B.Sc Mathematics Honours Syllabus and Subjects

Duration: 3 Years
Avg Fees: ₹10K - 1 LPA
Roumik Roy
Roumik Roy

Updated on - Jun 19, 2023

The BSc Maths Hons syllabus is spread across six semesters over three years. B.Sc Math Honours subjects include topics such as mathematics, physics, engineering, and computer science.

The BSc Maths Honours syllabus is industry-oriented and focuses on delivering analytical skills. Hence, the job scope of BSc Maths Honours is adequate and the career options include Accountant, Statistician, Mathematician, etc.    . 

Table of Contents

Semester Wise BSc Maths Hons Syllabus

The BSc Math Honours syllabus is designed to help students succeed in their knowledge of calculus, linear algebra, differential equations, and other fundamental concepts. The semester-by-semester structure of the BSc Maths Hons syllabus is shown in the table below:

BSc Math Honours Syllabus First Year

The BSc Honours Mathematics syllabus in the first year:

Semester I

Semester II

Fundamentals of Calculus

English-II

Fundamentals of Algebra-I

Fundamentals of Algebra-II

Fundamentals of Geometry

Differential Equation-I

English-I

Discrete Mathematics-II

Discrete Mathematics-I 

Real Analysis

BSc Math Honours Syllabus Second Year

The B.Sc Math Honours syllabus in the second year:

Semester III

Semester IV

Differential Equation-II

Differential Equation-III

Basics of Probability Distributions

C Programming Language

Real Functions Theory

Basics of Vector Analysis

Calculus- Advance

Practical Work

BSc Math Honours Syllabus Third Year

Some of the subjects in BSc Maths Hons third year are given below:

Semester V

Semester VI

Numerical Methods

Advance Linear Algebra

Fundamentals of Numerical Analysis

Applications of Partial Differential Equations

Theory of Groups and Rings

Practical Work

Elective-I

Elective-III

Elective-II

Elective-IV

BSc Maths Hons Subjects 

BSc Mathematics Honours subjects are bifurcated into core and elective subjects. The subjects help students to understand concepts and develop expertise through elective subjects. Below mentioned are core and elective subjects in BSc Maths Hons:

Core B.Sc Maths Hons Subjects

Given below are core subjects in the BSc Math Honours syllabus that help students understand fundamentals of mathematical concepts application:

  • Fundamentals of Calculus
  • Fundamentals of Algebra
  • Basics of Geometry
  • Discrete Mathematics
  • Differential Equations 
  • Real Function Theory and Analysis

Elective B.Sc Maths Hons Subjects

Given below are some of the elective subjects in the BSc Math Honours syllabus that students can select according to their interests and expertise:

  • Differential Geometry
  • Industrial Mathematics
  • Differential Geometry
  • Boolean Algebra and Automata Theory
  • Graph Theory

B.Sc Maths Hons Subjects in Detail

B.Sc Maths Hons syllabus covers in-depth physiotherapy through various subjects that are discussed below:

B.Sc Maths Hons Subjects Topics Covered
Calculus  Definition of the limit of a function, Basic properties of limits, Asymptotes in Cartesian coordinates, the intersection of the curve and its asymptotes,
asymptotes in polar coordinates.
Descriptive Statistics Measures of Central Tendency and Location, Moments, Skewness and Kurtosis, Theory of Attributes. 
Mechanics Statics, Forces  Couples, Co-planar forces, Astatic equilibrium, Friction, Equilibrium of a particle on a rough curve.
Probability Theory The notion of probability, Random variables, Discrete random variables, Continuous random variables, Bivariate random variables.
Ordinary Differential Equations Geometrical meaning of a differential equation, Orthogonal trajectories, Linear differential equations of second order, Ordinary simultaneous differential equations.

B.Sc Mathematics Honours Course Structure

 BSc Maths Honours course structure helps students prepare on both theoretical and practical levels. The course structure is given below:

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

BSc Mathematics Honours Teaching Methodology and Techniques

B.Sc Maths Honours encompasses different teaching methods including traditional lecture-based training and action-based learning methods. The aim is to develop critical thinking and research capabilities. The following are several learning techniques associated with BSc Honours Mathematics syllabus :

  • Practical Sessions
  • Group Projects
  • Case Methodology
  • Workshop
  • Seminars

B.Sc Mathematics Honours Projects

Students can take up BSc Mathematics Hons projects on different topics such as estimation of the matrix, sampling, stability analysis of ecosystem model, etc. Below are some of the popular B.Sc Maths Hons Projects:

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

B.Sc Maths Honours Reference Books

BSc Mathematics Honours books are meant for a better understanding of concepts. The students can understand the course by downloading the B.Sc Math Honours syllabus PDF from the college website. Some of the books in the BSc Maths Honours syllabus are given below:

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

B.Sc Mathematics Honours Fee Structure

FAQs

What are the subjects in B.Sc Maths Honours?

B.Sc Maths Honours subjects include understanding of basics of calculus, linear algebra, statistics, complex analysis, topology, algebraic geometry, etc.

What is the syllabus of BSc Mathematics Honours 1st year?

The BSc Mathematics Honours 1st year syllabus includes topics such as real numbers, sequences and series, limits and continuity, differentiation, introduction to mathematical software such as MATLAB, etc.

What are the important books in BSc Maths Honours course?

The important books for BSc Maths Honours are Linear Algebra" by Gilbert Strang, "Topology" by James Munkres, "Algebra" by Michael Artin, etc.

What are some popular research topics for BSc Mathematics Honours?

Some of the popular research topics for BSc Mathematic Honours are Study on Matrix and Its Applications, Usage of Homological Algebra, etc.

Is BSc Mathematics Honours easy?

No, the BSc Mathematics Honours course is intended to give students a challenging education in mathematics and demands commitment and hard work from students.

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