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BSC in Mathematics at Shri Digambar Jain Vidya Sansthe's Smt. S. S. Arts College & T. P. Science Institute
Belagavi, Karnataka
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About the Specialization
What is Mathematics at Shri Digambar Jain Vidya Sansthe's Smt. S. S. Arts College & T. P. Science Institute Belagavi?
This Mathematics program at Shri Suryanarayan Arts College and T. P. Patil Science Institute focuses on developing a robust foundation in pure and applied mathematics. Rooted in the Choice Based Credit System (CBCS) curriculum of Rani Channamma University, Belagavi, it covers diverse areas from calculus and algebra to complex analysis and numerical methods. The program aims to equip students with analytical, problem-solving, and computational skills essential for various sectors in the Indian economy.
Who Should Apply?
This program is ideal for high school graduates with a strong aptitude for logical reasoning and quantitative analysis, particularly those who have completed their 10+2 with a science background, including Mathematics. It caters to aspiring researchers, educators, data analysts, and software developers who seek a rigorous mathematical foundation. Individuals aiming for further studies in fields like statistics, actuarial science, or computer science will also find this program highly beneficial.
Why Choose This Course?
Graduates of this program can expect to pursue diverse career paths in India, including roles as data scientists, statisticians, actuaries, financial analysts, and teachers. Entry-level salaries typically range from INR 3-6 lakhs annually, with significant growth potential up to INR 10-15+ lakhs for experienced professionals in analytical roles. The foundational mathematical skills are crucial for higher education and professional certifications in quantitative finance, machine learning, and computational sciences, offering strong career trajectories in Indian IT and finance hubs.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Focus on building a strong conceptual understanding of Differential & Integral Calculus and Group Theory. Regularly solve problems from textbooks and previous year question papers. Utilize online platforms for problem practice.
Tools & Resources
NCERT textbooks, NPTEL lectures for deeper insights, BYJU''''S/Vedantu for conceptual clarity, Scilab/Geogebra for practical visualization
Career Connection
A strong grasp of fundamentals is crucial for higher-level mathematics, competitive exams, and forms the basis for analytical roles in engineering, finance, and data science.
Develop Programming and Computational Skills- (Semester 1-2)
Actively participate in practical sessions using software like Scilab, Geogebra, or R. Learn to implement mathematical concepts computationally. Explore basic programming languages like Python alongside mathematical studies.
Tools & Resources
Scilab/Geogebra official documentation, Online Python tutorials (e.g., Coursera, freeCodeCamp), HackerRank for coding challenges, College computer labs
Career Connection
Essential for roles in data science, quantitative finance, scientific computing, and research where numerical methods and simulations are frequently used.
Engage in Peer Learning and Study Groups- (Semester 1-2)
Form study groups with peers to discuss challenging topics, solve problems collaboratively, and prepare for internal assessments and exams. Teach concepts to others to reinforce your own understanding.
Tools & Resources
College library study spaces, Online collaboration tools (Google Meet, WhatsApp groups), Peer mentorship from senior students
Career Connection
Enhances communication, teamwork, and problem-solving skills, which are highly valued in any professional setting, and fosters a supportive academic environment.
Intermediate Stage
Apply Theoretical Knowledge to Real-world Problems- (Semester 3-5)
Look for opportunities to apply concepts from Differential Equations, Real Analysis, Complex Analysis, and Ring Theory to practical scenarios. Participate in minor projects or case studies, even if not formally part of the curriculum.
Tools & Resources
Research papers, Academic journals (e.g., from NPTEL or university libraries), Problem sets from online contests like Kaggle (for data applications), Industry workshops
Career Connection
Bridges the gap between academic learning and industry demands, making students more attractive for internships in research, analytics, and software development roles.
Enhance Software Proficiency for Advanced Mathematics- (Semester 3-5)
Deepen expertise in mathematical software (e.g., MATLAB, Mathematica, Python libraries like NumPy/SciPy) beyond basic requirements. Explore how these tools are used to solve complex problems in various fields.
Tools & Resources
Online courses on specific software, YouTube tutorials, Project-based learning, University workshops, Competitive programming platforms
Career Connection
Directly relevant for roles requiring computational modeling, simulation, and data analysis in engineering, finance, and scientific research.
Network with Faculty and Industry Professionals- (Semester 3-5)
Attend seminars, workshops, and guest lectures organized by the department. Interact with faculty to discuss advanced topics, research opportunities, and career guidance. Seek mentorship.
Tools & Resources
Department notice boards for event announcements, LinkedIn for connecting with professionals, University career fairs, Faculty office hours
Career Connection
Opens doors to research projects, internships, and valuable insights into industry trends and potential career paths in the Indian context.
Advanced Stage
Undertake Research Projects or Dissertations- (Semester 6)
Engage in an in-depth research project, potentially on topics like Linear Algebra, Metric Spaces, Numerical Analysis, or Graph Theory, under faculty guidance. This showcases specialized knowledge and research aptitude.
Tools & Resources
Access to university library databases, Research methodology guides, Collaboration with faculty on ongoing projects, Academic writing workshops
Career Connection
A strong project or dissertation is a significant asset for postgraduate admissions (MSc, PhD) and R&D roles in both academia and industry in India.
Prepare for Higher Education and Competitive Exams- (Semester 6)
Start preparing for national-level entrance exams for postgraduate studies (e.g., JAM for IITs, entrance exams for IISc/TIFR) or for jobs requiring quantitative aptitude (e.g., bank PO, UPSC with optional Maths).
Tools & Resources
Coaching institutes, Online test series, Previous year question papers, Specific textbooks for competitive exams, Study groups
Career Connection
Essential for securing admission to top-tier Indian universities for advanced degrees or for direct entry into government and public sector jobs.
Build a Professional Portfolio and Resume- (Semester 6)
Compile all projects, practical implementations, certifications, and academic achievements into a well-structured portfolio and resume. Practice mock interviews focusing on technical and aptitude skills relevant to mathematical careers.
Tools & Resources
Online portfolio platforms (GitHub for code), Resume builders, University placement cell workshops, Mock interview sessions with faculty/alumni, LinkedIn profile optimization
Career Connection
Directly prepares students for the placement process, enhancing their employability for roles in data analytics, financial modeling, or software development in Indian companies.
Program Structure and Curriculum
Eligibility:
- A candidate who has passed the two years Pre-University Examination (PUC) with Science stream conducted by the Pre-University Education Board, Government of Karnataka, or any other examination considered as equivalent thereto by Rani Channamma University, Belagavi, is eligible for admission to the first semester B.Sc. Degree Course.
Duration: 6 semesters / 3 years
Credits: 40 (for Mathematics specialization subjects only) Credits
Assessment: Internal: undefined, External: undefined
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 101 | Mathematics Paper-I (Differential Calculus and Group Theory-I) | Core | 4 | Differential Calculus: Successive differentiation, nth derivative, Taylor''''s and Maclaurin''''s series, indeterminate forms, partial differentiation, Euler''''s theorem, Jacobian, maxima and minima., Group Theory-I: Binary operation, definition of group, properties, subgroups, cyclic groups, cosets, Lagrange''''s theorem. |
| MT 102 | Mathematics Paper-I Practical | Lab | 2 | Practical experiments based on MT 101 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 201 | Mathematics Paper-II (Integral Calculus and Group Theory-II) | Core | 4 | Integral Calculus: Reduction formulae, properties of definite integrals, Beta and Gamma functions, double and triple integrals, change of order and variables., Group Theory-II: Normal subgroups, quotient groups, homomorphism, isomorphism, Cayley''''s theorem. |
| MT 202 | Mathematics Paper-II Practical | Lab | 2 | Practical experiments based on MT 201 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 301 | Mathematics Paper-III (Differential Equations and Real Analysis-I) | Core | 4 | Differential Equations: First order, higher order linear, homogeneous, Cauchy-Euler equations, method of variation of parameters., Real Analysis-I: Sets, functions, countable and uncountable sets, real number system, sequences, limits of sequences, convergence, Cauchy sequences. |
| MT 302 | Mathematics Paper-III Practical | Lab | 2 | Practical experiments based on MT 301 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 401 | Mathematics Paper-IV (Laplace Transforms and Real Analysis-II) | Core | 4 | Laplace Transforms: Definition, properties, inverse Laplace transform, convolution theorem, applications to differential equations., Real Analysis-II: Continuity of functions, uniform continuity, differentiability, Mean Value Theorems (Rolle''''s, Lagrange''''s, Cauchy''''s), Taylor''''s theorem. |
| MT 402 | Mathematics Paper-IV Practical | Lab | 2 | Practical experiments based on MT 401 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 501 | Mathematics Paper-V (Partial Differential Equations and Vector Calculus) | Core | 4 | Partial Differential Equations: Formation, Lagrange''''s linear equations, Charpit''''s method, homogeneous and non-homogeneous linear PDEs., Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, volume integrals, Green''''s, Gauss'''', and Stokes'''' theorems. |
| MT 502 | Mathematics Paper-VI (Complex Analysis and Ring Theory) | Core | 4 | Complex Analysis: Complex numbers, functions of a complex variable, limits, continuity, Cauchy-Riemann equations, analytic functions, complex integration, Cauchy''''s integral theorem and formula, singularities, residues., Ring Theory: Rings, subrings, ideals, quotient rings, homomorphism, integral domains, fields, polynomial rings. |
| MT 503 | Mathematics Paper-V & VI Practical | Lab | 4 | Practical experiments based on MT 501 and MT 502 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MT 601 | Mathematics Paper-VII (Linear Algebra and Metric Spaces) | Core | 4 | Linear Algebra: Vector spaces, subspaces, linear span, basis and dimension, linear transformations, matrix representation, eigenvalues and eigenvectors, diagonalization., Metric Spaces: Definition and examples of metric spaces, open and closed sets, convergence of sequences, completeness, compactness. |
| MT 602 | Mathematics Paper-VIII (Numerical Analysis and Graph Theory) | Core | 4 | Numerical Analysis: Interpolation (Newton''''s, Lagrange''''s), numerical differentiation and integration, solutions of algebraic and transcendental equations, numerical solutions of ordinary differential equations., Graph Theory: Graphs, paths, circuits, trees, spanning trees, cut sets, matrix representation of graphs, planar graphs, Euler''''s formula. |
| MT 603 | Mathematics Paper-VII & VIII Practical | Lab | 4 | Practical experiments based on MT 601 and MT 602 concepts, Applications using mathematical software (e.g., Scilab, Geogebra, R) |
