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Details
M.Sc. Mathematics is a 2-year postgraduate program. The objective of this program is to cultivate a mathematical aptitude and nurture the interests of students towards problem-solving. Further, it aims at motivating students for research in pure and applied mathematics.
Pure Mathematics includes developing the fundamental tools used by mathematicians such as Algebra and Calculus, describing multi-dimensional space, or a better understanding of the philosophical meaning of Mathematics and numbers themselves. Pure Mathematics is the study of the basic concepts and structures that underlie Mathematics. Its purpose is to search for a deeper understanding and an expanded knowledge of Mathematics itself.
Applied Mathematics focuses on the innovative creation and imaginative use of mathematical concepts to present and solve problems in the various field of Natural Sciences, Engineering Sciences, Medical Sciences, and emerging fields such as Data Sciences and Artificial Intelligence. The program is designed to provide students with an increased knowledge and a comprehensive understanding of Mathematics, particularly in Algorithms, Fluid Mechanics, Differential Equations, Probability and Stochastics, and Optimisation.
Duration
2 Years (4 semesters)
DESIGN YOUR OWN DEGREE
UPES’ curriculum framework is holistic in its overall structure and yet focuses on the individual need of the student to discover, experience, explore and challenge. Along with the core subject, students have the option to choose from subject-focused specialisations. They are also allowed to choose minor/exploratory subject from other schools at UPES that are: School of Engineering, School of Computer Science, School of Law, School of Business, School of Health Sciences, School of Design, School of Modern Media, and School of Liberal Studies.
Further, based on the multifaceted needs of the global workplace and evolving lifestyles, the curriculum offers Signature and Life-Skills courses through School for Life. To round off this learning experience, students are required to do mandatory internships in the social sector, government/public sector, and industry. The combinations available for students to pick and choose from are endless, ensuring both depth and width of knowledge.
Details
| PEO-1: | To train students to appreciate theoretical, conceptual, and computational knowledge of mathematics to model and solve multiple challenging problems in a diversified interdisciplinary and multidisciplinary environment. |
| PEO-2: | To provide knowledge of the highest standards in Mathematics so that the students can utilise significant opportunities in various service sectors, and can work as Scientists, Data Analysts, and Faculty in academic and research organisations. |
| PEO-3: | To engage students in independent and lifelong learning and guide them to consistently explore, learn, and adapt new skills that will help them in enhancing their knowledge and professional growth. |
| PEO-4: | To encourage students to be committed towards ethical practices and the development of society. |
| PSO-1: | Understand the advanced mathematical concepts and applications in the field of Algebra, Analysis, Computational Techniques, Optimisation, Differential Equations and Engineering. |
| PSO-2: | Demonstrate advanced understanding of techniques in algebra, analysis, computational techniques, optimisation, differential equations, and engineering to analyse and design algorithms solving a variety of problems related to real-life problems. |
| PSO-3: | Execute new ideas in research and developments in mathematics through seminar and dissertations. |
- Scientific Officer
- General Management
- Manual Testing
- Data Science Modelers
- Investment Banking
- Statistical Research
- Junior Research Fellow
M.Sc. Mathematics Specialisation in Pure Mathematics
Curriculum (2023 – 2025)
SEMESTER I
| Category | Course | Credits |
| M | Real Analysis | 4 |
| M | Abstract Algebra | 4 |
| M | Linear Algebra | 4 |
| M | Theory of Ordinary Differential Equations | 4 |
| M | Mathematical Statistics | 4 |
| M | Integral Equations and Calculus of Variations | 4 |
| Total | 24 |
SEMESTER II
| Category | Course | Credits |
| M | Complex Analysis | 5 |
| M | Topology | 4 |
| M | Theory of Partial Differential Equations | 4 |
| M | Computational Mathematics | 3 |
| M | Computational Mathematics Lab | 2 |
| M | Specialisation Course I (Pure Mathematics/Applied Mathematics) | 4 |
| Total | 22 |
SEMESTER III
| Category | Course | Credits |
| M | Operations Research | 5 |
| M | Functional Analysis | 5 |
| M | Mechanics | 4 |
| M | Specialisation Course II (Pure Mathematics/Applied Mathematics) | 4 |
| M | Research Methodology & Ethics | 3 |
| M | Dissertation I | 4 |
| Total | 25 |
SEMESTER IV
| Category | Course | Credits |
| M | Specialisation Course III (Pure Mathematics/Applied Mathematics) | 4 |
| M | Dissertation II | 10 |
| Total | 14 |
SPECIALISATION
| Differential Geometry |
| Measure and Integration |
| Multivariate Analysis |
| Number Theory |
| Commutative Algebra |
| Theory of Operators |
| Representation of Finite Group |
| Approximation Theory |
| Algebraic Topology |
We, at the department, believe in experiential teaching and learning and strive to imbibe problem-solving skills and critical thinking in students. The following practices are in place to improve the quality of teaching-learning and student experience:
- Design and review of individual course plans at the beginning of session
- Course Completion Report (CCR)
- Academic planning and monitoring
- Real-world/Project-based assignments
- Quality laboratory experience
- Encouraging advanced learner
- Slow learners support
- ICT-enabled classroom (sound system, mic and projector)
- Guest lectures from industry experts
- Industry-led courses
- Certification courses
- Professional Software Training (PST) and Certification
- NPTEL lectures
- Prototype development
- Use of virtual labs
- Participation in competitive events (in-house/national/international)
Participation in conferences/seminars/workshops (national/international)
Minimum 50% in Class X and XII (PCM/B) and 50% in graduation in relevant subject
Personal Interview
Details
PROGRAM EDUCATIONAL OBJECTIVES (PEOs)
| PEO-1: | To train students to appreciate theoretical, conceptual, and computational knowledge of mathematics to model and solve multiple challenging problems in a diversified interdisciplinary and multidisciplinary environment. |
| PEO-2: | To provide knowledge of the highest standards in Mathematics so that the students can utilise significant opportunities in various service sectors, and can work as Scientists, Data Analysts, and Faculty in academic and research organisations. |
| PEO-3: | To engage students in independent and lifelong learning and guide them to consistently explore, learn, and adapt new skills that will help them in enhancing their knowledge and professional growth. |
| PEO-4: | To encourage students to be committed towards ethical practices and the development of society. |
PROGRAM-SPECIFIC OUTCOMES (PSOs)
| PSO-1: | Understand the advanced mathematical concepts and applications in the field of Algebra, Analysis, Computational Techniques, Optimisation, Differential Equations and Engineering. |
| PSO-2: | Demonstrate advanced understanding of techniques in algebra, analysis, computational techniques, optimisation, differential equations, and engineering to analyse and design algorithms solving a variety of problems related to real-life problems. |
| PSO-3: | Execute new ideas in research and developments in mathematics through seminar and dissertations. |
CAREER PROSPECTS
- Scientific Officer
- General Management
- Manual Testing
- Data Science Modelers
- Investment Banking
- Statistical Research
- Junior Research Fellow
CURRICULUM
M.Sc. Mathematics Specialisation in Pure Mathematics
Curriculum (2023 – 2025)
SEMESTER I
| Category | Course | Credits |
| M | Real Analysis | 4 |
| M | Abstract Algebra | 4 |
| M | Linear Algebra | 4 |
| M | Theory of Ordinary Differential Equations | 4 |
| M | Mathematical Statistics | 4 |
| M | Integral Equations and Calculus of Variations | 4 |
| Total | 24 |
SEMESTER II
| Category | Course | Credits |
| M | Complex Analysis | 5 |
| M | Topology | 4 |
| M | Theory of Partial Differential Equations | 4 |
| M | Computational Mathematics | 3 |
| M | Computational Mathematics Lab | 2 |
| M | Specialisation Course I (Pure Mathematics/Applied Mathematics) | 4 |
| Total | 22 |
SEMESTER III
| Category | Course | Credits |
| M | Operations Research | 5 |
| M | Functional Analysis | 5 |
| M | Mechanics | 4 |
| M | Specialisation Course II (Pure Mathematics/Applied Mathematics) | 4 |
| M | Research Methodology & Ethics | 3 |
| M | Dissertation I | 4 |
| Total | 25 |
SEMESTER IV
| Category | Course | Credits |
| M | Specialisation Course III (Pure Mathematics/Applied Mathematics) | 4 |
| M | Dissertation II | 10 |
| Total | 14 |
SPECIALISATION
| Differential Geometry |
| Measure and Integration |
| Multivariate Analysis |
| Number Theory |
| Commutative Algebra |
| Theory of Operators |
| Representation of Finite Group |
| Approximation Theory |
| Algebraic Topology |
INNOVATIVE TEACHING AND LEARNING
We, at the department, believe in experiential teaching and learning and strive to imbibe problem-solving skills and critical thinking in students. The following practices are in place to improve the quality of teaching-learning and student experience:
- Design and review of individual course plans at the beginning of session
- Course Completion Report (CCR)
- Academic planning and monitoring
- Real-world/Project-based assignments
- Quality laboratory experience
- Encouraging advanced learner
- Slow learners support
- ICT-enabled classroom (sound system, mic and projector)
- Guest lectures from industry experts
- Industry-led courses
- Certification courses
- Professional Software Training (PST) and Certification
- NPTEL lectures
- Prototype development
- Use of virtual labs
- Participation in competitive events (in-house/national/international)
Participation in conferences/seminars/workshops (national/international)
Eligibility
Minimum 50% in Class X and XII (PCM/B) and 50% in graduation in relevant subject
Selection Criteria
Personal Interview
