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MSc Maths Syllabus and Subjects 2024: Semester-Wise, Year-Wise

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Lipi Kaushik

Updated on 30th May, 2024 , 5 min read

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

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.

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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 SemMSc Maths Subjects: 2nd Sem
Algebra - IAlgebra - II
Real AnalysisComplex Analysis
Topology - ITopology - II
Ordinary Differential EquationsFunctional Analysis
Discrete MathematicsPartial Differential Equations
Mathematicians and the History of MathematicsMathematical 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 SemMSc Maths Subjects: 4th Sem
Differential GeometryMeasure And Integration
Mathematical MethodsElective IV
Fluid MechanicsElective V
Numerical Analysis - IIElective VI
Elective I

-

Elective II

-

Elective III

-

Check about other MSc specializations:

MSc Computer ScienceMSc Computer Science Syllabus

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 Syllabus and SubjectsMSc Entrance ExamsMSc Admission 2024

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

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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 CodeName of the Subject
MMATH18-101Field Theory
MMATH18-102Complex Analysis
MMATH18-103Measure and Integration
MMATH18-104Differential Equations

MSc Maths DU Subjects: 2nd Sem

Subject CodeName of the Subject
MMATH18-201Module Theory
MMATH18-202Introduction to Topology
MMATH18-203Functional Analysis
MMATH18-204Fluid Dynamics

MSc Maths DU Subjects: 3rd Sem

Subject CodeName of the Subject
MMATH18-301

Any course out of the following:-

  • Algebraic Topology
  • Commutative Algebra
  • Representation of Finite Groups
MMATH18-302

Any course out of the following:-

  • Fourier Analysis
  • Matrix Analysis
  • Theory of Bounded Operators
MMATH18-303

Any course out of the following:-

  • Advanced Complex Analysis
  • Advanced Measure Theory
  • General Topology
MMATH18-304

Any course out of the following:-

  • Computational Fluid Dynamics
  • Computational Methods for ODE
  • Mathematical Programming
  • Methods of Applied Mathematics
MMATH18-305

Any course out of the following:-

  • Coding Theory
  • Stochastic Calculus for Finance

MSc Maths DU Subjects: 4th Sem

Subject CodeName of the Subject
MMATH18-401

Any course out of the following:-

  • Advanced Group Theory
  • Algebraic Number Theory
  • Simplicial Homology Theory
  • Theory of Non-commutative Rings
MMATH18-402

Any course out of the following:-

  • Abstract Harmonic Analysis
  • Frames and Wavelets
  • Operators on Hardy-Hilbert Spaces
  • Theory of Unbounded Operators
MMATH18-403

Any course out of the following:-

  • Calculus on Rn
  • Differential Geometry
  • Topological Dynamics
MMATH18-404

Any course out of the following:-

  • Advanced Fluid Dynamics
  • Computational Methods for PDE
  • Dynamical Systems
  • Optimization Techniques & Control Theory
MMATH18-405

Any course out of the following:-

  • Cryptography
  • Support Vector Machines

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 101Abstract Algebra
MSM 102Complex Analysis
MSM 103Ordinary Differential Equations
MSM 104Real Analysis
MSM 105Topology
MSM 106Practical-I
MSM 107Seminar-I

MSc Maths KUK Subjects: 2nd Sem

Paper CodePaper Name
MSM 201Advanced Abstract Algebra
MSM 202Computer Programming
MSM 203Measure and Integration
MSM 204Mechanics of Solids
MSM 205System of Differential Equations
MSM 206Practical-II
OE 207Applied Algebra and Analysis

MSc Maths KUK Subjects: 3rd Sem

Paper CodeName of Paper
MSM 301Functional Analysis
MSM 302Fluid Mechanics
MSM 303Practical-III
MSM 304Advanced Topology
MSM 305Algebraic Coding Theory
MSM 306Commutative Algebra
MSM 307Differential Geometry
MSM 308Elasticity
MSM 309Financial Mathematics
MSM 310Fuzzy Sets and Applications
MSM 311Integral Equations
MSM 312Mathematical Modeling
MSM 313Mathematical Statistics
MSM 314Methods of Applied Mathematics
MSM 315Number Theory
OE 307Applied Numerical Methods

MSc Maths KUK Subjects: 4th Sem

Paper CodeName of Paper
MSM 401Mechanics and Calculus of Variations
MSM 402Partial Differential Equations
MSM 403Practical – IV
MSM 404Seminar-II
MSM 405Advanced Complex Analysis
MSM 406Advanced Discrete Mathematics
MSM 407Advanced Functional Analysis
MSM 408Algebraic Number Theory
MSM 409Analytic Number Theory
MSM 410Bio-Mathematics
MSM 411Boundary Value Problems
MSM 412Fluid Dynamics
MSM 413General Measure and Integration Theory
MSM 414Linear Programming
MSM 415Mathematical Aspects of Seismology
MSM 416Non-Commutative Rings
MSM 417Wavelet 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 CollegeMSc Maths Course Fee
Hindu CollegeINR 19.71 K
Miranda HouseINR 16.17 K
Loyola CollegeINR 85.25 K
HRCINR 16.55 K
Fergusson CollegeINR 50.78 K
Kirori Mal CollegeINR 9.34 K
Ramjas CollegeINR 14.40 K
Ramakrishna Mission VidyamandiraINR 14.40 K
Sri Venkateswara CollegeINR 13.19 K
Stella Maris CollegeINR 15.00 K
PSG College of Arts and ScienceINR 10.00 K
Christ University, BangaloreINR 90.00 K
PSGR Krishnammal College for WomenINR 2.26 K
Mithibai College of ArtsINR 50.00 K
Sri Guru Tegh Bahadur Khalsa CollegeINR 18.95 K

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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 booksName of the authors
Linear Algebra: Geometric ApproachS. Lang
Methods of Real AnalysisRR Goldberg
Differential EquationsGF Simmons
Foundations in Discrete MathematicsKD Joshi
Complex AnalysisAhlfors

Frequently Asked Questions

What is the MSc Maths Syllabus?

Ans. The MSc Maths Syllabus is based on the 2 year course that is further divided into 5 semesters. The subjects in this course include Applications of Special Relativity, Canonical Transformations, Functional Analysis, Partial Differential Equations, Differential Geometry, etc.

How to Download MSc Maths Syllabus PDF?

Ans. One can visit the authority’s official website, select the "Syllabus" tab, click on the PDF link, and then download the MSc Maths Syllabus PDF.

How many semesters are there in the MSc Maths syllabus?

Ans. There are 4 semesters in the MSc Maths syllabus.

Is MSc Maths hard to study?

Ans. One of the most challenging courses, the MSc in Mathematics lasts two years. Since math is already regarded as a difficult topic, earning a master’s degree in mathematics is always regarded as difficult.

Is the MSc Maths course useful?

Ans. Students in the MSc Mathematics programme gain a thorough understanding of both pure and applied mathematics. The ability to reason and solve problems in real-world situations is something that students learn about.

What are the subjects in MSc Maths?

Ans. The subjects in MSc Maths include Ordinary Differential Equations, Discrete Mathematics, Eminent Mathematicians and the History of Mathematics, Complex Analysis, etc

Is MSc Maths tough?

Ans. One of the most challenging courses, the MSc in Mathematics lasts two years. Since math is already regarded as a difficult topic, earning a master’s degree in mathematics is always regarded as difficult. All the theorems and derivations covered in the mathematics curriculum are covered in the MSc in Mathematics.

Is MSc Maths a good career?

Ans. Candidates for the M.Sc. in Mathematics would do well in a career in scientific, statistical, or operational research. You can apply for research positions at famous organisations like the Defense Research and Development Organization (DRDO) and ISRO, among others.

What are the elective subjects in MSc Mathematics?

Ans. The elective subjects in MSc Mathematics include Electromagnetism in Special Relativity, Rings and Modules, The Four-Vector Formulation of Special Relativity, Applications of Special Relativity, Canonical Transformations, and Fluid Mechanics.

What are the core subjects in MSc Mathematics?

Ans. The core subjects in MSc Maths include 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, and Measure And Integration.

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