What is the Syllabus in BSc Maths ? - BSc Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

The Syllabus in BSc Maths is :

Calculus

Limits and Continuity

Differentiation

Applications of Derivatives

Integration

The Definite Integral

Concavity

L'Hôpital's Rule

Optimisation

Integrals and Transcendental Functions

Hyperbolic functions

Geometry

Angles

Circles

Coordinate Geometry

Perimeter

Special Right Triangles

Pythagorean Theorem

Quadrilaterals

Polygons

Triangles

Volume

Abstract Algebra

The Integers

Groups

Advanced Group Theory

Rings, Integral Domains, and Fields

More on Rings

Real and Complex Numbers

Polynomials

Field theory

The fundamental theorem of Galois theory

Nilpotent transformations

Differential Equations

Homogeneous linear ordinary differential equation

Non-homogeneous linear ordinary differential equations

Fourier series

Fourier Transforms

partial differential equation

one dimensional wave equation

one dimensional heat equation.

Boundary value problems

Z- transforms

Advanced Z-transforms

Vector algebra

Vector spaces

Elementary Properties in Vector Spaces.

The Rank-Nullity-Dimension Theorem

The basis for a vector space

The dimension of a vector space

Dimensions of Sums of Subspaces

Linear Transformations

The Null Space

Range Space of a Linear Transformation

Isomorphisms Between Vector Spaces