.png&w=1920&q=75)
B-SC in Mathematics at Galgotias University
Gautam Buddh Nagar, Uttar Pradesh
.png&w=1920&q=75)
About the Specialization
What is Mathematics at Galgotias University Gautam Buddh Nagar?
This B.Sc. (Hons.) Mathematics program at Galgotias University focuses on developing a strong theoretical foundation in various branches of pure and applied mathematics. It emphasizes analytical, logical, and computational skills crucial for problem-solving in diverse fields. The curriculum integrates core mathematical concepts with programming and data science fundamentals, aligning with the growing demand for mathematically skilled professionals in India''''s technology and analytics sectors. This program distinguishes itself by combining rigorous mathematical theory with practical computational applications.
Who Should Apply?
This program is ideal for high school graduates with a keen interest in mathematics and strong analytical abilities, seeking a solid academic base. It''''s also suitable for students aspiring to pursue higher education in mathematics, statistics, computer science, or related quantitative fields. Individuals passionate about logical reasoning, abstract thinking, and problem-solving, who wish to apply mathematical principles to real-world challenges, will find this specialization particularly rewarding. Prior strong performance in PCM (Physics, Chemistry, Mathematics) is a key prerequisite.
Why Choose This Course?
Graduates of this program can expect to pursue diverse career paths in India, including roles as data analysts, quantitative researchers, actuarial scientists, educators, and software developers. Entry-level salaries typically range from INR 3-6 LPA, with experienced professionals potentially earning INR 8-15+ LPA in leading Indian companies and MNCs. The program provides a strong foundation for competitive examinations and further studies like M.Sc., MBA, or Ph.D., opening avenues for growth in academia, finance, IT, and R&D sectors across the country.
Student Success Practices
Foundation Stage
Strengthen Core Mathematical Concepts- (Semester 1-2)
Dedicate consistent time to understanding fundamental concepts in Calculus, Algebra, and Real Analysis. Don''''t just memorize formulas; grasp the underlying principles and proofs. Form study groups to discuss challenging problems and clarify doubts.
Tools & Resources
NCERT textbooks (revisit), NPTEL lectures, Khan Academy, Local coaching centers
Career Connection
A strong mathematical foundation is critical for advanced courses and forms the bedrock for analytical roles in data science, finance, and research.
Develop Programming Logic Early- (Semester 1-2)
Actively engage with the ''''Programming in C'''' and ''''Python Programming'''' courses. Practice coding daily on platforms like HackerRank, GeeksforGeeks, and LeetCode to build robust problem-solving logic and syntax proficiency. Focus on understanding data structures and algorithms.
Tools & Resources
HackerRank, GeeksforGeeks, CodeChef, Python documentation, Online tutorials
Career Connection
Essential for roles in data analysis, software development, quantitative modeling, and almost any tech-driven career in India.
Cultivate Effective Study Habits & Peer Learning- (Semester 1-2)
Establish a regular study routine, attend all lectures, and actively participate in tutorials. Form collaborative study groups with peers to exchange ideas, practice problem-solving, and prepare for examinations together. Teach concepts to others to solidify your own understanding.
Tools & Resources
University library, Departmental common rooms, Online collaboration tools, Whiteboards
Career Connection
Develops teamwork, communication skills, and accountability, which are highly valued in any professional environment.
Intermediate Stage
Deepen Specialization in Abstract & Applied Math- (Semester 3-5)
As you delve into Complex Analysis, Abstract Algebra, and Linear Algebra, seek out advanced problems and supplementary texts. For applied areas like Numerical Analysis and Probability & Statistics, work on mini-projects to see real-world applications.
Tools & Resources
Standard textbooks (e.g., Rudin, Hoffman & Kunze), NPTEL advanced courses, Research papers on specific topics
Career Connection
These subjects are foundational for quantitative research, academia, advanced data science, and actuarial roles in India.
Gain Practical Data Science Skills using R- (Semester 3-5)
Beyond coursework, actively work on data analysis projects using R. Participate in Kaggle competitions or undertake small projects from publicly available datasets to apply statistical concepts, data visualization, and basic machine learning.
Tools & Resources
RStudio, Kaggle, Coursera/edX courses on R for Data Science, UCI Machine Learning Repository
Career Connection
Directly prepares you for roles as a data analyst, business intelligence analyst, or junior data scientist in India''''s booming analytics industry.
Engage in Extracurriculars and Competitions- (Semester 3-5)
Join university clubs related to mathematics, coding, or analytics. Participate in inter-college math olympiads, programming contests (e.g., ACM-ICPC style), or data hackathons. These experiences build problem-solving under pressure and expand your network.
Tools & Resources
Local university clubs, Competitive programming platforms, Hackathon announcement boards
Career Connection
Enhances your resume, demonstrates initiative, hones competitive skills, and provides networking opportunities with industry professionals and peers.
Advanced Stage
Undertake a Comprehensive Research Project/Dissertation- (Semester 6)
Choose a research topic early, align with a faculty mentor, and dedicate significant effort to your final year project or dissertation. Focus on independent research, rigorous methodology, and a well-structured report.
Tools & Resources
University library research databases (JSTOR, SpringerLink), LaTeX for typesetting, Citation management tools (Mendeley, Zotero)
Career Connection
Develops advanced research skills, critical thinking, and independent problem-solving abilities highly valued in R&D, academia, and for pursuing higher degrees.
Intensify Placement and Higher Education Preparation- (Semester 6)
Start preparing for placements or entrance exams (e.g., JAM for M.Sc., CAT for MBA) systematically. Polish your resume, practice aptitude tests, group discussions, and mock interviews. Tailor your skills to specific job roles or higher education programs.
Tools & Resources
University placement cell, Online aptitude test platforms (indiabix.com), LinkedIn for networking, Career counselors
Career Connection
Directly facilitates securing internships and full-time job offers in core mathematical roles, data science, or admission to prestigious postgraduate programs in India and abroad.
Build a Professional Network and Personal Brand- (Semester 6)
Attend industry seminars, workshops, and career fairs hosted by the university or in the region. Connect with alumni and professionals on LinkedIn. Start building an online portfolio or GitHub repository showcasing your projects and skills.
Tools & Resources
LinkedIn, GitHub, Industry events, Alumni network portals
Career Connection
Opens doors to hidden job opportunities, mentorship, and provides insights into industry trends, significantly boosting long-term career prospects.
Program Structure and Curriculum
Eligibility:
- 10+2 with Physics, Chemistry and Mathematics with minimum 50% marks in PCM (from official program page)
Duration: 3 years (6 Semesters)
Credits: 122 Credits
Assessment: Internal: 30%, External: 70%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM1001 | Calculus | Core Course (CC) | 4 | Functions of Several Variables, Partial Derivatives, Maxi ma and Minima, Multiple Integrals, Vector Calculus |
| BSHM1002 | Algebra | Core Course (CC) | 4 | Basic Properties of Integers, Complex Numbers, Theory of Equations, Relations and Functions, Group Theory Basics |
| BSHM1003 | Programming in C | Core Course (CC) | 3 | Introduction to C, Operators and Expressions, Control Statements, Functions and Pointers, Arrays and Structures |
| BSHM1004 | Programming in C Lab | Lab | 2 | C Programming Basics, Control Structures Implementation, Functions and Pointers Practice, Arrays and Strings Operations, File Handling in C |
| BSEN1001 | English for Communication | Ability Enhancement Compulsory Course (AECC) | 2 | Reading Comprehension, Writing Skills, Listening and Speaking Skills, Grammar and Vocabulary, Presentation Techniques |
| BSEN1002 | English for Communication Lab | Lab | 1 | Practical Communication Exercises, Group Discussions, Public Speaking Practice, Interview Skills, Pronunciation Drills |
| EVSP1001 | Environmental Science | Ability Enhancement Compulsory Course (AECC) | 2 | Ecosystems and Biodiversity, Natural Resources, Environmental Pollution, Climate Change, Environmental Protection Acts |
| VBCS1001 | Value Based Course (Human Values & Ethics) | Value Added Course (VAC) | 2 | Introduction to Ethics, Human Values, Morality and Righteousness, Professional Ethics, Social Responsibility |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM1005 | Differential Equations | Core Course (CC) | 4 | First Order Differential Equations, Higher Order Linear ODEs, Series Solutions of ODEs, Laplace Transforms, Systems of Linear Differential Equations |
| BSHM1006 | Real Analysis | Core Course (CC) | 4 | Real Number System, Sequences and Series, Limits and Continuity, Differentiation, Riemann Integration |
| BSHM1007 | Python Programming | Core Course (CC) | 3 | Python Basics, Data Structures (Lists, Tuples, Dictionaries), Functions and Modules, Object-Oriented Programming in Python, File I/O and Exception Handling |
| BSHM1008 | Python Programming Lab | Lab | 2 | Practical Python Scripting, Data Structure Implementation, Function and Module Development, OOP Concepts Application, File Operations in Python |
| CHPE1001 | Constitution of India | Ability Enhancement Compulsory Course (AECC) | 2 | Historical Background of Indian Constitution, Preamble and Fundamental Rights, Directive Principles of State Policy, Union and State Governments, Amendment Procedures |
| BSEN1003 | Technical Communication | Core Course (CC) | 2 | Principles of Technical Communication, Technical Reports and Proposals, Business Correspondence, Presentation Skills, Research Paper Writing |
| BSEN1004 | Technical Communication Lab | Lab | 1 | Practical Technical Writing, Mock Presentations, Resume Building, Report Formatting, Oral Communication Drills |
| SKSP1001 | Skill Enhancement Course (SEC-I) | Skill Enhancement Course (SEC) | 2 | Analytical Reasoning, Problem-Solving Techniques, Communication Enhancement, Basic Computer Literacy, Critical Thinking |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM2001 | Complex Analysis | Core Course (CC) | 4 | Complex Numbers and Functions, Analytic Functions, Complex Integration (Cauchy''''s Theorem), Series Expansions (Taylor, Laurent), Residue Theorem and Applications |
| BSHM2002 | Abstract Algebra | Core Course (CC) | 4 | Groups and Subgroups, Normal Subgroups and Quotient Groups, Homomorphisms and Isomorphisms, Rings and Integral Domains, Fields and Vector Spaces |
| BSHM2003 | Mathematical Methods | Core Course (CC) | 4 | Fourier Series, Fourier Transforms, Laplace Transforms, Partial Differential Equations (PDEs), Wave and Heat Equations |
| BSHM2004 | Data Science Basics using R | Core Course (CC) | 3 | Introduction to R Programming, Data Structures in R, Data Manipulation and Cleaning, Data Visualization with R, Basic Statistical Analysis |
| BSHM2005 | Data Science Basics using R Lab | Lab | 2 | R Programming Environment, Data Import and Export, Statistical Modeling in R, Generating Plots and Graphs, Creating R Functions |
| BSHM2006 | Skill Enhancement Course (SEC-II) | Skill Enhancement Course (SEC) | 2 | Data Interpretation Skills, Logical Reasoning, Quantitative Aptitude, Technical Report Writing, Effective Presentation Skills |
| SKSP2001 | Universal Human Values & Professional Ethics | Value Added Course (VAC) | 3 | Understanding Harmony in Existence, Human-Human Relationship, Ethical Human Conduct, Professional Ethics, Holistic Education |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM2007 | Metric Spaces and Topology | Core Course (CC) | 4 | Metric Spaces, Open and Closed Sets, Convergence and Completeness, Compactness and Connectedness, Introduction to Topological Spaces |
| BSHM2008 | Linear Algebra | Core Course (CC) | 4 | Vector Spaces and Subspaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Diagonalization of Matrices |
| BSHM2009 | Numerical Analysis | Core Course (CC) | 3 | Error Analysis, Solutions of Algebraic Equations, Interpolation Techniques, Numerical Differentiation, Numerical Integration |
| BSHM2010 | Numerical Analysis Lab | Lab | 2 | Numerical Equation Solving, Interpolation Implementations, Numerical Calculus Practice, Curve Fitting Techniques, Programming Numerical Methods |
| BSHM2011 | Probability and Statistics | Core Course (CC) | 3 | Probability Theory, Random Variables and Distributions, Sampling Distributions, Hypothesis Testing, Regression and Correlation |
| BSHM2012 | Probability and Statistics Lab | Lab | 2 | Statistical Software Usage, Data Analysis with Probability, Hypothesis Testing Applications, Regression Model Building, Simulation of Random Events |
| BSHM2013 | Skill Enhancement Course (SEC-III) | Skill Enhancement Course (SEC) | 2 | Entrepreneurship Development, Project Management Basics, Digital Literacy, Business Communication, Interview Preparation Skills |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM3001 | Group Theory | Discipline Specific Elective (DSE) | 4 | Advanced Group Theory, Sylow''''s Theorems, Solvable and Nilpotent Groups, Group Actions, Direct and Semi-direct Products |
| BSHM3002 | Ring Theory | Discipline Specific Elective (DSE) | 4 | Rings and Ideals, Quotient Rings, Polynomial Rings, Unique Factorization Domains, Field Extensions |
| BSHM3003 | Optimization Techniques | Discipline Specific Elective (DSE) | 4 | Linear Programming, Simplex Method, Duality Theory, Transportation and Assignment Problems, Game Theory |
| BSHM3004 | Modelling and Simulation | Discipline Specific Elective (DSE) | 3 | Mathematical Models, Types of Simulation, Monte Carlo Method, System Dynamics, Queuing Theory Models |
| BSHM3005 | Modelling and Simulation Lab | Lab | 2 | Simulation Software Applications, Building Mathematical Models, Monte Carlo Simulations, Analysis of Simulation Results, Discrete Event Simulation |
| BSHM3006 | Skill Enhancement Course (SEC-IV) | Skill Enhancement Course (SEC) | 2 | Advanced Problem Solving, Data Analysis Tools and Techniques, Technical Presentation Skills, Teamwork and Collaboration, Basic Research Methodology |
| SKSP3001 | Research Project | Project | 1 | Literature Review, Problem Formulation, Research Design, Data Collection and Analysis, Report Writing |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BSHM3007 | Functional Analysis | Discipline Specific Elective (DSE) | 4 | Normed Linear Spaces, Banach Spaces, Hilbert Spaces, Linear Functionals, Hahn-Banach Theorem |
| BSHM3008 | Differential Geometry | Discipline Specific Elective (DSE) | 4 | Curves in Space, Surfaces and Their Properties, First and Second Fundamental Forms, Curvature and Torsion, Geodesics |
| BSHM3009 | Partial Differential Equations | Discipline Specific Elective (DSE) | 3 | First Order Linear PDEs, Second Order Linear PDEs, Classification of PDEs, Method of Characteristics, Heat and Wave Equations |
| BSHM3010 | Partial Differential Equations Lab | Lab | 2 | Numerical Methods for PDEs, Solving PDEs using Software, Visualization of Solutions, Finite Difference Methods, Boundary Value Problems |
| BSHM3011 | Dissertation/Project | Project | 3 | Independent Research and Study, Problem Identification, Methodology Development, Data Analysis and Interpretation, Dissertation Writing and Presentation |
| BSHM3012 | Viva Voce | Viva | 2 | Comprehensive Subject Knowledge, Project Defense, Research Understanding, Communication Skills, Overall Academic Grasp |
