Subjects of MSc Mathematics With Syllabus (+Bouns Info).

Two circle with text of subjects of MSc mathematics & Syllabus.
Two Circle with text.

It’s always good to know the subjects of MSc mathematics on and average. Because after choosing the career in MSc mathematics you will be going to face these subjects or I can say the syllabus of MSc maths in your day to day life.

After choosing the career of MSc mathematics problem only comes when you are not previously clear about the subjects of MSc mathematics.

In the below guide you will not only get the right information about the subject and syllabus of MSc maths. But you will also get the bonus information which will be going to help you a lot in this career option.

Let beginner with subjects of MSc mathematics or you can say syllabus of MSc maths.

Notes: We all know that MSc mathematics is two years course. However, if you talk about MSc maths distance education. Then in some institutes, this course duration is 4 years. But, most of the college offers the two years of duration course.

Syllabus for MSc maths covers many projects and assignments. Which will boost your problem-solving skills? MSc mathematics syllabus covers a few compulsory subjects along with other elective subjects.

As I have researched most of the colleges provide the same subjects for MSc maths.


 The Topic Undercover.

1.Advanced Abstract Algebra.Refinement Theorem, Permutations, and combinations, Field theory, groups of order p square, Algebraic & transcendental Extension, matrix ring.
2.Real Analysis.Summable function, Basic Topology, Sequence, and series, Structure of measurable functions, Continuity, Algebras, and sets of algebras, Boreal sets.
3.Advanced Differential Equations.Lagrange linear equation, partial differential equation of first order, Nonlinear ordinary differential equations of particular forms.
4.Differential Geometry.Ruled Surface, the theory of curves, Normal Curvature, Orthogonal trisections, Metric of a surface.
5.Dynamics of a rigid body.Hamilton equations of motions, Principle of conservation of energy, Motions of a rigid body in two dimensions.
6.Linear Algebra.Matrix, Eigenvectors, Determinants, Orthogonality, unitary transformation, Linear transformation, Principal axis theorem.
7.Topology.Product Space, Harsdorf space, separation axioms, Topological Space, Closure of a set, general Product space.
8.Special Functions.Euler Equation, Gauss Hypergeometric, hermit Polynomial, Calculus of variations, Functions, Kummer’s confluent  Hypergeometric.
9.Differential Geometry and tensors.Gauss bonnet theorem, Involutes, Tensor analysis, Kronecker delta, geodesics, geodesic curvature and torsion, Gauss’s formula, Matrix tensor, Riemann Christoffel tensor.
10.Hydrodynamics.Irrotational motion in two dimensions, Kelvin’s minimum energy theorem, Kinematics of an ideal fluid, Euler Hydrodynamics equations.
11.Number Theory.Count-ability axioms, Order to topology, connected spaces.
12.Probability Theory.Nature of data and methods of compilations, measuring the variability of data, standard deviation, representation of data, median, measures of central tendency.
13.Field Theory.Degree field extensions, the theorem of Galois theory, Cyclotomic extensions, Lagrange’s theorem.

MSc Mathematics Subjects (Semester Ways).

First Semester.

1.    Algebra I.
2.    Real Analysis.
3.    Topology I.
4.    Ordinary Differential Equations.
5.    Discrete mathematics.
6.    Biography of eminent math’s.

Second Semester.

1.    Algebra II
2.    Complex Analysis.
3.    Topology II.
4.    Functional Analysis.
5.    Partial Differential Equations.
6.    Mathematical Modelling & Numerical Analysis I.

Third Semester.

1.    Differential Geometry.
2.    Mathematical Methods.
3.    Fluid Mechanics.
4.    Numerical Analysis II.
5.    Elective I
6.    Elective II
7.    Elective III

Fourth Semester.

1.    Measure & Integration.
2.    Elective IV.
3.    Elective V.
4.    Elective VI.

MSc mathematics subjects and syllabus cover all advanced functions of mathematics. This MSc in math’s makes you eligible for the high profile jobs like Data scientist or data analyst.

Now, for you’re more clear vision. I have mentioned the MSc mathematics syllabus details down below semester ways.

However, many colleges and institutes design the semester subjects according to education rules. But most of the institute or college follow this MSc maths syllabus patterns.

MSc Mathematics Syllabus (Semester I).

  • The Riemann (Stieltjes Integraal).
  • Theorems on principle.
  • Finite and infinite set.
  • Linear Differential equations of the order.
  • Modeling with recurrence relations.

MSc Mathematics Syllabus (Semester II).

  • First-Order Partial Differential Equations.
  • Phragmen Lindelof the theorem.
  • Second-Order Partial Differential equations.
  • Recapitulation (ring/special classes of rings).
  • The Conjugate Space H of Hilbert Space.
  • Alexandroff’s one-point compactification.

MSc Mathematics Syllabus (Semester III).

  • Abstract Group Theory.
  • Calculus on Euclidean space.
  • Numerical solution of partial differential equations.
  • Two-dimensional flows of In-viscid fluids.
  • Volterra and Fredholm Integral equations.
  • Explanation of the first and second-order (Ordinary Derivatives).

MSc Mathematics Syllabus (Semester IV).

  • Planarity (Plan & Planar graphs).
  • Lebesgue Integral.
  • Partitions.
  • Riemannian Metric.
  • Asymptotic Values and Asymptotic Curves.
  • Convergence theorems & Lebesgue integral.

 (Bonus Information.)

MSc Mathematics Entrance Exam for Easy Admission.

For MSc mathematics admission various colleges took the entrance exam. Hence, these MSc mathematics colleges mostly conduct their own entrance exams.

Let see the most common and most popular MSc mathematics entrance exam.

IIT Jam: This is a national level entrance exam. Which allows you to get admission in top IITs of India. It takes 3 hours. And the mode of examination is CBT. As I have research in deep.

Normally they ask three types of questions to you.

  • Multiple Select.
  • Multiple Choice.
  • Numerical Answer type questions.

Nest: If you want admission in the MSc course under mathematics, biology, and chemistry. Then apply for the national entrance screening test.

Mode of examination in again CBT. And it takes 3 hours. The exam is happening every year and gets conducted by the NISER, UM-DAE-CEBS, Bhubaneswar, etc…

CUCET: This also one of the national level exam CUCET (Central Universities Common Entrance Test). Which gets conducted every year. The mode of examination is an online and offline mode. Gives 2 hours for the exam.

CMI Entrance Test: To get admission under many other undergraduate and postgraduate courses. It’s also get conducted for the subject like computer science, physics, and mathematics.

Again mode of the examination is online. Which is a great facility? Plus the exam gives you 3 hours.

Related Post:

Msc Mathematics Eligibility (Direct Admission/ Entrance exam).

MSc Mathematics Distance Learning (5 Thinks to know about).