Bachelor of Science (Honours) in Mathematics (B.Sc.)

The Bachelor of Science (Honors) in Mathematics is a three-year undergraduate course in which students acquire knowledge of advanced mathematical theories and equations. This program covers a wide range of topics, such as Calculus, Modern Cryptography, Information Theory, Network Security, Real and Complex Analysis, Abstract Algebra, Differential Equations, Number Theory, Graph Theory, and C++ Programming. It is ideal for candidates who have a keen interest in mathematical equations and abstract thinking. The Bachelor of Science (Honors) in Mathematics program is offered by the Faculty of Applied Science college.

In the B.Sc. (Honors) in Mathematics Course, laboratories play a crucial role by connecting theoretical concepts learned in the classroom with practical, real-world applications. At Future University, advanced hi-tech labs help students develop essential analytical and problem-solving skills, using advanced mathematical tools and computational techniques. In the last 10 years, the demand for STEM (Science, Technology, Engineering, and Mathematics) candidates has increased by 24%, and approximately 37,100 new jobs are expected every year. Pursuing a Bachelor of Science (Honors) in Mathematics opens the doors to a wide range of vocational opportunities.

What are the key study areas in Bachelor of Science (Honors) in Mathematics?

B.Sc. (Honors) in Mathematics has a wide range of topics in both pure and applied mathematics. Here are key areas:-

Calculus

• Key Concepts:

  • Limits, continuity, and differentiation

  • Integration techniques, definite and indefinite integrals

  • Multivariable calculus (partial derivatives, multiple integrals)

2. Linear Algebra

• Key Concepts:

  • Vectors, matrices, determinants, and eigenvalues/eigenvectors

  • Vector spaces and linear transformations

  • Systems of linear equations and their solutions

3. Abstract Algebra

• Key Concepts:

  • Groups, rings, and fields

  • Homomorphisms, isomorphisms, and cosets

  • Galois theory and its applications.

4. Probability and Statistics

• Key Concepts:

  • Probability theory, random variables, and probability distributions

  • Descriptive statistics, hypothesis testing, and inferential statistics

  • Regression analysis, Bayesian statistics, and statistical modeling

5. Real Analysis

• Key Concepts:

  • Sequences and series of real numbers

  • Limits, continuity, and differentiability in higher dimensions

  • Convergence tests and the fundamentals of integration

6. Complex Analysis

• Key Concepts:

  • Complex numbers, functions of a complex variable, and contour integration

  • Residue theory, conformal mappings, and analytic functions

  • Applications to fluid dynamics and electrical engineering

7. Differential Equations

• Key Concepts:

  • Ordinary differential equations (ODEs) and partial differential equations (PDEs)

  • Solution methods (analytical and numerical solutions)

  • Systems of differential equations and stability analysis

8. Mathematical Logic and Set Theory

• Key Concepts:

  • Propositional and predicate logic

  • Set operations, relations, and functions

  • Proof techniques (inductive, deductive, contradiction)

9. Topology

• Key Concepts:

  • Open and closed sets, continuity, compactness, and connectedness

  • Topological spaces and homeomorphisms

  • Manifolds and topological transformations

10. Number Theory

• Key Concepts:

  • Prime numbers, divisibility, and modular arithmetic

  • Diophantine equations, congruences, and cryptographic methods

  • Algebraic number theory and quadratic reciprocity

11. Combinatorics

• Key Concepts:

  • Counting principles, permutations, and combinations

  • Graph theory, combinatorial designs, and Ramsey theory

  • Algorithms and optimization in combinatorial problems

12. Mathematical Modelling and Applications

• Key Concepts:

  • Formulating real-world problems into mathematical models

  • Optimization, game theory, and simulation techniques

  • Using computational tools for solving applied problems

13. Financial Mathematics

• Key Concepts:

  • Time value of money, interest rates, and annuities

  • Financial derivatives, portfolio theory, and risk management

  • Stochastic processes and their use in finance

14. Discrete Mathematics

• Key Concepts:

  • Graph theory, logic, and combinatorics

  • Algorithms and computational complexity

  • Boolean algebra and network theory

15. Applied Mathematics and Computational Methods

• Key Concepts:

  • Numerical analysis, approximation theory, and computational methods

  • Mathematical software tools (MATLAB, Python, Mathematica)

  • Simulation techniques and real-world problem solving

100% Placement Assistance

Future University offers comprehensive placement assistance to help all graduates secure their desired job opportunities. With a dedicated placement cell, industry partnerships, and personalized career guidance, the university facilitates a seamless transition from academics to the professional world, boosting their employability.

Scope

What are the career opportunities after a Bachelor of Science (Honors) in Mathematics?

1. Data Scientist

• Role: They use statistical methods and machine learning algorithms to analyze complex data to make better organisational decisions.
• Salary Range: Rs. 6,00,000 to Rs.15,00,000 per annum 

2. Actuary

• Role: By using mathematical and statistical skills Actuaries evaluate financial risks. They work in insurance companies, pension funds, and financial institutions.
• Salary Range: Rs. 8,00,000 to Rs. 25,00,000 per annum 

3. Operations Research Analyst

• Role: To improve the organization's efficiency  Operations research analysts use mathematical models to solve optimization and decision-making problems in various industries like logistics, manufacturing, and business.
• Salary Range: Rs. 4,00,000 to Rs. 12,00,000 per annum

4. Financial Analyst

• Role: Financial analysts work on the macroeconomic and microeconomic conditions of companies. They create insightful reports by analyzing the financial data of the company.
• Salary Range: Rs. 5,00,000 to Rs. 15,00,000 per annum.

5. Statistician

• Role: Statisticians design and analyze surveys, experiments, and data collection methods.
• Salary Range: Rs. 4,00,000 to Rs. 10,00,000 per annum

6. Cryptographer

• Role: Cryptographers develop algorithms and security protocols to protect sensitive data. They work in the cybersecurity industry to ensure safe communications and transactions.
• Salary Range: Rs. 7,00,000 to Rs. 20,00,000 per annum

7. Mathematical Modeler/Research Scientist

• Role: Mathematical modelers use mathematical concepts to develop models for solving scientific and engineering problems, often working in research institutions and industries.
• Salary Range: Rs. 5,00,000 to Rs. 15,00,000 per annum

8. Mathematics Educator (Lecturer/Professor)

• Role: Mathematics graduates can teach at schools, colleges, or universities. They may also contribute to curriculum development and academic research.
• Salary Range: Rs. 3,00,000 to Rs. 12,00,000 per annum

Eligibility Criteria

Minimum 50% (45% for SC/ST) marks in 10+2 with PCM.

Admission Procedure

On the basis of Merit /CUET.