B.Sc Maths Honours syllabus consists of core and elective subjects. B.Sc in Maths honours aims to impart knowledge of mathematics, statistics, research, and many more. In addition, the B.Sc Maths Honours course opens a gateway to the mathematical world, allowing the students to learn and analyze the working performances, limit and continuity functions, partial differential equations, and many more.

Semester Wise B.Sc Mathematics Honours Syllabus

The main subjects in B.Sc Maths Hons include calculus, mechanics, algebra, geometry, and much more. The curriculum is divided into four parts, foundation, core, elective, and projects. They are:

B.Sc Maths Honours First Year Syllabus 

Semester I

Semester II

Calculus

Mechanics I

Geometry

Differential Equations I

Algebra I

Algebra II

B.Sc Maths Honours Second Year Syllabus  

Semester III

Semester IV

Mechanics II

Vector Analysis

Differential Equations II

Differential Equations III

Analysis I

Analysis II

 B.Sc Maths Honours Third Year Syllabus 

Semester V

Semester VI

Numerical Methods

Probability Theory

Numerical Methods Practical using C

Linear Programming and Optimization

Algebra III

Algebra IV

Analysis III

Analysis IV

B.Sc Mathematics Honours Subjects 

There are many relevant subjects in B.Sc Maths Honours necessary for a student to pursue a degree related to Mathematics. Some of the subjects are from two classes, such as differential equations, algebra, and real functions. Along with it, some new topics are also covered in the course. Let's see in detail what all are the B.Sc. Honours Mathematics Subjects. General topics covered in the course of B.Sc Maths Honours are:

Core Subjects:

  • Differential Calculus
  • Real Analysis
  • Algebra
  • Differential Equations
  • Theory of Real functions
  • Ring Theory & Linear algebra

Elective Subjects:

  • Linear Programming
  • Complex Analysis
  • Numerical Methods
  • Linear Algebra
  • Mechanics
  • Matrices

B.Sc Mathematics Honours Course Structure

B.Sc Maths Honours course is structured as a core and elective subject. The course is divided into Six semesters comprising an introduction of all maths basics in the first year. The course focuses on physics and math. The aspirants can choose electives based on their specialization and areas of interest and submit research-based practical projects at the end of the VI th semester. The course structure is:

  • VI Semesters
  • Core and Elective subjects
  • Internship
  • Project Submission

The scope after B.Sc Maths Hons is vast. The aspirants can look for jobs in educational firms and other research departments. There are also numerous offers for the topmost postings in the government firms such as State Bank Of India(SBI) and Indian Space Research Organization(ISRO)

B.Sc Mathematics Honours Teaching Methodology and Techniques

B.Sc Maths Honours encompasses different teaching methods. Apart from the basic traditional lecture-based training, the students are trained to aid in mathematical labs, group projects, and other action-based learning methods. Students can work as a team for the final year project that provides practical solutions to the mathematical challenges. The research project motivates the aspirants for deeper research, understanding others' perceptions, brainstorming, and teamwork. In short, the teaching methodology and techniques are:

  • Practical Sessions
  • Group Projects
  • Case Methodology
  • Workshop
  • Lectures
  • Statistics

B.Sc Mathematics Honours Projects

Students can take up B.Sc Mathematics Hons projects on different topics such as estimation of matrix, sampling, stability analysis of ecosystem model, etc. The project motivates the student's aspirants to develop the skills in designing, developing, building all sorts of mathematical tools, machines, and devices.

Popular B.Sc Maths Honours projects are:

  • Statistical model selection with a focus on high dimensional -data
  • Efficient Sampling in Bayesian models
  • A statistical estimation of Matrix Analytic Queuing Model
  • Optimization using statistical models

B.Sc Maths Honours Reference Books

Several books act as a reference for the students pursuing B.Sc Maths Honours. Reference books are so helpful for the students. It will provide additional knowledge about some of the relevant topics covered in the course and helps the students with additional knowledge. Some of the best books for B.Sc Maths Hons are:

B.Sc Mathematics Honours Books 

Books

Author

Basic Abstract Algebra

Bhattacharya

Calculus and Analytic Geometry

GB Thomas and RL Jinney

Functional Analysis and Applications

S. Kesavan

Contemporary Abstract Algebra

Joseph A. Gallian

Calculus: Single and Multivariable

Hughes - Hallet

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