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BSc Hons Mathematics Syllabus and Subjects: First Year, Yearly, Top Colleges, UGC, Semester, Books

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BSc Mathematics (Hons) is a degree program at the undergraduate level. The duration of the course is three years. It deals with the foundation of Calculus, Real & Complex analysis, Abstract Algebra, Differential Equations Number Theory, Graph Theory, and C++ Programming, etc. Candidates who have passed the 10+2 examination in the Science stream (physics, chemistry and mathematics) with at least 50% marks can apply for this course. 

The BSc Mathematics Hons admission will be either merit based or entrance based. The popular entrance exams for BSc Mathematics (Hons) are the Banaras Hindu University Entrance Exam, Jamia Hamdard University Entrance Exam, Bhaskaracharya College of Applied Sciences Entrance Exam, University of Delhi Entrance Exam, and Ranchi University Entrance Exam.

BSc Mathematics (Hons) includes core subjects such as differential calculus, real analysis, algebra, differential equations, theory of real functions, ring theory and linear algebra. Mathematics (Hons) graduates can choose from any major field like Statistics, Operations Management, Accountancy, Actuarial Sciences, Banking, Teaching, Data Science and many more.

BSc (Hons) Mathematics Course Details

Course Name Bachelor of Science [B.Sc] {Hons.} (Mathematics)
Course Level Graduate
Duration 3 Years
Admission Process Merit based/Entrance Exam
Top Entrance Exam Banaras Hindu University Entrance Exam, Jamia Hamdard University Entrance Exam,
Bhaskaracharya College of Applied Sciences Entrance Exam, University of Delhi Entrance Exam, Ranchi University Entrance Exam
Eligibility 10+2 in Science stream with at least 50% marks
Top Colleges Christ University, Bangalore; Quantum University, Roorkee, Fergusson College, Pune; The Oxford College of Science, Bangalore; Mount Carmel College, Bangalore; ST Joseph’s College, Calicut
Fees INR 5,000 to INR 2 lakhs

BSc (Hons) Mathematics Syllabus

Semester I Semester II
Calculus Mechanics I
Algebra I Algebra II
Geometry Differential Equations I
Semester III Semester IV
Mechanics II Vector Analysis
Differential Equations II Differential Equations III
Analysis I Analysis II
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

BSc (Hons) Mathematics Subjects

BSc Hons Mathematics deals with honors subjects along with pass subjects. Students will get advanced knowledge in Mathematics as compared to a normal BSc Mathematics Syllabus. 

See also: How to become a Mathematician?

BSc Hons Subjects First Year  

  • Calculus: Calculus is concerned with the calculation of instantaneous rates of change and the summation of infinitely many small factors which determines the whole.
  • Mechanics: Mechanics are concerned with the relationships between force, matter, and motion among physical objects. 
  • Algebra: Algebra deals with symbols and the rules for manipulating those symbols. These symbols represent quantities without fixed values, known as variables.
  • Geometry: Geometry is concerned with properties of space such as the distance, shape, size, and relative position of figures.
  • Differential Equations: It is known as the equation that relates one or more unknown functions and their derivatives. Functions represent physical quantities, while the derivatives represent their rates of change, and a differential equation defines the relationship between the two.

See Also: Mathematics Courses

BSc Hons Maths Subjects Second Year 

  • Vector Analysis: Vector analysis deals with quantities that have both magnitude and direction. Some of them are called scalars and can be defined by specifying their magnitude in units of measure.

BSc Hons Maths Subjects Third Year 

  • Numerical Methods: Numerical methods are mathematical tools designed to solve numerical problems. The implementation of these methods with an appropriate convergence checks in a programming language.
  • Probability Theory: Probability theory is concerned with the analysis of random phenomena. It means the outcome of a random event cannot be determined before it occurs, there may be any one of several possible outcomes. 
  • Numerical Methods Practical using C: Numerical Methods Practical using C are fixed point iteration / repeated substitution method, bisection method, regula falsi method, newton raphson method, secant method.
  • Linear Programming and Optimization: Linear programming is a method of optimizing operations with the main objective of maximizing or minimizing the numerical value. 

BSc Mathematics Hons Syllabus DU

Semester I Semester II
Calculus Real Analysis
Algebra Differential Equations
Semester III Semester IV
Theory of Real Functions Partial Differential Equations
Group Theory-I Riemann Integration and Series of Functions
Multivariate Calculus Ring Theory and Linear Algebra-I
Semester V Semester VI
Metric Spaces Complex Analysis
Group Theory-II Ring Theory and Linear Algebra-II

BSc Mathematics Hons Syllabus Jadavpur University 

Semester I Semester II
Calculus Mechanics I
Algebra I Algebra II
Geometry Differential Equations I
Semester III Semester IV
Mechanics II Vector Analysis
Differential Equations II Differential Equations III
Analysis I Analysis II
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
Optional Paper I Optional Paper III
Optional Paper II Optional Paper IV

BSc Mathematics Hons Syllabus UGC 

Semester I Semester II
Calculus Real Analysis
Algebra Differential Equations
Semester III Semester IV
Theory of Real Functions Numerical Methods
PDE and Systems of ODE Riemann Integration and Series of Functions
Group Theory I RingTheory and Linear Algebra I
Semester V Semester VI
Multivariate Calculus Metric Spaces and Complex Analysis
Group Theory II Ring Theory and Linear Algebra II

BSc Mathematics Hons Syllabus in Calcutta University 

Semester I Semester II
Ability Enhancement Compulsory Course-1 Ability Enhancement Compulsory Course-2
Calculus, Geometry & Vector Analysis Real Analysis
Algebra Group Theory-I
Generic Elective-1 Generic Elective-2
Semester III Semester IV
Theory of Real Functions Riemann Integration & Series of Functions
Ring Theory & Linear Algebra-I PDE & Multivariate Calculus-II
ODE & Multivariate Calculus-I Mechanics
Skill Enhancement Course-A Skill Enhancement Course-B
Generic Elective-3 Generic Elective-4
Semester V Semester VI
Probability & Statistics Metric Space & Complex Analysis
Group Theory-II & Linear Algebra-II Numerical Methods
Discipline Specific Elective- A Numerical Methods Lab
Discipline Specific Elective-B Discipline Specific Elective- A
- Discipline Specific Elective-B

BSc Mathematics Hons Books

Name of the Book Author
Basic Abstract Algebra Bhattacharya
Contemporary Abstract Algebra Joseph A. Gallian
Calculus and Analytic Geometry GB Thomas and RL Jinney
Calculus: Single and Multivariable Hughes - Hallet
Functional Analysis and Applications S. Kesavan

BSc Mathematics Hons Syllabus: FAQs

Ques. What is BSc Mathematics Hons?

Ans. BSc Mathematics Hons is a degree programme of undergraduate level.The duration of the course is three years. It deals with the foundation of Calculus, Real & Complex analysis, Abstract Algebra, Differential Equations Number Theory, Graph Theory, and C++ Programming, etc.

Ques. Who can do BSc Mathematics Hons?

Ans. Candidates who have completed 10+2 examination with in Science stream (physics , chemistry and mathematics) with at least 50% marks can apply for this course.

Ques. What are the core subjects of BSc Mathematics Hons?

Ans. Core subjects of BSc Mathematics Hons are:

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

Ques. What is the average salary of BSc Mathematics Hons graduate?

Ans. The average salary of the Maths Hons graduates in the public and private sectors are around INR 4 - 6 LPA. 

Ques.What are the elective subjects of BSc Mathematics Hons?

Ans. Elective subjects of BSc Mathematics Hons are:

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

Ques. What are the Job Options after BSc Mathematics Hons?

Ans. Job Options after BSc Mathematics Hons:

  • Teaching.
  • Accounting.
  • MCA.
  • Actuarial.
  • Operational Research.
  • Mathematics.
  • Banking.
  • Economics.

Ques. What are the project topics for BSc Mathematics Hons?

Ans. 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

Ques. What are the Top colleges for BSc Mathematics Hons?

Ans. Top colleges for BSc Mathematics Hons are: Christ University, Bangalore; Quantum University, Roorkee, Fergusson College, Pune; The Oxford College of Science, Bangalore; Mount Carmel College, Bangalore; ST Joseph’s College, Calicut

Ques. What courses can be done after BSc Mathematics Hons?

Ans. Courses that can be done after BSc Mathematics Hons:

  • MSc in Mathematics.
  • MSc in Statistics.
  • MSc in Actuarial Science.
  • MCA.
  • B. Ed.
  • CFA.
  • MBA.
  • Master of Data Science.

Ques. What are the common entrance exams for BSc Mathematics Hons?

Ans. Common entrance exams for BSc Mathematics Hons are: Banaras Hindu University Entrance Exam, Jamia Hamdard University Entrance Exam, Bhaskaracharya College of Applied Sciences Entrance Exam, University of Delhi Entrance Exam, Ranchi University Entrance Exam

Bachelor of Science [B.Sc] {Hons.} (Mathematics) : 33 answered questions

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Ques. Is mca is good option after bsc math to become software engineer or go for btech lateral entry mca in nit is good ?

● Top Answer By Vinima Bhola on 25 Jun 25

Ans. Here’s a clear analysis and comparison of your options for becoming a software engineer after BSc Math: Option Eligibility After BSc Math Focus Career Prospects Entry-Level Salary (INR) Duration (years) Key Advantage MCA Yes Software, IT, Apps Software Developer, IT, Data 6–15 LPA 2–3 Specialized IT skills BTech (Lateral Entry) Sometimes (depends) Engineering, CSE Software Engineer, Core Eng 4–12 LPA (CSE higher) 3 (lateral) Strong CS fundamentals If you have a BSc in math and wish to work as a software engineer, the MCA is usually the easiest and most efficient route. Additional benefits might be available if you can obtain a BTech lateral entry in computer science from a reputable institution, although this is less usual and more restrictive. Choose between specialised IT skills and a more general engineering background, taking into account your access to lateral entry alternatives.Read more
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Ques. Which is better, applied math at IIT Roorkee or CSE at any of the newer IITs like IIT Bhubaneswar or Jodhpur?

● Top Answer By Divya on 02 Jul 24

Ans. I am a second year student at IIT Roorkee. There are several reasons why choosing Applied Math at IITR over CSE at a newer IIT is a better option. IIT Roorkee has a strong national and international reputation as it is one of the oldest universities. Its alumni network is extensive and well-regarded. While IIT Bhubaneswar and IIT Jodhpur are rapidly growing and improving, they still don’t have the same recognition or reputation as IIT Roorkee. IIT Roorkee has a highly experienced and qualified faculty, particularly in the Mathematics Department. The exposure to high-quality teaching and mentorship can significantly enhance your academic experience. The Applied Mathematics program at IIT Roorkee offers strong theoretical foundations and practical applications, preparing you for diverse career paths. IIT Roorkee has a strong placement cell and a track record of excellent placement statistics across all departments. Companies value the IIT Roorkee brand, and students from Applied Mathematics often secure positions in top-tier companies, financial institutions, and reseorganizationstions. Based on all these factors, I suggest you choose Applied Math at IIT Roorkee over CSE at IIT BBSR/Jodhpur.Read more
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Ques. Which is better: IIT BHU electrical engineering, IIT Bhubaneswar CSE, IIT HYD mechanical engineering, or IIT Roorkee applied mathematics?

● Top Answer By Prerna on 28 Jun 24

Ans. I am a fourth year B.Tech CSE student at IIT Bhubaneswar. As per the NIRF Engineering Ranking 2023, IIT Bhubaneswar is placed 47th. Moreover, IIT Bhubaneswar recorded 100% placements in B.Tech CSE in 2023, and the average package stood at INR 25.18 LPA for this branch. The top recruiters at IIT Bhubaneswar for 2023 placements were- Accenture, Adobe, Amazon, Dell, Deloitte, HCL, Infosys, ISRO, among others. Here are the 2023 placement statistics for B.Tech CSE at IIT Bhubaneswar: Particulars Placement (2023) Average Salary INR 25.18 LPA Highest Salary INR 55.75 LPA Median Salary INR 20.31 LPA Lowest Salary INR 9 LPA % Batch placed 100 Other than performing well in placements, the students of B.Tech CSE at IIT Bhubaneswar get to be a part of various interesting clubs and societies. These are- The Robotics and Intelligent Systems Club (RISC), Web and Design Society (WebnD), and Neuromancers (The Programming Society).  These clubs and societies allow students to indulge in the fields of robotics, web development and programming by interacting with others and working on interesting projects.  Based on my personal experience, I can assure you that B.Tech CSE at IIT Bhubaneswar is a good choice. However, I can not comment on the other institutions/courses as I have not been a part of them.Read more
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Ques. What are the placements of integrated M.Sc in math and computing at BIT Mesra?

● Top Answer By Arun Biswas on 09 Aug 23

Ans. The branch was started in 2011 and still has a long way to go. The placement scenario however seems promising since the first batch itself received the highest offer of INR 10 LPA. Most of the seniors I know who belonged to this branch were dependent on off-campus placements and got placed in SAP Labs. The reason on-campus placements for Integrated MSc in Math and Computing at BIT Mesra are not very promising is that students for this program aren't selected via JEE Mains. Big companies like Goldman Sachs, Amazon, Walmart Labs, etc don't find these students credible enough to work in their companies. However, recently MnC has become the fastest-growing branch on campus right now with students receiving plentiful internship offers from foreign universities, IIT, and IIM. Ultimately I would like to comment that go for this branch only if you are genuinely interested in it and not as an escape route to one-year JEE preparation. Don’t go for it just because of placements you will end up being disappointed.Read more
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Ques. Is an integrated MSc in mathematics and computing in BIT Mesra a good option?

● Top Answer By Deepmoy Ganguly on 09 Aug 23

Ans. Maths and Computing is considered one of the best branches after CS in IITs today. The BIT tag is also quite popular among engineering aspirants so many enthusiasts of Math and CS  go for this branch to avail the opportunities this field offers. From what I have heard, the syllabus is at par with industry needs and the faculty pool is very passionate and approachable.  Mathematics is an indispensable part of Computer Science whether it’s research in data science or development. you need to be proficient in math. This course is designed to bridge the gap between the two which it purposely does, opening gates of innumerable opportunities.  To make the most of this branch, start concentrating on Core Mathematics and programming/DS/competitive programming right from the first year. Start working on a project by the end of the first year and go for an internship in the software domain. By the end of the 4th year, you will be proficient in most CS skills making it possible for you to sit for maximum placements. So, taking IMSC in Mathematics and Computing at BIT Mesra will be a good decision if you stop comparing your branch with others. The only drawback is that it is not a technical degree but that does not matter in the long run.Read more
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Ques. What should I opt for, mathematics and computing at IIT Dhanbad or computer science at IIT Palakkad?

● Top Answer By Aditi Roy on 15 Jul 23

Ans. Both institutes are relatively new and enjoy a similar status and brand value in the education world. IIT Palakkad is a new IIT while IIT Dhanbad although an old institution has recently been given the IIT title. So that leaves us with preference as the major factor in determining which institute is the right one for you. MNC is a blend of both Math and Computing concepts and is often very rigorous. The mathematical proofs and theorems form a major part of the curriculum and CS comprises just a minor portion of it. Unless you are a math lover or are genuinely interested in it, this branch might be very challenging for you as the concepts are very advanced and nothing like what you studied before. CSE on the other hand is an evergreen branch with broad prospects.  Moreover, the faculty of IIT Palakkad are from IITM also thus improving the quality of education offered. The infrastructure is excellent with great accommodation facilities.Read more
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Ques. How are the placements for Bachelor of Science [B.Sc] {Hons.} (Mathematics) at DIT University Dehradun?

● Top Answer By Harshit Arya on 29 Jan 23

Ans. The campus provides good placements for CSE students, as I am a BSc Student there are very less companies that offered roles to Bsc students. The college provides placements starting from the 6th semester, the companies that visit the campus are Deloitte, Adobe, TCS, Wipro, Infosys, Pal Alto, Techeon, etc. 80-85% of students got placed every year. I am planning for higher studies although.Read more
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Ques. How is the course curriculum of Bachelor of Science [B.Sc] {Hons.} (Mathematics) in DIT University Dehradun?

● Top Answer By Harshit Arya on 29 Jan 23

Ans. I have chosen BSc Honours Mathematics, as I have an interest in it, moreover, I asked my seniors about the college and they suggested I take admission. The student-faculty ratio is 30:1. Most of the faculty hold a Ph.D. degree, although some of them are less experienced. The college conducts two exams per semester, one is the mid-term and the other is the end term. The exams are quite easy to pass.Read more
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Ques. How are the placements for Bachelor of Science [B.Sc] (Mathematics) at St Xavier's Mumbai?

● Top Answer By Gladisa Rodrigues on 23 Apr 21

Ans. After graduation students are eligible for campus hu placement. There are many companies that have visited the college for placement. The highest package offered was a BMM student got a package of 30 lakhs.Read more
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Ques. How is the course curriculum of Bachelor of Science [B.Sc] (Mathematics) in St Xavier's Mumbai?

● Top Answer By Gladisa Rodrigues on 23 Apr 21

Ans. Maths has been one of my favourite subjects and I always y to my career in maths. In Xavier's College there are a total of 5 professor for maths who have done their MSc and have been working in this college for the past few years. Their teaching is very good. They use various methods for teachings like using PowerPoint presentation and blackboard to giving real-life example to make the concepts very clear for students. There are revision lectures conducted for students. Also before the exam there are doubt sessions in which a student can clear his/ her doubt. For a year college conduct 2 semester in which each semester has 3 exams for a course. There is two continuous internal assessment for twenty marks each and one last semester for sixty marks each. At the end of the semester, all the mks are added and the final score is revealed. The exams are a bit difficult to challenge students intellectual skills but students are trained for such exams that they don't find difficult or stressful.Read more
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