Programme Overview

The Master of Science in Mathematics is a rigorous and comprehensive postgraduate program designed to deepen students' understanding of advanced mathematical concepts and methodologies. The program offers a balanced curriculum that encompasses both pure and applied mathematics, fostering analytical thinking, logical reasoning, and research aptitude. Students engage with core areas such as Real and Complex Analysis, Abstract Algebra, Functional Analysis, Topology, Differential Equations, and Mathematical Modelling, while also exploring emerging fields like Cryptography, Fuzzy Logic, and Computational Mathematics. The program encourages critical inquiry, interdisciplinary learning, and the practical application of mathematical tools in science, engineering, data science, and industry. Through a combination of coursework, seminars, and a research-oriented dissertation, the program equips graduates with the expertise required for careers in academia, research institutions, finance, technology, and various scientific sectors, or for pursuing doctoral studies in mathematics and related disciplines.

  • 2 Years

    Duration of programme

  • Post Graduate

    Level of Study

Key Highlights

Exposure to Emerging Fields
Research-Oriented Learning
Interdisciplinary Approach
Diverse Career Pathways
Comprehensive Curriculum

How will you benefit

Gain advanced knowledge of both pure and applied mathematics for academic and professional growth.
Develop strong analytical, logical, and problem-solving skills applicable across industries.
Enhance research aptitude and interdisciplinary learning for higher studies and innovation.
Unlock diverse career opportunities in academia, research, finance, technology, and data science.

What will you study

Advanced Algebra and Number Theory

Real and Complex Analysis

Topology and Geometry

Functional Analysis and Operator Theory

  • PO-1- Post Graduates will be able to gain in-depth knowledge of advanced concepts in pure and applied mathematics, fostering critical analysis and logical reasoning.
  • PO-2- Post Graduates  will be able to develop strong analytical and problem-solving skills to address complex mathematical and real-world problems using appropriate methods.
  • PO-3- Post Graduates  will be able to conduct independent and collaborative research through literature review, hypothesis formulation, and the application of mathematical tools.
  • PO-4- Post Graduates  will be able to apply computational methods and mathematical software for modeling, simulation, and solving abstract and applied problems.
  • PO-5- Post Graduates  will be able to communicate complex mathematical ideas effectively in oral, written, and digital forms suitable for academic and professional contexts.
  • PO-6- Post Graduates  will be able to integrate mathematical knowledge with other disciplines such as physics, computer science, engineering, and economics for interdisciplinary problem-solving.
  • PO-7- Post Graduates  will be able to demonstrate advanced knowledge in specialized areas such as Real Analysis, Complex Analysis, Algebra, Topology, and Functional Analysis.
  • PO-8- Post Graduates  will be able to apply mathematical reasoning and modeling techniques to address challenges in science, technology, finance, and industry.
  • PO-9- Post Graduates  will be able to exhibit research ethics, professional integrity, and academic responsibility while contributing to mathematical knowledge.
  • PO-10- Post Graduates  will be able to use quantitative and qualitative reasoning to interpret data, validate solutions, and make informed decisions.
  • PO-11- Post Graduates  will be able to cultivate lifelong learning skills by adapting to new developments in mathematics, data science, and emerging technologies.
  • PO-12- Post Graduates  will be able to pursue higher education, research, and professional careers in academia, industry, and government sectors with confidence and expertise.

  • PSO-1- Students will have mastery of core mathematical concepts by demonstrating a strong understanding of fundamental and advanced theories in areas such as Algebra, Analysis, Topology, and Differential Equations.
  • PSO-2- Students will have the ability to apply mathematical principles and techniques to model, analyze, and solve problems in diverse fields including physics, engineering, finance, and computer science.
  • PSO-3- Students will have the capacity to formulate and investigate mathematical problems using modern tools, techniques, and theoretical knowledge, leading to original research and academic contributions.
  • PSO-4- Students will have computational and analytical skills to utilize software and mathematical programming for theoretical exploration and solving complex, data-driven or abstract problems.
  • PSO-5- Students will have preparation for higher education and careers by being well-equipped for doctoral studies, teaching, research positions, or professional roles in academia, industry, and government sectors requiring advanced mathematical expertise.
  • PSO-6- Students will have interdisciplinary competence to integrate mathematics with other sciences and technologies, enhancing their ability to address multifaceted problems.
  • PSO-7- Students will have effective communication skills to present mathematical ideas, research findings, and technical information clearly in academic, professional, and digital platforms.

  • PEO-1- To equip Post Graduates with a deep and broad understanding of advanced mathematical theories and techniques in both pure and applied domains.
  • PEO-2- To prepare students to undertake independent research, contribute to scholarly advancements, and engage in lifelong learning in mathematical sciences.
  • PEO-3- To enable Post Graduates to pursue successful careers in academia, research institutions, industry, education, or government sectors that require mathematical expertise.
  • PEO-4- To develop the ability to analyze, model, and solve complex problems using mathematical methods, logical reasoning, and computational tools.
  • PEO-5- To foster ethical awareness, academic integrity, and a sense of responsibility to apply mathematical knowledge for the benefit of society and sustainable development.

Curriculum

  • Advance Abstract Algebra-I
  • Real Analysis-I
  • Topology-I
  • Complex Analysis-I
  • Differential Equation-I

  • Advance Abstract Algebra-II
  • Real Analysis-II
  • Topology-II
  • Complex Analysis-II
  • Differential Equation-II

  • Functional Analysis-I
  • Integral Equation-I
  • Special Function-I
  • Elective –I
  • Elective –II
  • Skill Enhancement Elective Course-1

  • Functional Analysis -I
  • Elective –III
  • Elective –IV
  • Project/Internship/Dissertation/Field work & Viva Voce

CAREERS AND EMPLOYABILITY

Academic and Research Roles:
Data Scientist / Data Analyst
Quantitative Analyst (especially in finance)
Pathways to pursue doctoral studies (PhD)

ELIGIBILITY CRITERIA

B.sc in relevant discipline

ST/SC- 45% and Gen/OBC-60%

 

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Village:- Jonhiya, (Tarba - Kharba) P.O.-Mahesra, P.S.-Daru, Hazaribag– 825301 (Jharkhand) India

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info@aisectuniversityjharkhand.ac.in

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