B.E. (Chemical Engineering) Numerical Method in Chemical Engineering 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 Numerical method in Chemical Engineering
Module 1: Introduction & Approximations, Algebraic and Transcendental equations printed in the syllabus as Module Detailed Content
- Motivation and Applications Accuracy and precision; Truncation and round-off errors; Binary Number System; Error propagation, fixed point iteration method, Newton Raphson Method Applications in Chemical Engineering. Self-learning Topics: Bisection, Regula, Falsi Method/false position.
Module 2: Linear Systems and Equations printed in the syllabus as Module Detailed Content
- Gauss Jacobi method; Matrix Inversion; LU Decomposition; TDMA Method. (Numericals based on application in Chemical Engineering) Self-learning Topics: Gauss-Jordan Method, Gauss Elimination method.
Module 3: Numerical Differentiation and Integration. printed in the syllabus as Module Detailed Content
- Numerical differentiation- analysis; higher order formulae. (Numericals based on application in Chemical Engineering) Self-learning Topics: .
Module 4: Interpolation printed in the syllabus as Module Detailed Content
- (Finite difference operators, difference tables, Newton's Forward/Backward, Central difference; interpolation formulae Cubic Splines. (Numericals based on application in Chemical Engineering) Self-learning Topics: Lagrange's Interpolation
Module 5: Partial differential equation printed in the syllabus as Module Detailed Content
- Laplace equation, Heat equation, wave equation, (Numericals based on application in Chemical Engineering) Self-learning Topics: Crank-Nicolson method, Bender Schmidt Method.
Module 6: ODEs: Initial Value Problems printed in the syllabus as Module Detailed Content
- Introduction to ODE- -corrector methods, Extension to multi-variable systems; Adaptive step size; Stiff ODEs. Over/Under Relaxation (SOR). (Numericals based on application in Chemical Engineering) Self-learning Topics: Adam Bashford Method to solve chemical engineering problems
Textbooks
- 1 V G Jenson, G V Jeffreys, Mathematical Methods in Chemical Engineering, Elsevier.
- 2 Mickley, Reid, Sherwood, Apllied Mathematics in Chemical Engineering, Tata McGraw Hill.
- 3 S K Gupta, Numerical Methods for Engineers, New Academic Science.
- 4 M K Jain, S R K Iyengar and R K Jain, Numerical Methods for Scientific and Engineering
- 5 S S Shastry, Introductory Methods of Numerical Analysis, Prentice Hall of India.
- 6 B S Grewal, Numerical Methods in Engineering & Science, Khanna Publishers.
- 7 Kenneth J Beers, Numerical methods for chemical engineering, Cambridge University Press.
- 1 https://nptel.ac.in/ (https://nptel.ac.in/courses/127106019)
- 2 https://nptel.ac.in/ (https://onlinecourses.nptel.ac.in/noc21_ma45/preview)
- 3 https://www.atozmath.com/default.aspx
Reproduced from the University of Mumbai syllabus for B.E. (Chemical Engineering) under NEP 2020, in force from the academic year 2026-27. Wording is as printed in that syllabus. Modules are numbered in sequence here; in the syllabus itself, Module 1 is printed as Module Detailed Content; Module 2 is printed as Module Detailed Content; Module 3 is printed as Module Detailed Content; Module 4 is printed as Module Detailed Content; Module 5 is printed as Module Detailed Content; Module 6 is printed as Module Detailed Content. The PDF above is the syllabus's own page, unaltered.
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.