Course Overview:
B.Sc. in Applied Mathematics is a 3-year undergraduate program that focuses on the application of mathematical methods and techniques in various fields, such as engineering, physics, economics, and computer science. The course emphasizes problem-solving skills, mathematical modeling, and computation, preparing students for careers in research, data analysis, software development, and finance.
Duration:
3 years (6 semesters)
Syllabus - Semester-Wise Breakdown
Year 1 (Semester 1 & 2):
Calculus: Differential and integral calculus, multivariable calculus, and applications.
Linear Algebra: Vector spaces, matrices, determinants, eigenvalues, and eigenvectors.
Probability and Statistics: Basic probability theory, random variables, distributions, and statistical methods.
Mathematical Logic and Set Theory: Introduction to formal logic, set theory, and their applications in mathematics.
Computer Programming: Introduction to programming languages, algorithms, and their application in solving mathematical problems.
Laboratory I: Practical programming and computational methods related to calculus and algebra.
Year 2 (Semester 3 & 4):
Ordinary Differential Equations: First and second-order differential equations, solutions, and applications in real-world problems.
Numerical Methods: Techniques for numerical computation, error analysis, and solving mathematical problems computationally.
Discrete Mathematics: Combinatorics, graph theory, recurrence relations, and their applications.
Partial Differential Equations: Methods of solving PDEs and their applications in physics and engineering.
Real Analysis: Concepts of limits, continuity, differentiability, and integration in real number systems.
Laboratory II: Advanced computational methods, focusing on differential equations and numerical analysis.
Year 3 (Semester 5 & 6):
Complex Analysis: Study of complex numbers, analytic functions, complex integration, and conformal mappings.
Optimization Techniques: Linear programming, simplex method, and optimization techniques in engineering and economics.
Mathematical Modeling: Development of mathematical models to solve real-world problems in biology, economics, and engineering.
Fluid Dynamics: Study of fluid motion, governing equations, and applications in physics and engineering.
Advanced Topics in Applied Mathematics: Optional courses such as computational fluid dynamics, stochastic processes, or advanced numerical methods.
Internship and Project Work: Practical application of mathematical techniques through internships in industries or research institutions, and a final project focusing on a specific problem in applied mathematics.
Average Fees:
INR 30,000 - 1,50,000 per year (varies based on institution)
Exams to Attend:
JEE Mains (Joint Entrance Examination for some institutions)
IISER Aptitude Test (Indian Institutes of Science Education and Research)
BITSAT (Birla Institute of Technology and Science Admission Test)
DUET (Delhi University Entrance Test)
State-level entrance exams like KEAM (Kerala), KCET (Karnataka)
University-specific entrance exams
Top 10 Applied Mathematics Institutes in India:
Indian Institute of Science (IISc), Bangalore
Indian Institute of Technology (IIT), Delhi
Tata Institute of Fundamental Research (TIFR), Mumbai
Indian Statistical Institute (ISI), Kolkata
University of Delhi, Delhi
Birla Institute of Technology and Science (BITS), Pilani
Chennai Mathematical Institute (CMI), Chennai
Indian Institute of Technology (IIT), Bombay
Presidency College, Kolkata
Madras Christian College, Chennai
Top 10 Applied Mathematics Institutes in Kerala:
Cochin University of Science and Technology (CUSAT), Kochi
Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram
University of Kerala, Thiruvananthapuram
Mahatma Gandhi University, Kottayam
St. Thomas College, Thrissur
National Institute of Technology (NIT), Calicut
Sacred Heart College, Kochi
Farook College, Kozhikode
St. Joseph’s College, Devagiri
Mar Ivanios College, Thiruvananthapuram