Understanding the Calcutta University BSc Mathematics Syllabus 2026 can be difficult when the subjects, semester-wise courses and programme options are spread across different sections. Knowing the topics covered in each semester is important for planning coursework, revision and examinations effectively. The syllabus also differs based on whether Mathematics is studied as a Major, Minor or Multidisciplinary Course.
The official University of Calcutta syllabus outlines the Mathematics curriculum under the Curriculum and Credit Framework (CCF). It covers courses from foundational topics such as Calculus and Basic Algebra to advanced areas including Real Analysis, Group Theory, Mechanics, Complex Analysis, Numerical Analysis and other mathematical subjects across the semesters.
Understanding the course duration, semester pattern, credit distribution and available Mathematics pathways is important before reviewing the individual subjects. The official document distinguishes between the four-year Mathematics Major programme, Mathematics Minor programme and three-year Multidisciplinary Course.
| Particular | Details |
| University | University of Calcutta |
| Course | B.Sc. Mathematics |
| Framework | Curriculum and Credit Framework (CCF) |
| Mathematics Major Duration | 4 Years |
| Total Semesters for Major | 8 |
| Mathematics Major | B.Sc. Honours / Honours with Research |
| Mathematics Minor | Available under the four-year programme |
| Multidisciplinary Course | Three-year, six-semester course |
| Major DSCC Credits | 88 |
| Major DSCC Courses | 22 |
| Major DSCC Course Credit | 4 credits each |
| Summer Internship | Applicable under the prescribed framework |
| Research Option | Honours with Research includes Research Methodology, Research Internship and Dissertation/Project |
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The official document lists a total of 172 credits for the four-year Honours/Honours with Research framework, including Major, Minor, IDC, AEC, SEC, CVAC and other components.
Across eight semesters, the Mathematics Major curriculum covers fundamental and advanced areas, including Calculus, Algebra, Analysis, Mechanics, Complex Analysis, Topology and Functional Analysis. The courses progress from foundational concepts in the initial semesters to specialised mathematical topics in later semesters.
| Semester | Paper Code | Mathematics Major Subject | Credits |
| Semester I | MTHM-DSCC 1 | Calculus, Geometry & Vector Analysis | 4 |
| Semester II | MTHM-DSCC 2 | Basic Algebra | 4 |
| Semester III | MTHM-DSCC 3 | Real Analysis | 4 |
| Semester III | MTHM-DSCC 4 | Ordinary Differential Equations-I & Group Theory-I | 4 |
| Semester IV | MTHM-DSCC 5 | Theory of Real Functions | 4 |
| Semester IV | MTHM-DSCC 6 | Mechanics-I | 4 |
| Semester IV | MTHM-DSCC 7 | Multivariate Calculus-I & Partial Differential Equation-I | 4 |
| Semester IV | MTHM-DSCC 8 | Group Theory-II & Ring Theory-I | 4 |
| Semester V | MTHM-DSCC 9 | Probability & Statistics | 4 |
| Semester V | MTHM-DSCC 10 | Ring Theory-II & Linear Algebra-I | 4 |
| Semester V | MTHM-DSCC 11 | Riemann Integration & Series of Functions | 4 |
| Semester V | MTHM-DSCC 12 | Mechanics-II | 4 |
| Semester VI | MTHM-DSCC 13 | Metric Space & Complex Analysis-I | 4 |
| Semester VI | MTHM-DSCC 14 | Multivariate Calculus-II & Applications of Calculus | 4 |
| Semester VI | MTHM-DSCC 15 | Numerical Analysis | 4 |
| Semester VII | MTHM-DSCC 16 | Group Theory-III & Linear Algebra-II | 4 |
| Semester VII | MTHM-DSCC 17 | Complex Analysis-II & Measure Theory-I | 4 |
| Semester VII | MTHM-DSCC 18 | Generalised Functions, Integral Transforms & Integral Equations | 4 |
| Semester VII | MTHM-DSCC 19 | Topology-I | 4 |
| Semester VII | MTHM-DSCC 20 | Functional Analysis-I | 4 |
| Semester VIII | MTHM-DSCC 21 | Ordinary Differential Equation-II & Partial Differential Equation-II | 4 |
| Semester VIII | MTHM-DSCC 22 | Graph Theory | 4 |
| Semester VIII | MTHM-DSCC 23.1 / 23.2 | Mechanics-III or Measure Theory-II | 4 |
| Semester VIII | MTHM-DSCC 24.1 / 24.2 | Operations Research & Stochastic Process or Differential Geometry | 4 |
| Semester VIII | MTHM-DSCC 25.1 / 25.2 | Fluid Mechanics & Computational Mathematics or Functional Analysis-II & Topology-II | 4 |
Also Check, B.Sc Mathematics 1st Semester Syllabus
First year covers Semesters I and II of the Mathematics Major programme. The two core Mathematics papers are Calculus, Geometry & Vector Analysis and Basic Algebra. The first year also includes Skill Enhancement Course components.
| Semester | Mathematics Subject | Credits |
| Semester I | Calculus, Geometry & Vector Analysis | 4 |
| Semester II | Basic Algebra | 4 |
The Semester I syllabus also lists C Language with Mathematical Applications as the Major SEC. In Semester II, the SEC option includes Python Programming & Introduction to Latex or Artificial Intelligence, subject to the prescribed provisions.
Students also exploring the University of Delhi curriculum can check the DU BSc Mathematics Syllabus for its semester-wise Mathematics subjects and course details.
Second year covers Semesters III and IV. Mathematics major courses during this stage include Real Analysis, Ordinary Differential Equations-I & Group Theory-I, Theory of Real Functions, Mechanics-I, Multivariate Calculus-I & Partial Differential Equation-I, and Group Theory-II & Ring Theory-I.
| Semester | Mathematics Major Subjects |
| Semester III | Real Analysis; Ordinary Differential Equations-I & Group Theory-I |
| Semester IV | Theory of Real Functions; Mechanics-I; Multivariate Calculus-I & Partial Differential Equation-I; Group Theory-II & Ring Theory-I |
Third year covers Semesters V and VI. These semesters introduce Probability and Statistics, Ring Theory, Linear Algebra, Riemann Integration, Mechanics-II, Metric Space, Complex Analysis, Multivariate Calculus, Applications of Calculus and Numerical Analysis.
| Semester | Mathematics Major Subjects |
| Semester V | Probability & Statistics; Ring Theory-II & Linear Algebra-I; Riemann Integration & Series of Functions; Mechanics-II |
| Semester VI | Metric Space & Complex Analysis-I; Multivariate Calculus-II & Applications of Calculus; Numerical Analysis |
Fourth year consists of Semesters VII and VIII. The coursework moves towards advanced Mathematics, including Group Theory, Linear Algebra, Complex Analysis, Measure Theory, Generalised Functions, Integral Transforms, Integral Equations, Topology and Functional Analysis.
| Semester | Mathematics Major Subjects |
| Semester VII | Group Theory-III & Linear Algebra-II; Complex Analysis-II & Measure Theory-I; Generalised Functions, Integral Transforms & Integral Equations; Topology-I; Functional Analysis-I |
| Semester VIII | Ordinary Differential Equation-II & Partial Differential Equation-II; Graph Theory; prescribed elective combinations including Mechanics-III/Measure Theory-II, Operations Research & Stochastic Process/Differential Geometry, and Fluid Mechanics & Computational Mathematics/Functional Analysis-II & Topology-II |
The fourth-year curriculum introduces several advanced areas of Mathematics. For students exploring how these subjects are covered in another university, the BHU BSc Mathematics Syllabus also provides course-wise and semester-wise subject details.
For Calculus, Geometry & Vector Analysis, the assessment includes 75 theory marks and 25 tutorial marks, with questions covering Calculus, Geometry and Vector Analysis. For the Mathematics Major DSCC 1 paper, the prescribed theory pattern includes:
| Section | Question Pattern | Marks |
| Calculus | 2 out of 3 short-answer questions of 2 marks each | 20 |
| Calculus | 4 out of 6 long-answer questions of 4 marks each | |
| Geometry | 5 out of 8 questions of 7 marks each | 35 |
| Vector Analysis | 2 out of 3 short-answer questions of 2 marks each | 20 |
| Vector Analysis | 4 out of 6 long-answer questions of 4 marks each |
The official syllabus specifies the detailed question pattern separately for individual DSCC papers, so students should check the pattern applicable to their particular semester and paper.
The University of Calcutta provides the Mathematics syllabus PDF under the Curriculum and Credit Framework (CCF), covering the Mathematics Major, Minor and Multidisciplinary Course along with course details, credits, topics, references and examination patterns.
Mathematics at the undergraduate level requires regular problem-solving along with conceptual understanding. Use the semester-wise syllabus to divide the coursework and revise each paper systematically.
Read the prescribed topics before beginning detailed revision.
Maintain separate formula and theorem notes for each paper.
Practise problems after completing each major concept.
Give additional practice to proof-based and numerical questions.
Use the official question pattern to understand the marks assigned to different question types.
Revise previously completed topics at regular intervals.
For advanced papers, practise writing complete mathematical steps instead of relying only on final answers.
A clear view of the semester-wise Mathematics courses helps in understanding the subjects covered throughout the programme. The Calcutta University BSc Mathematics syllabus includes foundational and advanced topics across the Major, Minor and Multidisciplinary courses. Refer to the official syllabus PDF for detailed course content, credits and examination-related information.
