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B-SC in Mathematics at SMT. DEVKIBA MOHANSINHJI CHAUHAN COLLEGE OF COMMERCE AND SCIENCE
Dadra & Nagar Haveli, Dadra and Nagar Haveli and Daman and Diu
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About the Specialization
What is Mathematics at SMT. DEVKIBA MOHANSINHJI CHAUHAN COLLEGE OF COMMERCE AND SCIENCE Dadra & Nagar Haveli?
This B.Sc. Mathematics program at LIONS CLUB OF SILVASSA CHARITABLE TRUST''''S SMT DEVKIBA MOHANSINHJI CHAUHAN COLLEGE OF COMMERCE AND SCIENCE focuses on building a strong foundation in pure and applied mathematics. Rooted in the curriculum of Veer Narmad South Gujarat University, the program emphasizes analytical thinking, problem-solving, and logical reasoning, crucial skills for various Indian industries like finance, data science, and IT. The curriculum offers a comprehensive journey from fundamental calculus and algebra to advanced topics like real analysis, complex analysis, and abstract algebra, preparing students for diverse intellectual challenges.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude for mathematics and a curiosity for abstract concepts and logical puzzles. It caters to students aspiring for careers in research, academia, data analysis, actuarial science, or quantitative finance within India. Individuals aiming for postgraduate studies like M.Sc. in Mathematics, Statistics, or even MBA with a quantitative focus, will find this a robust foundation. Prerequisite backgrounds typically include a 10+2 science stream with Mathematics as a core subject.
Why Choose This Course?
Graduates of this program can expect to pursue various India-specific career paths, including Junior Data Scientist, Business Analyst, Actuarial Analyst, Quantitative Researcher, or roles in teaching and research. Entry-level salaries typically range from INR 3-6 lakhs per annum, with significant growth potential to INR 8-15 lakhs+ for experienced professionals in analytical roles. The strong theoretical base also opens doors for competitive exams (UPSC, banking) and professional certifications in fields like actuarial science.
Student Success Practices
Foundation Stage
Master Core Concepts with Problem Solving- (Semester 1-2)
Focus on deeply understanding Calculus and Algebra fundamentals. Utilize online platforms like NPTEL for supplemental lectures, and practice problems extensively from textbooks and competitive exam archives (e.g., IIT-JAM mathematics section for foundational topics). This builds the logical backbone necessary for advanced topics and strengthens problem-solving skills critical for interviews.
Tools & Resources
NPTEL online courses, IIT-JAM previous year papers, Standard Mathematics Textbooks
Career Connection
Strong foundational understanding is key for technical interviews and competitive exams in analytical fields.
Develop Scientific Computation Skills- (Semester 1-2)
Learn basic programming (Python or R) and spreadsheet operations alongside theoretical subjects. Explore tools like SymPy or NumPy. This practical skill, even if not explicitly taught in all initial courses, is invaluable for scientific data handling and future analytical roles, making students more industry-ready.
Tools & Resources
Python (with NumPy/SymPy), R programming language, Microsoft Excel / Google Sheets
Career Connection
Essential for data analysis, scientific computing, and quantitative roles in various industries.
Engage in Peer Learning & Discussion Groups- (Semester 1-2)
Form study groups to discuss complex topics, solve problems together, and explain concepts to each other. Utilize college library resources and common rooms for collaborative learning. This enhances understanding, builds communication skills, and fosters a supportive academic environment, improving overall academic performance.
Tools & Resources
College Library, Study Group discussions, Online collaborative tools (e.g., Google Docs)
Career Connection
Develops teamwork and communication skills, vital for professional environments and group projects.
Intermediate Stage
Apply Theoretical Knowledge to Real-world Problems- (Semester 3-4)
Seek out opportunities to apply concepts from Real Analysis, Differential Equations, and Numerical Methods to practical scenarios. Participate in college-level science fairs or mini-projects that involve mathematical modeling. This practical application bridges the gap between theory and real-world utility, making concepts more tangible and enhancing analytical project skills.
Tools & Resources
Faculty research projects, College science fairs, Mathematical modeling competitions
Career Connection
Demonstrates problem-solving capabilities and ability to translate theoretical knowledge into practical solutions, attractive to employers.
Explore Mathematical Software & Tools- (Semester 3-4)
Deepen proficiency in mathematical software like MATLAB, Mathematica, or advanced Python libraries (SciPy, Pandas). Attend workshops or online courses to learn these tools beyond the curriculum. This equips students with essential industry tools, making them more attractive for roles in quantitative finance, data science, or engineering analysis.
Tools & Resources
MATLAB / Octave, Mathematica / Wolfram Alpha, Python (SciPy, Pandas, Matplotlib)
Career Connection
Directly enhances employability for roles requiring computational mathematics and data analysis.
Participate in Inter-college Competitions- (Semester 3-4)
Engage in mathematics olympiads, quizzes, or problem-solving competitions organized at college or university level. This fosters competitive spirit, sharpens critical thinking, and provides exposure to diverse problem sets, which can be valuable for future entrance exams and career challenges.
Tools & Resources
University-level Math competitions, Online platforms like CodeChef or HackerRank for algorithmic challenges
Career Connection
Develops competitive skills, logical reasoning, and a strong problem-solving portfolio for higher studies and job applications.
Advanced Stage
Undertake a Research Project or Internship- (Semester 5-6)
Work on a research project under faculty guidance or pursue an internship in a relevant industry (e.g., data analytics, finance, operations research). This hands-on experience in areas like Complex Analysis, Linear Algebra, or Operations Research provides practical exposure, builds a professional network, and strengthens CV for placements or higher studies.
Tools & Resources
College placement cell for internships, Faculty mentors for research projects, Industry partners for real-world case studies
Career Connection
Provides practical experience, industry exposure, and networking opportunities crucial for securing jobs or admissions to advanced programs.
Intensive Preparation for Higher Studies/Placements- (Semester 5-6)
Dedicate time to prepare for competitive entrance exams like IIT-JAM, GATE (for relevant streams), or GRE, and practice for placement interviews focusing on quantitative aptitude, logical reasoning, and technical concepts. Utilize online mock tests and previous year papers. This focused preparation directly impacts success in securing desired academic or career opportunities.
Tools & Resources
Online test series platforms, Previous year question papers (IIT-JAM, GATE), Interview preparation guides and mock interviews
Career Connection
Directly prepares students for higher academic pursuits and competitive job markets, increasing success rates.
Develop Presentation & Communication Skills for Technical Topics- (Semester 5-6)
Practice presenting complex mathematical concepts clearly and concisely. Participate in seminars, workshops, and departmental talks. This hones communication skills, which are crucial for any professional role, enabling graduates to effectively convey their analytical insights to diverse audiences.
Tools & Resources
Departmental seminars, Public speaking workshops, Presentation software (PowerPoint, Google Slides)
Career Connection
Enhances soft skills vital for leadership roles, client interactions, and academic presentations, making graduates well-rounded professionals.
Program Structure and Curriculum
Eligibility:
- 12th Science Stream pass out with Mathematics (A group) from Gujarat Higher Secondary Education Board, CBSE or equivalent examination.
Duration: 3 years (6 semesters)
Credits: 112 Credits
Assessment: Internal: 30% (as per VNSGU guidelines), External: 70% (as per VNSGU guidelines)
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC 101 | English Language & Communication Skills - I | Compulsory (Ability Enhancement) | 2 | Basic English Grammar, Reading Comprehension, Basic Writing Skills, Oral Communication Fundamentals |
| MT 101 | Calculus - I | Core (Mathematics) | 4 | Vector Calculus: Differentiation, Gradient, Divergence, Curl, First-Order Differential Equations: Linear, Exact, Applications of Differential Equations, Partial Derivatives: Euler''''s Theorem, Total Differential, Integration: Definite Integral as a limit of Sum |
| MT 102 | Algebra - I | Core (Mathematics) | 4 | Matrices: Types, Inverse, Rank, System of Linear Equations, Groups: Definition, Examples, Subgroups, Permutation Groups: Cycles, Transpositions, Homomorphism and Isomorphism |
| PY 101 (Theory) | Physics - I (Mechanics, Properties of Matter) | Subsidiary (Core/General Elective) | 3 | Classical Mechanics, Rotational Dynamics, Gravitation, Elasticity and Fluid Dynamics, Surface Tension |
| PY 102 (Practical) | Physics Practical - I | Subsidiary (Core/General Elective) | 2 | Experiments on Mechanics, Properties of Matter measurements, Error Analysis, Data Interpretation |
| CH 101 (Theory) | Chemistry - I (Atomic Structure, Chemical Bonding) | Subsidiary (Core/General Elective) | 3 | Atomic Structure and Quantum Mechanics, Chemical Bonding Theories, Gaseous State and Liquid State, Basic Organic Chemistry: Isomerism |
| CH 102 (Practical) | Chemistry Practical - I | Subsidiary (Core/General Elective) | 2 | Qualitative Analysis of Inorganic Salts, Volumetric Analysis, Physical Chemistry Experiments |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC 201 | Environmental Studies | Compulsory (Ability Enhancement) | 2 | Ecosystems and their functioning, Natural Resources: Renewable and Non-renewable, Biodiversity and Conservation, Environmental Pollution and Control, Environmental Ethics and Legislation |
| MT 201 | Calculus - II | Core (Mathematics) | 4 | Higher Order Linear Differential Equations, Convergence of Series: Tests (Ratio, Root, Alternating Series), Power Series: Taylor and Maclaurin Series, Improper Integrals: Beta and Gamma Functions, Multiple Integrals: Double and Triple Integrals |
| MT 202 | Algebra - II | Core (Mathematics) | 4 | Rings: Definition, Examples, Subrings, Integral Domains and Fields, Ideals and Quotient Rings, Polynomial Rings, Vector Spaces: Basis and Dimension |
| PY 201 (Theory) | Physics - II (Optics, Electricity & Magnetism) | Subsidiary (Core/General Elective) | 3 | Wave Optics: Interference, Diffraction, Polarization, Electromagnetic Theory: Maxwell''''s Equations, AC Circuits and Resonance, Semiconductor Devices: Diodes, Transistors |
| PY 202 (Practical) | Physics Practical - II | Subsidiary (Core/General Elective) | 2 | Experiments on Optics, Electrical Circuits and Devices, Magnetic Field Measurements, Advanced Data Analysis |
| CH 201 (Theory) | Chemistry - II (Organic, Inorganic, Physical) | Subsidiary (Core/General Elective) | 3 | Organic Reaction Mechanisms: Alkanes, Alkenes, Coordination Chemistry: Ligands, Werner''''s Theory, Chemical Thermodynamics, Electrochemistry: Conductance, EMF Cells |
| CH 202 (Practical) | Chemistry Practical - II | Subsidiary (Core/General Elective) | 2 | Organic Preparations and Estimations, Inorganic Preparations, Kinetics Experiments, Chromatography Techniques |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 301 | Real Analysis - I | Core (Mathematics) | 4 | Sequences of Real Numbers: Convergence, Subsequences, Infinite Series: Tests for Convergence, Functions of a Real Variable: Limits, Continuity, Differentiation: Rolle''''s Theorem, Mean Value Theorems, Riemann Integration: Properties, Fundamental Theorem of Calculus |
| MT 302 | Differential Equations - III | Core (Mathematics) | 4 | Partial Differential Equations: Formation, First Order PDEs, Lagrange''''s Method for Linear PDEs, Charpit''''s Method for Non-linear PDEs, Laplace Transforms: Properties, Inverse Laplace Transforms, Applications of Laplace Transforms to ODEs |
| SEC 301 (Example) | Mathematical Software | Skill Enhancement Course (SEC) | 2 | Introduction to Mathematical Software (e.g., MATLAB/Python), Basic Programming Constructs and Syntax, Numerical Computations and Data Manipulation, Plotting and Data Visualization, Solving Mathematical Problems using Software |
| PY 301 (Theory) | Physics - III (Modern Physics, Quantum Mechanics) | General Elective (GE) / Subsidiary | 3 | Statistical Mechanics, Quantum Mechanics: Wave-Particle Duality, Uncertainty Principle, Nuclear Physics: Radioactivity, Nuclear Reactions, Lasers: Principles and Applications |
| PY 302 (Practical) | Physics Practical - III | General Elective (GE) / Subsidiary | 2 | Experiments on Modern Physics concepts, Spectroscopy techniques, Analog Electronics, Data acquisition and analysis |
| CH 301 (Theory) | Chemistry - III (Quantum Chemistry, Spectroscopy) | General Elective (GE) / Subsidiary | 3 | Introduction to Quantum Chemistry, Molecular Spectroscopy (UV-Vis, IR, NMR), Organic Reaction Mechanisms: Alcohols, Phenols, Solid State Chemistry: Crystal Systems, Defects |
| CH 302 (Practical) | Chemistry Practical - III | General Elective (GE) / Subsidiary | 2 | Spectroscopic Analysis, Organic Synthesis, Physical Chemistry Determinations, Instrumental Methods |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 401 | Real Analysis - II | Core (Mathematics) | 4 | Uniform Convergence: Sequences and Series of Functions, Weierstrass M-Test, Power Series: Radius of Convergence, Fourier Series: Dirichlet''''s Conditions, Metric Spaces: Open and Closed Sets, Completeness |
| MT 402 | Numerical Methods | Core (Mathematics) | 4 | Errors in Numerical Computations: Absolute, Relative Errors, Solution of Algebraic & Transcendental Equations: Bisection, Newton-Raphson Methods, Interpolation: Newton''''s Forward/Backward, Lagrange''''s Formula, Numerical Differentiation, Numerical Integration: Trapezoidal, Simpson''''s Rules |
| SEC 401 (Example) | Problem Solving with Spreadsheets | Skill Enhancement Course (SEC) | 2 | Spreadsheet Basics: Cells, Rows, Columns, Formulas and Functions (Mathematical, Logical, Statistical), Data Organization and Filtering, Charts and Data Visualization, Solving Basic Mathematical Problems using Excel |
| PY 401 (Theory) | Physics - IV (Electrodynamics, Solid State Physics) | General Elective (GE) / Subsidiary | 3 | Electrodynamics: Vector Potential, Gauge Transformations, Solid State Physics: Crystal Structure, Band Theory, Electronics: Operational Amplifiers, Digital Logic, Communication Systems: Modulation, Demodulation |
| PY 402 (Practical) | Physics Practical - IV | General Elective (GE) / Subsidiary | 2 | Experiments on Electrodynamics, Solid State Device Characterization, Digital Logic Circuits, Advanced Physics Instrumentation |
| CH 401 (Theory) | Chemistry - IV (Polymer Chemistry, Bio-inorganic) | General Elective (GE) / Subsidiary | 3 | Polymer Chemistry: Synthesis, Properties, Bio-inorganic Chemistry: Metal Ions in Biological Systems, Green Chemistry Principles, Environmental Chemistry: Water, Air Pollution |
| CH 402 (Practical) | Chemistry Practical - IV | General Elective (GE) / Subsidiary | 2 | Polymer Synthesis and Characterization, Environmental Chemistry Experiments, Advanced Organic Synthesis, Photochemistry |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 501 | Complex Analysis - I | Core (Mathematics) | 4 | Complex Numbers and Functions, Analytic Functions and Cauchy-Riemann Equations, Conformal Mapping, Complex Integration: Cauchy''''s Integral Theorem and Formula, Taylor and Laurent Series Expansions |
| MT 502 | Linear Algebra | Core (Mathematics) | 4 | Vector Spaces and Subspaces, Linear Transformations: Rank-Nullity Theorem, Eigenvalues and Eigenvectors, Inner Product Spaces and Orthogonality, Gram-Schmidt Orthogonalization Process |
| MT 503 | Discrete Mathematics - I | Elective (Discipline Specific Elective - DSE) | 4 | Set Theory, Relations and Functions, Mathematical Logic and Proof Techniques, Boolean Algebra and Lattices, Graph Theory: Basic Definitions, Paths, Cycles, Trees and their Properties |
| MT 504 | Operations Research - I | Elective (Discipline Specific Elective - DSE) | 4 | Introduction to Operations Research: History, Scope, Linear Programming: Formulation, Graphical Method, Simplex Method for Solving LPP, Duality in Linear Programming, Transportation Problem and Assignment Problem |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 601 | Complex Analysis - II | Core (Mathematics) | 4 | Singularities and Residues, Cauchy''''s Residue Theorem and its Applications, Argument Principle and Rouché''''s Theorem, Maximum Modulus Principle, Conformal Mapping Applications |
| MT 602 | Abstract Algebra | Core (Mathematics) | 4 | Rings, Subrings, Ideals, Ring Homomorphisms and Isomorphisms, Integral Domains and Fields, Polynomial Rings, Extension Fields, Algebraic Extensions (Introduction) |
| MT 603 | Discrete Mathematics - II | Elective (Discipline Specific Elective - DSE) | 4 | Recurrence Relations and Generating Functions, Counting Principles: Permutations and Combinations, Inclusion-Exclusion Principle, Graph Algorithms: Shortest Path, Spanning Tree, Network Flows |
| MT 604 | Operations Research - II | Elective (Discipline Specific Elective - DSE) | 4 | Game Theory: Two-person zero-sum games, Mixed Strategies, Sequencing Problem: n-jobs on 2/3 machines, Queuing Theory: M/M/1 Model, Inventory Control Models, Network Analysis: PERT and CPM |
