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BSC in Mathematics at SSR College of Arts, Commerce and Science
Dadra and Nagar Haveli, Dadra and Nagar Haveli and Daman and Diu
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About the Specialization
What is Mathematics at SSR College of Arts, Commerce and Science Dadra and Nagar Haveli?
This BSc Mathematics program at SSR College of Arts, Commerce and Science focuses on building a strong foundation in pure and applied mathematics, aligned with the National Education Policy 2020. The curriculum emphasizes analytical thinking, problem-solving, and logical reasoning, preparing students for diverse roles in the data-driven Indian industry. It integrates theoretical concepts with practical applications, fostering a deep understanding of mathematical principles.
Who Should Apply?
This program is ideal for high school graduates with a keen interest in logical reasoning and abstract thinking. It suits aspiring researchers, educators, and those looking to enter data science, finance, or technology sectors in India. Working professionals seeking to strengthen their quantitative skills or career changers aiming for analytical roles will also find the rigorous curriculum beneficial, provided they meet the mathematical prerequisites.
Why Choose This Course?
Graduates of this program can expect to pursue various India-specific career paths, including data analyst, quantitative researcher, actuarial scientist, or educator. Entry-level salaries typically range from INR 3-6 LPA, growing significantly with experience, potentially reaching INR 10-20+ LPA for senior roles in major Indian cities. The program also serves as a strong foundation for higher studies like MSc, MBA, or research fellowships within top Indian institutions.
Student Success Practices
Foundation Stage
Master Core Concepts through Active Learning- (Semester 1-2)
Actively engage with fundamental topics like Calculus and Algebra by solving a wide range of problems daily. Don''''t just memorize formulas; understand the underlying proofs and principles. Form small study groups to discuss challenging concepts and explain solutions to peers, solidifying your understanding.
Tools & Resources
NCERT textbooks (for foundational review), NPTEL courses (online lectures), Khan Academy, Local coaching centers for competitive exam preparation
Career Connection
A strong grasp of fundamentals is crucial for passing competitive exams for higher studies or government jobs, and forms the bedrock for advanced mathematical applications in industry.
Develop Computational Skills with Software- (Semester 1-2)
Beyond theoretical knowledge, learn to apply mathematical concepts using computational tools. Utilize software like Python with libraries (NumPy, SciPy, Matplotlib) or R for solving problems in Calculus and Algebra labs. This practical skill is highly valued in the Indian analytics and data science job market.
Tools & Resources
Python (Anaconda distribution), Octave/Matlab, GeeksforGeeks for programming tutorials, Online courses on Coursera/edX for Python basics
Career Connection
Proficiency in computational tools is essential for roles like data analyst, quantitative researcher, and software developer, directly enhancing placement opportunities.
Build a Strong Aptitude and Reasoning Base- (Semester 1-2)
Dedicate time each week to practicing logical reasoning, quantitative aptitude, and basic data interpretation questions. These skills are not only covered in SECs but are also critical for entrance exams for MBA, government services, and campus placements in India. Participate in college-level aptitude tests.
Tools & Resources
IndiaBix.com, RS Aggarwal''''s Quantitative Aptitude book, Previous year question papers for competitive exams
Career Connection
High scores in aptitude tests are a primary screening criterion for many entry-level jobs and higher education admissions in India.
Intermediate Stage
Engage in Applied Projects and Internships- (Semester 3-4)
Seek out short-term projects or internships related to areas like Numerical Methods, Graph Theory, or Data Analysis. Collaborate with faculty on minor research projects or look for opportunities at local startups or NGOs. Applying theoretical knowledge to real-world problems builds practical experience.
Tools & Resources
College placement cell, LinkedIn for internship searches, Local startups or research labs, Kaggle for data science projects
Career Connection
Practical project experience is a significant differentiator in Indian job market, showcasing problem-solving abilities and industry readiness to potential employers.
Explore Interdisciplinary Applications of Mathematics- (Semester 3-4)
Utilize the Multidisciplinary (MD) course options to explore how mathematics interfaces with other fields like Physics, Economics, or Computer Science. This broadens your perspective and identifies potential niches for future specialization. Attend guest lectures and workshops on interdisciplinary topics.
Tools & Resources
College''''s MD course offerings, Inter-departmental seminars, Research papers on applied mathematics, YouTube channels like 3Blue1Brown
Career Connection
Interdisciplinary knowledge makes you a versatile candidate for roles that require understanding complex systems, such as actuarial science, financial modeling, or computational biology.
Participate in Mathematical Competitions and Olympiads- (Semester 3-5)
Challenge yourself by participating in national-level mathematical competitions or university-level problem-solving contests. These platforms enhance your analytical prowess, quick thinking, and ability to handle pressure, which are invaluable skills in any professional setting.
Tools & Resources
Indian National Mathematical Olympiad (INMO), University-level math clubs and contests, Online platforms like CodeChef or HackerRank (for algorithmic thinking)
Career Connection
Winning or even participating in such competitions demonstrates exceptional intellectual capability and problem-solving skills, highly regarded by recruiters and academic institutions.
Advanced Stage
Specialize through Discipline Specific Electives (DSEs)- (Semester 5-6)
Carefully choose DSEs in Semesters 5 and 6 that align with your career aspirations, whether it''''s Abstract Algebra for research, Financial Mathematics for the banking sector, or Cryptography for cybersecurity. Deep dive into these chosen areas to build specialized expertise, potentially leading to a capstone project.
Tools & Resources
Consult with faculty mentors for DSE guidance, Industry reports on emerging mathematical fields in India, Specialized textbooks and research journals
Career Connection
Specialized knowledge through DSEs makes you highly marketable for specific roles in finance, IT security, or advanced research in leading Indian organizations.
Undertake a Comprehensive Research Project or Internship- (Semester 5-6)
The compulsory project in Semesters 5 and 6 is a critical opportunity. Choose a topic that excites you and aligns with your career goals. Engage rigorously in literature review, data analysis, and report writing. For internships, target reputed firms in your chosen specialization to gain real industry exposure.
Tools & Resources
College''''s research labs, Faculty research areas, Internshala.com for internship opportunities, GitHub for project collaboration and showcasing work
Career Connection
A well-executed project or industry internship provides hands-on experience, networking opportunities, and often leads to pre-placement offers or strong recommendations for future roles.
Intensive Placement and Higher Studies Preparation- (Semester 5-6)
In the final year, dedicate significant time to preparing for placements or entrance exams for post-graduate studies (e.g., JAM, CAT). Attend mock interviews, group discussions, and technical skill workshops. Prepare a strong resume highlighting projects, skills, and academic achievements. Network with alumni.
Tools & Resources
College placement cell workshops, Online platforms for interview preparation (Glassdoor, LeetCode), Alumni network mentorship programs, Study materials for specific entrance exams
Career Connection
Strategic preparation ensures you are competitive for top placement opportunities in Indian companies or secure admission to prestigious Master''''s or PhD programs.
Program Structure and Curriculum
Eligibility:
- Candidates for admission to the first semester of the three-year B.Sc. (Mathematics) course should have passed the Higher Secondary School Certificate (10+2) examination with Mathematics as one of the subjects conducted by the Goa Board of Secondary and Higher Secondary Education or its equivalent examination.
Duration: 3 years / 6 semesters
Credits: 120 Credits
Assessment: Internal: 40% (Theory) / 50% (Practical), External: 60% (Theory) / 50% (Practical)
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-101 | Calculus | Major Course (Theory) | 4 | Real Numbers and Functions, Limits, Continuity and Differentiability, Mean Value Theorems and Applications, Partial Differentiation, Maxima and Minima, Curvature and Asymptotes |
| MTM-MP-101 | Calculus Lab | Major Course (Practical) | 2 | Plotting functions and curves, Calculating limits and derivatives, Finding maxima and minima, Exploring partial derivatives, Using software like Python/Octave/Matlab |
| MTM-MN-101 | Differential Equations | Minor Course | 4 | First Order Differential Equations, Exact Differential Equations, Linear Differential Equations, Second Order Linear Differential Equations, Homogeneous Equations, Applications of Differential Equations |
| MD101 | Multidisciplinary Course | Multidisciplinary | 3 | Students to choose one multidisciplinary course from the list provided by the college. |
| AE-101 | Environmental Science | Ability Enhancement Course (AEC) | 2 | Concept of Environment and Ecosystems, Natural Resources and Sustainable Development, Biodiversity and its Conservation, Environmental Pollution and Control, Climate Change and Environmental Legislation |
| SE-101 | Communication Skills | Skill Enhancement Course (SEC) | 2 | Introduction to Communication, Verbal and Non-Verbal Communication, Listening Skills, Presentation Skills, Group Discussion and Interview Techniques |
| VL-101 | Value Added Course | Value Added Course (VAC) | 2 | Students to choose one value added course from the list provided by the college. |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-202 | Algebra | Major Course (Theory) | 4 | Integers and Number Theory, Groups and Subgroups, Cyclic Groups and Permutation Groups, Homomorphisms and Isomorphisms, Rings and Fields |
| MTM-MP-202 | Algebra Lab | Major Course (Practical) | 2 | Set operations and relations, Permutations and combinations, Group properties and examples, Ring and field structures, Using computational algebra systems |
| MTM-MN-202 | Real Analysis | Minor Course | 4 | Real Number System, Sequences of Real Numbers, Series of Real Numbers, Limits and Continuity, Uniform Continuity, Differentiation of Real Functions |
| MD201 | Multidisciplinary Course | Multidisciplinary | 3 | Students to choose one multidisciplinary course from the list provided by the college. |
| AE-201 | Indian Constitution | Ability Enhancement Course (AEC) | 2 | Constituent Assembly and Preamble, Fundamental Rights and Duties, Directive Principles of State Policy, Union and State Governments, Emergency Provisions and Amendments |
| SE-201 | Data Analysis | Skill Enhancement Course (SEC) | 2 | Data Collection and Organization, Descriptive Statistics, Data Visualization Techniques, Introduction to Inferential Statistics, Data Interpretation using Software |
| VL-201 | Value Added Course | Value Added Course (VAC) | 2 | Students to choose one value added course from the list provided by the college. |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-303 | Theory of Real Functions | Major Course (Theory) | 4 | Riemann Integration, Improper Integrals, Functions of Bounded Variation, Sequences and Series of Functions, Uniform Convergence and Power Series, Fourier Series |
| MTM-MP-303 | Theory of Real Functions Lab | Major Course (Practical) | 2 | Numerical integration using software, Testing convergence of series, Approximating functions with Fourier series, Visualizing uniform convergence, Implementation of integral concepts |
| MTM-MN-303 | Numerical Methods | Minor Course | 4 | Solution of Algebraic and Transcendental Equations, Interpolation Techniques, Numerical Differentiation, Numerical Integration, Numerical Solution of Ordinary Differential Equations |
| MD301 | Multidisciplinary Course | Multidisciplinary | 3 | Students to choose one multidisciplinary course from the list provided by the college. |
| SE-301 | Logical Reasoning | Skill Enhancement Course (SEC) | 2 | Verbal Reasoning, Non-Verbal Reasoning, Analytical Reasoning, Critical Thinking and Problem Solving, Data Sufficiency |
| VL-301 | Value Added Course | Value Added Course (VAC) | 2 | Students to choose one value added course from the list provided by the college. |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-404 | Complex Analysis | Major Course (Theory) | 4 | Complex Numbers and Functions, Analytic Functions and Cauchy-Riemann Equations, Complex Integration and Cauchy''''s Theorem, Taylor and Laurent Series, Residue Theory and Applications, Conformal Mappings |
| MTM-MP-404 | Complex Analysis Lab | Major Course (Practical) | 2 | Plotting complex functions and transformations, Verifying Cauchy-Riemann equations, Evaluating complex integrals numerically, Series expansion of complex functions, Visualizing conformal mappings |
| MTM-MN-404 | Graph Theory | Minor Course | 4 | Introduction to Graphs, Paths, Circuits and Connectedness, Trees and Spanning Trees, Planar Graphs, Graph Coloring, Applications of Graph Theory |
| MD401 | Multidisciplinary Course | Multidisciplinary | 3 | Students to choose one multidisciplinary course from the list provided by the college. |
| SE-401 | Financial Literacy | Skill Enhancement Course (SEC) | 2 | Basics of Personal Finance, Banking and Digital Payments, Investment Planning, Insurance Concepts, Taxation and Budgeting |
| VL-401 | Value Added Course | Value Added Course (VAC) | 2 | Students to choose one value added course from the list provided by the college. |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-505 | Abstract Algebra | Major Course (Theory) | 4 | Groups, Subgroups and Quotient Groups, Homomorphisms and Isomorphisms of Groups, Sylow Theorems, Rings and Integral Domains, Fields and Field Extensions |
| MTM-MP-505 | Abstract Algebra Lab | Major Course (Practical) | 2 | Exploring group structures with software, Analyzing properties of rings and fields, Computing homomorphisms and isomorphisms, Generating examples of abstract algebraic structures, Using GAP or similar tools |
| MTM-MJ-506 | Metric Spaces | Major Course (Theory) | 4 | Metric Spaces and Examples, Open and Closed Sets, Neighborhoods, Convergent Sequences and Completeness, Continuous Functions on Metric Spaces, Compactness, Connectedness |
| MTM-DSE-507 (i) | Linear Programming Problems | Discipline Specific Elective (DSE) | 4 | Introduction to Linear Programming, Graphical Method, Simplex Method, Duality in LPP, Transportation Problem, Assignment Problem |
| MTM-DSE-507 (ii) | Probability and Statistics | Discipline Specific Elective (DSE) | 4 | Basic Probability Theory, Random Variables and Distributions, Expectation and Variance, Sampling Distributions, Estimation and Hypothesis Testing, Regression and Correlation |
| MTM-DSE-507 (iii) | Mathematical Modeling | Discipline Specific Elective (DSE) | 4 | Introduction to Mathematical Modeling, Compartment Models, Population Dynamics Models, Models in Economics and Finance, Optimization Models, Case Studies in Modeling |
| MTM-DSE-508 (i) | Number Theory | Discipline Specific Elective (DSE) | 4 | Divisibility and Euclidean Algorithm, Congruences, Prime Numbers and Factorization, Diophantine Equations, Quadratic Residues, Cryptographic Applications |
| MTM-DSE-508 (ii) | Operations Research | Discipline Specific Elective (DSE) | 4 | Introduction to Operations Research, Network Analysis (CPM/PERT), Inventory Control Models, Queuing Theory, Game Theory, Decision Theory |
| MTM-DSE-508 (iii) | Financial Mathematics | Discipline Specific Elective (DSE) | 4 | Interest Rates and Discounting, Annuities and Loans, Bonds and Stocks, Introduction to Derivatives, Black-Scholes Model Basics, Portfolio Management |
| SEC-501 | Skill Enhancement Course | Skill Enhancement Course (SEC) | 2 | Students to choose one skill enhancement course from the list provided by the college. |
| MTM-PR-501 | Project (or Internship/Apprenticeship) | Project/Internship | 4 | Problem Identification and Scope, Literature Review and Research Methodology, Data Collection and Analysis, Solution Design and Implementation, Report Writing and Presentation |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-MJ-607 | Linear Algebra | Major Course (Theory) | 4 | Vector Spaces and Subspaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Orthogonality and Gram-Schmidt Process, Diagonalization and Quadratic Forms |
| MTM-MP-607 | Linear Algebra Lab | Major Course (Practical) | 2 | Vector space operations and properties, Matrix operations and transformations, Computing eigenvalues and eigenvectors, Orthogonalization using software, Solving systems of linear equations |
| MTM-MJ-608 | Discrete Mathematics | Major Course (Theory) | 4 | Logic and Proofs, Sets, Relations and Functions, Counting and Combinatorics, Recurrence Relations, Graph Theory Basics, Boolean Algebra |
| MTM-DSE-609 (i) | Cryptography | Discipline Specific Elective (DSE) | 4 | Classical Ciphers, Symmetric Key Cryptography (DES, AES), Asymmetric Key Cryptography (RSA), Hashing and Digital Signatures, Key Management, Elliptic Curve Cryptography Basics |
| MTM-DSE-609 (ii) | Biomathematics | Discipline Specific Elective (DSE) | 4 | Population Dynamics Models, Epidemic Models, Enzyme Kinetics, Compartmental Models, Bioinformatics Basics, Mathematical Models in Physiology |
| MTM-DSE-609 (iii) | Differential Geometry | Discipline Specific Elective (DSE) | 4 | Curves in Space, Surfaces and First Fundamental Form, Second Fundamental Form, Curvature of Surfaces, Geodesics, Parallel Transport |
| MTM-DSE-610 (i) | Mechanics | Discipline Specific Elective (DSE) | 4 | Statics of Particles and Rigid Bodies, Kinematics and Dynamics of a Particle, Work, Energy and Conservation Laws, Collisions and Impulse, Rotational Motion, Simple Harmonic Motion |
| MTM-DSE-610 (ii) | Fluid Dynamics | Discipline Specific Elective (DSE) | 4 | Properties of Fluids, Kinematics of Fluid Flow, Equations of Motion (Euler, Navier-Stokes), Viscous Flow, Potential Flow, Boundary Layer Theory |
| MTM-DSE-610 (iii) | Tensor Analysis | Discipline Specific Elective (DSE) | 4 | Coordinate Transformations, Tensors of Different Ranks, Covariant and Contravariant Tensors, Metric Tensor and Riemannian Geometry, Tensor Calculus, Applications in Physics |
| SEC-601 | Skill Enhancement Course | Skill Enhancement Course (SEC) | 2 | Students to choose one skill enhancement course from the list provided by the college. |
| MTM-PR-602 | Project (or Internship/Apprenticeship) | Project/Internship | 4 | Advanced Problem Solving, In-depth Literature Review and Research, Methodology Implementation and Testing, Result Analysis and Discussion, Comprehensive Report and Oral Defense |
