## B.Sc Maths Syllabus & Subjects:

The course syllabus pursued in the curriculum of the Bachelor of Science [B.Sc] (Mathematics) course is tabulated below. While minor deviations in the course syllabus may be observed in certain colleges and institutes across the nation, the core of the syllabus structure is maintained in most colleges throughout the country.

 B.Sc Mathematics - Syllabus Sl. No Calculus Geometry Abstract Algebra Differential Equations Vector algebra 1 Limits and Continuity Angles The Integers Homogeneous linear ordinary differential equation Vector spaces 2 Differentiation Circles Groups Non-homogeneous linear ordinary differential equations Elementary Properties in Vector Spaces. 3 Applications of Derivatives Coordinate Geometry Advanced Group Theory Fourier series The Rank-Nullity-Dimension Theorem 4 Integration Perimeter Rings, Integral Domains, and Fields Fourier Transforms The basis for a vector space 5 The Definite Integral Special Right Triangles More on Rings partial differential equation The dimension of a vector space 6 Concavity Pythagorean Theorem Real and Complex Numbers one dimensional wave equation Dimensions of Sums of Subspaces 7 L'Hôpital's Rule Quadrilaterals Polynomials one dimensional heat equation. Linear Transformations 8 Optimisation Polygons Field theory Boundary value problems The Null Space 9 Integrals and Transcendental Functions Triangles The fundamental theorem of Galois theory Z- transforms Range Space of a Linear Transformation 10 Hyperbolic functions Volume Nilpotent transformations Advanced Z-transforms Isomorphisms Between Vector Spaces

The subjects included in the curriculum of the B.Sc Maths course are enlisted below. While minor variations in the subject composition may be observed in the curricula of certain colleges, the subject composition as such is maintained throughout most colleges in the nation.

1. Algebra
2. Differential Calculus & Vector Calculus
3. Integral Calculus & Trigonometry
4. Vector Analysis & Geometry