BSc Maths Syllabus

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Do you have a knack for solving complex mathematical equations? Do you have exceptional analytical reasoning? Are you more interested in finding the limits of integration than yours? If yes, then, BSc Mathematics is an ideal course for you! It is a 3-year undergraduate academic course that focuses on the study of Geometry, Trigonometry, Statistics, Calculus, mathematical theories, and their applications. Moreover, it is designed to provide students with a strong foundational base in their preferred subject. To know more about the coursework, here is a blog that sheds light on the BSc Maths syllabus in detail.

What is the Eligibility Criteria for BSc Mathematics?

Before submitting the application for admission to BSc Mathematics, students must satisfy certain eligibility requirements as specified by the university. Although it can vary from university to university, here is a general idea about the eligibility criteria:

  • Students must have completed their higher secondary education (10+2) in PCM (Physics, Chemistry, and Mathematics).
  • Candidates must also secure a minimum of 60-70% aggregate in their 12th class.

What are the Subjects in BSc Mathematics?

Before we delve into the syllabus of the BSc Mathematics, let us first take a glance at the subjects you will come across in the course: 

1st Year Calculus
Real Analysis
Differential Equations 
2nd Year Theory of Real Functions
Group Theory- I
Multivariate Calculus
Partial Differential Equations
Riemann Integration and Series of Functions
Ring Theory and Linear Algebra- I
3rd YearMetric Spaces
Group Theory- II
Complex Analysis 
Ring Theory and Linear Algebra-II 

Note: This is for indicative purposes. The BSc Maths syllabus and subjects can vary from one university to another.

BSc Maths Syllabus: First Year 

In the first year of the course, you will be taught a variety of important topics spanning 4-5 subjects having different course objectives. The major emphasis will be laid on making you understand the concepts pertaining to planetary motion using calculus and geometric properties of conic sections. Differential equations, mathematical modelling, and their various applications will also be covered in the 1st year. Listed below are the subjects incorporated in the BSc Maths syllabus for the first year:

Semester 1

In Semester 1, the following major topics are covered.


  • Derivatives for Graphing and Applications
  • Sketching and Tracing of Curves
  • Volume and Area of Surfaces 
  • Vector Calculus and its Applications 


  • Theory of Equations and Complex Numbers 
  • Equivalence Relations and Functions 
  • Basic Number Theory 
  • Row Echelon Form of Matrices 

Semester 2

Some of the major topics covered under semester 2 are as follows

Real Analysis

  • Real Number System R
  • Properties of R
  • Infinite Series 
  • Sequences in R

Differential Equations

  • Population Growth Models 
  • Differential Equations and Mathematical Modeling 
  • Second and Higher-Order Differential Equations 
  • Analysis of Mathematical Models 

Also Read: Career after BSc Maths

BSc Maths Syalbus: Second Year

As you begin your journey for the second year of the course, you will get familiar with a variety of topics that will build a sound foundation for the third year. Key concepts of calculus, continuity, and limits, as well as a study of valued functions, will be taught. You will get to study in detail the symmetry of groups along with the fundamental theory of groups and their homomorphism. Here are some important subjects which form an integral part of the BSc Maths syllabus for the second year:

Semester 3

Under semester 3, the topics under the syllabus are:

Theory of Real Functions

  • Continuous Functions and their Properties 
  • Limits of Functions
  • Taylor’s Theorem and its Applications
  • Derivability and its Applications 

Group Theory- I

  • Subgroups and Cyclic Groups
  • Groups and their Elementary Properties 
  • Group Homomorphism
  • Permutation Groups and Lagrange’s Theorem 

Multivariate Calculus

  • Double and Triple Integrals
  • Calculus of Functions of Several Variables
  • Extrema of Functions of Two Variables and Properties of Vector Field 
  • Green’s, Stoke’s and Gauss’s Divergence Theorem 

Also Read: Commerce With Maths

Semester 4

For semester 4, you will find the following

Partial Differential Equations 

  • First-Order PDE and Method of Characteristics 
  • The Cauchy Problem and Wave Equations 
  • Mathematical Models and Classification of 2nd Order Linear PDE 
  • Method of Separation of Variables 

Riemann Integration and Series of Functions

  • Riemann Integration
  • Improper Integral
  • Sequence and Series of Functions
  • Power Series

Ring Theory and Linear Algebra-I

  • Introduction of Rings
  • Ring Homomorphisms
  • Introduction of Vector Spaces
  • Linear Transformations

Also Read: PhD in Mathematics

BSc Maths Syllabus: Third Year

The final year of your BSc Mathematics journey will constitute topics like Metric Spaces, Contour Integral, Numerical Analysis, etc through which you will be equipped with a deep understanding of metrics of closed or open balls along with various other areas of study. Furthermore, you will gain an in-depth understanding of the essential topics of abstract algebra and their applications. Enlisted below are the major subjects in the BSc Maths syllabus for 3rd year:

Metric Spaces

  • Topology and Metric Spaces 
  • Basic Concepts 
  • Connectedness and Compactness
  • Continuity & Uniform Continuity in Metric Spaces 

Group Theory- II

  • Automorphism and Properties 
  • Group Action 
  • Sylow Theorems and Applications
  • External and Internal Direct Products of Groups 

BSc Maths Syllabus DU

As per the DU syllabus for BSc Maths, the following segregation is found.

Semesters Subjects 
Semester 1-Calculus
Semester 2-Real Analysis
-Differential Equations
Semester 3-Theory of Real Functions
-Group Theory-I
-Multivariate Calculus 
Semester 4-Partial Differential Equations
-Riemann Integration and Series of Functions
-Ring Theory and Linear Algebra-I
Semester 5-Metric Spaces
-Group Theory-II
Semester 6-Complex Analysis
– Ring Theory and Linear Algebra-II

BSc Maths Syllabus: PDF

You can download the PDF version of BSc Maths syllabus down below!

BSc Maths Syllabus with Subject Codes

Subject CodeSubjectCredits
MTE-02Linear Algebra4
MTE-04Elementary Algebra2
MTE-05Analytical Geometry2
MTE-06Abstract Algebra4
MTE-07Advanced Calculus4
MTE-08Differential Equations4
MTE-09Real Analysis4
MTE-10Numerical Analysis4
MTE-11Probability and Statistics4
MTE-12Linear Programming4
MTE-13Discrete Mathematics4
MTE-14Mathematical Modelling4
MTE-03Mathematical Methods4

Click Here to download the syllabus for BSc Maths by IGNOU.

Career Opportunities after BSc Mathematics

After completing a BSc Mathematics degree, students can pursue a wide range of career opportunities. Below we have mentioned a few potential options for graduates of this field. However, it should be noted that the actual salary depends on your qualifications, work experience, and other factors.

Job ProfileAverage yearly salary 
Data Analyst$76633 – $82,212
Actuary $1,15,647 – $2,26,271 
Financial Analyst$76,531 – $85,482
Statistician $95354 – $99,960
Software Developer$119,012 – $127,260
Risk Analyst $62,553 – $97,396 

10 Best Universities Abroad to Study BSc Mathematics

Here is a list of top universities abroad that offer BSc Mathematics. 

University QS Rank 2024Course Name
University of Bath148Mathematics BSc (Hons)
Imperial College London6BSc Mathematics 
University College London9Mathematics BSc
University of YorkBSc (Hons) Mathematics
The University of Manchester32BSc Mathematics
Stanford University 5BSc Mathematics 
Vancouver Island University 1001-1200BSc Mathematics 
University of British Columbia 34BSc Mathematics 
University of Manitoba 671-680Mathematics (BSc)
University of Southampton 81BSc Mathematics with German

BSc Maths Syllabus for Kumaun University

Semester Subjects 
Semester 1-Elementary Algebra and Trigonometry
-Differential Calculus
-Geometry and Vector Analysis 
Semester 2-Group Theory 
-Integral Calculus -Analytical Geometry 
Semester 3-Advanced Algebra 
-Differential Equations 
Semester 4-Vector spaces and Matrices 
-Real Analysis 
-Mathematical Methods 
Semester 5-Linear Algebra
-Complex Analysis 
-Functions of several variables and Partial Differential Equations 
Semester 6-Numerical Methods
-Mathematical Statistics 
-Operations Research 

BSc Maths Syllabus for Kanpur University [PDF]

Here is the Downloadable PDF for the BSc Mathematics Syllabus Kanpur University

BSc Maths Syllabus for Lucknow University

Here are the important subjects from the Lucknow University syllabus-

  • Matrices & Differential Equations
  • Differential Calculus
  • Integral Calculus
  • Geometry
  • Algebra
  • Mathematical Methods 
  • Mechanics
  • Differential Equations

BSc Maths Syllabus for Calicut University

  • Foundations of Mathematics 
  • Informatics and Mathematical Software
  • Calculus
  • Calculus and Analytic Geometry
  • Vector Calculus
  • Abstract Algebra
  • Basic Mathematical Analysis
  • Numerical Methods
  • Real Analysis
  • Complex Analysis 
  • Differential Equations
  • Number Theory and Linear Algebra 
  • Open Courses offered by other departments
  1. Mathematics For Degree Students For B.Sc. 1St Year by Mittal PK
  2. Magical Book on Quicker Maths Miraculous For Competitions by M Tyra
  3. BHU Banaras Hindu University B.sc Math Group Entrance Exam by Arihant Experts
  4. Mathematics For Degree Students For B.Sc. 2Nd Year by Mittal PK
  5. Mathematics For Degree Students by Rana US


Q1. What is BSc Maths?

Ans: BSc in Mathematics is 3 years ( 6 semesters ) undergraduate course after the 12th science focuses on the study of pure and applied mathematics that includes linear algebra, statistics, numerical analysis, metric spaces, mechanics, bio-mathematics cater, abstract algebra, mathematical finance, etc.

Q2. What are the subjects in BSc Maths 1st year?

Ans: Calculus, Algebra, Real Analysis, Differential Equations.

Q3. What are the job opportunities after BSc Maths

Ans:  Data Analyst, Business Analyst, Maths Teacher, Professor, Economist, Content Developer, Statistician, Operation Manager, Data Scientist, etc.

Hopefully, through this blog, you are now familiar with the BSc Maths syllabus and the course content. If you aspire to get your career started in this field but are unsure of the admission process, then our experts at Leverage Edu will lend you a helping hand. From helping you draft an impressive SOP to completing the application formalities, assistance will be provided throughout the admission journey!

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