Duration of Program 4 years (8 Semesters)


Seats 10

Applied Mathematics focuses on the innovative creation and imaginative use of mathematical concepts to present and solve problems over 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 an increased knowledge and comprehensive understanding of mathematics, particularly in algorithms, fluid mechanics, differential equations, probability and stochastics, and optimisation.

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. 

PEO-4: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 Modeler,  
  • Quantitative Developer,  
  • Statistical officer,  
  • Statistician,  
  • Researcher 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    Differential Calculus  4
Core Course    Differential Calculus  Lab 1
Core Course    Algebra 5
Core Course  HSFS 1003 Environmental Science 2
Generic Elective  Option 1 Generic Elective - I (Physics/Chemistry/Geology) 6
School for life SLLS0101 Learning how to learn 2
School for life SLLS0102 Living Conversation 2
    Total 22





Category Subject Code Subject Credits
Core Course – III   Real Analysis-I 5
Core Course – IV   Integral calculus 4
    Integral calculus Lab 1
Core Course – V   Linear algebra 5
Generic Elective    (Physics/Chemistry/Geology) 6
School for life SLLS0103 Leadership & Teamwork 2
School for life SLLG0104 Critical Thinking & Writing 3
    Total 26





Category Subject Code Subject Credits
Core Course    Analytical Geometry 5
Core Course    Ordinary Differential Equations 4
Core Course    Ordinary Differential Equations Lab 1
Core Course    Complex analysis 5
Skill Enhancement Electives   --- 2
Generic Elective   (Physics/Chemistry/Geology) 6
School for life SLLS 0201 Design Thinking 2
School for life SLLS 2001 Social Internship 0
    Total 25





Category Subject Code Subject Credits
Core Course    Function of several variable & PDE 4
Core Course    Function of several variable & PDE Lab 1
Core Course    Real analysis- II 5
Core Course    Probability and Statistics 5
Skill Enhancement Electives   Skill Enhancement Electives II 2
Generic Elective    Generic Elective-I (Physics/Chemistry/Geology) 6
School for life   Working with Data 2
School for life   Ethical Leadership in the 21th Century (Human Values and Ethics) 3
    Total 28





Category Subject Code Subject Credits
Core Course    Advanced Algebra 5
Core Course    Integral Equations and Calculus of Variations 5
Core Course    Theory of ordinary differential equations 4
Program Elective   Program Elective-I 5
Program Elective   Program Elective-II 5
School for life   Persuasive Presence 2
School for life   Environment and Sustainability - Himalaya Fellowship 3
    Total 25





Category Subject Code Subject Credits
Core Course    Topology 4
Core Course    Computational Mathematics
Core Course    Computational Mathematics Lab 1
Core Course    Theory of Partial differential equations 4
Program Elective   Program Elective III 5
Specialization course    Specialization course I 4
Specialization course   Specialization course II 4
School for life   Signature course 5 3
    Total 24





Category Subject Code Subject Credits
Core Course    Functional Analysis 5
Core Course    Operation research 4
Core Course    Research and Publication Ethics  2
Core Course    Research Methodology 4
Specialization course    Specialization course III 4
Specialization course    Specialization course IV 4
Specialization course    Specialization course V 4
School for life   Signature 6 3
    Total 30





Category Subject Code Subject Credits
Dissertation   Dissertation 12
    Total 12





Number Theory and Cryptography
Stochastic Process
Formal Languages and Theory of Computation
Time Series and Forecasting Methods
Control Theory
Non-linear Programming
Fluid Mechanics
Wavelet Theory
Financial Mathematics


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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