BSc Maths Syllabus

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: 

Year	Subjects
1st Year	Calculus Algebra 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 Year	Metric 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.

Calculus

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

Algebra

• 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 -Algebra
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 Code	Subject	Credits
MTE-01	Calculus	4
MTE-02	Linear Algebra	4
MTE-04	Elementary Algebra	2
MTE-05	Analytical Geometry	2
MTE-06	Abstract Algebra	4
MTE-07	Advanced Calculus	4
MTE-08	Differential Equations	4
MTE-09	Real Analysis	4
MTE-10	Numerical Analysis	4
MTE-11	Probability and Statistics	4
MTE-12	Linear Programming	4
MTE-13	Discrete Mathematics	4
MTE-14	Mathematical Modelling	4
MTE-03	Mathematical Methods	4

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 Profile	Average 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 2024	Course Name
University of Bath	148	Mathematics BSc (Hons)
Imperial College London	6	BSc Mathematics
University College London	9	Mathematics BSc
University of York		BSc (Hons) Mathematics
The University of Manchester	32	BSc Mathematics
Stanford University	5	BSc Mathematics
Vancouver Island University	1001-1200	BSc Mathematics
University of British Columbia	34	BSc Mathematics
University of Manitoba	671-680	Mathematics (BSc)
University of Southampton	81	BSc 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  -Mechanics
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

Recommended Books for BSc Maths Syllabus

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

FAQs

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!