BSc Mathematics Syllabus & Subjects 2024

BSc Mathematics syllabus and subjects place a strong emphasis on the development of Algebraic, Calculus, and Data Analysis Skills. It is a three-year undergraduate academic degree course available to graduates who have completed 10+2 with a background in Math. This course is offered by several colleges and universities both on and off campus across the country. After earning a BSc in Mathematics, students can pursue careers in actuarial sciences, statistics, mathematical modelling, computer sciences, cryptography, and other fields.

BSc Mathematics subjects include topics such as trigonometry, algebra, calculus, vector calculus, differential geometry, graph theory, complex analysis, real analysis, differential equations, and lap lacing. The BSc Mathematics syllabus incorporates core, elective, and laboratory subjects to provide students with a comprehensive understanding of the subject. However, these subjects may differ from one college to another. The course curriculum provides candidates with hands-on problem-solving skills, seminars, project submission, and more. This page discusses the BSc Mathematics syllabus and subjects in detail, the semester-wise syllabus, the best reference books, the course structure, and more.

The BSc Mathematics course syllabus is broken down into its various semesters, listing all of the subjects, so that students considering enrolling in it can learn more about the topics they will be studying. Although the BSc Mathematics subjects may vary from one college to the next, the majority of the course concepts are consistent across almost all of them. The candidates can check Year Wise BSc mathematics Syllabus here.

BSc Mathematics Syllabus 1st Year: The objectives of the first year's courses cover important subjects and strengthen the foundation. By utilising the geometric and calculus properties of conic sections, the main goal is to advance our understanding of planetary motion. In the first year, students are taught differential equations, applications, and mathematical modelling.

BSc Mathematics Syllabus 2nd Year: You will be taught various subjects in the second year of the course to lay the groundwork for the third year. In the second year, students receive training in continuity, calculus, and valued function concepts. It covers basic group theories as well as a thorough examination of group symmetry.

BSc Mathematics Syllabus 3rd Year: The third year, which is the final year for BSc mathematics, covers subjects like the contour integral, metric spaces, numerical analysis, etc. Additionally, these subjects will enhance and clarify the understanding of metrics for open or closed balls and other subject areas. The study of additional knowledge for abstract algebra and its use.

Calculus:

• Sketching and tracing curves
• Vector calculations and their uses
• Applications of derivatives in graphing
• Surface areas and volumes

Algebra:

• Elementary number theory
• Equations and complex number theory
• Relations and operations of equivalence
• Metrics in row echelon format

Real analysis:
 

• Systems of natural numbers, R
• Inventive series characteristics
• R's sequence

Differential equations:

• Mathematical modelling and differential equations
• Model for population growth
• Higher-order and second differential equations
• Mathematical model analysis

Real function theories:

• Limits of functions
• Regular functions and their characteristics
• Application of Taylor's Theorem
• Derivability and how it is used

In group theory 1:

• Groups and subgroups that cycle
• Groups and their fundamental characteristics
• Homomorphism in groups
• Permutation group and Lagrange's theorem

Multiple-variable calculus

• Triple- and double-integrals
• Calculus of various variables' functions
• Characteristics of the vector field and the extremes of two-variable functions
• Theorem of Gauss, Stoke, and Green's Divergence

Equations with partial differentials

• The Cauchy problem, first-order PDE Wave equations, and characteristic method
• 2nd order line PDE classification and mathematical models
• Technique for separating variables

Measurement spaces

• Topology and metric spaces
• Fundamental ideas
• Connectivity and compactness
• In metric spaces, continuity and uniform continuity

Group theory, phase II

• Attributes of automorphism
• Group effort
• Theorem of Sylow and applications
• Direct group products both internally and externally

The BSc Mathematics course subjects are organised and multidisciplinary, and it spans six semesters and three years of theoretical study. The general BSc Mathematics syllabus are tabulated below by semester:                                                  

The calculus, algebra, and data analysis portions of the BSc Mathematics course subjects are intended to help students advance their mathematical abilities. Calculus, trigonometry, and related theories are all thoroughly covered in BSc Mathematics subjects. The BSc Mathematics course syllabus/curriculum cultivates a deep and thorough understanding of mathematics semester by semester. Six semesters and 24 subjects make up BSc Mathematics subjects. Core and applied mathematics are studied for the BSc mathematics subjects, which is regarded as a bachelor's degree. The three-year, six-semester BSc Mathematics syllabus includes a multidisciplinary curriculum that covers the subject matter. There are various methods for teaching mathematics, including lectures, deductive reasoning, inductive reasoning, discovery or heuristics, problem-solving, and analytical methods. The following strategies are used by teachers in accordance with the resources at their disposal and specific curriculum units.

The study of geometry, trigonometry, calculus, and other theories are covered in the BSc Mathematics course syllabus. Algebra, integral calculus and trigonometry, advanced calculus, vector analysis and geometry, and mathematical methods make up the BSc Mathematics course syllabus/curriculum. 

The list of BSc Mathematics Subjects includes the following topics as examples:

BSc Mathematics Subjects which are Optional are listed below:

• Mathematical Analysis
• Equational Theory of Vector Calculus
• Statistics and Probability
• Calculus-Based Finance
• Algebraic Booleans
• Getting around and game theory

The BSc Mathematics syllabus covers a wide range of topics, including conditions and intricate mathematical analysis. The course curriculum, which spans three years and/or six semesters, covers key topics including integral calculus and trigonometry, advanced calculus, algebra, and mathematical methods. The following is a discussion about the year-wise laboratory subjects for BSc Mathematics.

First-Year BSc Maths Lab Subjects

The following pointers list the first-year lab BSc Mathematics subjects:

• Computation of inverse of a matrix using Cayley- Hamilton theorem
• Introduction to Sc iLab/Maxima and commands
• Tracing of Cartesian curves

Second-Year BSc Maths Lab Subjects

The following pointers list the first-year lab BSc Mathematics subjects:

• Verification of Euler’s theorem, its extension and Jacobian
• Verification of binary operations
• Numerical methods using C programming
• Examples of Cauchy’s root test, Raabe’s and Ratio test

There aren't many colleges that provide BSc in Mathematics via distance learning. Admission to the colleges that offer distance learning is merit-based, and applications are typically submitted online. A BSc in Mathematics course fees range between INR 5,000 and INR 18,000 per year. 

Here is the BSc Mathematics syllabus for Distance Programs tabulated below:

Candidates who have completed their 10+2 examination with PCB/PCM/PCMB group can apply for BSc Mathematics. For admission to BSc Mathematics, entrance exams are usually held.

Some of the entrance exams for BSc Mathematics courses are listed below.

English, Mathematics, Physics, Chemistry, General Knowledge, General and Mental Ability, Current Affairs, Logical Reasoning, Numerical Ability, Simple basic application of mathematics concepts like arithmetic / algebra, trigonometry, geometry/ statistics are the topics covered under BSc Mathematics Syllabus for Entrance Exam.

Experts have compiled a list of the best reference books for students pursuing a BSc in Mathematics. These books are used by mathematics students at top universities around the world, as well as students at various institutions and schools. As shown in the table below, the following are the most recommended books for a BSc Mathematics course syllabus: