A comprehensive, multidisciplinary curriculum including six semesters and three years of theoretical study comprises the BSc Mathematics syllabus and subjects. The course curriculum incorporates various teaching methods including deductive reasoning, analytical problem-solving, inductive reasoning, etc., that vary slightly from one college to the next.
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:
Algebra:
Real analysis:
Differential equations:
Real function theories:
In group theory 1:
Multiple-variable calculus
Equations with partial differentials
Measurement spaces
Group theory, phase II
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:
BSc Mathematics Syllabus First Year | |
---|---|
Semester 1 | Semester 2 |
Elementary Algebra & Trigonometry | Group Theory |
Differential Calculus | Integral Calculus |
Geometry & Vector Analysis | Analytical Geometry |
BSc Mathematics Syllabus Second Year | |
Semester 3 | Semester 4 |
Advanced Algebra | Vector Spaces & Matrices |
Differential Equations | Real Analysis |
Mechanics | Mathematical Methods |
BSc Mathematics Syllabus Third Year | |
Semester 5 | Semester 6 |
Linear Algebra | Numerical Methods |
Complex Analysis | Mathematical Statistics |
Functions of Several Variables & Partial Differential Equations | Operations Research |
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.
Years | Subjects |
---|---|
1st year | Calculus Algebra Real analysis Differential equations |
2nd year | Theory of real functions Group theory – 1 Multivariate calculus Partial differential equations Riemann integration and series of functions Ring theory and linear algebra |
3rd year | Metric spaces Group theory – II Complex analysis Ring theory and linear algebra – II |
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 (Core) | |
---|---|
Calculus | Metric Space |
Probability | Ring Theory |
Statistics | Computer Application |
Algebra | Complex Analysis |
Real Analysis | Linear Algebra |
Communication Skills | Numerical Methods |
Linear Differential Equations | Analytical Geometry |
Group Theory | Fourier Analysis |
Matrices | - |
BSc Mathematics Subjects which are Optional are listed below:
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.
The following pointers list the first-year lab BSc Mathematics subjects:
The following pointers list the first-year lab BSc Mathematics subjects:
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:
Semester 1 | Semester 2 |
---|---|
Analytical Solid Geometry, Differential Equations | Calculus, Probability & Statistics, |
Semester 3 | Semester 4 |
Real Analysis, Abstract Algebra | Linear Algebra, Mechanics |
Semester 5 | Semester 6 |
Discrete Mathematics Linear Programming & Its Applications | Complex Analysis Numerical Analysis |
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.
JET | JET Syllabus |
---|---|
NPAT | NPAT Syllabus |
CUET | CUET Syllabus |
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:
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 |
The BSc Mathematics course curriculum includes, among other things, seminars, problem-solving, practical exercises, and projects that enhance a student’s knowledge in addition to providing them with a solid grasp of mathematical theories. The following incorporates the BSc Mathematics course structure:
The list of elective BSc Mathematics subjects includes Vector Calculus, Transportation and Game Theory, Theory of Equations, Probability and Statistics, Mathematical Finance, Boolean Algebra, Analytical Geometry, and more.
The list of core BSc Mathematics subjects includes Algebra, Analytical Geometry, Communication Skills, Complex Analysis, Computer Application, Fourier Analysis, Group Theory, Linear Differential Equations, Matrices, Metric Space, Real Analysis, Ring Theory, Statistics, and more.
The BSc Mathematics syllabus for the third year includes topics such as Advanced Calculus, Complex Analysis, Complex Analysis and Ring Theory, Complex Analysis II, Elementary Number Theory & Advanced Algebra, Graph Theory and metric spaces, Human Rights and Mathematics for Environmental Studies (Elective), Numerical Methods Practical using C, Partial Differential Equations and Applications, Programming in C Language, Project Work, Real Analysis, etc.
The BSc Mathematics syllabus for the second year includes topics such as Vector Analysis, Statics & Dynamics, Set Theory and Theory of Equations, Ring Theory and Linear Algebra I, Riemann Integration and Series of, Mathematical Analysis, Functions, Differential Equations, Computer Graphic (Elective), Calculus-II, Algebra-II, etc.
The BSc Mathematics syllabus for the first year includes topics such as Algebra, Analytical Geometry of three dimensions, Calculus I & II, English I & II, Geometry & Vector Calculus, Trigonometry, etc. These subjects introduce students to the fundamental concepts which will be implemented during the course duration.
Yes, the distance education BSc Mathematics syllabus is the same compared to the regular course, however, slight differences may happen from one college to another. These UGC/AICTE-approved online courses are of three-year duration, almost the same length as traditional ones.
The list of some distance education colleges that provide the best BSc Mathematics course curriculum includes Bharathidasan University, BRAOU, Directorate of Distance Education- Alagappa University, Dr C V Raman University, Institute of Distance Education- University of Madras, Madhya Pradesh Bhoj Open University, NOU, NSOU, VMOU, etc.
The list of some private colleges that provide the best BSc Mathematics course curriculum includes Amity University Noida, BITS Pilani, Chandigarh University, Kalasalingam Academy of Research and Education, Lovely Professional University (LPU), SASTRA (Deemed to be University), Srinivasa Ramanujan Center- Shanmugha Science/ Arts/ Technology and Research Academy, SRM Institute of Science and Technology Chennai, VIT Vellore, and so on.
The list of some government colleges that provide the best BSc Mathematics course curriculum includes Avinashilingam Institute for Home Science and Higher Education for Women, Banaras Hindu University, Central University of Tamil Nadu, Cochin University of Science and Technology, Kochi, Delhi University, Guru Nanak Dev University, Jamia Millia Islamia, Panjab University, Tezpur University, and more.
The following are some of the best BSc Mathematics project topics:
The BSc Maths curriculum integrates, among other things, problem-solving, practical exercises, seminars, and projects to enhance knowledge while providing a solid grasp of mathematical concepts. The BSc Mathematics course curriculum includes the following specifics:
Some practical BSc Mathematics subjects for third-year students include the following:
Some practical BSc Mathematics subjects for second-year students include the following:
Some practical BSc Mathematics subjects for first-year students include the following:
Some elective BSc Mathematics subjects are Vector Calculus, Transportation and Game Theory, Theory of Equations, Probability and Statistics, Mathematical Finance, Boolean Algebra, Analytical Geometry, and so on. Students can select the elective subjects based on their area of interest, the possibility of pursuing higher education, career objectives, etc., but they also highlight the critical career skills that they will need to succeed in the course and their profession.
The core BSc Mathematics subjects are Algebra, Analytical Geometry, Calculus, Communication Skills, Complex Analysis, Computer Application, Fourier Analysis, Group Theory, Linear Algebra, Linear Differential Equations, Matrices, Metric Space, Numerical Methods, Probability, Real Analysis, Ring Theory, Statistics, and more.