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B-SC in Mathematics at RK University

RK University, a premier private institution in Rajkot, Gujarat, established in 2008, is UGC recognized and NAAC 'A' Grade accredited. Spanning 100 acres, it offers diverse undergraduate, postgraduate, and doctoral programs. Known for its academic strength and vibrant campus life, it attracts students seeking quality education with promising career outcomes.

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location

Rajkot, Gujarat

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About the Specialization

What is Mathematics at RK University Rajkot?

This B.Sc. Mathematics program at RK University focuses on developing strong foundational and advanced mathematical skills. It emphasizes both theoretical concepts and their practical applications in diverse fields. The curriculum is designed to meet the growing demand for analytical and problem-solving abilities in various Indian industries, preparing students for dynamic career paths.

Who Should Apply?

This program is ideal for high school graduates with a strong aptitude and passion for mathematics, seeking a rigorous academic foundation. It also suits individuals aspiring for postgraduate studies in mathematics, statistics, or data science. Students with a keen interest in logical reasoning, quantitative analysis, and abstract thinking will thrive in this challenging yet rewarding environment.

Why Choose This Course?

Graduates of this program can expect to pursue India-specific career paths in data analysis, actuarial science, financial modeling, teaching, and research. Entry-level salaries typically range from INR 3-6 lakhs per annum, with significant growth potential up to INR 10-15 lakhs or more for experienced professionals in specialized roles. The curriculum also prepares students for competitive exams and higher education.

Student Success Practices

Foundation Stage

Master Core Concepts with Regular Practice- (Semester 1-2)

Dedicate daily time to solve problems from textbooks and reference materials for subjects like Abstract Algebra and Real Analysis. Focus on understanding the underlying theorems and proofs, not just memorizing formulas.

Tools & Resources

NPTEL videos for specific topics, Standard textbooks, Peer study groups

Career Connection

A strong conceptual foundation is crucial for advanced courses and for excelling in competitive exams and quantitative job roles.

Develop Computational Skills with Programming- (Semester 1-2)

Actively engage in practical sessions for Python/C++ or MATLAB, applying mathematical concepts to coding problems. Explore online platforms to practice coding logic and problem-solving, especially for Numerical Methods.

Tools & Resources

HackerRank, LeetCode (beginner problems), GeeksforGeeks, Python/R/MATLAB documentation

Career Connection

Essential for data science, quantitative finance, and research roles where computational mathematics is applied.

Participate in Mathematics Club Activities- (Semester 1-2)

Join the university''''s Mathematics or Science club to attend workshops, seminars, and quizzes. Engage in discussions with faculty and senior students to deepen understanding and explore advanced topics beyond the curriculum.

Tools & Resources

University''''s official club announcements, Departmental notice boards

Career Connection

Enhances soft skills, networking, and exposure to diverse mathematical applications, making students well-rounded.

Intermediate Stage

Deepen Conceptual Understanding for Advanced Topics- (Semester 3-4)

Focus on mastering core subjects like Linear Algebra, Complex Analysis, and Operations Research. Actively seek clarifications from faculty, engage in deep problem-solving, and try to visualize abstract concepts.

Tools & Resources

MIT OpenCourseWare for advanced mathematics, NPTEL advanced modules, Faculty office hours

Career Connection

Provides the analytical backbone required for advanced research, data modelling, and high-level problem-solving roles.

Explore Industry Applications through Workshops and Guest Lectures- (Semester 3-4)

Attend workshops and guest lectures organized by the university or external bodies that showcase the application of mathematics in fields like finance, engineering, or computing. This helps bridge theoretical knowledge with practical industry demands.

Tools & Resources

University events calendar, Professional bodies'''' seminar listings, Industry webinars

Career Connection

Provides insights into potential career paths, helps in networking with industry professionals, and informs DSE choices.

Build a Strong Foundation in Programming for Electives- (Semester 3-4)

If choosing programming-intensive electives like ''''Programming in C++'''' or ''''Graph Theory'''' (often computational), ensure a solid grasp of programming fundamentals. Practice coding algorithms related to these subjects regularly.

Tools & Resources

Online C++ tutorials, Competitive programming platforms, Specific libraries for graph theory (e.g., NetworkX in Python)

Career Connection

Crucial for roles requiring computational mathematics, software development in quant firms, or data analysis positions.

Advanced Stage

Undertake a Comprehensive Research Project/Internship- (Semester 5-6)

Work on the ''''Project - I'''' and ''''Project - II'''' and the ''''Internship/Industrial Training'''' with utmost sincerity. Choose topics relevant to career goals and aim for publishable quality work or impactful industry solutions.

Tools & Resources

Academic journals, Research databases (e.g., IEEE Xplore, JSTOR), Company reports, University research labs

Career Connection

This is a critical component for placements and postgraduate admissions, showcasing research capability, problem-solving skills, and practical application of knowledge.

Intensify Placement and Higher Education Preparation- (Semester 5-6)

Start preparing for campus placements, competitive exams (e.g., CAT, GATE, UPSC, actuarial exams), or postgraduate entrance exams (e.g., JAM, GRE) early. Focus on aptitude, logical reasoning, and domain-specific knowledge.

Tools & Resources

Coaching institutes, Online test series, Mock interviews, Career guidance cells

Career Connection

Directly impacts immediate career progression, whether entering the job market or pursuing further academic qualifications.

Network with Alumni and Industry Professionals- (Semester 5-6)

Actively engage with university alumni who are in relevant industries. Attend career fairs, industry conferences, and professional networking events. Seek mentorship and career advice to gain an edge in the job market.

Tools & Resources

LinkedIn, Alumni association events, Career seminars organized by the university

Career Connection

Opens doors to hidden job opportunities, provides insights into industry trends, and helps in building a professional support system.

Program Structure and Curriculum

Eligibility:

  • 10+2 with Physics, Chemistry, and Mathematics (PCM) or Physics, Mathematics, and Computer Science (PMCS) or Physics, Mathematics, and Statistics (PMS) with minimum 45% marks from a recognized board (40% for SC/ST/SEBC/EWS candidates).

Duration: 3 years (6 semesters)

Credits: 164 Credits

Assessment: Internal: 30% (for Theory), 50% (for Practical), External: 70% (for Theory), 50% (for Practical)

Semester-wise Curriculum Table

Semester 1

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA1101Abstract Algebra - ICore4Group Theory, Subgroups, Cyclic Groups, Permutation Groups, Homomorphisms, Isomorphisms
BSCMA1102Real Analysis - ICore4Real Number System, Sequences and Series, Limits of Functions, Continuity, Uniform Continuity, Compactness
BSCMA1103Ordinary Differential EquationsCore4First Order ODEs, Second Order Linear ODEs, Higher Order ODEs, Series Solutions, Laplace Transforms, Existence and Uniqueness
BSCMA1104Vector CalculusCore4Scalar and Vector Fields, Gradient, Divergence, Curl, Line Integrals, Surface Integrals, Volume Integrals, Green''''s, Stokes'''', Gauss''''s Theorems
BSCMA1105Probability and StatisticsCore4Probability Theory, Random Variables, Probability Distributions, Sampling Distributions, Estimation, Hypothesis Testing
BSCMA1106Practical - ILab2Computational Problem Solving, Software Application in Mathematics, Data Interpretation, Report Generation, Basic Mathematical Software Usage
BSCMA1107Indian Knowledge SystemAbility Enhancement Compulsory Course2Ancient Indian Sciences, Contributions to Mathematics, Astronomy, Ayurveda, Indian Philosophy, Logic Systems
BSCPT1101Soft Skills and Professional Ethics - ISkill Enhancement Course2Communication Skills, Interpersonal Skills, Time Management, Professionalism, Ethics in Academia, Teamwork

Semester 2

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA1201Abstract Algebra - IICore4Rings, Integral Domains, Fields, Polynomial Rings, Ideals, Ring Homomorphisms
BSCMA1202Real Analysis - IICore4Riemann Integration, Improper Integrals, Functions of Bounded Variation, Sequences and Series of Functions, Power Series, Fourier Series
BSCMA1203Partial Differential EquationsCore4First Order PDEs, Second Order PDEs, Method of Characteristics, Classification of PDEs, Wave Equation, Heat and Laplace Equations
BSCMA1204Numerical MethodsCore4Error Analysis, Root Finding Methods, Interpolation, Numerical Differentiation, Numerical Integration, Numerical Solutions of ODEs
BSCMA1205Discrete MathematicsCore4Logic and Proofs, Set Theory, Relations and Functions, Combinatorics, Graph Theory, Boolean Algebra
BSCMA1206Practical - IILab2Advanced Computational Techniques, Algorithm Implementation, Data Analysis, Graphical Representation, Solving Mathematical Models
BSCCE1201Environmental ScienceAbility Enhancement Compulsory Course2Ecosystems and Biodiversity, Environmental Pollution, Natural Resources, Sustainable Development, Climate Change, Environmental Management
BSCPT1201Soft Skills and Professional Ethics - IISkill Enhancement Course2Public Speaking, Presentation Skills, Conflict Resolution, Stress Management, Professional Etiquette, Leadership Skills

Semester 3

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA2301Linear Algebra - ICore4Vector Spaces, Subspaces, Linear Transformations, Rank-Nullity Theorem, Eigenvalues and Eigenvectors, Diagonalization
BSCMA2302Complex Analysis - ICore4Complex Numbers, Analytic Functions, Cauchy-Riemann Equations, Complex Integration, Cauchy''''s Integral Theorem, Power Series
BSCMA2303Operations ResearchCore4Linear Programming, Simplex Method, Duality Theory, Transportation Problem, Assignment Problem, Game Theory
BSCMA2304Mathematical ModellingCore4Introduction to Modelling, Compartmental Models, Population Dynamics, Epidemic Models, Models in Finance, Optimization Models
BSCMA2305Programming in C++Discipline Specific Elective4C++ Fundamentals, Object-Oriented Programming, Classes and Objects, Inheritance and Polymorphism, Data Structures in C++, File Handling
BSCMA2306Practical - IIILab2Programming for Mathematical Concepts, Simulation and Modeling, Numerical Experimentation, Data Handling, Solution Visualization
BSCPT2301Digital FluencySkill Enhancement Course2Digital Literacy, Internet Usage and Safety, Online Collaboration Tools, Data Privacy, Cybersecurity Basics, Digital Ethics
Generic Elective – 1 (Any one subject from other faculties)Generic Elective4

Semester 4

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA2401Linear Algebra - IICore4Inner Product Spaces, Orthogonality, Gram-Schmidt Process, Quadratic Forms, Canonical Forms, Jordan Forms
BSCMA2402Complex Analysis - IICore4Laurent Series, Residue Theorem, Conformal Mappings, Analytic Continuation, Riemann Surfaces, Harmonic Functions
BSCMA2403Differential GeometryCore4Curves in Space, Surfaces, First and Second Fundamental Forms, Gauss Curvature, Mean Curvature, Geodesics
BSCMA2404Introduction to TopologyCore4Topological Spaces, Open and Closed Sets, Continuous Functions, Connectedness, Compactness, Metric Spaces
BSCMA2405Graph TheoryDiscipline Specific Elective4Graphs and Subgraphs, Paths and Cycles, Trees, Connectivity, Euler and Hamiltonian Graphs, Planar Graphs and Coloring
BSCMA2406Practical - IVLab2Complex Mathematical Computations, Geometric Visualizations, Abstract Concept Implementation, Statistical Analysis, Software Development
BSCPT2401Design Thinking and InnovationSkill Enhancement Course2Design Thinking Process, Empathy and Ideation, Prototyping and Testing, Innovation Strategies, Creative Problem Solving, Mind Mapping
Generic Elective – 2 (Any one subject from other faculties)Generic Elective4

Semester 5

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA3501Measure TheoryCore4Lebesgue Measure, Measurable Functions, Lebesgue Integral, Convergence Theorems, Lp Spaces, Radon-Nikodym Theorem
BSCMA3502Functional AnalysisCore4Normed Linear Spaces, Banach Spaces, Hilbert Spaces, Linear Operators, Hahn-Banach Theorem, Open Mapping Theorem
BSCMA3503Number TheoryCore4Divisibility and Primes, Congruences, Diophantine Equations, Quadratic Residues, Arithmetic Functions, Introduction to Cryptography
BSCMA3504Data Science with PythonDiscipline Specific Elective4Python for Data Science, Data Manipulation with Pandas, Data Visualization with Matplotlib, Introduction to Machine Learning, Statistical Analysis, Feature Engineering
BSCMA3505Financial MathematicsDiscipline Specific Elective4Interest Rates and Annuities, Bonds and Stocks Valuation, Options and Futures, Black-Scholes Model, Risk Management, Portfolio Theory
BSCMA3506Practical - VLab2Measure Theory Applications, Functional Analysis Computations, Number Theory Algorithms, Data Science Techniques, Financial Modeling Simulations
Generic Elective – 3 (Any one subject from other faculties)Generic Elective4
BSCMA3507Project - IProject2Problem Identification, Literature Review, Research Methodology, Data Collection and Analysis, Report Writing, Presentation Skills

Semester 6

Subject CodeSubject NameSubject TypeCreditsKey Topics
BSCMA3601Advanced Abstract AlgebraCore4Modules, Vector Spaces over Fields, Field Extensions, Galois Theory, Solvable Groups, Polynomials over Fields
BSCMA3602Fourier Analysis and ApplicationsCore4Fourier Series, Fourier Transforms, Discrete Fourier Transform, Applications to PDEs, Signal Processing, Image Analysis
BSCMA3603CryptographyDiscipline Specific Elective4Classical Ciphers, Symmetric Key Cryptography, Asymmetric Key Cryptography, RSA Algorithm, Digital Signatures, Hash Functions
BSCMA3604BiomathematicsDiscipline Specific Elective4Population Dynamics, Epidemic Models, Enzyme Kinetics, DNA Structure Modeling, Mathematical Biology, Ecological Modelling
BSCMA3605Practical - VILab2Advanced Algebraic Computations, Fourier Analysis Implementations, Cryptographic Algorithms, Biomathematical Simulations, Research Software Usage
Generic Elective – 4 (Any one subject from other faculties)Generic Elective4
BSCMA3606Project - IIProject2Advanced Research Design, Model Development and Validation, Result Interpretation, Thesis Preparation, Scientific Communication, Independent Study
BSCMA3607Internship/Industrial TrainingInternship4Industry Exposure, Practical Skill Application, Real-world Project Execution, Professional Communication, Teamwork, Workplace Ethics, Internship Report
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