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M.Sc. Mathematics - PURE MATHEMATICS
Program details
The M.Sc. Mathematics (Pure Mathematics) program offered by UPES School of Advanced Engineering is designed to provide students with a comprehensive and in-depth exploration of pure mathematics. The program's main focus is on developing the fundamental tools and concepts used by mathematicians, including algebra and calculus. Students will delve into multi-dimensional space and gain a better understanding of the philosophical implications and meaning of mathematics and numbers.
Throughout the course, students will engage in rigorous theoretical studies and problem-solving exercises, fostering their analytical and critical thinking abilities. The curriculum aims to equip students with the skills required to address complex mathematical challenges and contribute to the advancement of the field. The program fosters a learning environment where students can explore abstract mathematical ideas, proofs, and the underlying structures of mathematics.
Graduates of the M.Sc. Mathematics (Pure Mathematics) program from UPES School of Advanced Engineering will be well-prepared to pursue careers in academia, research institutions, or industries that value strong mathematical expertise. The program's emphasis on theoretical mathematics and deep conceptual understanding enables students to develop a solid foundation for further research and specialization in various branches of mathematics. Overall, this program offers a rewarding academic journey for those passionate about the theoretical aspects of mathematics and seeking to make significant contributions to the field's development.
Program Highlights
- Rigorous training in diverse areas of pure mathematics, encompassing algebra, analysis, topology, and number theory.
- The M.Sc. Mathematics (Pure Mathematics) program is a research-focused program and seminars are organized enabling students to conduct independent research projects with faculty guidance.
- Equipping students with theoretical knowledge, research experience, and problem-solving skills essential for pursuing doctoral-level studies.
- Graduates prepared for academic careers as researchers and professors in universities and research institutions.
- Assistance provided for job placements after completion of the program.
- Competitive Exam Preparation Support offered to students preparing for competitive exams like NET/GATE.
Future Scope / Industry Trends
The future scope of the M.Sc. Mathematics (Pure Mathematics) program is promising and diverse. With a solid foundation for academia, graduates can excel in various fields. The program equips students with abstract thinking, complex problem-solving, and logical reasoning abilities, making them valuable in finance, data science, cryptography, software development, and computer programming industries. Additionally, their analytical and problem-solving skills can open opportunities in government and policy-related roles. This versatile skill set makes M.Sc. Mathematics (Pure Mathematics) graduates well-equipped to pursue rewarding careers across a wide range of sectors, ensuring a bright and fulfilling professional future.
Career Opportunities
Completing the M.Sc. Mathematics (Pure Mathematics) program at UPES School of Advanced Engineering opens up a plethora of promising career opportunities. Graduates can venture into academia and research, pursuing roles as professors, lecturers, or research associates, contributing to the advancement of mathematical knowledge. Furthermore, with the increasing demand for data-driven decision-making, they can thrive in data science and analytics, harnessing their analytical skills to extract meaningful insights from complex datasets. Alternatively, the program equips students with programming prowess, making software development an attractive career path. For those seeking independence and innovation, becoming an entrepreneur or consultant in various industries presents a compelling avenue. Lastly, embarking on a scientific career, collaborating with researchers and institutions to solve real-world problems, remains a rewarding option for passionate mathematicians.
Placements
The M.Sc. Mathematics (Pure Mathematics) program at UPES School of Advanced Engineering offers outstanding placement opportunities for its graduates. With a strong focus on practical and theoretical aspects of pure mathematics, students are equipped with valuable skills that are highly sought after in various industries. The university's dedicated placement cell works tirelessly to connect students with leading companies, research institutions, and academic organizations, ensuring a smooth transition from academia to the professional world. UPES has a proven track record of achieving impressive placement rates, with many graduates securing lucrative positions in fields such as data science, finance, cryptography, and academia. The program's comprehensive curriculum, combined with the university's commitment to excellence, makes UPES an excellent choice for aspiring mathematicians seeking a successful and rewarding career.
Fee Structure
Click here for detailed Fee Structure.
Curriculum
Semester 1
Course | L | T | P | Credits |
---|---|---|---|---|
Mathematical Statistics | 3 | 1 | 0 | 4 |
Real Analysis | 3 | 0 | 0 | 3 |
Advanced Abstract Algebra | 3 | 0 | 0 | 3 |
Linear Algebra | 3 | 0 | 0 | 3 |
Theory of Ordinary Differential Equation | 3 | 0 | 2 | 4 |
Integral Equations and Calculus of Variations | 3 | 0 | 0 | 3 |
Total | 18 | 1 | 2 | 20 |
Semester 2
Course | L | T | P | Credits |
---|---|---|---|---|
Complex Analysis | 3 | 1 | 0 | 4 |
Topology | 3 | 1 | 0 | 4 |
Theory of Partial Differential Equations | 3 | 1 | 0 | 4 |
Computational Mathematics | 3 | 0 | 2 | 4 |
Specialization Course I | 3 | 1 | 0 | 4 |
Total | 15 | 4 | 2 | 20 |
Semester 3
Course | L | T | P | Credits |
---|---|---|---|---|
Operations Research | 3 | 1 | 0 | 4 |
Functional Analysis | 3 | 1 | 0 | 4 |
Classical Mechanics | 3 | 1 | 0 | 4 |
Specialization Course II | 3 | 1 | 0 | 4 |
Research Methodology, Ethics & Communication | 2 | 0 | 0 | 2 |
Dissertation I | 0 | 0 | 8 | 4 |
Total | 14 | 4 | 8 | 22 |
Semester 4
Course | L | T | P | Credits |
---|---|---|---|---|
Measure Theory | 3 | 1 | 0 | 4 |
Specialization Course III | 3 | 1 | 0 | 4 |
Dissertation II | 0 | 0 | 20 | 10 |
Total | 6 | 2 | 20 | 18 |
Specialization Courses
Course | L | T | P | Credits |
---|---|---|---|---|
Number Theory and Cryptography | 3 | 1 | 0 | 4 |
Non-Linear Programming | 3 | 1 | 0 | 4 |
Fluid Mechanics/Time Series and Forecasting Methods/ Statistical Inference | 3 | 1 | 0 | 4 |
Eligibility
Interested students must meet the minimum eligibility criteria for M.Sc. Mathematics (Pure Mathematics), which are as follows: 50% in 10th and 12th (PCM/B) and 50% in graduation in relevant subject.
Selection Criteria
The selection criteria for students who wish to pursue M.Sc. Mathematics (Pure Mathematics) at UPES depend on their individual performance in Personal Interview.
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