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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

Ask your question

Answered Questions

PD

Praniti Das

28 Sept 21

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.

...Show More

VK

Vishal Kumar

15 Nov 22

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.

...Show More

SV

Shirsti Varma

11 Nov 21

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. 

...Show More

AS

Aniket Sinha

07 Oct 21

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.

...Show More

HS

Himangi Srivastava

18 Nov 22

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.

...Show More

SS

Santosh Singh

19 Oct 22

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.

...Show More

AG

Ashish Gupta

17 Nov 22

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.

...Show More

AA

Anjum Ali,

01 Nov 21

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.

...Show More

SM

Sahil Mishra

28 Jan 22
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. 

...Show More

AB

Aditi Banerjee

05 Apr 23

Whether you should opt for MnC at IIT Delhi or B.Math at ISI Bangalore depends on what you want from your graduation and your career prospects.

Academically both institutes are excellent and none is better than the other. So my answer entails the drastic difference in the curriculum and scope of the two programs.

Bachelor of Mathematics, ISI Bengaluru

This program has high-tech mathematical stuff and purely focuses on Mathematics. The Institute is smaller than IIT Delhi and ideal for those who have a single passion in life, Maths. The coursework consists of abstract algebra, analysis, probability theory, and so on. Additionally, it has compulsory courses in Statistics, Probability, and Physics as well. Although it offers some CS courses also, the program does not focus on Computer Science much.

Math and Computing (MnC), IIT Delhi

The curriculum of the MnC program is more inclined toward computer science than Mathematics. The program focuses more on applied mathematics, rather than pure mathematics. As a result, graduates from this course can start jobs earlier than those from ISI.

In a nutshell, if you are willing to go for higher education and research in mathematics, then ISI should be your goal. If you are a person interested in the practical application of concepts and want to eventually be employed in a company, then IIT Delhi is the best place for you.

...Show More

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