B.E. (Automation and Robotics) Advanced Computational Techniques Syllabus - Mumbai University 2026
The University has moved this degree onto NEP 2020 one year at a time. The first and second years are NEP 2020 syllabi; the third and fourth years are still examined on the REV-2019 'C' Scheme, which is what the University sets for them this year.
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Syllabus for Advanced Computational Techniques
.1. Knowledge of basic programming languages (e.g., Python, C++, MATLAB) 2. Understanding of calculus, linear algebra, and differential equations 3. Familiarity with basic algorithms and data structures.
Module 1
- Numerical Methods for Control Systems: Fixed point iteration for a non-linear system, Newton Raphson method for solving system of non-linear equations, criteria for convergence, error analysis.
Module 2
- Fourier approximations: Curve fitting with sinusoidal functions, Continuous Fourier series, Fourier integral and transforms, Discrete Fourier transforms, Fast Fourier transforms
Module 3
- Boundary value and Eigen value problems: Shooting method for solving boundary value problems, Finite difference approximation of boundary value problems, Polynomial method to determine Eigen values, power method, LR method and QR method.
Module 4
- Solution of partial differential equations-I: Finite difference methods: Parabolic: Forward time central space & Crank Nicolson method Hyperbolic: Lax Friedrichs method & Mac Cormack method Finite volume methods: Monotonic upstream-cantered (MUSCL), Riemann Solver
Module 5
- Solution of partial differential equations-II: Finite element methods: hp-FEM, Discontinuous Galerkin (DG) Meshfree Methods: Smoothed-particle hydrodynamics, Moving particle semi-implicit method.
Module 6
- Optimization Techniques in Robotics: Gradient-based and metaheuristic optimization algorithms: Sequential quadratic programming, Genetic algorithms, simulated annealing.
Text Books
- 1 “Numerical solutions for Differential Equations” by Smith G.D, Mc Graw Hill
- 2 “Modern Methods for Engineering Computations” by Ketter and Prawel, Mc Graw Hill
- 3 “Numerical Methods for Initial and Boundary value problems,” by Rajasekharan S. Khanna publishers 2003.
- 4 “Optimization Theory and applications” by S.S. Rao, Wiley Eastern
- 5 “Numerical Methods for Engineers” by Steven C. Chapra and Raymond P. Canale
- 6 “Optimization Techniques in Engineering” by G. S. R. Murthy
- 1 “Numerical Optimization” by Jorge Nocedal and Stephen J. Wright
- 2 “Pattern Recognition and Machine Learning” by Christopher M. Bishop
- 3 “Introduction to Autonomous Robots” by Nikolaus Correll and Michael A. Goodrich
- 4 “Control Systems Engineering” by Norman S. Nise
- 5 “Introduction to Robotics: Mechanics and Control” by John J. Craig U University of Mumbai
Reproduced from the University of Mumbai syllabus for B.E. (Automation and Robotics) under REV-2019 'C' Scheme, in force from the academic year 2024-25. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.