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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2010/2011
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DRPS : Course Catalogue : School of Engineering : Civil

Undergraduate Course: Analytical Techniques for Civil Engineers 2 (CIVE08016)

Course Outline
School School of Engineering College College of Science and Engineering
Course type Standard Availability Available to all students
Credit level (Normal year taken) SCQF Level 8 (Year 2 Undergraduate) Credits 10
Home subject area Civil Other subject area None
Course website None Taught in Gaelic? No
Course description This course includes lectures on the representation of engineering functions, modelling of simple continuous and multi-dimensional continuous systems, and the use of statistical techniques in Civil Engineering.
Entry Requirements
Pre-requisites It is RECOMMENDED that students have passed Applicable Mathematics 1 (MATH08027) AND Applicable Mathematics 2 (MATH08031) AND Mathematical Methods 1 (MATH08029) AND Mathematical Methods 2 (MATH08032)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisites None
Displayed in Visiting Students Prospectus? Yes
Course Delivery Information
Delivery period: 2010/11 Semester 1, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 11:10 - 12:00
King's BuildingsLecture1-11 11:10 - 12:00
King's BuildingsTutorialTutorials2-11 12:10 - 13:00or 12:10 - 13:00
First Class Week 1, Tuesday, 11:10 - 12:00, Zone: King's Buildings. Lecture Theatre 1, Daniel Rutherford Building
Additional information Tutorials to be arranged.
Exam Information
Exam Diet Paper Name Hours:Minutes Stationery Requirements Comments
Main Exam Diet S1 (December)Analytical Techniques for Civil Engineers 21:3012 sides / 2 x graph
Resit Exam Diet (August)1:3012 sides / 2 x graph
Summary of Intended Learning Outcomes
By the end of the course students should be able to:
- solve a variety of statistical problems that they will encounter in other courses in the 2nd and later years;
- to model and solve some common civil engineering problems via the use of calculus;
- calculate the safety margins and probability of failure of simple structures given statistical information about the strengths and loadings.
Assessment Information
Examination only.
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus LECTURES

Section 1. Calculus and Differential Equations
L1 Introduction
Calculus in modern Civil Engineering: the needs of the practising engineer. The meaning of a differential: elementary examples and revision.

L2 Differentiation techniques
Review of differentiation techniques: product, quotient, function of a function, successive, implicit, logarithmic (all with examples).

L3 Partial differentiation
Partial derivatives, total differential, rates of change with partial derivatives, maxima minima and saddles (all with examples).

L4 Integration
Definitions and fundamentals, integration by parts, examples.

L5 Introduction to differential equations
Definition and nature of solutions, ordinary and partial DEs,. First order ordinary differential equations: civil engineering examples.

L6 Second order ordinary differential equations
Simple harmonic motion, complementary function and the variety of particular integrals. Second order ODEs as a paradigm for all ODE and PDE solutions. Complementary function and particular integral

L7 Second and third order ordinary differential equations
General second order ODE: damped vibrations, structural members in tension. Third order ODEs: non-uniform torsion.

L8 Fourth order ordinary differential equations
Fourth order ODEs: beam bending on Winkler foundation, local axisymmetric bending of a cylindrical shell, particular integrals, boundary conditions, special cases.

L9 Fourier series
Fourier series and analysis

L10 Partial differential equations I
Introduction, differential operators, boundary value problems, Classic PDEs: heat conduction, Laplace&ęs equation, Bending of elastic plates. Summary and perspectives based on Civil Engineering applications.

Section 2. Statistics
L11 Introduction to basic statistics and probability
Nature and causes of uncertainty in Civil Engineering. Risk. Representation of random samples. Course content.

L12 Description of random data
Mean, median, mode, sample variance, sample standard deviation, percentiles, quartiles, population variance.

L13 Probability
Definitions, Venn diagrams, notation, independence, Bayes' theorem, tree diagrams.

L14 Discrete distributions - 1
Binomial distribution, combinations and permutations, probability bar charts, frequency histograms, cumulative frequency function.

L15 Discrete distributions - 2
Poisson distribution. Hypothesis testing.

L16 Continuous distributions
Definitions, probability distribution, probability density function, Normal Distribution, tables.

L17 Normal distribution
Central limit theorem, use of tables, examples

L18 Lognormal and other distributions
Lognormal, exponential, Pearson distributions and examples

L19 Regression and correlation analysis: 1
Least squares method, regression line, regression of y-on-x and x-on-y, confidence limits and assessment procedure, correlation coefficient, example.

L20 Regression and correlation analysis: 2
Procedure for goodness of fit test, correlation and causation, application to engineering problems, example.

L21 Summary and review
A review of the material covered and its context within the courses.

TUTORIALS

Calculus
Tutorial 1 Differentiation
Problems of differentiation of common functions and their combinations.

Tutorial 2 Integration and first order linear differential equations
Revision of integration. Solution of first order linear differential equations.

Tutorial 3 Second order differential equations
Solution of first order linear differential equations.

Tutorial 4 Third order, fourth order and partial differential equations
Solution of higher order and partial differential equations.

Statistics

Tutorial 5 Probability and discrete distributions
Simple calculations of probabilities, tree diagrams, conditional probability, testing simple hypotheses, statistics of discrete distributions, modelling of data.

Tutorial 6 Regression and correlation analysis
Calculation of regression lines, estimation of prediction error, correlation coefficient, confidence limits, use of regression analysis in practical engineering problems.

Tutorial 7 Continuous distributions
Statistics of the normal distribution and use of distribution tables. Exponential distribution and other simple continuous distributions.
Transferable skills Not entered
Reading list There are many suitable references for this course, including:
Advanced Engineering Mathematics Kreyszig, E John Wiley and Sons.
Study Abroad Not entered
Study Pattern Not entered
Keywords Not entered
Contacts
Course organiser Dr Martin Gillie
Tel: (0131 6)50 7204
Email: M.Gillie@ed.ac.uk
Course secretary Mrs Sharon Potter
Tel: (0131 6)51 7079
Email: Sharon.Potter@ed.ac.uk
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copyright 2011 The University of Edinburgh - 31 January 2011 7:27 am