Program Details

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 program aligned with NEP 2020, built around academic flexibility, multidisciplinary learning and outcome-based progression. The program runs across eight semesters (up to 20 credits each) 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.

Applied Mathematics Focus: Designed for learners who want to use mathematics to solve real-world problems across science, engineering, technology, finance and data-driven domains. It blends mathematical modelling, computation and analysis, with strong exposure to numerical methods, optimisation and data analysis, preparing students for industry roles, interdisciplinary research and applied postgraduate study.

Program Highlights

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).
Applied track built around modelling + computation + problem-solving for practical, interdisciplinary challenges.
Strong foundation for industry-facing roles and research-led applied pathways.

Industry Trends & Career Opportunities

Applied Mathematics is increasingly central to data-driven decision-making and complex system design. Graduates are well-suited for roles in data analytics, business intelligence, financial modelling, risk analysis and actuarial pathways, as well as technical opportunities in engineering, manufacturing, energy and technology-driven industries where optimisation and modelling skills are critical. The specialisation also aligns well with roles in R&D organisations and scientific laboratories, and supports progression to higher studies in Applied Mathematics, Data Science, Computational Science and interdisciplinary programs.

Typical roles include:

Data Analyst / Business Analyst
Quantitative Analyst (Finance, Risk, Insurance)
Operations Research Analyst
Actuarial Analyst
Research Associate (R&D)

Placements

Graduates typically progress into analytical and quantitative roles across industry and R&D, with career pathways that leverage numerical methods, optimisation and applied modelling in business, finance and technology-focused sectors.

Fee Structure

Click here for detailed Fee Structure.

Curriculum

Program Duration: 4 Years (8 Semesters)

Total Credits: 160

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

Pedagogy: Lectures, Labs, Projects

Course Title	L	T	P	C
Differential Calculus	3	0	1	4
Linear Algebra I	3	1	0	4
Abstract Algebra-Group Theory	2	0	0	2
Minor I	4	0	0	4
Environment Sustainability & Climate Change	2	0	0	2
Managing Self	2	0	0	2
Computational Techniques	2	0	0	2

,

Semester 2

Course Title	L	T	P	C
Real Analysis I	3	1	0	4
Integral Calculus	3	1	0	4
Analytical Geometry	3	1	0	4
Minor-II	4	0	0	4
Environment Sustainability & Climate Change (Living Lab)	0	0	2	2
Time and Priority Management	2	0	0	2

,

Semester 3

Course Title	L	T	P	C
Ordinary Differential Equation	3	0	1	4
Real Analysis II	3	1	0	4
Linear Algebra II	3	1	0	4
Skill Enhancement Course I (Elective)	2	0	0	2
Minor-III	4	0	0	4
Communication Skills (Oral)	2	0	0	2
Social Internship	0	0	0	0

,

Semester 4

Course Title	L	T	P	C
Partial Differential Equations	3	0	1	4
Complex Analysis I	3	1	0	4
Abstract Algebra-Ring Theory	3	1	0	4
Skill Enhancement Course II (Elective)	2	0	0	2
Minor-IV	4	0	0	4
Communication Skills (Written)	2	0	0	2

,

Semester 5

Course Title	L	T	P	C
Probability and Statistics	3	1	0	4
Number Theory	3	1	0	4
Minor-V	4	0	0	4
Working with People	2	0	0	2
Technologies of Future	2	0	0	2
Summer Internship	0	0	5	5
Scientific Communication	1	0	0	1

,

Semester 6

Course Title	L	T	P	C
Mathematical Modelling	3	1	0	4
Numerical Analysis	3	0	1	4
Linear Programming	3	1	0	4
Minor-VI	4	0	0	4
Deepening Self	2	0	0	2

,

Semester 7

Course Title	L	T	C
Vector Calculus	2	1	3
Discrete Mathematics	3	1	4
Elective I	3	1	4
Elective II	3	1	4
Minor-VII	4	0	4

,

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

Course Title	L	T	P	C
Integral Equation & Calculus of Variation	3	1	0	4
Functional Analysis	3	0	0	3
Elective III	3	1	0	4
Minor-VIII	4	0	0	4
Dissertation	0	0	6	6

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

Course Title	L	T	P	C
Elective III	3	1	0	4
Minor-VIII	4	0	0	4
Dissertation	0	0	13	13

Elective: Pure Mathematics

Real Analysis III
Metric Spaces
Advanced Abstract Algebra
Non-Linear Programming
Non-Linear ODEs & Systems
Integral Transforms
Complex Analysis II

Skill Enhancement Electives

Operating System: Linux
Introduction to R
Set Theory & Mathematical Logic
Mathematical Finance
Graph Theory
Introduction to MATLAB Programming
Latex and HTML
Introduction to Python

Eligibility

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.

Selection Criteria

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

BSc. (Hons.) Mathematics/B.Sc. (Hons.) Mathematics by Research

Further Information