BSc Mathematics: Admission 2025, Fees, Syllabus, Exams, Top Colleges, Career Scope

BSc Mathematics: An Overview

BSc Mathematics is a 3-year undergraduate program which includes specializations on mathematical theories, problem-solving techniques, and analytical reasoning. It specializes students with great interest in mathematical theories, problem-solving, and computational techniques.

Candidates should have passed 10+2 with Mathematics as the core subject with at least 50%-60% marks. The fee range varies from INR 5,000 to INR 50,000 per year in government colleges and INR 50,000 to INR 2,00,000 per year in private institutions. It is semester-based over three years with six semesters, and Honors and Integrated MSc options are also available.

Read - BSc Mathematics Syllabus

BSc Mathematics syllabus involves courses like Algebra, Calculus, Real Analysis, Numerical Methods, and Abstract Algebra through which students learn to apply analytic and logical reasoning to make decisions for different professional lines.

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BSc Mathematics Eligibility

To pursue a BSc in Mathematics, candidates should meet the following eligibility criteria:

Qualification: The candidate must pass 10+2 or equivalent from any recognized board.
Subjects Required: Mathematics must be a mandatory subject in Class 12.
Minimum Marks: Generally, a student must secure around 50-60% marks in the 12th class exam. Sometimes, for the most prominent universities, the cut-off goes up to above 60%.
Entrance Exam : Some may have entrance exams like CUET, JNU Entrance or any other state level entrance exams and some others are granted admission purely on merit.

BSc Mathematics Admission Processes

Admission process can vary from university to university, students looking to apply for the BSc Mathematics program can do so through multiple methods. Students can apply and get admission through either merit or through entrance exams. The BSc Mathematics Admission Process for students can generally go as follows:

Students can qualify themselves for the admission process in B.Sc. Mathematics by scoring good marks in a college's cut-off criteria at the 10+2 level and sometimes with an interview as well.
Another way students get admission is when they clear certain entrance exams conducted by universities/colleges such as CUET UG, GSAT, NEST and IISER along with the prescribed cut-off.
Application process begins by checking eligibility criteria of the desired colleges where students apply either online or in person. If a student satisfies the cutoffs and other eligibility factors, he/she can progress to the admissions procedure.
The finalized admission results come after the assessment of a student's application based on academic performance, merit, and other basis done by the college.

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BSc Mathematics Fees

There are various prestigious universities that provide the BSc Physics program. The course fees of colleges can also vary but range from INR 5,000-50,000. Here is a list of some of the top colleges with a breakdown of course fees:

Government Colleges: Fees range between INR 5,000 - INR 50,000 per year, making it an affordable option.
Private Colleges: Fees can go up to INR 50,000 - INR 2,00,000 per year, depending on the university’s reputation and infrastructure.

BSc Mathematics Duration

Total Duration: 3 years (6 semesters)
Course Type: Full-time or Distance learning (available at some universities like IGNOU)
Honors & Integrated Programs: Some universities are offering BSc Mathematics (Hons.) and MSc programs.

Also read - BSc Mathematics Salary

BSc Mathematics Syllabus

The syllabus contains core mathematical topics, computational approaches, and application-based contexts. Some of the core topics are presented below :

BSc Mathematics 1st Year Subjects -

Calculus
Algebra
Differential Equations
Probability & Statistics
Mathematical Logic

BSc Mathematics 2nd Year Subjects

Real Analysis
Linear Algebra
Vector Calculus
Numerical Methods
Complex Analysis

BSc Mathematics 3rd Year Subjects

Abstract Algebra
Differential Geometry
Partial Differential Equations
Operations Research
Functional Analysis

Some universities also include programming languages, like Python, C++ or ML in the curriculum to enhance computational skills.

BSc Mathematics Syllabus Subject-Wise

BSc Mathematics 1st Year -

BSc Mathematics Subjects	Details
Calculus	Concerns rate of change (differentiation) and accumulation (integration). The Fundamental Theorem of Calculus relates derivatives and integrals. Limits form the basis of calculus ideas.
Algebra	Study of mathematical symbols and rules governing them. Equations, functions, polynomials, and matrices are part of it. Vector spaces and linear transformations.
Differential Equations	Equations involving derivatives of functions. Ordinary (ODEs) or partial (PDEs) equations.
Mathematical Logic	Formal reasoning, proofs, and form of statements. Propositional logic, predicate logic, and set theory. Base for computer science, AI, and philosophy.
Probability & Statistics	Analyzes, organizes, and interprets data. Understanding decidability and computability.

Also read - MSc Maths Syllabus

BSc Mathematics 2nd Year -

BSc Mathematics Subjects	Details
Real Analysis	Real numbers, sequences, limits, continuity, and differentiability. Rigorous proofs and the foundations of calculus. Focus on sequences, series, functions, and measure theory. Preliminary to more advanced mathematics and theoretical physics.
Linear Algebra	The study of vectors, matrices, and linear transformations. Important ideas: determinants, eigenvalues, eigenvectors, and vector spaces. Computer graphics, quantum mechanics, and AI.
Vector Calculus	Calculus of vector fields in multiple dimensions. Key operations: gradient, divergence, curl, and Laplacian. Basic theorems: Green's, Stokes', and Gauss' theorems.
Numerical Methods	Methods to approximate the solutions of mathematical problems. Interpolation, numerical integration, and solving differential equations. Newton's method, Euler's method, and Gaussian elimination.
Complex Analysis	Study of functions of complex numbers. Analytic functions, Cauchy’s theorem, and residue theorem. Helps solve real integrals using contour integration.

BSc Mathematics 3rd Year -

BSc Mathematics Subjects	Details
Abstract Algebra	Abstract study of algebraic structures such as groups, rings, and fields. Homomorphisms, isomorphisms, and normal subgroups.
Differential Geometry	Calculus and linear algebra for the study of curves, surfaces, and manifolds. Metric tensors, curvature, geodesics. General relativity, computer graphics, robotics, etc.
Partial Differential Equations	Functions with more than one variable and partial derivatives. Key equations: Heat equation, Wave equation, Laplace's equation.
Operations Research	Use of mathematical models in optimization as well as the process of decision-making Linear programming, game theory, queuing theory.
Functional Analysis	Function spaces and the operators defined on this space Key concepts Banach spaces, Hilbert spaces, Fourier analysis. It finds its use in quantum mechanics, signal processing, and machine learning.

The B.Sc. Mathematics program focuses on extending knowledge beyond the confines of the classroom by making concepts learned applicable to real-life lab work. Additionally, the student who enters this program has elective options available that help improve mathematical foundation and an interdisciplinary understanding of the course taken. Examples include Mathematical Modeling, Cryptography, Data Science, and many others in areas related to student interests and career ambitions.

Also Read: BSc Salary in India

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