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B-SC in Mathematics at Girls Degree College, Bilgram

Girls Degree College, Hardoi, established in 1963, is a premier institution affiliated with Chhatrapati Shahu Ji Maharaj University, Kanpur. Dedicated to women's education in Uttar Pradesh, it offers diverse undergraduate and postgraduate programs in Arts, Science, and Commerce, fostering academic excellence.

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location

Hardoi, Uttar Pradesh

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About the Specialization

What is Mathematics at Girls Degree College, Bilgram Hardoi?

This B.Sc. Mathematics program at Girls Degree College, Hardoi, focuses on foundational and advanced mathematical concepts, aligning with the New Education Policy 2020 guidelines. It provides a robust understanding of pure and applied mathematics, preparing students for analytical roles in the Indian market. The curriculum emphasizes problem-solving and logical reasoning skills, crucial for diverse career paths.

Who Should Apply?

This program is ideal for 10+2 science graduates with a strong aptitude for logical thinking and problem-solving. It suits students aspiring for careers in data science, finance, teaching, or research in India. Working professionals seeking to enhance their quantitative skills for career advancement or those aiming for higher studies in mathematics will also find it beneficial.

Why Choose This Course?

Graduates of this program can expect to pursue rewarding careers in India as data analysts, actuaries, statisticians, or educators. Entry-level salaries typically range from INR 3-6 lakhs per annum, with significant growth potential in specialized roles. The strong analytical foundation aligns with requirements for competitive exams and professional certifications in analytics.

Student Success Practices

Foundation Stage

Master Core Concepts Rigorously- (Semester 1-2)

Dedicate consistent time to understanding fundamental theorems and definitions in calculus and algebra. Form study groups with peers to discuss challenging problems and clarify doubts, reinforcing foundational knowledge for future semesters.

Tools & Resources

NCERT textbooks (for basics), NPTEL online courses, Khan Academy, Local study groups

Career Connection

A strong foundation is critical for advanced topics and entrance exams for higher studies or quantitative roles.

Develop Problem-Solving Skills- (Semester 1-2)

Practice a wide variety of problems beyond textbook examples. Focus on analytical thinking and proof-writing. Participate in college-level math quizzes or competitions to sharpen problem-solving under pressure.

Tools & Resources

Reference books (e.g., S. Chand, R.D. Sharma advanced series), Previous year university papers, Online math puzzles

Career Connection

Enhances logical reasoning, a key skill for competitive exams and analytical jobs in India.

Utilize Academic Mentorship- (Semester 1-2)

Regularly interact with professors for academic guidance and career counseling. Seek clarity on complex topics and explore potential research interests early on. This builds a strong academic network within the institution.

Tools & Resources

Faculty office hours, Departmental seminars, Academic workshops

Career Connection

Provides insights into academic and career pathways, including opportunities for research or specialized fields.

Intermediate Stage

Engage with Computational Tools- (Semester 3-5)

Actively learn and apply computational mathematics tools like Python, R, or specialized software (e.g., MATLAB, Mathematica) as part of skill enhancement courses. This bridges theoretical knowledge with practical application.

Tools & Resources

Python (NumPy, SciPy), R programming language, Online tutorials (e.g., Coursera, edX), CAS software labs

Career Connection

Highly valuable for data analysis, scientific computing, and quantitative finance roles in the Indian tech and finance sectors.

Pursue Internships and Projects- (Semester 3-5)

Seek short-term internships or participate in faculty-mentored projects in areas like data analysis, financial modeling, or academic research. These experiences provide crucial exposure to real-world applications of mathematics.

Tools & Resources

College placement cell, Online internship platforms (Internshala), Professor''''s research initiatives

Career Connection

Builds a practical portfolio, making students more attractive to potential employers for entry-level positions in India.

Explore Specialization through Electives- (Semester 3-5)

Carefully choose Discipline Specific Electives (DSEs) based on career interests, whether it''''s pure mathematics, applied statistics, or operations research. Dive deeper into these areas to build expertise and a niche profile.

Tools & Resources

Syllabus for DSE options, Career counselors, Industry expert talks

Career Connection

Helps in tailoring the degree towards specific career paths, increasing employability in specialized fields.

Advanced Stage

Focus on Placement and Higher Studies Preparation- (Semester 6)

Intensify preparation for placement interviews, competitive exams (e.g., JAM, GATE, bank PO exams), or GRE/CAT for higher education. Practice aptitude tests, technical rounds, and communication skills.

Tools & Resources

Online aptitude test platforms, Mock interview sessions, Career guidance workshops

Career Connection

Directly impacts securing placements in reputed companies or gaining admission to prestigious postgraduate programs in India and abroad.

Undertake a Research Project or Dissertation- (Semester 6)

Engage in a final year research project or dissertation under faculty supervision. This allows for in-depth exploration of a topic, development of independent research skills, and contribution to academic knowledge.

Tools & Resources

University library resources, Research journals, Faculty expertise

Career Connection

Demonstrates advanced analytical skills, critical for research-oriented careers, PhD admissions, or roles requiring in-depth problem-solving.

Network with Alumni and Industry Professionals- (Semester 6)

Attend industry seminars, workshops, and alumni meets organized by the college. Build connections with professionals in relevant fields, which can lead to mentorship, job opportunities, and industry insights.

Tools & Resources

LinkedIn, College alumni association, Industry conferences

Career Connection

Expands professional network, facilitating job searches, career guidance, and potential entrepreneurial ventures in India.

Program Structure and Curriculum

Eligibility:

  • 10+2 with Physics, Chemistry, and Mathematics from a recognized board, or equivalent, as per Chhatrapati Shahu Ji Maharaj University (CSJMU) admission norms.

Duration: 3 years (6 semesters)

Credits: Approximately 132-140 (as per NEP guidelines for a 3-year degree, specific total not explicitly summarized in CSJMU syllabus document, varies based on elective choices) Credits

Assessment: Internal: 25%, External: 75%

Semester-wise Curriculum Table

Semester 1

Subject CodeSubject NameSubject TypeCreditsKey Topics
Differential Calculus (Major)Core4Real Numbers and Sequences, Limits and Continuity, Differentiability and Mean Value Theorems, Successive Differentiation, Partial Differentiation and Euler''''s Theorem, Maxima and Minima of Functions
Food Nutrition & Hygiene (Co-curricular)Co-curricular2Concept of Nutrition, Balanced Diet and Malnutrition, Food Adulteration, Personal and Community Hygiene, Food Preservation

Semester 2

Subject CodeSubject NameSubject TypeCreditsKey Topics
Integral Calculus (Major)Core4Integration of Functions, Definite Integrals and Properties, Reduction Formulae, Area and Volume Calculation, Beta and Gamma Functions, Fourier Series
First Aid & Health (Co-curricular)Co-curricular2Basics of First Aid, Emergency Procedures, Common Injuries and Illnesses, CPR and Choking, Personal Safety and Accident Prevention

Semester 3

Subject CodeSubject NameSubject TypeCreditsKey Topics
Differential Equations (Major)Core4First Order Differential Equations, Higher Order Linear Differential Equations, Cauchy-Euler Equations, Method of Variation of Parameters, Total Differential Equations, Formation of Partial Differential Equations
Group Theory (Major)Core4Groups and Subgroups, Cyclic Groups and Permutation Groups, Normal Subgroups and Quotient Groups, Homomorphisms and Isomorphism Theorems, Sylow''''s Theorems, Group Actions
Computer Algebra Systems (Skill Enhancement Course)Skill Elective2Introduction to CAS (e.g., Mathematica, MATLAB, SageMath), Basic Syntax and Commands, Symbolic Computations, Numerical Methods Implementation, Plotting and Visualization

Semester 4

Subject CodeSubject NameSubject TypeCreditsKey Topics
Real Analysis (Major)Core4Sequences and Series of Real Numbers, Uniform Convergence, Power Series, Riemann Integration, Improper Integrals, Functions of Bounded Variation
Ring Theory & Linear Algebra (Major)Core4Rings, Ideals, and Quotient Rings, Integral Domains and Fields, Vector Spaces and Subspaces, Basis, Dimension, and Linear Transformations, Eigenvalues and Eigenvectors, Diagonalization
LaTeX for Mathematics (Skill Enhancement Course)Skill Elective2Introduction to LaTeX, Document Structure and Formatting, Typesetting Mathematical Equations, Tables and Figures, Creating Presentations (Beamer)

Semester 5

Subject CodeSubject NameSubject TypeCreditsKey Topics
Metric Spaces & Complex Analysis (Major)Core4Metric Spaces, Open and Closed Sets, Completeness and Compactness, Functions of Complex Variable, Analytic Functions and Cauchy-Riemann Equations, Complex Integration and Cauchy''''s Theorem, Residue Theorem and Applications
Numerical Methods (Major)Core4Solution of Algebraic and Transcendental Equations, Interpolation Techniques, Numerical Differentiation and Integration, Numerical Solution of Ordinary Differential Equations, Finite Differences, Approximation Theory
Abstract Algebra II (Discipline Specific Elective)Elective4Further Group Theory Topics, Advanced Ring Theory, Field Extensions, Galois Theory (Basic Concepts), Modules over Rings, Category Theory Basics
Operations Research (Discipline Specific Elective)Elective4Linear Programming Problems, Simplex Method, Duality in LPP, Transportation Problem, Assignment Problem, Game Theory (Basic Concepts)

Semester 6

Subject CodeSubject NameSubject TypeCreditsKey Topics
Functional Analysis & Topology (Major)Core4Normed Linear Spaces and Banach Spaces, Inner Product Spaces and Hilbert Spaces, Bounded Linear Operators, Topological Spaces, Open and Closed Sets, Continuity, Connectedness, and Compactness, Separation Axioms
Probability & Statistics (Major)Core4Probability Axioms and Conditional Probability, Random Variables and Distributions, Mathematical Expectation and Moments, Correlation and Regression, Sampling Distributions, Hypothesis Testing
Number Theory (Discipline Specific Elective)Elective4Divisibility and Euclidean Algorithm, Congruences and Modular Arithmetic, Prime Numbers and Prime Distribution, Diophantine Equations, Quadratic Residues, Arithmetic Functions
Mathematical Modeling (Discipline Specific Elective)Elective4Introduction to Mathematical Modeling, Difference Equation Models, Differential Equation Models, Population Dynamics Models, Spread of Disease Models, Optimization Models
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