What is the Syllabus in BSc Maths ? - B.Sc Maths
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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
