The Bachelor of Science (BSc) in Mathematics is a three-year undergraduate program designed to develop analytical and problem-solving skills. The first year introduces students to key concepts in pure and applied mathematics, forming a foundation for advanced studies.
Here’s a detailed breakdown of the Bsc 1st year Mathematics Syllabus and Subjects 2025.
Contents
Overview of BSc 1st Year Mathematics Syllabus
The BSc 1st Year Mathematics program is divided into two semesters, each lasting four to six months. It includes six core subjects and electives, introducing students to essential mathematical concepts.
Bsc 1st year Mathematics Syllabus and Subjects 2025
Semester-Wise Breakdown
| Semester 1 | Semester 2 |
|---|---|
| Calculus | Vector Analysis |
| Geometry | Mechanics I |
| Algebra I | Differential Equations I |
| – | Algebra II |
Core Subjects in BSc 1st Year Mathematics
Calculus
The Calculus course focuses on differential and integral calculus, preparing students for advanced mathematical applications.
Key Topics:
- Differential Calculus: Limits, continuity, Rolle’s Theorem, Mean Value Theorem, Taylor and Maclaurin’s Theorems.
- Integral Calculus: Definite integrals, Fundamental Theorem of Calculus.
- Applications: Asymptotes, concavity, convexity, plane curves, tangents, normals, arc length, and volumes of solids of revolution.
Geometry
The Geometry course covers both two-dimensional and three-dimensional analytical geometry.
Key Topics:
- 2D Geometry: Transformation of rectangular axes, systems of conics, polar equations of conics.
- 3D Geometry: Direction cosines, equations of lines, planes, spheres, and conicoids.
Algebra I & II
Algebra is split into two parts to provide a comprehensive understanding of the subject.
Algebra I:
- Matrix Theory: Systems of linear equations, row-reduced echelon matrices.
- Theory of Equations: Polynomials, root-coefficient relations, Descartes’ rule of signs.
Algebra II:
- Modern Algebra: Commutative rings, integral domains, divisibility, and Euclidean algorithm.
- Trigonometry: De-Moivre’s theorem, hyperbolic functions, and logarithms of complex quantities.
Vector Analysis
This subject introduces vector algebra and calculus, essential for physics and engineering applications.
Key Topics:
- Scalar and vector products.
- Directional derivatives, vector differentiation, and integration.
Mechanics I
Mechanics covers foundational principles of statics and dynamics.
Key Topics:
- Equilibrium of forces, friction, and virtual work.
- Centre of gravity, stable and unstable equilibrium.
Differential Equations I
This subject deals with solving ordinary differential equations.
Key Topics:
- First-order and higher-order differential equations.
- Method of variation of parameters and linear equations.
Elective Courses in BSc 1st Year Mathematics
Students can choose from the following electives to broaden their mathematical knowledge:
- Analytical Geometry
- Vector Calculus
- Theory of Equations
Recommended Books and Authors
The following books are widely used for the BSc 1st Year Mathematics syllabus:
| Subject | Book Title | Author(s) |
|---|---|---|
| Calculus | Calculus | G.B. Thomas and R.L. Finney |
| Geometry | Co-ordinate Geometry | S. L. Loney |
| Algebra I | A First Course in Abstract Algebra | John B. Fraleigh |
| Mechanics I | Statics | A.S. Ramsay |
| Differential Equations | Differential Equations | Shepley L. Ross |
Top Colleges for BSc Mathematics
Here are some top colleges offering BSc Mathematics:
| College Name | First-Year Fees (INR) |
|---|---|
| St. Stephen’s College, New Delhi | 40,780 |
| Hindu College, New Delhi | 18,560 |
| Lady Shri Ram College for Women, New Delhi | 20,370 |
| Loyola College, Chennai | 12,620 |
| Presidency College, Chennai | 1,270 |
FAQs about BSc 1st Year Mathematics
Q1: What is the syllabus of BSc 1st year Mathematics?
The syllabus includes Calculus, Geometry, Algebra I & II, Vector Analysis, Mechanics I, and Differential Equations I.
Q2: Is Mathematics in BSc 1st year difficult?
Yes, the difficulty level increases as it covers advanced topics.
Q3: What are the benefits of studying BSc Mathematics?
The program develops analytical and problem-solving skills, with career prospects in finance, data analysis, and engineering.
Q4: What is the passing mark in BSc Mathematics?
The passing mark is 35%.
Q5: Which government jobs are best after BSc Mathematics?
Opportunities include roles in public sector banks, scientific officer positions, and SSC jobs.
We hope that with the help of this article you would have got information about Bsc 1st year Mathematics Syllabus and Subjects 2025.
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