Hello Preetham

Although the 1st semester syllabus of any course depends upon institute to institute, here's an overall syllabus of what you likely will study in B.Sc 1st Sem Maths:

1. Calculus: Real Number system, Limits & Continuity, Differentiation, Definite Integrals etc

2. Algebra: Linear Independence, Matrix rank, solution of linear equation, Quadratic Forms etc

3. T rigonometry: De Moivere Theorem, Circular and hyperbolic functions, Exponential & Logarithmic Functions etc.

4. Geometry : Analytical Geometry, Direction cosines, straight lines, planes, spheres, cones, cylinders etc.

Hope this answer helps! Thank You!!!

Hello

The BSc Mathematics syllabus for the first semester in 2025 typically covers foundational subjects that build a strong base for higher-level studies. The main courses generally include algebra and calculus, often with a third component like geometry or differential equations.

Key Topics

In the algebra section, you can expect to study topics like matrices, determinants, and systems of linear equations. You may also delve into abstract algebra, including sets, relations, equivalence relations, and group theory, which introduces fundamental algebraic structures.

Calculus in the first semester usually focuses on differential calculus and its applications. This includes a review of limits, continuity, and differentiability. You'll also cover advanced topics like successive differentiation, Leibnitz's theorem, and Taylor's and Maclaurin's theorems. Another important area is the analysis of curves, which involves plotting graphs, finding curvature, and tracing parametric curves.

Some universities may also include differential equations or a part of it, such as exact differential equations and linear equations, or even geometry, which can involve the study of conics and surfaces of revolution. The syllabus often aims to blend theoretical concepts with practical applications, sometimes including lab sessions using software like SciLab or Maxima.

BSc 1st Semester Mathematics Syllabus 2025-26 (https://www.youtube.com/watch?v=by_mtr1okAk) This video provides an overview of the BSc 1st semester mathematics syllabus for 2025-26, covering topics like differential and integral calculus.