B.E. (Automobile Engineering) Computational Methods 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 Computational Methods
Motivation and applications of Computational Methods. Computation and Error Analysis:Accuracy and precision; Truncation andround-off errors (Numericals); Binary Number System; Error propagation.
Module 2: Linear Systems and Equations
- Matrix representation: Cramer's rule; Gauss Elimination. Matrix Inversion: LUDecomposition; Iterative Methods;Relaxation Methods; Eigen Values and Eigen Vectors.
Module 3: Non Linear Algebraic Equations:
- Bracketing methods: Bisection, Regula-Falsi. Crouts Method: LU Decomposition. Open methods: Secant, Fixed pointiteration, Newton-Raphson; MultivariateNewton’s method.
Module 4: Regression and Curve Fitting
- Interpolation function; Cubic Splines; Multi regression analysis, polynomial regression. Statistical methods: Statistical representation of data, modeling and analysis of data, test of hypotheses. Fuzzy Logic: Introduction to fuzzy logic, Fuzzy Logic Systems Architecture, Case study of Mechanical system.
Module 5: Integration and Integral Equations
- Newton Cotes Quadrature ODEs: Initial Value Problems Euler's methods; Predictor-corrector method (Adam’s Moulton, Milne’s Method) University of Mumbai , Rev 2019 26
Reproduced from the University of Mumbai syllabus for B.E. (Automobile Engineering) under REV-2019 'C' Scheme, in force from the academic year 2021-22. 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.