Duration of Program 2 years (4 Semesters)


Seats 10

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. 

The full term of two years and the syllabus for the program is divided into four semesters. This Master’s program is also an ideal preparation for various PhD programs in basic sciences and engineering.  


Academic Framework

The foundation of higher learning at UPES since its inception has been to explore and promote areas of learning that are innovative and future focused. This has led to constant evolution in facilitating creative and collaborative learning engagements for students through realignment of curriculum and exploration of virtual tools, and open-source courseware; thereby creating borderless learning and access to limitless information.

The new curriculum framework at UPES, ABLE (Academic Blueprint for Learning Excellence) is holistic in its overall structure and yet focuses on the individual need of the student to discover, experience, explore and challenge. The learning is segmented into core subject studies, core specialism studies, minors/exploratory subjects, and signature and life skills learning. The latter three are offered by the newly-instituted School for Life.

SFL (School for Life) is an intrinsic part of the composite UPES student experience and facilitates learning and education that is a balance between what students want, and what is needed of them as future global citizens and leaders of tomorrow. With courses designed to equip students with lifelong learning skills, a focus on a wide range of contemporary issues, and a mandatory social and professional internship experience that is unique, UPES believes in igniting to inspire the best version within an individual to better the world.

PEO-1: Students will have significant opportunities in various service domains at national and international level, and can work as scientist, analyst, quality controller in academic and research organizations. 

PEO-2: Students will have leadership quality to handle all kind of circumstances in diversities by providing interdisciplinary and multidisciplinary learning environment. 

PEO-3: Students will be continuous learner to learn and adopt new skills and techniques to overcome the problem related with new technologies. 

PEO4: Students will be able to formulate, investigate and analyze scientifically real life problems along with ethical attitude, which works in multidisciplinary team. 

PSO-1:Understand the advanced mathematical concepts and applications in the field of algebra, analysis, computational techniques, optimization, differential equations and engineering. 

PSO-2:Demonstrate advanced understanding of techniques in algebra, analysis, computational techniques, optimization, differential equations, and engineering to analyze and design algorithms solving variety of problems related to real life problems. 

PSO-3:Execute new ideas in research and developments in mathematics through seminar and dissertation. 

⦁ Lecturer,
⦁ Assistant professor,
⦁ Mathematician,
⦁ Software developer,
⦁ Data analyst, 
⦁ Business analyst,
⦁ Risk and finance management,
⦁ Weather derivative and insurance,
⦁ Mathematical modeller,
⦁ Quantitative developer,
⦁ Statistical officer, 
⦁ Statistician,
⦁ Researcher and accountant and demographer
  • Fill Application Form
  • Screening of Application
  • Short listed student gets an invite for Personal Interview
Eligibility Criteria: Minimum 60% 10th,12th, & Graduation   

Scholarship: 50% waiver for 1st semester tuition fee on 5% seats in each program

Disclaimer: Only one category of scholarship can be availed by student, Multiple scholarship to one candidate will not be granted 



Category Subject Code Subject Credits
Core Course    Real Analysis 4
Core Course    Abstract Algebra 4
Core Course    Linear Algebra 4
Core Course    Theory of Ordinary Differential Equations 4
Core Course    Mathematical Statistics 4
Core Course    Integral Equations and Calculus of Variations 4
    Total 24





Category Subject Code Subject Credits
Core Course    Complex Analysis 4
Core Course    Topology 4
Core Course    Theory of Partial Differential Equations 4
Core Course    Computational Mathematics 3
Core Course    Computational Mathematics Lab 1
Program Elective    Program Elective I  4
Program Elective    Program Elective II 4
    Total 24





Category Subject Code Subject Credits
Core Course    Operations Research 4
Core Course    Functional Analysis 5
Program Elective    Program Elective III 4
Program Elective    Program Elective IV 4
Program Elective    Program Elective V 4
Pre PhD Course    Research and Publication Ethics  2
Pre PhD Course    Research Methodology 4
    Total 27




Category Subject Code Subject Credits
Dissertation   Dissertation 10
    Total 10



Program Electives


Differential Geometry
Algebraic Topology
Measure and Integration
Commutative Algebra
Multivariate Analysis
Theory of Operators
Representation of Finite Group
Approximation Theory
Number Theory
We at the department believe in experiential teaching and learning and strive to imbibe problem solving skills and critical thinking in the 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 & Monitoring 
  • Quality Laboratory Experience 
  • Encouraging Advanced Learner 
  • Slow Learners Support 
  • ICT enabled Classroom (sound system, mic and projector) 
  • Guest lectures  
  • Certification Courses  
  • Professional Software Training (PST) and Certification 
  • NPTEL lectures 
  • Use of Virtual labs 
  • Participation in competitive events (In-house/National/International). 
  • Participation in Conferences/Seminars/Workshops (National/International). 
  • Semester Exchange Program. 
  • FDP 

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