Numerical Methods in Chemical Engineering
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Numerical Methods in Chemical Engineering Syllabus — Unit-wise Content
The official GTU curriculum for Numerical Methods in Chemical Engineering (subject code 3140510) as prescribed for Chemical · Semester 4 divides the course into 6 units, covering 39 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3140510)Unit 1 Approximations and Errors
- Types of Errors
- Significant figures
- Accuracy of Numbers
- Error Propagation
- Applications in Chemical Engineering
Unit 2 Solution of Algebraic and Transcendental Equations
- Basic Properties of Equations
- Relations between Roots and Coefficients
- Descartes Rule of Sign
- Synthetic Division of a Polynomial by a Linear Expression
- Bracketing Methods (Bisection
- Method of False Position or Regula Falsi
- Convergence of Iterative Methods
- Newton-Raphson Method
- Newton-Raphson Method for Non Linear Equations in Two Variables (Numericals based on application in chemical engineering)
Unit 3 Solution of Linear Equations
- Mathematical Background
- Matrix inversion
- Gauss Elimination
- Gauss-Jordan Method
- Gauss-Seidel Iteration Method
- Jacobi’s Method
- Gauss-Seidel Method
- Eigen Value Problem (Numericals based on application in chemical engineering)
Unit 4 Curve Fitting
- Method of Least Squares
- Fitting a Straight Line and a Polynomial
- Fitting a Non-linear Function
- Fitting Geometric and Exponential Curves
- Fitting a Hyperbola
- a Trigonometric Function
- etc (Numericals based on application in chemical engineering)
Unit 5 Finite Differences & Interpolation
- Finite Differences: Forward
- Backward and Divided Differences Table
- Central Differences
- Newton’s Forward
- Backward and Divided Differences Interpolation Formula
- Interpolation Polynomials
- Lagrange Interpolation Formula
- Inverse Interpolation (Numericals based on application in chemical engineering)
Unit 6 Numerical Differentiation & Integration
- Differentiation Formula based on Tabulator at Equal and Unequal Intervals
- Newton-Cotes 6 Subject Name: Numerical Methods in Chemical Engineering Subject Code: 3140510
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