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! Bachelor of Science in Mathematics is one of the most opted BSc courses after 12th Science and Commerce which will equip you with knowledge pertaining to various mathematical methods and their applications. Covering various facets of Geometry, Trigonometry, Statistics, and Calculus, the course will also help you apply the principles outside the purview of Mathematics in domains like Computer Science and Finance. To know more about the coursework, here is a blog that sheds light on the BSc Maths syllabus in detail.
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 AlgebraII 
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 45 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
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
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 HigherOrder Differential Equations
 Analysis of Mathematical Models
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
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
Semester 4
Partial Differential Equations
 FirstOrder 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 AlgebraI
 Introduction of Rings
 Ring Homomorphisms
 Introduction of Vector Spaces
 Linear Transformations
BSc Maths Syllabus: 3rd 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 indepth 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
Semesters  Subjects 
Semester 1  Calculus Algebra 
Semester 2  Real Analysis Differential Equations 
Semester 3  Theory of Real Functions Group TheoryI Multivariate Calculus 
Semester 4  Partial Differential Equations Riemann Integration and Series of Functions Ring Theory and Linear AlgebraI 
Semester 5  Metric Spaces Group TheoryII 
Semester 6  Complex Analysis – Ring Theory and Linear AlgebraII 
BSc Maths Syllabus: Pdf
BSc Maths Syllabus
Subject Code  Subject  Credits 
MTE01  Calculus  4 
MTE02  Linear Algebra  4 
MTE04  Elementary Algebra  2 
MTE05  Analytical Geometry  2 
MTE06  Abstract Algebra  4 
MTE07  Advanced Calculus  4 
MTE08  Differential Equations  4 
MTE09  Real Analysis  4 
MTE10  Numerical Analysis  4 
MTE11  Probability and Statistics  4 
MTE12  Linear Programming  4 
MTE13  Discrete Mathematics  4 
MTE14  Mathematical Modelling  4 
MTE03  Mathematical Methods  4 
Click Here to download the syllabus for BSc Maths by IGNOU.
Kumaun University: BSc Maths Syllabus
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 Kanpur Syllabus
BSc Maths Syllabus 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 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
BSc Maths Syllabus Books
 Mathematics For Degree Students For B.Sc. 1St Year by Mittal PK
 Magical Book on Quicker Maths Miraculous For Competitions by M Tyra
 BHU Banaras Hindu University B.sc Math Group Entrance Exam by Arihant Experts
 Mathematics For Degree Students For B.Sc. 2Nd Year by Mittal PK
 Mathematics For Degree Students by Rana US
FAQs
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, biomathematics cater, abstract algebra, mathematical finance, etc.
Ans: Calculus, Algebra, Real Analysis, Differential Equations.
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 complete the application formalities, assistance will be provided throughout the admission journey!
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! Bachelor of Science in Mathematics is one of the most opted BSc courses after 12th Science and Commerce which will equip you with knowledge pertaining to various mathematical methods and their applications. Covering various facets of Geometry, Trigonometry, Statistics, and Calculus, the course will also help you apply the principles outside the purview of Mathematics in domains like Computer Science and Finance. To know more about the coursework, here is a blog that sheds light on the BSc Maths syllabus in detail.
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 AlgebraII 
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 45 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
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
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 HigherOrder Differential Equations
 Analysis of Mathematical Models
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
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
Semester 4
Partial Differential Equations
 FirstOrder 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 AlgebraI
 Introduction of Rings
 Ring Homomorphisms
 Introduction of Vector Spaces
 Linear Transformations
BSc Maths Syllabus: 3rd 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 indepth 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
Semesters  Subjects 
Semester 1  Calculus Algebra 
Semester 2  Real Analysis Differential Equations 
Semester 3  Theory of Real Functions Group TheoryI Multivariate Calculus 
Semester 4  Partial Differential Equations Riemann Integration and Series of Functions Ring Theory and Linear AlgebraI 
Semester 5  Metric Spaces Group TheoryII 
Semester 6  Complex Analysis – Ring Theory and Linear AlgebraII 
BSc Maths Syllabus: Pdf
BSc Maths Syllabus
Subject Code  Subject  Credits 
MTE01  Calculus  4 
MTE02  Linear Algebra  4 
MTE04  Elementary Algebra  2 
MTE05  Analytical Geometry  2 
MTE06  Abstract Algebra  4 
MTE07  Advanced Calculus  4 
MTE08  Differential Equations  4 
MTE09  Real Analysis  4 
MTE10  Numerical Analysis  4 
MTE11  Probability and Statistics  4 
MTE12  Linear Programming  4 
MTE13  Discrete Mathematics  4 
MTE14  Mathematical Modelling  4 
MTE03  Mathematical Methods  4 
Click Here to download the syllabus for BSc Maths by IGNOU.
Kumaun University: BSc Maths Syllabus
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 Kanpur Syllabus
BSc Maths Syllabus 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 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
BSc Maths Syllabus Books
 Mathematics For Degree Students For B.Sc. 1St Year by Mittal PK
 Magical Book on Quicker Maths Miraculous For Competitions by M Tyra
 BHU Banaras Hindu University B.sc Math Group Entrance Exam by Arihant Experts
 Mathematics For Degree Students For B.Sc. 2Nd Year by Mittal PK
 Mathematics For Degree Students by Rana US
FAQs
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, biomathematics cater, abstract algebra, mathematical finance, etc.
Ans: Calculus, Algebra, Real Analysis, Differential Equations.
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 complete the application formalities, assistance will be provided throughout the admission journey!

Bsc. Sem3

Very good and concise information !

Hi Valmik,
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5 comments
Bsc. Sem3
Very good and concise information !
Hi Valmik,
Thanks for liking our content. Do check out:
https://leverageedu.com/blog/mscmathematics/
https://leverageedu.com/blog/pu/branchesofmathematics/
https://leverageedu.com/blog/commercewithmaths/
I like Geometry, Trigonometry, Statistics in syllabus.
Hey, those are really interesting subjects! Know more about other branches of Mathematics from here https://leverageedu.com/blog/branchesofmathematics/