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

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Sounak Banerjee

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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) : 28 answered questions

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Ques. What is the future of B.Math and B.Stat students in ISI, Kolkata?

● Top Answer By Praniti Das on 28 Sept 21

Ans. ISI Kolkata does not provide a B.Math program. The majority of B.Stat students return for M.Stat while some people join CMI, TIFR, IIM, and other such organizations.  M.Stat employees earn an average of 16–17 LPA, and many of them attend prestigious US graduate institutions. There are no fees for the entire program, and a stipend is provided. So, if you're looking for a career here, your future is bright.Read more
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Ques. How many marks have been necessary to take admissions in the BHU (math)?

● Top Answer By Vishal Kumar on 15 Nov 22

Ans. The BSc (Maths) entrance exam is BHU is one of the easiest exams. You can score fairly good marks by just going through your 12th-grade Maths, Physics, and Chemistry books. Study Chemistry from NCERT book. A thorough study of the following chapters will get you good marks: Biomolecule Polymer Animes Chemistry in everyday life The questions in the entrance exam are mostly based on direct concepts or formulas. As far as the number of marks necessary is concerned, there is no fixed digit. But at least attempt 70 questions without mistakes. This means you need to score at least 210 marks out of 450. However, this number keeps changing based on the pattern of the question paper.Read more
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Ques. What should I do after doing math honors from DU?

● Top Answer By Rithvik Singh on 10 Oct 22

Ans. In general, a BSc (Hons) in Math is a good course that leads to a variety of career opportunities, including -  Masters: After completing a BSc Hons in Mathematics, one can pursue a MSc in Mathematics, Statistics, Operational Research, Pure Mathematics, Applied Mathematics, Mathematics and Computing, or Mathematics and Computing. Some prestigious institutes that offer MSc in Mathematics include IITs, IISER, IISc Bangalore, Tata Institute of Fundamental Research, University of Hyderabad, and Chennai Mathematical Institute MBA: Following a BSc Hons in Math, an MBA is a good option for starting your career. Actuarial Science: If you want a job right after graduation, pursuing and passing at least three actuarial science exams will get you a good job. MCA / CODING: The IT industry is one of the fastest growing in INDIA, with many job opportunities available after a BSc Hons in Math. You can pursue IT jobs if you know a little coding, or you can pursue MCA, for which you will have to give NIMCET exams. Teaching: After completing your BSc Hons, you can pursue a career in education by taking the B.ED or, if you want to be a professor or lecturer, the JRF or NET exam. There are various other scopes available for students. They can also pursue a career in Research, go for Government Jobs (SSC), DRDO, ISRO, and so on.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. How do I prepare for BHU UET Bsc Maths (hons)?

● Top Answer By Shirsti Varma on 11 Nov 21

Ans. To score well in BHU UET, you need to have your basics clear. Go through all the chapters in Physics, Chemistry, Mathematics from NCERT books and your textbooks at least once.  Go through the previous year’s questions from the BHU website. You will get to know the question trends and also get an idea of the chapters to focus on. They often repeat questions. The questions are not that hard. You can easily attempt 10% of the questions. 60% of the questions require fundamental knowledge of the subjects. Only around 30% of the questions will be difficult to solve. But you don’t need to worry about the 30% difficult question. You can easily score enough marks from the rest of the paper. Time management is crucial during the examination. The allotted time is 150 min. Which can seem short, if you don’t plan accordingly. First, you should attempt Chemistry questions. These are easy to solve and require less time. Then you can move on to Physics and Mathematics. Don’t stress too much on the questions that you don’t know the answer to. Try to score at least 120 out of 150 in the Chemistry section.  Your focus on class 11 and 12th syllabus should be 40/60.  The required cutoff for the general candidates is around 190-200. So, try to score 240 to get your preferred combination. Read more
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Ques. What is the value of doing BHU BSc Math Honours?

● Top Answer By Himangi Srivastava on 18 Nov 22

Ans. My sister’s friend could not score a good rank in engineering but was lucky enough to get a seat in BHU UET for Maths Hons. She shared her experience that this was the best decision of her life as she felt unique. She made a lot of memories and befriended many talented people. She lived her college life to her fullest extent. From hostels to backlogs, she experienced all the fun. Despite creating hundreds of memories, today her batchmates are in IITs, 10% in IISc Banglore, 15% in IISERs, and 10% in IIMs. The others are booming in their own fields.Read more
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Ques. How can I do BSc Mathematics major through IGNOU?

● Top Answer By Santosh Singh on 19 Oct 22

Ans. If you are willing to get admission at IGNOU for B.Sc. Mathematics you can follow the following steps: choose minimum 40 credits worth of Mathematics electives you have to choose/opt your Mathematics electives according to year wise scheme i.e some electives in first year,some in second year and rest are in third year. Remember you cannot opt a 3rd year elective course in first year or second year. You can opt a first year course in second year or third year. Similarly a second year course in the third year. This is why there are less than 24 credit options of Mathematics electives. Online registration system eliminates the already selected electives automatically. This is the reason you don’t get MTE1 or MTE6 etc. options in your second year reregistration options list. MTE 06 is the toughest paper so try opting other electives.Read more
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Ques. What is the syllabus for the BHU UET BSc in Maths (hons)

● Top Answer By Ashish Gupta on 17 Nov 22

Ans. The syllabus for the BHU UET BAc in Maths is vast. One single book is not enough to cover it. But having a strong command of 10+2 syllabus is very important. Studying the previous years questions will give you a clear picture of the pattern of questions. The key syllabus for Maths Hons is: Relations and Functions and their Notations ( RD Sharma) The toughest part of the paper has to be Complex Numbers Previous year papers Binary system  If you are well versed in the above syllabus you are likely to score good marks.Read more
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Ques. Among JADAVPUR University, ST XAVIER'S AND CALCUTTA University, which is best to pursue B. Sc. in mathematics Honors?

● Top Answer By Pablo Patranabis on 11 Jan 21

Ans. Among the three mentioned universities, Jadavpur University is the best to pursue BSc in mathematics Honours without any doubt. The classes are assured regularly and rigorous for those who desire to have a future in mathematics; there should be no doubt in selecting JU.  Comparison: (Winning Institution - Jadavpur University) St. Xaviers became a university recently. A BSc degree from JU holds more value than a bachelor’s degree from St. Xaviers.  Jadavpur University was ranked 196th in Asia by The World University Ranking 2020. The faculty at JU is top-notch. The syllabus adopted by JU is of advantage if you want to pursue higher studies after your degree. You will have better exposure at Jadavpur through regular seminars. Attending seminars delivered by guest faculty from distinguished National institutes, and your seniors pursuing masters and Ph.D. will make an immense difference. If you are choosing St. Xaviers because of the campus, you should visit the Jadavpur University campus.  The classes are regular, and JU follows a rigorous pedagogy. The political environment people talk about is quite exaggerated. If you don't get involved in campus politics, it is never going to bother you.  Jadavpur University contributes much more than just a degree that gives you quality education, which is not restricted to classroom learning. They make sure the students turn into the person they can be and gives them the confidence that no other college in Kolkata does.Read more
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Ques. Where can I get the previous year’s solved paper for Jamia Millia Islamia B.Sc. Math Hons.?

● Top Answer By Anjum Ali, on 01 Nov 21

Ans. One of my friends studied at Jamia Millia Islamia (JMI). According to him, getting previous year’s solved papers for B.Sc. Math Honours is easy. You can visit the official site of the institute and search for the previous year’s paper. Download the question paper year wise Click on the link and the paper will be downloaded in Pdf format. If you do not get them online, try searching for the question books of every year in bookstores or in shopping sites like Amazon or Flipkart.Read more
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