Undergraduate Course: Numerical Methods and Computing 2 (CIVE08017)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This course includes an introduction to the concepts of scientific computing and a series of lectures and computing lab sessions on important numerical methods often used for the solution of mathematical problems encountered in Civil Engineering. 
Course description 
Lectures: Titles & Contents
Lectures are used to present the foundations of key numerical methods and their use in solving engineering problems. Emphasis is given on the application of the numerical methods and their implementation as computer algorithms.
L1: Introduction to numerical methods and computing
Introduction to numerical methods  relevance and usefulness. Overview of the course  aims and scope. Assessment and resources information. Preliminaries  general terms and concepts (convergence/divergence, stability, errors, iteration)  and examples.
L24: Solution of algebraic equations: nonlinear equations
Introduction to nonlinear equations. Civil engineering applications; advantages and pitfalls of numerical solution techniques. Alternative strategies: Bisection, False Position, NewtonRaphson and Secant. Analyse problems using different strategies, importance of understanding the function.
L57: Numerical integration:
Reasons for integration arising in civil engineering problems; nature of integration, differences between numerical and algebraic integration, format of integration schemes, notation. Trapezium, Simpson's, Simpson's 3/8 and Boole's rules. For each: use, method, validity, effort, errors, and examples. Style of Gauss rules, advantages over NewtonCotes rules, use of one and twopoint Gauss rules. Threepoint and higher rules. Use, errors, examples. Higher order rules.
L810: Numerical solution of ODE's
Introduction to solution of Ordinary Differential Equations, derivation and application of the Euler Method. Application of Euler, EulerCauchy and RungeKutta Methods.
L11: Revision
Applications and worked examples, to further demonstrate use of methods for solving Civil Engineering problems with guidance on checking correct implementation and common errors to avoid.
Lab Supported SelfStudy Computing Module (weeks 26)
Supported by weekly computing laboratory sessions, the student is introduced, using a specially developed selfstudy module, to the concepts of scientific programming and the use of a computing tool appropriate for engineering computation. The selfstudy module consists of five main units, each that broadly cover:
1. Basic Concepts (week 2)
2. Plotting (week 3)
3. Scripts and Functions (week 4)
4. Decision Making (week 5)
5. Loops (week 6)
Each individual unit contains many exercises with example solutions and some that have stepbystep instructions presented as video screencasts.
Computing Applications Sessions (weeks 711)
In the remaining Computing Laboratory sessions a number of exercises are undertaken. These will cover three key numerical methods and their applications as listed below. In each case some basic examples scripts may be provided but must be adapted to implement different methods.
1: Nonlinear Equations (week 7)
Students are asked to develop computer programs for the solution of nonlinear equations using NewtonRaphson, Bisection and False Position methods. These are then applied to the solution of various mathematical problems, with investigation of issues such as convergence and tolerances.
2. Numerical integration (week 8)
Students develop simple computer programs for the solution of Numerical integration problems, spanning rules of different order.
3: ODEs (week 9)
Students are asked to develop simple computer programs for the solution of ODE's, spanning methods of different order.
4. Labs revision (week 10)
5. Assessment ***compulsory attendance*** (week 11)

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  
Other requirements  None 
Additional Costs  None 
Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2018/19, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 10,
Supervised Practical/Workshop/Studio Hours 20,
Formative Assessment Hours 1,
Summative Assessment Hours 8,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
59 )

Assessment (Further Info) 
Written Exam
0 %,
Coursework
50 %,
Practical Exam
50 %

Additional Information (Assessment) 
Competence in Computing Class Test: 50%
Coursework 50% 
Feedback 
Mid Semester "Start, Stop, Continue"
Oral Feedback during Computing Laboratory Sessions
Written Feedback on submitted coursework
End of course "postmortem" 
No Exam Information 
Learning Outcomes
On completion of this course, the student will be able to:
 demonstrate skills in using computer programming tools for engineering calculations;
 demonstrate ability to construct simple computer algorithms using a programming tool;
 apply simple numerical methods to solve mathematical problems with relevance to civil engineering;
 appreciate the limitations and the applicability of the numerical methods;
 apply computerbased numerical methods for the solution of engineering problems.

Learning Resources
1. An Interactive Introduction to MATLAB
https://matlab.eng.ed.ac.uk/ 
Additional Information
Graduate Attributes and Skills 
Not entered 
Additional Class Delivery Information 
10 Lectures, plus revision
10 Computing Laboratory Sessions, including assessment 
Keywords  numerical method,scientific computing,nonlinear equations,numerical integration,ODE's 
Contacts
Course organiser  Dr Stephen Welch
Tel: (0131 6)50 5734
Email: S.Welch@ed.ac.uk 
Course secretary  Mr Craig Hovell
Tel: (0131 6)51 7080
Email: c.hovell@ed.ac.uk 

