B.Sc Maths Syllabus is structured to emphasize the development of mathematical skills in algebra, calculus, and data analysis. The BSc Maths syllabus semester-wise course combines a thorough understanding of geometry, trigonometry, calculus, and other theories. It also delves into similar fields such as computer science and statistics. The B.Sc Mathematics course covers subjects such as algebra, integral calculus & trigonometry, advanced calculus, vector analysis & geometry, mathematical methods.

## Semester Wise B.Sc Mathematics Syllabus

BSc Mathematics syllabus consists of a systematic and multidisciplinary curriculum that involves theoretical study over six semesters and three years. The following is a tabulated breakdown of the general b.sc syllabus Maths by semester:

 Semester Ⅰ Semester Ⅱ Elementary Algebra & Trigonometry Group Theory Differential Calculus Integral Calculus Geometry & Vector Analysis Analytical Geometry
 Semester Ⅲ Semester Ⅳ Advanced Algebra Vector Spaces & Matrices Differential Equations Real Analysis Mechanics Mathematical Methods
 Semester Ⅴ Semester Ⅵ Linear Algebra Numerical Methods Complex Analysis Mathematical Statistics Functions of Several Variables & Partial Differential Equations Operations Research

## B.Sc Mathematics Subjects

Subjects in B.Sc Maths involve a study of geometry, trigonometry, calculus, and other theories. B.Sc Mathematics subjects consist of algebra, integral calculus & trigonometry, advanced calculus, vector analysis & geometry, mathematical methods. The following is a list of the topics covered in the B.Sc Maths Subjects list:

Core Subjects:

• Calculus
• Probability
• Statistics
• Algebra
• Real Analysis
• Communication Skills
• Linear Differential Equations
• Group Theory
• Matrices
• Analytical Geometry
• Fourier Analysis
• Metric Space
• Ring Theory
• Computer Application
• Complex Analysis
• Linear Algebra
• Numerical Methods

Elective Subjects:

• Analytical Geometry
• Vector Calculus
• Theory of Equations
• Probability and Statistics
• Mathematical Finance
• Boolean Algebra
• Transportation and Game Theory

## B.Sc Mathematics Course Structure

B.Sc in Mathematics is a three-year undergraduate program divided into six semesters that provide in-depth knowledge of mathematical skills in algebra, calculus, and data analysis. The B.Sc. Mathematics course combines a thorough understanding of geometry, trigonometry, calculus, and other theories and enriches knowledge through problem-solving, hands-on exercises, study visits, and projects, among other activities. The course structure is:

• VI semesters
• Project submission

## B.Sc Mathematics Teaching Methodology and Techniques

B.Sc Mathematics can be taught in many different ways, lecture, inductive, deductive, heuristic or discovery, analytic, synthetic, problem solving, and project approaches are all used to teach mathematics. According to the syllabus's particular unit, available resources, and the number of students in a class, teachers can use any form. Some techniques are given below:

• Demonstration
• Synthetic method
• Problem-solving exercises

## B.Sc Mathematics Projects

Mathematics is a subject that deals with numbers, shapes, logic, quantity, and arrangements. Mathematics teaches to solve problems based on numerical calculations and find the solutions.

Popular B.Sc Mathematics projects are:

• Computable reducibility of equivalence relations,
• Dynamic sampling versions of popular SPC charts for big data analysis
• Classification of vertex-transitive structures
• Latin squares and their applications to cryptography

## B.Sc Mathematics Reference Books

For students pursuing a B.Sc in Mathematics, experts have put together a list of the best reference books. Mathematics students at top universities worldwide and students at various institutions and schools use these books.

The following is a list of the most recommended books for a B.Sc Mathematics course, as shown in the table 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 by Hughes and Hallet