematics | Partial Differential Equations |
| Mathematicians and the History of Mathematics | Mathematical Modelling and Numerical Analysis - I |
Check out the Course wise subject breakdown in the section below -
MSc Maths Syllabus: Second Year
| MSc Maths Subjects: 3rd Sem | MSc Maths Subjects: 4th Sem |
| Differential Geometry | Measure And Integration |
| Mathematical Methods | Elective IV |
| Fluid Mechanics | Elective V |
| Numerical Analysis - II | Elective VI |
| Elective I | - |
| Elective II | - |
| Elective III | - |
Check about other MSc specializations:
MSc Maths Syllabus: Semester-Wise
The detailed MSc Maths Semester-Wise Syllabus is mentioned in the table below:-
MSc Maths Subjects: 1st Sem
- Algebra - I
- Real Analysis
- Topology - I
- Ordinary Differential Equations
- Discrete Mathematics
- Mathematicians and the History of Mathematics
MSc Maths Subjects: 2nd Sem
- Algebra - II
- Complex Analysis
- Topology - II
- Functional Analysis
- Partial Differential Equations
- Mathematical Modelling and Numerical Analysis - I
MSc Maths Subjects: 3rd Sem
- Differential Geometry
- Mathematical Methods
- Fluid Mechanics
- Numerical Analysis - II
- Elective I
- Elective II
- Elective III
MSc Maths Subjects: 4th Sem
- Measure And Integration
- Elective IV
- Elective V
- Elective VI
Read More:
MSc Maths Subjects
Various subjects are included in the course of MSc Maths. Additionally, the under described are the MSc Maths Subjects:-
- Algebra
- Real Analysis
- Topology
- Ordinary Differential Equations
- Discrete Mathematics
- Eminent Mathematicians and the History of Mathematics
- Complex Analysis
- Functional Analysis
- Partial Differential Equations
- Differential Geometry
- Mathematical Methods
- Fluid Mechanics
- Measure And Integration
Related Links:-
MSc Maths Syllabus: Elective Subjects
In addition to transdisciplinary courses, you will be used to a variety of electives that can allow you to go deeper into the subjects you are passionate about. The complete list of MSc Maths Syllabus Electives List is listed below:
- Electromagnetism in Special Relativity
- Rings and Modules
- The Four-Vector Formulation of Special Relativity
- Applications of Special Relativity
- Canonical Transformations
- Fluid Mechanics
MSc Maths Syllabus: Core Subjects
The MSc Maths Syllabus Core Subjects are mentioned below:-
- Algebra
- Real Analysis
- Topology
- Ordinary Differential Equations
- Discrete Mathematics
- Eminent Mathematicians and the History of Mathematics
- Complex Analysis
- Functional Analysis
- Partial Differential Equations
- Differential Geometry
- Mathematical Methods
- Fluid Mechanics
- Measure And Integration
MSc Maths Syllabus: DU
The candidates willing to study the MSc Maths course from Delhi University should make sure that they are completely well-versed with the complete syllabus. The MSc Maths Syllabus DU can be found below:-
MSc Maths DU Subjects: 1st Sem
| Subject Code | Name of the Subject |
| MMATH18-101 | Field Theory |
| MMATH18-102 | Complex Analysis |
| MMATH18-103 | Measure and Integration |
| MMATH18-104 | Differential Equations |
MSc Maths DU Subjects: 2nd Sem
| Subject Code | Name of the Subject |
| MMATH18-201 | Module Theory |
| MMATH18-202 | Introduction to Topology |
| MMATH18-203 | Functional Analysis |
| MMATH18-204 | Fluid Dynamics |
MSc Maths DU Subjects: 3rd Sem
| Subject Code | Name of the Subject |
| MMATH18-301 | Any course out of the following:-
|
| MMATH18-302 | Any course out of the following:-
|
| MMATH18-303 | Any course out of the following:-
|
| MMATH18-304 | Any course out of the following:-
|
| MMATH18-305 | Any course out of the following:-
|
MSc Maths DU Subjects: 4th Sem
| Subject Code | Name of the Subject |
| MMATH18-401 | Any course out of the following:-
|
| MMATH18-402 | Any course out of the following:-
|
| MMATH18-403 | Any course out of the following:-
|
| MMATH18-404 | Any course out of the following:-
|
| MMATH18-405 | Any course out of the following:-
|
MSc Maths Syllabus: KUK
The candidates who are interested in studying the course of MSc Maths Syllabus from KUK should make sure to know about its syllabus. Further details about the MSc Maths Syllabus KUK can be found below:-
MSc Maths KUK Subjects: 1st Sem
Paper Code | Name of Paper |
| MSM 101 | Abstract Algebra |
| MSM 102 | Complex Analysis |
| MSM 103 | Ordinary Differential Equations |
| MSM 104 | Real Analysis |
| MSM 105 | Topology |
| MSM 106 | Practical-I |
| MSM 107 | Seminar-I |
MSc Maths KUK Subjects: 2nd Sem
| Paper Code | Paper Name |
| MSM 201 | Advanced Abstract Algebra |
| MSM 202 | Computer Programming |
| MSM 203 | Measure and Integration |
| MSM 204 | Mechanics of Solids |
| MSM 205 | System of Differential Equations |
| MSM 206 | Practical-II |
| OE 207 | Applied Algebra and Analysis |
MSc Maths KUK Subjects: 3rd Sem
| Paper Code | Name of Paper |
| MSM 301 | Functional Analysis |
| MSM 302 | Fluid Mechanics |
| MSM 303 | Practical-III |
| MSM 304 | Advanced Topology |
| MSM 305 | Algebraic Coding Theory |
| MSM 306 | Commutative Algebra |
| MSM 307 | Differential Geometry |
| MSM 308 | Elasticity |
| MSM 309 | Financial Mathematics |
| MSM 310 | Fuzzy Sets and Applications |
| MSM 311 | Integral Equations |
| MSM 312 | Mathematical Modeling |
| MSM 313 | Mathematical Statistics |
| MSM 314 | Methods of Applied Mathematics |
| MSM 315 | Number Theory |
| OE 307 | Applied Numerical Methods |
MSc Maths KUK Subjects: 4th Sem
| Paper Code | Name of Paper |
| MSM 401 | Mechanics and Calculus of Variations |
| MSM 402 | Partial Differential Equations |
| MSM 403 | Practical – IV |
| MSM 404 | Seminar-II |
| MSM 405 | Advanced Complex Analysis |
| MSM 406 | Advanced Discrete Mathematics |
| MSM 407 | Advanced Functional Analysis |
| MSM 408 | Algebraic Number Theory |
| MSM 409 | Analytic Number Theory |
| MSM 410 | Bio-Mathematics |
| MSM 411 | Boundary Value Problems |
| MSM 412 | Fluid Dynamics |
| MSM 413 | General Measure and Integration Theory |
| MSM 414 | Linear Programming |
| MSM 415 | Mathematical Aspects of Seismology |
| MSM 416 | Non-Commutative Rings |
| MSM 417 | Wavelet Analysis |
Top Colleges Offering MSc Maths
Several institutes provide the course of MSc Maths in India. Furthermore, the list below explains about the top colleges offering MSc Maths:-
| Name of the College | MSc Maths Course Fee |
| Hindu College | INR 19.71 K |
| Miranda House | INR 16.17 K |
| Loyola College | INR 85.25 K |
| HRC | INR 16.55 K |
| Fergusson College | INR 50.78 K |
| Kirori Mal College | INR 9.34 K |
| Ramjas College | INR 14.40 K |
| Ramakrishna Mission Vidyamandira | INR 14.40 K |
| Sri Venkateswara College | INR 13.19 K |
| Stella Maris College | INR 15.00 K |
| PSG College of Arts and Science | INR 10.00 K |
| Christ University, Bangalore | INR 90.00 K |
| PSGR Krishnammal College for Women | INR 2.26 K |
| Mithibai College of Arts | INR 50.00 K |
| Sri Guru Tegh Bahadur Khalsa College | INR 18.95 K |
Also Read - MSc Colleges in India
MSc Maths Reference Books
The following suggested books can be used to help applicants who are interested in taking the MSc Maths course:-
| Name of the books | Name of the authors |
| Linear Algebra: Geometric Approach | S. Lang |
| Methods of Real Analysis | RR Goldberg |
| Differential Equations | GF Simmons |
| Foundations in Discrete Mathematics | KD Joshi |
| Complex Analysis | Ahlfors |