RKMV Unnao-image

B-SC in Mathematics at Ramkrishna Paramhans Mahavidyalaya

Ramkrishna Paramhans Mahavidyalaya is a recognized institution located in Unnao, Uttar Pradesh. Affiliated with Chhatrapati Shahu Ji Maharaj University (CSJMU), Kanpur, it offers foundational undergraduate programs including BA, BSc, BCom, and BEd, focusing on accessible higher education in the region.

READ MORE
location

Unnao, Uttar Pradesh

Compare colleges

About the Specialization

What is Mathematics at Ramkrishna Paramhans Mahavidyalaya Unnao?

This B.Sc. Mathematics program at Ramkrishna Paramhans Mahavidyalaya, affiliated with CSJMU, focuses on building a strong foundation in both pure and applied mathematics. It covers core areas like Calculus, Algebra, Real and Complex Analysis, Differential Equations, and Numerical Analysis, preparing students for diverse analytical challenges. The curriculum, aligned with NEP 2020, emphasizes conceptual clarity and problem-solving skills, which are crucial for scientific and technological advancements in India.

Who Should Apply?

This program is ideal for students with a strong aptitude for numbers, logical reasoning, and abstract thinking, typically with a 10+2 science background including Mathematics. It suits fresh graduates aspiring for postgraduate studies in Mathematics, Statistics, Computer Science, or Economics. It also targets those seeking analytical roles in sectors like finance, data science, research, or education within the Indian market, or individuals aiming for competitive civil services examinations.

Why Choose This Course?

Graduates of this program can expect diverse career paths in India, including roles in data analytics, actuarial science, financial modeling, teaching, and academic research. Entry-level salaries for fresh graduates typically range from INR 3-5 LPA, with experienced professionals earning significantly more in specialized fields. The strong analytical foundation also prepares students exceptionally well for competitive examinations like UPSC, SSC, and various postgraduate entrance tests, ensuring robust growth trajectories in Indian companies and public sector.

OTHER SPECIALIZATIONS

Student Success Practices

Foundation Stage

Master Core Concepts and Problem Solving- (Semester 1-2)

Dedicate significant time to understanding fundamental theorems and definitions in Calculus and Algebra. Practice a wide range of problems daily, moving from basic exercises to more complex, application-based questions. Utilize online resources like Khan Academy, NPTEL lectures, and NCERT textbooks for supplementary learning to strengthen your base.

Tools & Resources

Textbooks, NPTEL/SWAYAM courses, Problem sets, Peer study groups

Career Connection

A strong conceptual foundation in early semesters is critical for excelling in advanced subjects and forms the bedrock for analytical roles in data science, finance, or research.

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

Actively engage with the ''''Programming in C'''' or similar computational courses offered. Learn to use mathematical software like MATLAB, Python with NumPy/SciPy, or Octave for solving mathematical problems, numerical computations, and visualizing data. Participate in coding challenges or small projects to apply theoretical knowledge.

Tools & Resources

CodeChef, GeeksforGeeks, Jupyter Notebook, MATLAB/Octave, Python

Career Connection

Computational skills are indispensable in modern careers, making graduates highly valuable for roles in scientific computing, data analytics, and algorithmic development.

Join Study Circles and Academic Clubs- (Semester 1-2)

Form or join study groups with peers to discuss challenging topics, clarify doubts, and prepare for exams collectively. Participate in any college-level mathematics or science clubs to engage in academic debates, quizzes, and project work, fostering a deeper understanding and collaborative spirit within the institutional context.

Tools & Resources

College library, Dedicated study rooms, Online collaboration tools

Career Connection

Peer learning enhances problem-solving abilities and communication, vital soft skills for team-based professional environments in any industry.

Intermediate Stage

Explore Practical Applications and Internships- (Semester 3-5)

Look for short-term internships or projects that apply mathematical concepts to real-world problems in fields like finance, statistics, or engineering. Engage with faculty for research assistant opportunities or undertake minor projects, focusing on areas like mathematical modeling or data analysis to gain practical exposure.

Tools & Resources

LinkedIn, Internshala, College career cell, Faculty network

Career Connection

Practical exposure translates theoretical knowledge into tangible skills, making you more employable and providing clarity on potential career paths in India''''s growing analytics and finance sectors.

Specialize through Electives and Advanced Learning- (Semester 3-5)

Carefully choose Discipline Specific Electives (DSEs) based on your career interests, whether it''''s Discrete Mathematics for computer science or Operations Research for management. Supplement your coursework with advanced online courses from platforms like Coursera or edX in specialized areas like actuarial science or quantitative finance.

Tools & Resources

Coursera, edX, NPTEL advanced courses, Specialized textbooks

Career Connection

Specialization builds expertise, enabling you to target specific roles in emerging fields like actuarial science, cryptography, or quantitative finance, significantly enhancing your market value.

Prepare for Competitive Examinations- (Semester 3-5)

Begin preparing for entrance exams for postgraduate studies (e.g., IIT-JAM for M.Sc., MCA entrances) or competitive government exams (e.g., SSC CGL, UPSC Civil Services) that require strong quantitative aptitude. Regularly practice past papers and consider joining local coaching classes if feasible for structured preparation.

Tools & Resources

Previous year papers, Coaching institutes, Online test series, Quantitative aptitude books

Career Connection

Early preparation improves chances of admission to top institutions or securing coveted government jobs, providing stable and growth-oriented career trajectories.

Advanced Stage

Undertake a Capstone Project or Dissertation- (Semester 6)

Work on a substantial research project or a dissertation under faculty supervision. This could involve exploring a mathematical problem in depth, developing a new model, or conducting data analysis. Present your findings at college seminars or local conferences to gain valuable presentation experience.

Tools & Resources

Academic journals, Research papers, Statistical software (R, Python), LaTeX for typesetting

Career Connection

A capstone project showcases advanced problem-solving, research, and presentation skills, crucial for higher studies, R&D roles, or specialized analyst positions.

Network Professionally and Attend Workshops- (Semester 6)

Attend mathematics workshops, seminars, and conferences (even online) to interact with academics and industry experts. Connect with alumni through college events or professional networking platforms like LinkedIn to gain insights into career opportunities and industry trends, especially within the Indian context.

Tools & Resources

LinkedIn, Professional society memberships, Conference calendars

Career Connection

Networking opens doors to job opportunities, mentorship, and collaborative projects, crucial for career advancement and staying updated in the dynamic Indian job market.

Refine Placement and Interview Skills- (Semester 6)

Actively participate in placement drives organized by the college. Practice aptitude tests, group discussions, and technical interviews. Work on improving communication skills and resume building, highlighting your mathematical prowess and any project work to stand out to recruiters.

Tools & Resources

Mock interviews, Aptitude test books, Resume workshops, Company websites

Career Connection

Polished placement skills directly lead to securing coveted jobs in various sectors like IT, finance, education, and government, ensuring a smooth transition from academics to professional life.

Program Structure and Curriculum

Eligibility:

  • 10+2 (Intermediate) with Mathematics as a subject from a recognized board, as per Chhatrapati Shahu Ji Maharaj University (CSJMU) norms.

Duration: 3 Years (6 Semesters)

Credits: 60 (for Major - Mathematics subjects as per NEP 2020 CSJMU guidelines) Credits

Assessment: Internal: 25% (Internal Assessment, Mid-term exams, assignments), External: 75% (End Semester University Examination)

Semester-wise Curriculum Table

Semester 1

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM101TDifferential Calculus (Theory)Major Core4Successive Differentiation, Partial Differentiation, Asymptotes and Curve Tracing, Maxima and Minima of Functions of Two Variables, Jacobians, Envelopes and Evolutes
BM101PDifferential Calculus (Practical)Major Core (Practical)2Graphing functions using computational software, Numerical methods for derivatives, Applications of differentiation in geometry and physics, Solving problems related to maxima/minima
Food Nutrition & HygieneCo-curricular2Basic nutrition, Food safety, Balanced diet principles, Personal and community hygiene practices
Basic Computer ApplicationsVocational2Computer fundamentals, Operating system basics, MS Office suite, Internet and digital communication
Ability Enhancement Course (AEC)AEC2Environmental Studies, Hindi Language, English Communication Skills

Semester 2

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM201TIntegral Calculus (Theory)Major Core4Reduction Formulae, Quadrature and Rectification, Volumes and Surfaces of Revolution, Double and Triple Integrals, Dirichlet''''s Integral and Beta-Gamma Functions
BM201PIntegral Calculus (Practical)Major Core (Practical)2Numerical methods for integration, Applications of definite integrals, Area and volume calculations using software, Evaluation of multiple integrals
Ana. Human Physiology & First AidCo-curricular2Human body systems, Basic anatomy, Common diseases, Emergency first aid procedures
Vocational Course (VC)Vocational2Choice from given vocational list, e.g., Office Management & Entrepreneurship, Spoken English
Ability Enhancement Course (AEC)AEC2Environmental Studies, Hindi Language, English Communication Skills

Semester 3

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM301TDifferential Equations & Integral Transforms (Theory)Major Core4First Order Differential Equations, Second Order Linear Differential Equations, Partial Differential Equations of First Order, Laplace Transform and its properties, Inverse Laplace Transform
BM301PDifferential Equations & Integral Transforms (Practical)Major Core (Practical)2Solving differential equations using computational tools, Applications of Laplace transforms in engineering, Modeling real-world problems with DEs, Numerical solutions for ODEs
Programming in CSkill Enhancement Course (SEC)2C language basics, Data types, operators, and expressions, Control flow statements, Functions, arrays, and pointers, File handling in C
General Knowledge & Current AffairsCo-curricular2Indian history and geography, Polity and economy, Science and technology updates, Current national and international events
Vocational Course (VC)Vocational2Choice from given vocational list, e.g., Renewable Energy Technologies, Web Designing

Semester 4

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM401TAlgebra (Theory)Major Core4Group Theory (Subgroups, Normal Subgroups, Isomorphism), Ring Theory (Integral Domains, Fields, Homomorphisms), Vector Spaces (Basis, Dimension, Linear Independence), Linear Transformations and Matrices, Cayley''''s Theorem and Lagrange''''s Theorem
BM401PAlgebra (Practical)Major Core (Practical)2Computational algebra systems (e.g., GAP, SageMath), Matrix operations and properties, Vector space problems and basis constructions, Simulations of group and ring structures
Mathematical ModelingSkill Enhancement Course (SEC)2Introduction to mathematical modeling, Discrete and continuous models, Population dynamics models, Compartmental models, Techniques for model validation
Physical Education & YogaCo-curricular2Physical fitness components, Basic sports rules, Yoga asanas and meditation, Health and wellness principles
Vocational Course (VC)Vocational2Choice from given vocational list, e.g., Data Entry & Office Automation, Spoken English

Semester 5

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM501TLinear Algebra (Theory)Major Core4Vector Spaces and Subspaces, Linear Transformations and their Matrix Representations, Eigenvalues and Eigenvectors, Inner Product Spaces and Orthogonality, Diagonalization and Jordan Canonical Form
BM502TReal Analysis (Theory)Major Core4Real Number System (Axioms, Completeness), Sequences and Series of Real Numbers, Continuity and Uniform Continuity, Differentiability of Functions of One Variable, Riemann Integral and Fundamental Theorem of Calculus
BM503DEDiscrete MathematicsMajor Discipline Specific Elective (DSE)4Logic and Propositional Calculus, Set Theory and Relations, Combinatorics (Counting, Permutations, Combinations), Graph Theory (Paths, Cycles, Trees), Boolean Algebra and Lattices
BM504PLinear Algebra & Real Analysis (Practical)Major Core (Practical)2Matrix computations with software (e.g., Python, R), Numerical methods for eigenvalues and eigenvectors, Visualization of real functions and sequences, Approximation of definite integrals
Analytical Ability and Digital AwarenessCo-curricular2Logical reasoning, Data interpretation, Digital literacy fundamentals, Cyber security awareness
Vocational Course (VC)Vocational2Choice from given vocational list

Semester 6

Subject CodeSubject NameSubject TypeCreditsKey Topics
BM601TComplex Analysis (Theory)Major Core4Complex Numbers and Functions, Analytic Functions (Cauchy-Riemann Equations), Complex Integration (Cauchy''''s Theorem, Integral Formula), Singularities and Residues, Conformal Mappings
BM602TNumerical Analysis (Theory)Major Core4Errors and Approximations, Solution of Algebraic and Transcendental Equations, Interpolation and Polynomial Approximation, Numerical Differentiation and Integration, Numerical Solution of Ordinary Differential Equations
BM603DEOperations ResearchMajor Discipline Specific Elective (DSE)4Linear Programming Problems (LPP), Simplex Method and Duality, Transportation Problem, Assignment Problem, Game Theory and Inventory Control
BM604PComplex Analysis & Numerical Analysis (Practical)Major Core (Practical)2Visualization of complex functions, Numerical solution of complex equations, Implementation of interpolation techniques, Numerical integration and differentiation using software
Professional CommunicationCo-curricular2Verbal and non-verbal communication, Presentation skills, Report writing and documentation, Interview techniques and group discussions
Vocational Course (VC)Vocational2Choice from given vocational list
whatsapp

Chat with us