BSc Maths Syllabus, Subjects, Year Wise, Semester Wise, Books, Course Structure

B.Sc. Mathematics is an undergraduate degree in the domain of Mathematical studies. The course aims at providing knowledge about disciplines of Maths such as Calculus, Differentiation, Integration, Linear programming, etc.

It is a 3-year professional degree course pursued by aspirants willing to make a career in the Mathematical domain and related disciplines.

B.Sc. Mathematics: Course Structure

The subjects of B.Sc. Mathematics course are designed in such a way that they primarily focus on developing mathematical skills in algebra, calculus and data analysis. B.Sc. Mathematics course is an amalgamation of in-depth knowledge of geometry, trigonometry, calculus and other theories.

It also explores related topics like Computer Science and Statistics. This degree course helps students in building a good foundation base for pursuing higher studies.

B.Sc. Mathematics: Syllabus Description

Year I
Topic Description
Calculus
  • Differential calculus
  • Geometrical application of differential calculus
  • Asymptotes
  • Integral Calculus
  • Multiple Integrals
Probability & Statistics
  • Probability and theoretical distributions
  • Transformation of random variable
  • Testing of hypothesis
  • Correlation and regression
  • Statistical quality control
Analytical Solid Geometry
  • Analytical geometry of two dimensions
  • Analytical geometry of three dimensions
  • Central coincides
  • Paraboloids
  • Transformation of rectangular axes
Differential Equations
  • Solving ordinary differential calculus
  • Differential equations with constant coefficients
  • Formation and solving PDE
  • Homogenous linear differential equations
  • Laplace transforms
Year II
Topic Description
Real Analysis
  • Sets and Functions
  • Real-valued functions
  • Equivalence, Countability
  • Real Numbers
  • Least upper bounds
Abstract Algebra
  • Preliminaries
  • Group and commutative group
  • Definition of subgroup and examples
  • Definition of cyclic group
  • Permutation
Mechanics
  • Friction
  • Common catenary
  • Impact
  • Virtual work
  • Moment of force
Linear Algebra
  • Vector spaces
  • Inner product spaces
  • Linear transformations
  • Eigen values and Eigen vectors
Year III
Topic Description
Discrete Mathematics
  • Relations
  • Division algorithm
  • Logic
  • Graph theory
Linear Programming & Its Applications
  • Unear programming problem
  • Problem formulation
  • Types of solutions
  • Linear programming in matrix notation
Complex Analysis
  • Analytical function
  • Transformation
  • Contour integral
  • Taylor and Laurent theorem
  • Evaluation of Integral
Numerical Analysis
  • Direct and iterative method
  • Numerical differentiation and integration
  • Polynomial approximation
  • Numerical solution of ordinary differential equations
  • Numerical solution of partial differential methods

B.Sc. Mathematics: Subjects of Study

Subjects of Study
Calculus Analytical Solid Geometry
Probability & Statistics Differential Equations
Real Analysis Mechanics
Abstract Algebra Linear Algebra
Discrete Mathematics Complex Analysis
Linear Programming & Its Applications Numerical Analysis

B.Sc. Mathematics: Subject Books

Name of the Book Author
Calculus- Single and Multivariable Hughes and Hallet
Contemporary Abstract Algebra Joseph A. Gallian
Basic Abstract Algebra Bhattacharya
Functional Analysis and Applications S. Kesavan
Ordinary Differential Equations Morris Tenenbaum and Harry Pollard
Calculus and Analytical Geometry GB Thomas and RL Jinney
Derivatives and Integrals of Multi-variable Functions Alberto Guzman
Numerical Analysis of Partial Differential Equations S.H. Lui

Bachelor of Science [B.Sc] (Mathematics) : 23 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 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. Which course should I choose if I get a chance to study at ISI Kolkata, a B.Math or a B.Stat?

● Top Answer By Aniket Sinha on 07 Oct 21

Ans. Both B.Stat and B.Math are different courses being offered at different campuses at ISI Kolkata and ISI Bangalore respectively. There are only a few common subjects in both courses.  The choice ultimately depends on your choice and interest. You can go through the syllabus of both courses and understand the topics. Find whichever interests you, you can choose to be research-oriented like B.math students or go for M.stat or other courses, if you choose so. You can apply for only 1 course because the institute conducts the entrance of both courses at the same time and day. You will be able to appear for only one of them.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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Ques. Among Hindu, Hansraj, Ramjas and Kirori Mal, which college is best for doing a B.Sc (Maths)?

● Top Answer By Sahil Mishra on 28 Jan 22

Ans. Wait for the cutoff lists to get released. If you clear the cutoff for each of these colleges, then your preference order should be as follows. Hindu>Kirori Mal>Hansraj>Ramjas The required cutoff for North campus colleges is usually higher than the south campus colleges. You can choose the college based on your cutoff. Read more
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Ques. Is the MNC branch in IIT Kharagpur preferential over CSE in IIT Bhubaneswar, Indore or Dhanbad?

● Top Answer By Madan Sahu on 16 Mar 23

Ans. When it comes to MNC at IIT Kharagpur, the course is primarily focused on Mathematics, while only a small portion is related to coding or computer sciences. However, this can actually work to your advantage because the course structure of MNC department at IIT Kgp offers you an equal opportunity to enhance your skills in coding as well as in Finance or Analytics. Moreover, if you happen to fall in love with your course, you also have the opportunity to pursue a Phd in Applied Mathematics as you will be graduating with an MSc degree. Besides the academic advantages, you can also benefit from the well-developed Institute culture and Placement Cell of IIT Kharagpur, which can help shape your career. Taking all of these factors into consideration, I strongly recommend that you consider pursuing MNC at IIT Kharagpur.Read more
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Ques. Which college is the best for a B.Sc(honours) in mathematics, Ramjas College or Kirori Mal College?

● Top Answer By Shashank Roy on 08 Nov 21

Ans. Both Ramjas College and Kirori Mal College are quite reputed colleges. There are no such parameters to differentiate between these two. Both of these two institutes have good faculty bases. You will also get decent facilities to learn at these colleges.  The only significant factor that can be mentioned is that Kirori Mal has a NAAC A+ accreditation with a better grade as compared to Ramjas. However, it’s not wise to compare these two institutes based on grade. You will have decent opportunities at both. So, you can opt for any of these two based on your convenience. Read more
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Ques. Is Motilal Nehru College, DU good for B.Sc.(honours) maths?

● Top Answer By Maya Vats, on 22 Nov 21

Ans. Yes, Motilal Nehru College (MLNC) is good for pursuing a B.Sc. Honours degree in Mathematics.  There are many benefits like: You don't have to worry about your internal exam marks, as they are checked by the faculty members. The faculty of Mathematics is very cooperative, friendly and oftentimes lenient. The student crowd is really enthusiastic and competitive. You will study amongst some of the brightest minds in the country. The overall ambience of the college is very welcoming and devoid of any kind of discrimination. Categories B.Sc. (Hons.) Mathematics at MLNC Course Fee INR 22,350 Placement Percentage 80% Average CTC 4-5 LPA Recruiting Companies KPMG, EY, PWC, DE Shaw, Willis Towers Consultancy and TresVista. However, always keep in mind that the college does not matter much, it is your performance that will define you and help you build your career further.Read more
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Ques. How is B.Sc maths faculty at Allahabad University?

● Top Answer By Praduman Singh on 22 Sept 21

Ans. I have a few friends from University of Allahabad and according to them, the faculty at Allahabad University is amazing. Moreover, the Maths department is the biggest department in Allahabad University. The teachers are well-experienced and cooperative. The faculty at Allahabad University is not only famous for Maths but also for Chemistry. And due to this reason, every year you get to see at least 2 to 3 students clear in research exams and further get selected in IITs for research. You can consider University of Allahabad as a valid option for your B.Sc in Mathematics.Read more
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Ques. Which is Better for B.Sc(Hons) Mathematics : Jesus and Mary, Daulat Ram or Sri Guru Teg Bahadur Khalsa College?

● Top Answer By Poorva Banerjee on 01 Feb 22

Ans. Among all three colleges, Khalsa College is better since it has good infrastructure and better faculties. It is also a co-ed college and the crowd at SGTB Khalsa College is much better than Daulat Ram College. It’s always better to choose an institute near your home. You can save the time you will need to spend during travel otherwise. If distance isn’t an issue for you, you can choose Jesus and Mary College. Read more
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