B. Sc. in Mathematics

The B.Sc. (Hons.) Mathematics / B.Sc. (Hons.) Mathematics by Research at UPES School of Advanced Engineering (Applied Sciences Cluster) is a four-year undergraduate programme aligned with NEP 2020, offering academic flexibility, multidisciplinary learning and outcome-based progression. The programme runs across eight semesters (up to 20 credits per semester) with multiple entry and exit options—students may exit after 120 credits with an undergraduate degree, or complete 160 credits to earn either B.Sc. (Hons.) Mathematics or B.Sc. (Hons.) Mathematics by Research. The Research pathway includes research methodology, supervised research and a defended dissertation evaluated by an expert panel, and the four-year degree supports direct PhD entry (with coursework) in India and abroad, as per norms.

Pure Mathematics Focus: Designed for students drawn to abstraction, proof and theoretical depth, the Pure Mathematics specialisation builds the core structures underpinning advanced mathematics and allied disciplines. It emphasises axiomatic, proof-based learning and develops logical reasoning, rigour and mathematical maturity, preparing students strongly for higher study and research-led careers.

• NEP 2020-aligned four-year structure with multiple entry/exit options and lateral entry as per norms.
• Two outcomes: B.Sc. (Hons.) Mathematics or B.Sc. (Hons.) Mathematics by Research (with defended dissertation).
• Pure Mathematics pathway built around proof, abstraction and rigorous foundations.
• Strong preparation for research degrees and academic careers through advanced theoretical progression.

Pure Mathematics is increasingly valued where deep theory drives real-world breakthroughs—especially in cryptography, cybersecurity and advanced algorithm design. Core areas such as abstract algebra, topology and functional analysis are gaining relevance in quantum computing and information theory, while pure mathematical frameworks continue to underpin interdisciplinary research across data science, physics and computer science. Globally, research-intensive institutions and think tanks continue to seek graduates with strong theoretical training and the ability to work with complex, abstract structures.

Typical pathways include:

• Research Assistant / Junior Research Fellow (JRF)
• Doctoral Research Scholar (PhD)
• Assistant Professor / Lecturer
• Postdoctoral Researcher
• Mathematics Content Developer
• Civil Services and other competitive examinations

Students typically progress into research and academia-oriented roles, higher studies (including PhD tracks), and knowledge-led careers that value proof-based reasoning and advanced theoretical capability, alongside competitive examinations and content/academic support roles.

Click here for detailed Fee Structure.

Program Duration: 4 Years (8 Semesters)

Total Credits: 160

Structure: Core Courses +Minor+ Electives + Projects/Dissertation

Pedagogy: Lectures, Labs, Projects

Semester 2

Semester 3

Semester 4

Semester 5

Semester 6

Semester 7

Semester VIII - B.Sc. (Hons.) Mathematics 

Students who wish to apply must satisfy the predetermined minimum eligibility requirements of minimum 50% marks in Classes X and XII (Any Board) with Mathematics.

The selection criteria for individuals are determined by their individual Board Merit followed by their performance in an interview/counselling. 

To opt the minors, please choose the minors from the bucket. Click here to know more.