Course Details
Course Information Package
Course Unit Title | NUMERICAL METHODS | ||||||
Course Unit Code | AMAT314 | ||||||
Course Unit Details | BSc Mechanical Engineering (Required Courses) - BSc Civil Engineering (Required Courses) - | ||||||
Number of ECTS credits allocated | 5 | ||||||
Learning Outcomes of the course unit | By the end of the course, the students should be able to:
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Mode of Delivery | Face-to-face | ||||||
Prerequisites | AMAT223,AMAT204 | Co-requisites | NONE | ||||
Recommended optional program components | NONE | ||||||
Course Contents | Introduction: Use of mathematical modelling in engineering problem solving; Overview of modern engineering tools used in engineering practice (such as MATLAB); Approximations of errors.
Roots of Equations: Bracketing Methods(Graphical, Bisection and False Position Methods), Open Methods(Fixed-Point Iteration, Newton-Rapson and Secant Methods, Multiple Roots and Systems of Nonlinear Equations), Roots of Polynomials(Conventional, Muller’s, and Bairstow’ Methods).
Curve Fitting: Interpolation Methods, Least-Squares Regression.
Numerical Integration: Newton-Cotes Integration Formulas (Trapezoidal Rule, Simpson’s Rules, Integration with unequally spaced data, Open Integration Formulas), Integration of Equations (Newton-Cotes Algorithms for Equations, Romberg Integration, Gauss Quadrature).
Numerical Differentiation: High-Accuracy Differentiation Formulas,
Numerical Solution of Ordinary Differential Equations: Initial value problems, single and multiple step problems, convergence and stability. Boundary value problems, finite difference methods using simple routines. The Euler Method, the Runge-Kutta Methods, and Multi-step Methods.
Numerical solution of field problems: Finite difference methods, applications using simple routines.
Applied Engineering Problems using MATLAB
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Recommended and/or required reading: | |||||||
Textbooks |
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References |
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Planned learning activities and teaching methods | The method of interactive teaching is used for the delivery of the teaching material. A variety of strategies are employed to ensure that all students have equal opportunities to learn. The lesson plans are carried out in several ways such as by questioning, explaining, collaborating and demonstrating. Students can take in class lecture notes and are given additional practice problems either in class or through the website. | ||||||
Assessment methods and criteria |
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Language of instruction | English | ||||||
Work placement(s) | NO |