201-Lect 1 - Objectives Construct mathematical models for...

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1 Week 1 MECH201 Engineering Analysis Week 1 Objectives • Construct mathematical models for linear and non-linear engineering systems • Apply existing numerical methods for a range of engineering systems • Make use of MATLAB/Spreadsheets for the numerical solutions of engineering problems Week 1 Text/Reference Books • Text book - Chapra S. C., and Canale, R. P., Numerical Methods for Engineers, 6 th Edition , McGraw- Hill, 2010, ISBN 978-0-07-340106-5 • References: - Nakamura, S. C., Applied Numerical Methods with MATLAB for Engineers and Scientists, 1 st Edition , McGraw-Hill, 2005, ISBN 0-07-239265-7 - Kuncicky, D. C., MATLAB Programming, Prentice Hall, 2004, ISBN 0-13-035127-X Week 1 Lecture/Tutorial Times Lecture Time Mondays 15.30 – 17.30 3.123 Tutorial Time Group 1: Thursday 09.30 – 11.30 8.G10 Group 2: Thursday 13.30 – 15.30 8.G10
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2 Week 1 Proposed Subject Program Week Lecture Reading Tutorial 1, WL Introduction to numerical methods Ch1 -4 Lecture Notes MATLAB Part 1 2, WL Roots of non-linear equations Ch 5 - 8 and Lecture Notes Tutorial hand-in 1 MATLAB Part 2 3, WL Linear Algebra Ch 9-12 Tutorial hand-in 2 4, WL Optimization Ch 13-16 Tutorial hand-in 3 5, WL Curve Fitting and Interpolation Ch 17 -20 Tutorial hand-in 4 MATLAB project handout 6, WL/WKS Mid-Session Quiz No tutorial 7, WKS Numerical Differentiation and Numerical Integration Ch 21-24 Tutorial hand-in 5 8, WKS Ordinary Differential Equations: Initial Value Problems Ch 25-26 MATLAB project report due 9, WKS Ordinary Differential Equations: Boundary Value and Eigenvalue Problems Ch 27 Tutorial hand-in 6 RECESS (28 September to 5 October) 10, WKS Public holiday, No lecture No tutorial 11, WKS Partial Differential Equations: Finite difference: elliptic equations Ch 29 Tutorial hand-in 7 Experiment handout 12, WKS Partial Differential Equations: Finite difference: Parabolic equations Ch 30 Tutorial hand-in 8 Matlab report due 13, WKS Revision Ch 30 Experimental report due Week 1 Assessment • Final exam 50% - at least 40% in the final exam for an overall pass • Mid-session Quiz 20% • MATLAB Project 10% • Experiment (group report) 10% • Tutorial hand-ins 10% Week 1 Week 1 Truncation Errors and the Taylor Series Week 1 Mathematical Modeling • Conservation laws for mathematical modeling (a) Newton’s 2 nd law; (b) Mass balance; (c) force balance; (d) current balance; (e) voltage balance input output +F H -F H +F V -F V Σ F m +i 1 -i 3 -i 2 i ε (a) (b) (c) (d) (e)
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3 Week 1 Mathematical Modeling Week 1 Numerical methods • Many engineering problems have no
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201-Lect 1 - Objectives Construct mathematical models for...

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