BSc Maths Syllabus, Subjects, Year Wise, Semester Wise, Books, Course Structure

B.Sc. Mathematics is an undergraduate degree in the domain of Mathematical studies. The course aims at providing knowledge about disciplines of Maths such as Calculus, Differentiation, Integration, Linear programming, etc.

B.Sc. Entrance Exams	B.Sc. Mathematics Books	Subjects in B.Sc. Maths Hons.

It is a 3-year professional degree course pursued by aspirants willing to make a career in the Mathematical domain and related disciplines.

B.Sc. Mathematics: Course Structure

The subjects of B.Sc. Mathematics course are designed in such a way that they primarily focus on developing mathematical skills in algebra, calculus and data analysis. B.Sc. Mathematics course is an amalgamation of in-depth knowledge of geometry, trigonometry, calculus and other theories.

It also explores related topics like Computer Science and Statistics. This degree course helps students in building a good foundation base for pursuing higher studies.

B.Sc. Mathematics: Syllabus Description

Year I
Topic	Description
Calculus	Differential calculus Geometrical application of differential calculus Asymptotes Integral Calculus Multiple Integrals
Probability & Statistics	Probability and theoretical distributions Transformation of random variable Testing of hypothesis Correlation and regression Statistical quality control
Analytical Solid Geometry	Analytical geometry of two dimensions Analytical geometry of three dimensions Central coincides Paraboloids Transformation of rectangular axes
Differential Equations	Solving ordinary differential calculus Differential equations with constant coefficients Formation and solving PDE Homogenous linear differential equations Laplace transforms
Year II
Topic	Description
Real Analysis	Sets and Functions Real-valued functions Equivalence, Countability Real Numbers Least upper bounds
Abstract Algebra	Preliminaries Group and commutative group Definition of subgroup and examples Definition of cyclic group Permutation
Mechanics	Friction Common catenary Impact Virtual work Moment of force
Linear Algebra	Vector spaces Inner product spaces Linear transformations Eigen values and Eigen vectors
Year III
Topic	Description
Discrete Mathematics	Relations Division algorithm Logic Graph theory
Linear Programming & Its Applications	Unear programming problem Problem formulation Types of solutions Linear programming in matrix notation
Complex Analysis	Analytical function Transformation Contour integral Taylor and Laurent theorem Evaluation of Integral
Numerical Analysis	Direct and iterative method Numerical differentiation and integration Polynomial approximation Numerical solution of ordinary differential equations Numerical solution of partial differential methods

B.Sc. Mathematics: Subjects of Study

Subjects of Study
Calculus	Analytical Solid Geometry
Probability & Statistics	Differential Equations
Real Analysis	Mechanics
Abstract Algebra	Linear Algebra
Discrete Mathematics	Complex Analysis
Linear Programming & Its Applications	Numerical Analysis

B.Sc. Mathematics: Subject Books

Name of the Book	Author
Calculus- Single and Multivariable	Hughes and Hallet
Contemporary Abstract Algebra	Joseph A. Gallian
Basic Abstract Algebra	Bhattacharya
Functional Analysis and Applications	S. Kesavan
Ordinary Differential Equations	Morris Tenenbaum and Harry Pollard
Calculus and Analytical Geometry	GB Thomas and RL Jinney
Derivatives and Integrals of Multi-variable Functions	Alberto Guzman
Numerical Analysis of Partial Differential Equations	S.H. Lui