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BSc Maths Syllabus and Subjects 2024: Semester Wise, Year Wise, Course Structure

Course

Lipi Kaushik

Updated on 13th December, 2023 , 7 min read

BSc Maths Syllabus is divided according to the 3-year course curriculum. The syllabus include the topics like Trigonometry, Calculus, vector analysis, mathematical methods, etc. The BSc Maths subjects teaches the candidates about several mathematical concepts, their applications and much more. Furthermore, topics like Probability & Statistics, Group Theory, Mechanics, etc play a huge role in the BSc Maths Syllabus. Further, to know more about the BSc Maths Syllabus and Subjects, read the complete article below.

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BSc Maths Syllabus

BSc Maths Syllabus is based on the 4 year course that basically teaches the candidates about various topics like Group Theory, Integral Calculus, Analytical Geometry, etc. One who is interested in studying the BSC Maths course must be well versed with the whole syllabus.

BSc Maths Syllabus: Semester Wise

BSc Maths Syllabus

The below mentioned is the BSc Maths Syllabus Semester Wise:-

BSc Maths Syllabus: 1st Year

BSc Maths 1st Semester SyllabusBSc Maths 2nd Semester Syllabus
Elementary Algebra & TrigonometryGroup Theory
Differential CalculusIntegral Calculus
Geometry & Vector AnalysisAnalytical Geometry

BSc Maths Syllabus: 2nd Year

BSc Maths 3rd Semester SyllabusBSc Maths 4th Semester Syllabus
Advanced AlgebraVector Spaces & Matrices
Differential EquationsReal Analysis
MechanicsMathematical Methods

BSc Maths Syllabus: 3rd Year

BSc Maths 5th Semester SyllabusBSc Maths 6th Semester Syllabus
Linear AlgebraNumerical Methods
Complex AnalysisMathematical Statistics
Functions of Several Variables & Partial Differential EquationsOperations Research

Also Read : Syllabus of Other Specialisations:-

BSc Maths Subjects: Year - Wise

The BSc Maths Syllabus is of 3 years. Further, the following explains the BSc Maths Year-Wise Syllabus:-

BSc Maths Subjects: 1st Year

BSc Maths SubjectsDetails
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
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

Check out the Course wise Subjects Breakdown in the section below - 

BSc Maths Subjects: 2nd Year

BSc Maths SubjectsDetails
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 its 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, Stokes and Gauss Divergence Theorem 
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

BSc Maths Subjects: 3rd Year

BSc Maths SubjectsDetails
Metric Spaces
  • Topology and Metric Spaces 
  • Basic Concepts 
  • Connectedness and Compactness
  • Continuity & Uniform Continuity in Metric Spaces
Group Theory - I
  • Automorphism and Properties 
  • Group Action 
  • Sylow Theorems and Applications
  • External and Internal Direct Products of Groups

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BSc Maths Syllabus MDU

The course of BSc Maths is offered in Maharishi Dayanand University. The candidates aspiring to study this course from the varsity should be well-versed with the whole syllabus. Furthermore, below is the BSc Maths Syllabus MDU:-

BSc Maths MDU Subjects: Semester 1

  • Algebra
  • Calculus
  • Solid Geometry

BSc Maths MDU Subjects: Semester 2

  • Number Theory and Trigonometry
  • Ordinary Differential Equations
  • Vector Calculus

BSc Maths MDU Subjects: Semester 3

  • Advanced Calculus
  • Partial Differential Equations
  • Statics

BSc Maths MDU Subjects: Semester 4

  • Sequences and Series
  • Special Functions and Integral transforms
  • Programming in C and Numerical Methods

BSc Maths MDU Subjects: Semester 5

  • Real Analysis
  • Groups and Rings
  • Numerical Analysis

BSc Maths MDU Subjects: Semester 6

  • Real and Complex Analysis
  • Linear Algebra
  • Dynamics

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BSc Maths Syllabus DU

In the table below, one can see the BSc Maths Syllabus DU:-

BSc Maths Subjects SemesterBSc Maths Subjects
BSc Maths Syllabus : Semester 1
  • Calculus
  • Algebra
BSc Maths Syllabus : Semester 2
  • Real Analysis
  • Differential Equations
BSc Maths Syllabus : Semester 3
  • Theory of Real Functions
  • Group Theory-I
  • Multivariate Calculus
BSc Maths Syllabus : Semester 4
  • Partial Differential Equations
  • Riemann Integration and Series of Functions
  • Ring Theory and Linear Algebra-I
BSc Maths Syllabus : Semester 5
  • Partial Differential Equations
  • Riemann Integration and Series of Functions
  • Ring Theory and Linear Algebra-I
BSc Maths Syllabus : Semester 6
  • Complex Analysis
  • Ring Theory and Linear Algebra-II

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BSc Maths Syllabus: IGNOU

The candidates who are interested in pursuing the course of BSc Maths through IGNOU should know about the complete syllabus.

Additionally, the complete BSc Maths Subjects IGNOU can be found below:-

BSc Subject CodeName of the subject
MTE - 01Calculus
MTE - 02Linear Algebra
MTE - 03Mathematical Methods
MTE - 04Elementary Algebra
MTE - 05Analytical Geometry
MTE - 06Abstract Algebra
MTE - 07Advanced Calculus
MTE - 08Differential Equations
MTE - 09Real Analysis
MTE - 10Numerical Analysis
MTE - 11Probability and Statistics
MTE - 12Linear Programming
MTE - 13Discrete Mathematics
MTE - 14Mathematical Modelling

Also Read: BSc Salary in India

BSc Maths Syllabus KUK

The following table explains the complete BSc Maths Syllabus KUK:-

BSc Maths Syllabus KUK SemestersSubjects
Semester - 1
  • Algebra
  • Calculus
  • Solid Geometry
  • Number Theory And Trigonometry
Semester - 2
  • Ordinary Differential Equations
  • Vector Calculus
Semester - 3
  • Advanced Calculus
  • Partial Differential Equations
  • Statics
Semester - 4
  • Sequences and Series
  • Special Functions And Integral Transforms
  • Programming in C & Numerical Methods
Semester - 5
  • Real Analysis
  • Groups and Rings
  • Numerical Analysis
  • Differential Geometry
  • Mathematical Modeling – I
  • Applications of Mathematics in Finance
  • Probability Theory
  • Number Theory
  • Discrete Mathematics - I
  • Mechanics
  • Principles of Computer Science-I
  • Computational Mathematics Laboratory-I
Semester - 6
  • Real & Complex Analysis
  • Linear Algebra
  • Dynamics
  • Optimization
  • Riemannian Geometry
  • Discrete Mathematics - II
  • Hydrostatic
  • Combinatorial Number Theory
  • Application of Mathematics in Insurance
  • Principles of Computer Science-II
  • Computational Mathematics Laboratory-II

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BSc Maths Syllabus: Kanpur University

The candidates who are interested in pursuing the course of Kanpur University should make sure to be completely acquainted with the full syllabus. Furthermore, the BSc Maths Kanpur University Syllabus can be found below:-

YearSubjects
1st Year
  • Algebra 
  • Calculus 
  • Computer Programming
  • Computer Programming Lab
  • English 
  • Linear Algebra 
  • Ordinary Differential Equations 
  • Environmental Science                                                                         
  • Object-Oriented programming
  • Object-Oriented programming lab
2nd Year
  • Real Analysis                                                               
  • Partial Differential Equation                                                                                          
  • Data Structures                                                     
  • Data Structures Lab
  • Advanced Calculus 
  • Vector and Tensor Analysis
  • Analytical geometry
3rd Year
  • Analysis
  • Abstract Algebra
  • Probability Theory and Statistics                                                                             
  • Complex Analysis
  • Operations Research
  • Mechanics

BSc Maths Course Structure

The course of BSc Maths is a three year program that includes topics like data analysis, differential equations, etc. Furthermore, the BSC Maths course is structured around the six semesters. The candidates aspiring to pursue the BSC Maths course should know about the complete course structure. Also, the structure includes the project submission.

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Top Colleges Offering BSc Maths Course

The following are the colleges that offer the BSc Maths Course:-

Name of the CollegeBSc Maths Course Fees
St Stephen's CollegeINR 42.84 K
Hindu CollegeINR 20.46 K
Lady Shri RamINR 20.67 K
Miranda HouseINR 19.80 K
Loyola CollegeINR 16.79 K
Hansraj CollegeINR 24.52 K
Presidency CollegeINR 1.27 K
Fergusson CollegeINR 11.13 K
SXC CollegeINR 60.50 K
KMCINR 14.60 K
St Xaviers CollegeINR 7.19 K
Ramjas CollegeINR 14.61 K
Ramakrishna Mission VidyamandiraINR 14.40 K
Shri Venkateshwara CollegeINR 14.55 K
Stella Maris CollegeINR 22.89 K
Atma Ram Sanatan Dharma CollegeINR 13.35 K
Deen Dayal Upadhyaya CollegeINR 19.34 K

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BSc Maths Syllabus Books

The candidates who want to pursue the BSc Maths course should prepare for the same with the following books:-

BSc Maths Syllabus BooksName of the author
Basic Abstract AlgebraBhattacharya
Calculus and Analytic GeometryGB Thomas and RL Jinney
Functional Analysis and ApplicationsS. Kesavan
Contemporary Abstract AlgebraJoseph A. Gallian
CalculusSingle and Multivariable by Hughes and Hallet

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Frequently Asked Questions

What is BSc Maths Syllabus?

Ans. The BSc Maths Syllabus includes 3 semesters curriculum subjects. The subjects in BSc Maths 2022 include Elementary Algebra & Trigonometry, Group Theory, Linear Algebra, Numerical Methods, Complex Analysis, etc.

What is BSc Maths Syllabus 2nd Year?

Ans. The syllabus of BSc Maths in the 2nd year includes Continuous Functions and their Properties, Limits of Functions, Groups and its Elementary Properties, Group Homomorphism, Permutation Groups and Lagrange’s Theorem, etc.

How can I download the BSc Maths Syllabus PDF?

Ans. To download BSc Maths Syllabus PDF, one can go to the official website of the authority and then go to the syllabus tab and then click on the PDF link and then download the same.

What are the BSc Maths future job prospects?

Ans. The future are the job opportunities after BSc:- Banking Teaching Top Careers Data Science Government Services And much more…

What is the BSc Maths Syllabus 1st Year?

Ans. The syllabus of the 1st year of BSc Maths comprises Elementary Algebra & Trigonometry, Differential Calculus, Geometry & Vector Analysis.

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.

What are the subjects in BSc Maths Semester 2?

Ans. The BSc Maths 2nd Semester subjects include Number Theory and Trigonometry, Ordinary Differential Equations, Vector Calculus, etc.

How can I download BSc Maths 1st Year PDF?

Ans. The BSc Maths Syllabus 1st Year PDF can be downloaded by going to the authority’s official website, selecting the "Syllabus" option, and then clicking the "PDF" link.

Is BSc Maths course offered in MDU?

Ans. Yes, BSc Maths course is provided in MDU. The BSc Maths MDU Syllabus includes Algebra, Calculus, Solid Geometry, etc.

What is BSc Maths Syllabus KUK?

Ans. The BSc Maths Syllabus KUK includes Advanced Calculus, Partial Differential Equations, Statics, etc.

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