## MSc Mathematics Syllabus and Subjects:

MSc Mathematics subjects and syllabus is considered to be one of the toughest. MSc Mathematics course syllabus and subjects cover all the topics related to mathematics from basics to advanced mathematics. These topics help MSc Mathematics graduates to learn more about mathematics. For jobs like Data Scientist, Data Analyst, Professor knowing all these topics are very much important to build a good career in the field of mathematics.

More thorough you are with the syllabus and subjects, much better the career will be.

## MSc Mathematics Syllabus:

MSc Mathematics syllabus covers topics from differential equations to calculus. Some of the basic topics in mathematics such as statistics are also covered in the syllabus. All the 4 semesters syllabus is mentioned below:

MSc Mathematics Syllabus - Semester I

• Theorems on Principle, Maximal and Prime Ideals
• The Riemann – Stieltjes Integral
• Isomorphism Theorems and its Related Problems
• Finite and Infinite Sets
• Linear Differential Equations of nth Order
• Modelling with Recurrence Relations with Examples of Fibonacci Numbers

MSc Mathematics Syllabus - Semester II

• Recapitulation: Rings, Some Special Classes of Rings
• Phragmen-Lindel of theorem
• Alexandroff ’s One Point Compactification
• First-Order Partial Differential Equations
• Second-Order Partial Differential Equations
• The Conjugate Space H* of a Hilbert Space

MSc Mathematics Syllabus - Semester III

• Calculus on Euclidean Space
• Volterra and Fredholm Integral Equations
• Two-dimensional Flows of Inviscid Fluids
• Numerical Solution of Partial Differential Equations
• Meaning of First and Second-order Ordinary Derivatives
• Abstract Group Theory

MSc Mathematics Syllabus - Semester IV

• Lebesgue Integral
• Convergence Theorems and Lebesgue Integral
• Riemannian Metric. Connections. Riemannian Connections and their Components
• Partitions: Deﬁnition of Partition of a +ve Integer
• Asymptotic Values and Asymptotic Curves
• Planarity:- Plane and Planar Graphs

## MSc Mathematics Subjects:

Subjects are an important part of any course. MSc Mathematics subjects deal a lot of tough part of mathematics. MSc Mathematics subjects are considered to be one of the toughest subjects there is. All those subjects are mentioned below according to the semesters:

MSc Mathematics Subjects - Semester I

• Algebra - I
• Real Analysis
• Topology - I
• Ordinary Differential Equations
• Discrete Mathematics
• A Brief Biography of Eminent Mathematicians and the History of Mathematics

MSc Mathematics Subjects - Semester II

• Algebra - II
• Complex Analysis
• Topology - II
• Functional Analysis
• Partial Differential Equations
• Mathematical Modelling and Numerical Analysis - I

MSc Mathematics Subjects - Semester III

• Differential Geometry
• Mathematical Methods
• Fluid Mechanics
• Numerical Analysis - II
• Elective I
• Elective II
• Elective III

MSc Mathematics Subjects - Semester IV

• Measure And Integration
• Elective IV
• Elective V
• Elective VI