BSc Mathematics Syllabus & Subjects 2025

The syllabus of the BSc Mathematics course places a strong emphasis on the development of Algebraic, Calculus, and Data Analysis Skills. This course is divided into three years and six semesters. Students who have completed their Class 10+2 with Mathematics as their core subject are eligible to take admission to the BSc Mathematics programme. The subjects covered under the BSc Mathematics course include Algebra, Calculus, Geometry, Statistics, Differential Equations, Probability Theory, Computer Programming, etc.

The BSc Mathematics course is offered by several colleges and universities, both in regular and distance programme modes. Once a student has completed this 3-year course, they can pursue careers in fields such as Actuarial Sciences, Statistics, Mathematical Modelling, Computer Sciences, Cryptography, and other fields. Some of the most important topics that are covered under the BSc Mathematics syllabus and subjects include Trigonometry, Vector Calculus, Complex Analysis, Differential Geometry, Graph Theory, etc. Scroll down to read about the course structure and the detailed BSc Mathematics syllabus semester-wise, here.

Related Link: Top BSc Mathematics Colleges in India 2025

The course duration of BSc Mathematics is three years. The course is further divided into a total of six semesters. The subjects of BSc Mathematics may vary from college to college, however, some core concepts remain the same. To check out the year-wise syllabus of BSc Mathematics programme, go through the list of subjects provided below:

BSc Mathematics Syllabus 1st Year: The objectives of the first year's syllabus cover important subjects and strengthen the foundation. By utilizing the geometric and calculus properties of conic sections, the main goal is to advance our understanding of planetary motion. In the first year, students are taught differential equations, applications, and mathematical modelling.

BSc Mathematics Syllabus 2nd Year: You will be taught various subjects in the second year of the course to lay the groundwork for the third year. In the second year, you will receive training in continuity, calculus, and valued function concepts. It covers basic group theories as well as a thorough examination of group symmetry.

BSc Mathematics Syllabus 3rd Year: The third year, which is the final year for BSc mathematics, covers subjects like the contour integral, metric spaces, numerical analysis, etc. Additionally, these subjects will enhance and clarify the understanding of metrics for open or closed balls and other subject areas. The study of additional knowledge for abstract algebra and its use.

Calculus:

• Sketching and tracing curves
• Vector calculations and their uses
• Applications of derivatives in graphing
• Surface areas and volumes

Algebra:

• Elementary number theory
• Equations and complex number theory
• Relations and operations of equivalence
• Metrics in row echelon format

Real analysis:

• Systems of natural numbers, R
• Inventive series characteristics
• R's sequence

Differential equations:

• Mathematical modelling and differential equations
• Model for population growth
• Higher-order and second-order differential equations
• Mathematical model analysis

Real function theories:

• Limits of functions
• Regular functions and their characteristics
• Application of Taylor's Theorem
• Derivability and how it is used

In group theory 1:

• Groups and subgroups that cycle
• Groups and their fundamental characteristics
• Homomorphism in groups
• Permutation group and Lagrange's theorem

Multiple-variable calculus

• Triple- and double-integrals
• Calculus of various variables functions
• Characteristics of the vector field and the extremes of two-variable functions
• Theorem of Gauss, Stoke, and Green's Divergence

Equations with partial differentials

• The Cauchy problem, first-order PDE Wave equations, and characteristic method
• 2nd order line PDE classification and mathematical models
• Technique for separating variables

Measurement spaces

• Topology and metric spaces
• Fundamental ideas
• Connectivity and compactness
• In metric spaces, continuity and uniform continuity

Group theory, phase II

• Attributes of automorphism
• Group effort
• Theorem of Sylow and applications
• Direct group products both internally and externally

The BSc Mathematics subjects are organised and multidisciplinary in nature, and are covered in a span of six semesters and three years of theoretical study. The general BSc Mathematics semester-wise syllabus has been tabulated below:

BSc Mathematics First Year Syllabus

The table below contains the list of BSc Mathematics subjects in the first year (semester 1 and semester 2):

BSc Mathematics Second Year Syllabus

The table below contains the list of BSc Mathematics subjects in the second year (semester 3 and semester 4):

BSc Mathematics Third Year Syllabus

The table below contains the list of BSc Mathematics subjects in the third year (semester 5 and semester 6):

Also Read: BSc (Hons) Mathematics: Eligibility, Admission, Syllabus

The subjects under the BSc Mathematics programme include calculus, algebra, data analysis, and other similar subjects. These subjects help students to advance their mathematical abilities. Calculus, trigonometry, and related theories are all thoroughly covered in the BSc Mathematics course. A total of 24 subjects are covered in a span of six semesters. The three-year, six-semester BSc Mathematics syllabus includes a multidisciplinary curriculum that covers the subject matter. There are various methods for teaching mathematics, including lectures, deductive reasoning, inductive reasoning, discovery or heuristics, problem-solving, and analytical methods. Here is a list of subjects covered in the BSc Mathematics year-wise syllabus:

The subjects taught under the BSc in Mathematics course vary from college to university. The study of geometry, trigonometry, calculus, and other related theories are covered in this course. Check out the list of BSc Mathematics subjects as given below:

Here is a list of the core subjects under BSc Mathematics:

• Calculus
• Probability
• Ring Theory
• Algebra
• Real Analysis
• Computer Application
• Metric Space
• Statistics
• Complex Analysis
• Linear Alegbra
• Communication Skills
• Numerical Methods
• Linear Differential Equations
• Analytical Geometry
• Fourier Analysis
• Group Theory
• Matrices

Check out the list of BSc Mathematics Optional Subjects as listed below:

• Mathematical Analysis
• Equational Theory of Vector Calculus
• Statistics and Probability
• Calculus-Based Finance
• Algebraic Booleans
• Getting around and game theory

The BSc Mathematics syllabus covers a wide range of topics, including conditions and intricate mathematical analysis. The course curriculum, which spans three years and/or six semesters, covers key topics including integral calculus and trigonometry, advanced calculus, algebra, and mathematical methods. The following is a discussion about the year-wise laboratory subjects for BSc Mathematics.

First-Year BSc Maths Lab Subjects

The following pointers list the first-year lab BSc Mathematics subjects:

• Computation of inverse of a matrix using Cayley- Hamilton theorem
• Introduction to Sc iLab/Maxima and commands
• Tracing of Cartesian curves

Second-Year BSc Maths Lab Subjects

The following pointers list the first-year lab BSc Mathematics subjects:

• Verification of Euler’s theorem, its extension and Jacobian
• Verification of binary operations
• Numerical methods using C programming
• Examples of Cauchy’s root test, Raabe’s and Ratio test

There aren't many colleges that provide BSc in Mathematics via distance learning. Admission to the colleges that offer distance learning is merit-based, and applications are typically submitted online. A BSc in Mathematics course fees range between INR 5,000 and INR 18,000 per year. 

Here is the BSc Mathematics syllabus for Distance Programmes as tabulated below:

Candidates who have completed their 10+2 examination with PCB/PCM/PCMB group can apply for BSc Mathematics. For admission to BSc Mathematics, entrance exams are usually held.

Some of the entrance exams for BSc Mathematics courses are listed below.

English, Mathematics, Physics, Chemistry, General Knowledge, General and Mental Ability, Current Affairs, Logical Reasoning, Numerical Ability, Simple basic application of mathematics concepts like arithmetic / algebra, trigonometry, geometry/ statistics are the topics covered under BSc Mathematics Syllabus for Entrance Exam.

Experts have compiled a list of the best reference books for students pursuing a BSc in Mathematics. These books are used by mathematics students at top universities around the world, as well as students at various institutions and schools. As shown in the table below, the following are the most recommended books for a BSc Mathematics course syllabus:

The BSc Mathematics course curriculum includes, among other things, seminars, problem-solving, practical exercises, and projects that enhance a student’s knowledge in addition to providing them with a solid grasp of mathematical theories. Check out the detailed course structure for the BSc Mathematics programme as given below:

• Practical Learning
• Project Submission
• Seminars
• Skill-Oriented courses
• VI semesters