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BACHELOR-OF-ARTS in Mathematics 2 3 8 at Mariani College
Jorhat, Assam
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About the Specialization
What is Mathematics [2, 3, 8] at Mariani College Jorhat?
This Mathematics specialization program at Mariani College focuses on developing strong analytical, logical, and problem-solving skills crucial for various fields. It provides a comprehensive understanding of foundational and advanced mathematical concepts, equipping students for diverse career paths in India''''s evolving economy. The curriculum emphasizes both theoretical rigor and practical applications, preparing graduates to tackle complex challenges.
Who Should Apply?
This program is ideal for high school graduates with a keen interest and aptitude for mathematics, seeking a rigorous academic foundation. It also suits individuals aspiring for careers in data analysis, finance, actuarial science, teaching, or higher studies in mathematical sciences. Students aiming for competitive examinations requiring strong quantitative skills will find this specialization particularly beneficial.
Why Choose This Course?
Graduates of this program can expect to pursue careers in analytics, finance, IT, and education sectors across India. Entry-level salaries typically range from INR 3-5 lakhs per annum, with significant growth potential for experienced professionals in roles like data scientist or financial analyst. The program also serves as an excellent stepping stone for postgraduate studies (M.Sc., MBA) and research opportunities in leading Indian institutions.
Student Success Practices
Foundation Stage
Build Strong Conceptual Foundations- (Semester 1-2)
Focus intensely on mastering core mathematical concepts from Calculus, Algebra, and Real Analysis. Regular practice of textbook problems and solving extra exercises is crucial. Utilize online platforms like Khan Academy or NPTEL for supplementary learning and clarification of difficult topics.
Tools & Resources
Textbooks (e.g., NCERT, local authors), Khan Academy, NPTEL videos, Peer study groups
Career Connection
A solid foundation is essential for excelling in advanced subjects and for any quantitative role, demonstrating fundamental analytical aptitude to potential employers.
Develop Problem-Solving Aptitude- (Semester 1-2)
Engage in solving a wide variety of problems, not just rote memorization of formulas. Participate in college-level math competitions or problem-solving clubs to sharpen logical reasoning and critical thinking skills. This fosters a deeper understanding beyond mere calculations.
Tools & Resources
Problem books (e.g., by S. Chand, Arihant), Online puzzle/logic platforms, College Math Club
Career Connection
Enhances analytical thinking and equips students to break down complex business or scientific problems, a highly sought-after skill in IT and finance.
Cultivate Academic Discipline and Peer Learning- (Semester 1-2)
Establish a consistent study routine, attend all classes, and actively participate in discussions. Form small, focused study groups to discuss concepts, clarify doubts, and teach each other, which reinforces learning and exposes different perspectives.
Tools & Resources
Academic planners, College library resources, Collaborative online whiteboards (e.g., Google Jamboard)
Career Connection
Instills self-discipline and teamwork, crucial for collaborative work environments and demonstrating reliability to recruiters.
Intermediate Stage
Explore Applied Mathematics and Software Skills- (Semester 3-4)
Beyond theoretical concepts, start exploring the practical applications of Differential Equations and Numerical Methods. Learn programming languages like Python or R for statistical analysis and data visualization. Attend workshops on mathematical software like MATLAB/Octave or specialized tools taught in SECs.
Tools & Resources
Python/R programming tutorials (Coursera, Udemy), Jupyter Notebook, SCILAB/MATLAB, GeeksforGeeks for coding practice
Career Connection
Bridging theory with application makes graduates highly competitive for roles in data science, quantitative finance, and research, directly aligning with industry needs.
Engage in Mini-Projects and Internships- (Semester 3-4)
Seek opportunities for short-term internships, even if unpaid, or work on mini-projects under faculty guidance. Apply mathematical models to real-world datasets or problems. This hands-on experience builds a portfolio and demonstrates practical competence.
Tools & Resources
College career services, LinkedIn, Internshala, Kaggle for datasets
Career Connection
Practical experience significantly boosts resume value, providing industry exposure and making students more attractive for placements and future career growth.
Participate in National Level Competitions and Workshops- (Semester 3-4)
Take part in national mathematics Olympiads, coding competitions, or university-level workshops on advanced topics. This not only hones skills but also expands networks and provides exposure to contemporary mathematical challenges and tools.
Tools & Resources
India-specific math Olympiads, Inter-college coding contests, Professional body workshops
Career Connection
Distinguishes candidates, showcasing initiative, advanced problem-solving capabilities, and a commitment to continuous learning, valuable for high-growth roles.
Advanced Stage
Specialize and Conduct Independent Research- (Semester 5-6)
In semesters 5 and 6, dive deep into chosen DSEs like Metric Spaces, Complex Analysis, Linear Programming, or Number Theory. Identify a specific area of interest and attempt a small research project or paper under a faculty mentor. This develops advanced analytical and research capabilities.
Tools & Resources
Research papers (arXiv, JSTOR), University faculty guidance, LaTeX for typesetting reports
Career Connection
Prepares students for academic careers, advanced research roles, or positions requiring deep analytical thought and independent problem-solving in India''''s R&D sector.
Intensive Placement and Higher Studies Preparation- (Semester 5-6)
Begin rigorous preparation for campus placements, government competitive exams (UPSC, SSC, banking), or entrance exams for M.Sc./MBA. Focus on aptitude tests, logical reasoning, interview skills, and domain-specific technical rounds. Utilize online mock tests and coaching if needed.
Tools & Resources
Placement cells, Online aptitude platforms (e.g., IndiaBix), Interview preparation guides, GATE/CAT/NET study materials
Career Connection
Maximizes chances of securing coveted placements, admission to top postgraduate programs, or success in India''''s competitive public sector job market.
Develop Communication and Leadership Skills- (Semester 5-6)
Actively participate in seminars, present project findings, and engage in group discussions. Take on leadership roles in college events or departmental activities. Effective communication of complex mathematical ideas is vital for any professional role.
Tools & Resources
Toastmasters clubs (if available), College debate/public speaking forums, Mentorship from senior students/faculty
Career Connection
Essential for career progression, enabling effective team collaboration, client interactions, and leadership in managerial or scientific roles within Indian and global organizations.
Program Structure and Curriculum
Eligibility:
- Passed Higher Secondary Examination (10+2) or an equivalent examination recognized by Dibrugarh University, typically with Mathematics as a subject.
Duration: 6 semesters / 3 years
Credits: 136 Credits
Assessment: Internal: 20%, External: 80%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC101 | Calculus | Core Course (CC) | 6 | Differential Calculus, Integral Calculus, Applications of Calculus, Vectors, Partial Differentiation |
| BMATHCC102 | Algebra | Core Course (CC) | 6 | Groups and Subgroups, Cyclic Groups, Permutation Groups, Rings and Fields, Polynomial Rings |
| BAENGCE101 | Environmental Studies | Ability Enhancement Compulsory Course (AECC) | 4 | Natural Resources, Ecosystems, Biodiversity and Conservation, Environmental Pollution, Social Issues and the Environment |
| GE SUB 101 | Generic Elective I | Generic Elective (GE) | 6 | Varies by chosen discipline (e.g., Political Science, Economics, History), Fundamental concepts of the chosen subject, Introductory theories, Basic analytical tools, Key historical or contemporary issues |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC203 | Real Analysis | Core Course (CC) | 6 | Real Numbers and Sequences, Series of Real Numbers, Limits and Continuity, Differentiation of Real Functions, Uniform Convergence |
| BMATHCC204 | Differential Equations | Core Course (CC) | 6 | First Order Differential Equations, Second Order Linear Equations, Systems of Differential Equations, Series Solutions, Laplace Transforms |
| BAENGCE202 | English Communication | Ability Enhancement Compulsory Course (AECC) | 4 | Theory of Communication, Reading Comprehension, Writing Skills, Grammar and Usage, Presentation Skills |
| GE SUB 202 | Generic Elective II | Generic Elective (GE) | 6 | Varies by chosen discipline, Core concepts and methodologies, Theoretical frameworks, Analytical perspectives, Contemporary applications |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC305 | Theory of Real Functions | Core Course (CC) | 6 | Uniform Continuity, The Riemann Integral, Improper Integrals, Functions of Several Variables, Extreme Values |
| BMATHCC306 | Group Theory and Ring Theory | Core Course (CC) | 6 | Groups and Normal Subgroups, Homomorphisms and Isomorphisms, Rings and Ideals, Integral Domains and Fields, Quotient Rings |
| BMATHSE301 | Computer Algebra Systems and Related Software | Skill Enhancement Course (SEC) | 4 | Introduction to Computer Algebra Systems (CAS), LaTeX for Mathematical Typesetting, Plotting with GNUPLOT, Programming with SCILAB/MATLAB, Mathematical Software Applications |
| GE SUB 303 | Generic Elective III | Generic Elective (GE) | 6 | Varies by chosen discipline, Advanced topics in the selected subject, Research methodologies, Case studies and applications, Critical analysis and interpretation |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC407 | Partial Differential Equations and System of ODEs | Core Course (CC) | 6 | First Order Linear PDEs, Classification of Second Order PDEs, Wave Equation, Heat Equation, System of Linear Differential Equations |
| BMATHCC408 | Numerical Methods | Core Course (CC) | 6 | Errors in Numerical Computations, Solution of Algebraic and Transcendental Equations, Interpolation, Numerical Differentiation and Integration, Numerical Solution of Ordinary Differential Equations |
| BMATHSE402 | Financial Mathematics | Skill Enhancement Course (SEC) | 4 | Interest Theory, Annuities, Loan Repayment, Bonds and Stocks, Options and Futures |
| GE SUB 404 | Generic Elective IV | Generic Elective (GE) | 6 | Varies by chosen discipline, Specialized areas within the discipline, Current trends and debates, Policy implications, Interdisciplinary connections |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC509 | Multivariable Calculus | Core Course (CC) | 6 | Functions of Several Variables, Limits and Continuity, Partial Derivatives, Vector Fields, Multiple Integrals |
| BMATHCC510 | Probability and Statistics | Core Course (CC) | 6 | Probability Axioms, Random Variables and Distributions, Expectation and Variance, Central Limit Theorem, Hypothesis Testing |
| BMATHDE501 | Metric Spaces | Discipline Specific Elective (DSE) | 6 | Metric Spaces and Examples, Open and Closed Sets, Convergence and Completeness, Compactness, Connectedness |
| BMATHDE502 | Complex Analysis | Discipline Specific Elective (DSE) | 6 | Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations, Complex Integration, Residue Theorem |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| BMATHCC611 | Linear Algebra | Core Course (CC) | 6 | Vector Spaces and Subspaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Orthogonality |
| BMATHCC612 | Modern Algebra | Core Course (CC) | 6 | Advanced Group Theory, Sylow''''s Theorems, Solvable Groups, Field Extensions, Galois Theory (Introduction) |
| BMATHDE603 | Mechanics | Discipline Specific Elective (DSE) | 6 | Statics of Particles, Dynamics of Particles, Work and Energy, Rigid Body Dynamics, Oscillations and Waves |
| BMATHDE604 | Number Theory | Discipline Specific Elective (DSE) | 6 | Divisibility and Congruences, Primes and their Distributions, Diophantine Equations, Quadratic Residues, Introduction to Cryptography |
