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

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Collegedunia Team

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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.

See Also:

BSc Maths 1st Year Subjects BSc Maths 2nd Year Subjects BSc Maths 3rd Year Subjects

B.Sc. Mathematics: Course Structure

The subjects of B.Sc. Mathematics courses 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

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

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) : 28 answered questions

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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. 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. 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 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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