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B-SC in Mathematics at Akash Global College of Management and Science
Bengaluru, Karnataka
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About the Specialization
What is Mathematics at Akash Global College of Management and Science Bengaluru?
This B.Sc Mathematics program at Akash Global College of Management and Science focuses on building a strong foundation in pure and applied mathematics. It emphasizes analytical thinking, problem-solving, and logical reasoning, crucial skills highly valued across various Indian industries, including technology, finance, and research. The program''''s comprehensive curriculum, based on the NEP 2020 framework, prepares students for advanced studies and diverse career opportunities in a rapidly evolving job market.
Who Should Apply?
This program is ideal for fresh graduates with a strong aptitude for logical reasoning and quantitative analysis, seeking entry into data science, actuarial science, or research roles. It also suits individuals aspiring for higher education in mathematics or related fields, and those looking to develop robust problem-solving skills applicable across various sectors in India.
Why Choose This Course?
Graduates of this program can expect to develop exceptional analytical and critical thinking abilities. Career paths in India include data analyst (entry-level INR 3-6 LPA), research associate, actuarial trainee, or teaching. With experience, roles like quantitative analyst (INR 8-15 LPA) or data scientist become accessible, showing significant growth trajectories in Indian companies. The program also lays a strong groundwork for competitive exams.
Student Success Practices
Foundation Stage
Master Core Mathematical Concepts- (Semester 1-2)
Dedicate consistent effort to understanding fundamental theories in Calculus and Algebra. Actively solve practice problems from textbooks and recommended resources, ensuring conceptual clarity before moving to advanced topics. Form study groups to discuss challenging problems and clarify doubts with peers.
Tools & Resources
NCERT textbooks (for basics), NPTEL videos for specific topics, Reference books like ''''Higher Algebra'''' by Hall & Knight, Peer study groups
Career Connection
A strong foundation is crucial for all advanced mathematical applications and quantitative roles in analytics, finance, or research, making you adaptable to various industry challenges.
Develop Problem-Solving Acumen- (Semester 1-2)
Engage in regular problem-solving practice beyond classroom assignments. Focus on understanding the logical steps rather than just memorizing solutions. Participate in entry-level math quizzes or Olympiads to challenge your analytical skills and competitive spirit.
Tools & Resources
Online platforms like Brilliant.org or Khan Academy for diverse problems, Math competition archives, Problem-solving textbooks
Career Connection
Exceptional problem-solving skills are highly sought after in data science, software development, and research roles, distinguishing you in the Indian job market.
Cultivate Effective Study Habits- (Semester 1-2)
Establish a disciplined study routine, allocating dedicated time for each subject. Practice active recall and spaced repetition for better retention. Utilize college library resources and academic support sessions for extra help, building a solid academic base for future semesters.
Tools & Resources
College library resources, Academic counselors/mentors, Digital note-taking apps like Notion or Evernote
Career Connection
Good study habits foster consistent academic performance, leading to higher grades and a strong academic record, which are vital for placements and higher education admissions in India.
Intermediate Stage
Apply Mathematical Software and Tools- (Semester 3-4)
Gain hands-on experience with mathematical software like LaTeX for document preparation, GeoGebra for visualization, and basic programming languages like Python or R for numerical computations. Focus on integrating these tools into your project work and presentations.
Tools & Resources
LaTeX distribution (e.g., TeX Live), GeoGebra, Python with libraries like NumPy, SciPy, Matplotlib, Online tutorials and courses
Career Connection
Proficiency in these tools makes you more employable in data analytics, scientific computing, and research positions within Indian tech and R&D firms.
Explore Interdisciplinary Applications- (Semester 3-4)
Actively seek out how mathematics applies to other fields like economics, computer science, or physics through elective courses or independent projects. Attend workshops or webinars that showcase real-world applications of differential equations, real analysis, or linear algebra in various Indian industries.
Tools & Resources
University workshops, Online courses on Coursera/edX for applied math, Guest lectures from industry experts
Career Connection
An interdisciplinary perspective broadens your career options beyond pure mathematics, opening doors to roles in FinTech, bioinformatics, and operations research in India.
Participate in Academic Competitions- (Semester 3-4)
Engage in regional or national level mathematics competitions, problem-solving challenges, or hackathons. This not only enhances your problem-solving abilities under pressure but also provides valuable networking opportunities and boosts your resume for future placements.
Tools & Resources
Indian Mathematical Olympiad, College-level math clubs, Coding platforms like HackerRank for logical challenges
Career Connection
Success in competitions demonstrates initiative, resilience, and advanced problem-solving skills, making you a strong candidate for competitive job roles and postgraduate admissions.
Advanced Stage
Specialize through Electives and Projects- (Semester 5-6)
Carefully select Discipline Specific Electives (DSEs) based on your career interests, such as Number Theory for cryptography or Operations Research for logistics. Undertake a capstone project or a research paper in your area of specialization to demonstrate in-depth knowledge and practical application.
Tools & Resources
Academic advisors for DSE selection, Research papers on arXiv.org, Mentorship from faculty on project topics
Career Connection
Specialized knowledge and a strong project portfolio significantly enhance your appeal to recruiters in specific sectors like cybersecurity, finance, or scientific research in India.
Prepare for Higher Studies or Placements- (Semester 5-6)
Start preparing for competitive exams like JAM (Joint Admission Test for M.Sc), GATE, or various company aptitude tests. Attend campus placement workshops, mock interviews, and resume-building sessions. Network with alumni working in desired fields to gain insights and opportunities.
Tools & Resources
Previous year JAM/GATE papers, Online mock interview platforms, LinkedIn for alumni networking, College placement cell services
Career Connection
Proactive preparation for these critical stages directly impacts your success in securing admissions to top Indian universities for M.Sc/Ph.D or landing lucrative placements in core mathematical or analytical roles.
Develop Professional Communication and Leadership- (Semester 5-6)
Refine your presentation and report writing skills through academic projects and seminars. Take on leadership roles in student clubs or organizational committees. These soft skills are crucial for communicating complex mathematical ideas to non-technical audiences and for career progression.
Tools & Resources
Public speaking clubs (e.g., Toastmasters), Workshops on technical writing, Mentorship from faculty on leadership development
Career Connection
Strong communication and leadership skills are essential for roles that involve team collaboration, project management, and client interaction in Indian and multinational companies, setting you apart as a well-rounded professional.
Program Structure and Curriculum
Eligibility:
- Pass in 10+2 / PUC II or equivalent examination with Mathematics as one of the major subjects from a recognized Board/University.
Duration: 3 years (6 semesters)
Credits: Approximately 148 credits for 3-year degree (as per BCU NEP 2020 guidelines, may vary slightly based on elective choices) Credits
Assessment: Internal: 40%, External: 60%
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC1.1 | English Language I | Ability Enhancement | 2 | Basic English Grammar, Comprehension Skills, Writing Paragraphs and Essays, Vocabulary Building, Communication Skills |
| SEC1.1 | Basic Computer Skills / Analytical Reasoning | Skill Enhancement | 2 | Fundamentals of Computers, Operating System Basics, MS Office Suite, Internet and Web Browsers, Logical Reasoning Basics |
| MATDSC1.1 | Calculus - I | Core | 6 | Real Number System, Functions, Limits and Continuity, Differential Calculus, Mean Value Theorems, Partial Differentiation, Applications of Differentiation |
| MINDSC1.1 | Minor Subject 1 - I | Core | 6 | Fundamentals of chosen minor, Core concepts and principles, Basic applications, Introductory theories, Practical demonstrations |
| MINDSC1.2 | Minor Subject 2 - I | Core | 6 | Fundamentals of chosen minor, Core concepts and principles, Basic applications, Introductory theories, Practical demonstrations |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC2.1 | Indian Language I (e.g., Kannada/Hindi/Sanskrit) | Ability Enhancement | 2 | Basic Grammar and Vocabulary, Reading Comprehension, Paragraph Writing, Cultural Aspects, Conversational Skills |
| SEC2.1 | Problem Solving / Data Analysis Basics | Skill Enhancement | 2 | Problem Identification, Data Collection Methods, Basic Statistical Analysis, Data Visualization, Interpretation of Results |
| MATDSC2.1 | Algebra - I | Core | 6 | Group Theory Basics, Subgroups and Cyclic Groups, Permutation Groups, Ring Theory Fundamentals, Integral Domains and Fields, Polynomial Rings |
| MINDSC2.1 | Minor Subject 1 - II | Core | 6 | Advanced concepts in minor 1, Problem-solving techniques, Experimental methodologies, Theoretical frameworks, Case studies/applications |
| MINDSC2.2 | Minor Subject 2 - II | Core | 6 | Advanced concepts in minor 2, Problem-solving techniques, Experimental methodologies, Theoretical frameworks, Case studies/applications |
Semester 3
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC3.1 | Environmental Studies | Ability Enhancement | 2 | Ecosystems and Biodiversity, Environmental Pollution, Natural Resources, Climate Change, Environmental Ethics and Policies |
| SEC3.1 | LaTeX and Geogebra / Mathematical Software | Skill Enhancement | 2 | Introduction to LaTeX, Document Preparation in LaTeX, Geogebra for Geometric Visualizations, Basic Mathematical Software Usage (e.g., Python/R for plots), Equation Typesetting |
| MATDSC3.1 | Real Analysis - I | Core | 6 | Sequences and Series of Real Numbers, Limits and Continuity, Differentiability of Functions, Riemann Integrals, Improper Integrals, Functions of Bounded Variation |
| MINDSC3.1 | Minor Subject 1 - III | Core | 6 | Specialized topics in minor 1, Advanced problem-solving, Research methodology basics, Applications in real-world scenarios, Critical analysis and synthesis |
| MINDSC3.2 | Minor Subject 2 - III | Core | 6 | Specialized topics in minor 2, Advanced problem-solving, Research methodology basics, Applications in real-world scenarios, Critical analysis and synthesis |
| OE3.1 | Open Elective - I | Elective | 3 | Introduction to chosen elective, Key concepts and theories, Practical applications, Contemporary issues, Societal relevance |
Semester 4
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| AECC4.1 | Constitution of India | Ability Enhancement | 2 | Preamble and Fundamental Rights, Directive Principles of State Policy, Structure of Indian Government, Emergency Provisions, Constitutional Amendments |
| SEC4.1 | Financial Mathematics / Operations Research basics | Skill Enhancement | 2 | Time Value of Money, Interest and Annuities, Basic Linear Programming, Transportation Problem, Assignment Problem |
| MATDSC4.1 | Differential Equations - I | Core | 6 | First Order Differential Equations, Second Order Linear Equations, Laplace Transforms, Partial Differential Equations, Fourier Series, Series Solutions of ODEs |
| MINDSC4.1 | Minor Subject 1 - IV | Core | 6 | Applied aspects of minor 1, Industry-relevant skills, Project development, Advanced tools and technologies, Ethical considerations |
| MINDSC4.2 | Minor Subject 2 - IV | Core | 6 | Applied aspects of minor 2, Industry-relevant skills, Project development, Advanced tools and technologies, Ethical considerations |
| OE4.1 | Open Elective - II | Elective | 3 | Specialized topic in chosen elective, Advanced concepts and applications, Interdisciplinary connections, Current trends and research, Societal impact |
Semester 5
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATDSC5.1 | Abstract Algebra - II | Core | 6 | Vector Spaces, Subspaces and Quotient Spaces, Linear Transformations, Eigenvalues and Eigenvectors, Inner Product Spaces, Orthogonality |
| MATDSC5.2 | Complex Analysis - I | Core | 6 | Complex Number System, Analytic Functions, Complex Integration, Cauchy''''s Integral Theorem, Singularities and Residues, Conformal Mappings |
| MATDSE5.1 | Discipline Specific Elective - I (e.g., Number Theory) | Elective | 6 | Divisibility and Congruences, Prime Numbers and Factorization, Diophantine Equations, Euler''''s Phi Function, Quadratic Residues, Public Key Cryptography Basics |
| MATDSE5.2 | Discipline Specific Elective - II (e.g., Graph Theory) | Elective | 6 | Introduction to Graphs, Paths, Cycles, and Connectivity, Trees and Spanning Trees, Planar Graphs, Graph Coloring, Network Flows |
| OE5.1 | Open Elective - III | Elective | 3 | Advanced concepts in chosen elective, Research and development, Policy implications, Future trends, Case studies and project work |
Semester 6
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MATDSC6.1 | Topology | Core | 6 | Topological Spaces, Open and Closed Sets, Continuous Functions, Connectedness and Compactness, Countability Axioms, Metric Spaces |
| MATDSC6.2 | Numerical Analysis | Core | 6 | Numerical Solutions of Equations, Interpolation, Numerical Differentiation, Numerical Integration, Numerical Solutions of Ordinary Differential Equations, Error Analysis |
| MATDSE6.1 | Discipline Specific Elective - III (e.g., Operations Research) | Elective | 6 | Linear Programming Problems, Simplex Method, Duality Theory, Transportation and Assignment Problems, Game Theory, Queuing Theory |
| MATDSE6.2 | Discipline Specific Elective - IV (e.g., Cryptography) | Elective | 6 | Classical Ciphers, Symmetric Key Cryptography (AES, DES), Asymmetric Key Cryptography (RSA), Hash Functions, Digital Signatures, Key Management |
| OE6.1 | Open Elective - IV | Elective | 3 | Specialized topic in chosen elective, Critical evaluation and synthesis, Entrepreneurial opportunities, Global perspectives, Capstone project preparation |
