Numerical Methods
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Numerical Methods Syllabus — Unit-wise Content
The official GTU curriculum for Numerical Methods (subject code 3142008) as prescribed for Mechatronics · Semester 4 divides the course into 5 units, covering 35 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 (3142008)Unit 1 Mathematical Modeling and Error Analysis
- Mathematical modeling
- Accuracy and precision
- Modeling error
- Inherent error
- Round-off and truncation errors
- Absolute error
- True percentage relative error
- Approximate percentage relative error
Unit 2 Roots of Nonlinear Equations
- Bisection Method
- False Position Method
- Newton- Raphson Method
- Secant Method
- Fixed Point Iteration Method
- Case studies
Unit 3 Systems of Linear Equations
- Gauss Elimination Method
- Gauss Jordan Method and matrix inversion
- Pitfalls of elimination methods and techniques for improving solutions
- Gauss-Seidel Method
- Gauss-Jacobi Method
- Convergence criteria
- Case studies
Unit 4 Curve Fitting
- Least-Squares Regression: Linear regression
- Linearization of nonlinear relationships (Exponential Model
- Power Law, Saturation-growth-rate equation)
- Polynomial regression
- Multiple linear regression
- Case studies Finite Differences and Interpolation: Finite difference operators and their relations
- Newton’s forward and backward difference methods
- Lagrange’s interpolation method
- Inverse interpolation
- Newton’s divided difference method
- Cubic Spline Interpolation
- Case studies
Unit 5 Numerical Differentiation and Integration
- Numerical Differentiation: Derivatives using forward difference and backward difference formulae
- Case studies 05 Subject Code:3142008 w.e.f
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