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Dissertation
Brief Overview
Bachelor of Science (Honours) - BSc (Honours) - Applied Mathematics
The B. Sc. in Applied Mathematics is a distinctive programme offered by the School of Applied Mathematics. It aims not only to build a rigorous theoretical foundation in mathematical thinking but expose students to a wide variety of applications of mathematical modeling in Science, Engineering, Technology, and the Arts (SETA). This blending is achieved by its embedding in the liberal arts so that students learn about mathematical tools and techniques and continuously apply their learnings in a wide variety of domains.
The programme aims to attract hard-working and aspiring students to learn new mathematical concepts, the creativity to apply them innovatively in new domains, the ability to interpret and communicate the model solution/results. The subjects that students take include traditional branches of mathematics, such as algebra, real and complex analysis, differential equations, and numerical methods. It also offers several innovative and contemporary topics such as discrete mathematics, mathematical programming, calculus of variations, control theory, dynamical systems, and simulation modeling.
The programme also offers students various experiential learning opportunities, such as internships in industry and academia, live mathematical modeling projects, outreach programs to enhance mathematical literacy in the local community, and organizing seminars and conferences, all providing holistic education.
PEO (Program Educational Objectives)
Sample content for PEO
PSO (Program Specific Outcomes)
Sample content for PSO
PO (Program Outcomes)
Sample content for PO
Curriculum Structure
Year 1
Semester-wise Syllabus
| Semester | Domain | Subject Title |
|---|---|---|
| Semester I | School Core | Mechanics |
| Atomic structure and chemical bonding | ||
| Foundational Calculus | ||
| Foundational Statistics | ||
| Fundamentals of Film and Television Production | ||
| Basics of Animation and Design | ||
| Alliance Edge | Language and Communication 1 | |
| Language and Communication 2 | ||
| Digital Fluency 1 | ||
| Societal Orientation 1 | ||
| Life Skills 1 | ||
| Semester II | School Core | Astrophysics |
| Introduction to organic chemistry and hydrocarbons | ||
| Foundational Algebra | ||
| Foundational Probability | ||
| History of Cineme and Television | ||
| Basics of VFX and Gaming | ||
| Alliance Edge | Language and Communication 3 | |
| Language and Communication 4 | ||
| Data Skills 1 | ||
| Societal Orientation 2 | ||
| Life Skills 2 |
Year 2
Semester-wise Syllabus
| Semester | Domain | Subject Title |
|---|---|---|
| Semester III | Discipline Core | Advanced Calculus |
| Linear Algebra & Matrix Theory | ||
| Minor 1 | ||
| Minor 2 | ||
| Alliance Edge | Language and Communication 5 | |
| Digital Fluency 2 | ||
| Data Skills 2 | ||
| Societal Orientation 3 | ||
| Life Skills 3 | ||
| Semester IV | Discipline Core | Real Analysis |
| Advanced Algebra | ||
| Minor 3 | ||
| Minor 4 | ||
| Alliance Edge | Language and Communication 6 | |
| Digital Fluency 3 | ||
| Data Skills 3 | ||
| Societal Orientation 4 | ||
| Life Skills 4 |
Year 3
Semester-wise Syllabus
| Semester | Domain | Subject Title |
|---|---|---|
| Semester V | Discipline Core | Complex Analysis |
| Differential Equations | ||
| Operations Research | ||
| Numerical Methods | ||
| Minor 5 | ||
| Minor 6 | ||
| Learning Beyond Classroom | LBCR 1 | |
| Semester VI | Discipline Core / Discipline Optional | Vector Calculus |
| Discrete Mathematics & Combinatorics | ||
| Research Project | ||
| Minor 7 | ||
| Minor 8 | ||
| Learning Beyond Classroom | LBCR 2 |
Year 4
Semester-wise Syllabus
| Semester | Domain | Subject Title |
|---|---|---|
| Semester VII | Discipline Core | Topology |
| Integral Equations and Calculus of Variations | ||
| Functional Analysis | ||
| Learning Beyond Classroom | LBCR 3 | |
| Semester VIII | Discipline Core | Mathematical Modelling |
| Nonlinear Dynamics | ||
| Project | ||
| Learning Beyond Classroom | LBCR 4 |
Alliance Edge /<br> Minor Options
Semester-wise Syllabus
| Language and Communication (12) | Digital Fluency (6) | Data Skills (6) | Societal Orientation (8) | Life Skills (6) | LBCR (8) |
|---|---|---|---|---|---|
| Required credits - 30 Floating credits - 6 |
Required credits - 18 Floating credits - 4 |
8 credits | |||
| French / Spanish / German (2) | Information Literacy & Online Search Strategies (3) | Understanding & Visualizing Data using MS Excel (2) | Individual and Society (2) | Stress Prevention and Psychological First Aid( 2) | Pottery (2) |
| Communicative English (2) | Podcast Storytelling (3) | Mathematics in Nature (Modelling and pattern) (2) | Eastern and Western Societies (2) | Hope, Optimism and Resilience (2) | Music (2) |
| Hindi (2) | Introduction to Video-Production (3) | Sequences & Series (2) | Human, Society, and Environment-(2) | Decoding Success (2) | Painting (2) |
| Introduction to Academic Writing (2) | Data Privacy and Technology (3) | Making sense of data (2) | equity , Diversity and social inclusion (2) | Critical Thinking (2) | 2 Credits of Co-curricular activities / (2) |
| Public Speaking as Community Advocacy (2) | Fundamentals of data analytics (2) | Youth Culture (2) | Personal finance (2) | 2 credits of sports (Indoor/Outdoor) / (2) | |
| Language Education for Intercultural Citizenship (2) | Data Privacy and Technology (2) | Gender and Society (2) | Legal Awareness (2) | 2 credits of Extension activities (2) | |
| Non-Verbal Communication (2) | Advocacy, Social Justice and Change (2) | Essential Life Skills (2) | |||
| Collaboration (2) | Digital Sociology (2) | ||||
| Vyavaharika Kannada - 1 (For Students without Kannada Background) (2) | |||||
| Vyavaharika Kannada - 2 (For Students without Kannada Background) (2) | |||||
| Film and TV Studies | Animation, VFX and Gaming | Physics | Chemistry | Statistics |
|---|---|---|---|---|
| Principles of Cinematography | Advanced 2D Animation and Storyboarding Techniques | Heat and Thermodynamics | s and p Block Elements | Advanced Calculus |
| Visual Effects Fundamentals | 3D Animation Principles and Character Design | Mathematical Methods in Physics | Inorganic Chemistry Laboratory | Linear Algebra & Matrix Theory |
| Film Editing, Sound Design for Film and TV | Introduction to Visual Effects and game design | Electromagnetism | Chemical Thermodynamics and Chemical Kinetics | Descriptive Statistics & Probability Theory |
| Advanced Editing Techniques | Introduction to 3D Animation and Digital Painting | Electromagnetism Lab | Chemistry Laboratory | Distribution Theory |
| Television Production | Game Development Basics | Electronics | Quantum Chemistry & Spectroscopy | Statistical Inference |
| Studio Production | Introduction to Game Programming | Electronics Lab | Chemistry laboratory | Regression Analysis & Modelling |
| Advanced Screenwriting Workshop | Advanced Animation Techniques | Nuclear and Particle Physics | Electrochemistry and Surface chemistry | Time Series Analysis & Forecasting |
| Film Directing Principles | Advanced Game Design and Development | Condensed Matter Physics | Chemistry laboratory | Stochastic Processes |
COURSE OF INDEPENDENT STUDY
Independent Study
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ACTIVITY POINTS
Activity Points
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STUDENT
Program Eligibility Criteria
Eligibility of Admission
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Everything You Need to Know
B. Sc. Applied Mathematics is an undergraduate programme that blends mathematical theories with real-world applications.
B. Sc. Maths Honours provides strong foundations for higher studies like M. Sc., Ph. D., or professional exams. It is valued in teaching, research, and industry. Graduates also find roles in IT, finance, data analytics, and operations research.
Students must have completed Class 12 with Mathematics, or 10+2 from a recognized Board/Council with at least 50% aggregate marks, including Physics, Chemistry, or Mathematics as compulsory subjects. Candidates from SC / ST categories may receive a 5% relaxation in marks or the equivalent grade.
Popular options include M. Sc. Mathematics, M. Sc. Applied Mathematics, or M. Sc. Data Science.
The syllabus includes algebra, calculus, differential equations, probability, and analysis. It also covers linear algebra, mechanics, numerical methods, and statistics.
With advanced skills and specialisations, salaries can go up to INR 10–20 LPA in data science, analytics, or finance. International opportunities may offer even higher packages.
Yes, placements are offered in banking, finance, IT, and analytics. Companies such as TCS, Infosys, and Wipro actively recruit mathematics graduates.
The B. Sc. (Hons.) in Applied Mathematics is usually a 4-year undergraduate programme. It is divided into 8 semesters with continuous assessments.
The curriculum includes Calculus, Linear Algebra, Probability, Statistics, Differential Equations, and Numerical Methods. It also covers advanced topics like Mathematical Modelling and Optimisation. For more details, you can refer to the B. Sc. (Hons.) Applied Mathematics Page.
The program builds a strong foundation in mathematical theory and applied problem-solving. Research-oriented projects and seminars train students for M. Sc., Ph. D., or professional exams. It also enhances logical reasoning for exams like GATE, NET, and UPSC.
Alliance University blends mathematics with industry-relevant applications. It offers electives in data science, computing, and interdisciplinary areas. The program focuses on employability through internships, projects, and modern computational training.
Yes, the programme strongly emphasises analytical and logical reasoning. Students solve mathematical models of real-world problems in science, engineering, and finance. This prepares them for both research and industry roles.
Yes, Alliance University has a Career Advancement and Networking (CAN) cell. It helps students with placements, internships, and skill-building workshops. Career counselling and industry interaction ensure good opportunities.
Yes, the programmes integrate internships and project-based learning. Students apply classroom knowledge to real industry and research problems.
Students develop problem-solving, logical reasoning, and quantitative skills. They gain expertise in computational tools and statistical analysis. Communication and teamwork skills are also enhanced through projects.
