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B-SC-NON-MEDICAL in Mathematics at Guru Gobind Singh College of Management & Technology
Sri Muktsar Sahib, Punjab
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About the Specialization
What is Mathematics at Guru Gobind Singh College of Management & Technology Sri Muktsar Sahib?
This B.Sc. (Non-Medical) program at Guru Gobind Singh College of Management & Technology, Sri Muktsar Sahib, with a strong focus on Mathematics, provides a robust foundation in core scientific disciplines while emphasizing advanced mathematical concepts. It prepares students for diverse analytical and problem-solving roles, crucial in India''''s growing data science, finance, and research sectors. The program''''s strength lies in integrating rigorous theoretical knowledge with practical applications.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude for mathematics and science, seeking entry into quantitative fields. It also suits individuals aspiring for postgraduate studies in mathematics, physics, or data analytics. Students aiming for careers in research, teaching, or analytical roles within Indian industries will find this curriculum highly beneficial. A background in the 10+2 Non-Medical stream is a key prerequisite for admission.
Why Choose This Course?
Graduates of this program can expect diverse career paths in India, including roles as data analysts, actuaries, financial modelers, scientific researchers, or educators. Entry-level salaries typically range from INR 3-5 LPA, growing significantly with experience with advanced skills. The rigorous mathematical training provides a strong base for competitive exams like UPSC, banking, and pursuing higher education (M.Sc., MBA) in leading Indian institutions, opening doors to diverse growth trajectories.
Student Success Practices
Foundation Stage
Strengthen Core Mathematical Fundamentals- (Semester 1-2)
Actively participate in all Mathematics classes, solve textbook problems regularly, and seek clarification from faculty for conceptual doubts. Focus on mastering calculus, analytical geometry, and differential equations by consistent practice and revision.
Tools & Resources
NCERT textbooks, Shanti Narayan for Calculus, Khan Academy, Peer study groups
Career Connection
A strong mathematical foundation is critical for advanced studies and analytical roles in fields like finance, data science, and engineering, which are in high demand across India.
Develop Scientific Problem-Solving and Experimental Skills- (Semester 1-2)
Engage thoroughly in Physics and Chemistry lab sessions. Beyond completing experiments, understand underlying theories, analyze observed data critically, and write comprehensive lab reports. Participate in college-level science fairs or small research projects.
Tools & Resources
Lab manuals, Scientific journals, NPTEL videos for experimental techniques
Career Connection
Essential for research roles, quality control, and any technical position requiring analytical thinking, empirical validation, and systematic problem-solving approach.
Cultivate Effective Study Habits and Time Management- (Semester 1-2)
Create a balanced study schedule allocating dedicated time for each subject, including daily revision and self-assessment. Prioritize challenging topics and practice previous year question papers of Punjabi University to enhance exam readiness.
Tools & Resources
Study planners, University past papers, Academic counseling from college faculty, College library resources
Career Connection
Develops discipline, efficiency, and resilience, crucial attributes for successfully handling academic rigor and meeting professional deadlines in any chosen career path.
Intermediate Stage
Dive Deeper into Advanced Theoretical Mathematics- (Semester 3-5)
Focus on understanding abstract algebra, real analysis, and partial differential equations, exploring both their theoretical underpinnings and practical applications. Engage with challenging theorems and participate in mathematical problem-solving competitions.
Tools & Resources
Standard textbooks (e.g., G.H. Hardy''''s ''''A Course of Pure Mathematics''''), NPTEL courses on advanced mathematics, Online math forums
Career Connection
Crucial for advanced research, quantitative finance, actuarial science, and higher education in mathematical sciences, providing a competitive edge in specialized roles.
Seek Early Industry Exposure through Internships- (Semester 4-5 summer breaks)
Actively search for and apply to internships, even short-term ones, in fields like data analysis, teaching, or scientific research. Opportunities may exist in local IT firms, coaching institutes, or university research projects during summer breaks.
Tools & Resources
College placement cell, LinkedIn, Internshala, Local business directories
Career Connection
Bridges the gap between academic learning and real-world application, making students more employable and providing clarity on potential career interests within the Indian job market.
Enhance Programming and Analytical Tools Proficiency- (Semester 3-5)
Gain basic to intermediate proficiency in a programming language relevant to data analysis and scientific computing. Learn Python (with libraries like NumPy, Pandas) or R, widely used for data manipulation and statistical analysis in various sectors.
Tools & Resources
Coursera, Udemy, DataCamp for Python/R courses, Kaggle for data science projects, Official language documentation
Career Connection
Highly valuable for careers in data science, scientific modeling, and quantitative analysis, which are rapidly growing and offer lucrative opportunities in the Indian tech and analytics industry.
Advanced Stage
Undertake a Comprehensive Research Project or Dissertation- (Semester 6)
Collaborate with faculty on a final year project that applies mathematical principles to solve a real-world problem. This could involve statistical modeling, optimization, or solving advanced differential equations for a scientific or industrial challenge.
Tools & Resources
Academic journals, University research labs, Faculty mentors, LaTeX for scientific writing, Open-source data sets
Career Connection
Showcases analytical prowess and research aptitude, highly valued for postgraduate admissions (M.Sc., Ph.D.) and R&D roles in both academia and industry in India.
Intensive Placement and Higher Education Preparation- (Semester 6)
Focus on refining interview skills, crafting a compelling resume, and preparing rigorously for competitive exams or university entrance tests. Participate in mock interviews and workshops on professional etiquette and aptitude.
Tools & Resources
College career services, Online aptitude test platforms, Study materials for M.Sc. entrances (e.g., JAM) or government job exams (e.g., SSC CGL)
Career Connection
Directly prepares students for securing placements in reputable companies or gaining admission to prestigious postgraduate programs in India and abroad, defining future career trajectory.
Network with Alumni and Industry Professionals- (Semester 5-6)
Actively attend college alumni meets, career fairs, and industry seminars to build a professional network. Connect with alumni working in relevant fields to gain insights, seek mentorship, and discover potential job leads or collaborative opportunities.
Tools & Resources
LinkedIn, College alumni association portals, Industry events and webinars (online and offline)
Career Connection
Opens doors to opportunities, provides invaluable career guidance, and enhances job search effectiveness in the competitive Indian market by leveraging professional connections and insights.
Program Structure and Curriculum
Eligibility:
- 10+2 with Physics, Chemistry, and Mathematics (Non-Medical group) from Punjab School Education Board or any other recognized equivalent examination, with minimum aggregate marks as per Punjabi University norms (typically 45-50%).
Duration: 6 semesters / 3 years
Credits: 120 Credits
Assessment: Internal: 25% (for theory papers), Varies (for practicals), External: 75% (for theory papers), Varies (for practicals)
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-101 | Mathematics: Differential Calculus | Core | 4 | Functions, Limits, Continuity, Differentiability, Successive Differentiation, Leibnitz Theorem, Taylor''''s and Maclaurin''''s Series, Partial Differentiation, Euler''''s Theorem, Maxima and Minima of Functions, Curve Tracing |
| MTM-102 | Mathematics: Analytical Geometry and Vector Calculus | Core | 4 | Analytical Geometry of 2D and 3D, Planes, Straight Lines, Sphere, Cone, Cylinder, Vector Differentiation, Gradient, Divergence and Curl, Vector Identities |
| PHS-101 | Physics: Mechanics | Core | 4 | Newtonian Mechanics, Rotational Dynamics, Gravitation and Planetary Motion, Elasticity, Fluid Dynamics |
| PHS-103 | Physics Lab-I | Lab | 2 | Experiments based on General Physics, Error Analysis, Verification of laws of mechanics, Measurements of physical constants, Data Analysis and Interpretation |
| CHM-101 | Chemistry: Inorganic Chemistry-I | Core | 4 | Atomic Structure, Periodic Table, Chemical Bonding, S-Block Elements, P-Block Elements, Oxidation and Reduction |
| CHM-103 | Chemistry Lab-I | Lab | 2 | Qualitative Inorganic Analysis, Volumetric Analysis (Acid-Base, Redox Titrations), Preparation of Inorganic Compounds, Basic Laboratory Techniques, Accuracy and Precision in Measurements |
| EVS-101 | Environmental Studies | Compulsory Qualifying | 2 | Multidisciplinary Nature of Environmental Studies, Natural Resources, Ecosystems, Biodiversity and its Conservation, Environmental Pollution, Social Issues and the Environment |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-201 | Mathematics: Integral Calculus | Core | 4 | Definite and Indefinite Integrals, Integration Techniques, Reduction Formulae, Beta and Gamma Functions, Area, Volume, Surface Area, Multiple Integrals (Double and Triple) |
| MTM-202 | Mathematics: Ordinary Differential Equations | Core | 4 | First Order Differential Equations, Exact Differential Equations, Linear Differential Equations of Higher Order, Homogeneous and Non-Homogeneous Equations, Series Solutions of ODEs, Laplace Transforms |
| PHS-201 | Physics: Waves and Oscillations | Core | 4 | Simple Harmonic Motion, Damped and Forced Oscillations, Wave Motion, Superposition, Sound Waves, Electromagnetic Waves, Wave Phenomena (Interference, Diffraction) |
| PHS-203 | Physics Lab-II | Lab | 2 | Experiments on Waves and Oscillations, Determination of Young''''s Modulus, Frequency measurements, Resonance experiments, Use of CRO |
| CHM-201 | Chemistry: Organic Chemistry-I | Core | 4 | Structure and Bonding in Organic Molecules, Nomenclature of Organic Compounds, Stereochemistry, Alkanes, Alkenes, Alkynes, Aromaticity, Reaction Mechanisms |
| CHM-203 | Chemistry Lab-II | Lab | 2 | Qualitative Organic Analysis, Organic Preparations, Crystallization and Distillation, Determination of Melting Point/Boiling Point, Chromatographic Techniques |
| PBI-201 | Punjabi (Compulsory) | Compulsory Qualifying | 2 | Punjabi Literature and Grammar, History of Punjabi Language, Reading Comprehension, Composition and Essay Writing, Translation from English to Punjabi |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-301 | Mathematics: Algebra | Core | 4 | Groups and Subgroups, Cyclic Groups, Permutation Groups, Normal Subgroups, Quotient Groups, Homomorphism and Isomorphism, Cayley''''s Theorem, Sylow''''s Theorems |
| MTM-302 | Mathematics: Partial Differential Equations | Core | 4 | Formation of PDEs, First Order Linear and Non-Linear PDEs, Charpit''''s Method, Homogeneous Linear PDEs with Constant Coefficients, Classification of Second Order PDEs, Wave and Heat Equations |
| PHS-301 | Physics: Electricity and Magnetism | Core | 4 | Electrostatics, Dielectrics, Magnetostatics, Magnetic Properties of Materials, Electromagnetic Induction, Maxwell''''s Equations |
| PHS-303 | Physics Lab-III | Lab | 2 | Experiments on Electricity, Magnetic Field Measurements, Circuit Analysis (DC and AC), Use of Galvanometers and Potentiometers, Verification of Kirchhoff''''s Laws |
| CHM-301 | Chemistry: Physical Chemistry-I | Core | 4 | Gaseous State, Liquid State, Solid State, Chemical Kinetics, Catalysis, Thermodynamics |
| CHM-303 | Chemistry Lab-III | Lab | 2 | Physical Chemistry Experiments, Viscosity and Surface Tension, Thermochemistry, Chemical Kinetics experiments, Phase Equilibrium |
| DAP-301 | Drug Abuse: Problems, Management and Prevention | Compulsory Qualifying | 2 | Nature and Extent of Drug Abuse, Causes and Consequences of Drug Abuse, Drug Addiction and its Impact, Prevention and Control Strategies, Role of Government and NGOs |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-401 | Mathematics: Advanced Calculus | Core | 4 | Riemann Integrals, Improper Integrals, Beta and Gamma Functions (Advanced), Convergence of Integrals, Uniform Convergence of Sequences and Series of Functions, Fourier Series |
| MTM-402 | Mathematics: Vector Spaces | Core | 4 | Vector Space, Subspaces, Linear Independence, Basis and Dimension, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Orthogonal and Orthonormal Bases |
| PHS-401 | Physics: Thermal Physics and Statistical Mechanics | Core | 4 | Kinetic Theory of Gases, Thermodynamics Laws, Entropy, Phase Transitions, Maxwell-Boltzmann Statistics, Fermi-Dirac and Bose-Einstein Statistics |
| PHS-403 | Physics Lab-IV | Lab | 2 | Experiments on Thermal Physics, Specific Heat Measurements, Thermal Conductivity, Black Body Radiation, Stefan''''s Law |
| CHM-401 | Chemistry: Organic Chemistry-II | Core | 4 | Alcohols, Phenols, Ethers, Aldehydes and Ketones, Carboxylic Acids and their Derivatives, Amines, Heterocyclic Compounds, Spectroscopy in Organic Chemistry |
| CHM-403 | Chemistry Lab-IV | Lab | 2 | Synthesis of Organic Compounds, Quantitative Organic Analysis, Functional Group Identification, Chromatographic Separations, Spectroscopic Analysis (IR, UV-Vis) |
| CYS-401 | Cyber Security | Compulsory Qualifying | 2 | Introduction to Cyber Security, Cybercrime and Cyber Laws, Network Security, Cryptography, Digital Forensics, Security Best Practices |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-501 | Mathematics: Real Analysis | Core | 4 | Real Number System, Sequences, Infinite Series, Tests of Convergence, Metric Spaces, Open and Closed Sets, Compactness, Connectedness, Continuous Functions on Metric Spaces, Uniform Continuity |
| MTM-502 | Mathematics: Groups and Rings | Core | 4 | Rings, Integral Domains, Fields, Subrings, Ideals, Quotient Rings, Ring Homomorphisms, Polynomial Rings, Euclidean Domains, Unique Factorization Domains |
| PHS-501 | Physics: Optics | Core | 4 | Geometrical Optics, Interference, Diffraction, Polarization, Lasers, Fiber Optics |
| PHS-503 | Physics Lab-V | Lab | 2 | Experiments on Optics, Interference and Diffraction Patterns, Polarization Studies, Spectroscopy, Laser Characteristics |
| CHM-501 | Chemistry: Inorganic Chemistry-II | Core | 4 | Transition Elements, Coordination Chemistry, Lanthanides and Actinides, Organometallic Compounds, Bioinorganic Chemistry, Acids and Bases (Hard-Soft concept) |
| CHM-503 | Chemistry Lab-V | Lab | 2 | Inorganic Preparations, Complexometric Titrations, Colorimetry, Chromatographic Separations of Ions, Magnetic Susceptibility Measurements |
| SEC-5XX | Skill Enhancement Course/Open Elective-I | Elective | 2 | Introduction to relevant skill, Practical applications, Case studies, Hands-on exercises, Project work |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTM-601 | Mathematics: Complex Analysis | Core | 4 | Complex Numbers and Functions, Analytic Functions, Cauchy-Riemann Equations, Complex Integration, Cauchy''''s Theorem, Taylor''''s and Laurent''''s Series, Singularities and Residues, Conformal Mapping |
| MTM-602 | Mathematics: Metric Spaces | Core | 4 | Definition and Examples of Metric Spaces, Open, Closed Sets, Accumulation Points, Completeness, Banach Fixed Point Theorem, Compactness, Heine-Borel Theorem, Connectedness, Continuous Mappings, Homeomorphism |
| PHS-601 | Physics: Quantum Mechanics | Core | 4 | Origin of Quantum Mechanics, Wave-Particle Duality, Schrödinger Equation, Operators and Eigenvalues, Hydrogen Atom, Perturbation Theory |
| PHS-603 | Physics Lab-VI | Lab | 2 | Experiments on Modern Physics, Photoelectric Effect, Planck''''s Constant Determination, Spectra of Light Sources, Radioactivity Experiments |
| CHM-601 | Chemistry: Physical Chemistry-II | Core | 4 | Electrochemistry, Colloids and Surface Chemistry, Quantum Chemistry, Molecular Spectroscopy (Rotational, Vibrational), Photochemistry, Solution Chemistry |
| CHM-603 | Chemistry Lab-VI | Lab | 2 | Conductometric Titrations, pH-metric Titrations, Spectrophotometric Analysis, Adsorption Isotherms, Surface Tension of Liquids |
| SEC-6XX | Skill Enhancement Course/Open Elective-II | Elective | 2 | Advanced skill development, Industry-specific applications, Mini-project implementation, Problem-solving methodologies, Presentation skills |
