MODULE DESCRIPTOR

Module Title / Engineering Analysis 1
Module Code / FV1302 (L4) / CREDIT
VALUE / 20
date OF
ApprovAL / April 2012 / VERSION NUMBER / 2
SCHOOL / Forensic and Investigative Sciences / PARTNER INSTITUTION / HKCityU

Relationship with other Modules

Co-requisites / Pre-requisites / Excluded Combinations

Module Aims

To establish fundamental mathematical skills and provide a framework of mathematical techniques with which to analyse engineering problems; thence to apply them in the analysis and solution of common engineering problems. Students are required to practice solving applied mathematical problems.

MODULE Content

Review Algebra and Trigonometry:
Review solving linear equations, transposition of equations and indices, with examples taken from common engineering practice; solution of linear simultaneous equations; solution of quadratic equations using the formula. Trigonometry: Use of trigonometric ratios to solve right-angled triangles and Pythagoras Theorem. Use of Sine rule and Cosine rule for general triangles and applications to engineering problems. Radian measure, converting between degrees and radians.
Matrices and Determinants
Evaluation and properties of determinants. Minors and cofactors. Matrices – order, equality, transpose and multiplication by a scalar. Operations and compatibility. Solution of a set of linear equations using any appropriate method, Gaussian elimination, matrix inverse method or Cramer’s method.
Calculus:
Differentiation: Idea of a limit. Derivatives of standard functions (polynomials, exponential, trigonometric and logarithmic functions), sums, products, quotients, and second derivatives. Stationary points, maximum and minimum and applications.
Application of Statistical Data:
Probability: Definition, mutually exclusive, addition and multiplication rule. Probability distribution, expectation and variance. Review definitions of mean and standard deviation for frequency distributions. Scattergrams, correlation coefficients and regression lines. Applications in design and manufacture.
Learning Outcomes
On successful completion of this module a student will be able to:
1. / Transpose equations and solve linear and quadratic equations involving brackets, solve engineering problems using trigonometry
2. / Solve systems of linear equations using any appropriate method
3. / Demonstrate an understanding of the fact that a slope of a curve is the limit of the slope of a chord and find the slope of functions at given point
4. / Find the stationary points for different curves
5. / Calculate correlation coefficients and draw lines of best fit for given data sets

ASSESSMENT METHODS

The method of assessment for this module has been designed to test all the learning outcomes. Students must demonstrate successful achievement of these learning outcomes to pass the module.
Number of Assessments / Form of Assessment / % weighting / Size of Assessment/Duration/
Wordcount(indicative only) / Category of assessment / Learning Outcomes being assessed
1 / Problem solving exercises / 40% / Calculations, 2000 word equivalent / Coursework / 1, 2
1 / Examination / 60% / 2 hours / Written exam / 1-5

appendix

MODULE CODE:FV1302MODULE TITLE:ENGINEERING ANALYSIS 1

location of study: PRESTON CAMPUS

HKCityU

Module TUTOR(S) / Dr Khalid Khan
Module
Delivery / Semester Long / Semester 1 / Semester 2 / Semester 3
Year long / Semester 1 & 2 / Semester 2 & 3
Other (please indicate pattern of delivery) / Block Delivery

Module Learning Plan

Learning, teaching AND ASSESSMENT Strategy
The course is delivered with lectures and tutorials combined.
New theory is first developed and explained by the tutor with opportunities for the learners to ask questions on any areas of concern.
The learners are given problems and tasks to solve in class to ascertain if understanding of the material is taking place.
The tutor is available to individual learners on a one-one basis for explanation and clarification of material as necessary.
The student is expected to complete all exercises before the next session.
Students will be provided with reading lists to assist their study of the subject, and they will be expected to prepare material in advance of the sessions for discussion The assessment strategy is designed to enable students to produce a professional standard report, which demonstrate their ability to apply mathematical techniques to solving a range of practical engineering problems.
SCHEDULED LEARNING AND TEACHING ACTIVITY / No of hours
Lectures and Tutorials
48 hours core teaching hours (12 hours per block )
12 hours tutorials ( full time students only ) / 48
12
TOTAL SCHEDULED LEARNING HOURS
Full time students
Part time students / 60
48
GUIDED INDEPENDENT STUDY
This module allows the learner to develop an awareness and understanding of mathematical techniques used in solving a range of engineering problems. It also aims to provide an awareness of how some of these techniques are of importance to other modules within the areas of fire engineering. Through the learning and teaching strategy, the module will also enhance students’ employability skills such as independent working, analysis, problem solving and working with others.
The University is committed to enhancing the employability of all students to enable them to thrive in an extremely competitive, dynamic and knowledge-based economy. The module aims to enrich the lives of students both personally and professionally and equip them with the knowledge and skills which will help to ensure their future employability.
Preparation for lectures:
Develops students’ skills in reading, assimilating information, reinforcing understanding and contributing meaning fully to discussions / 100
Preparations for assignment:
Develops students’ skills in learning independently, researching, making use of written, electronic and human information, reading, managing time and writing in a suitable style and at an appropriate level / 25
Preparation for examination:
Develops students’ skills in reading, planning and assimilating information / 15
TOTAL GUIDED INDEPENDENT STUDY HOURS / 140
TOTAL STUDENT LEARNING HOURS / 200

Bibliography and Learning Support Material

Essential reading
Course notes and hand-outs
Croft, A. and Davison, R. (2008) Mathematics for Engineers, 3rd Edition, Pearson Prentice Hall
Stroud, K.A. and Booth, D.J. (2007) Engineering Mathematics, 6thEdition. Macmillan
Additional reading
Bird, J. (2010) Basic Engineering Mathematics, 5th Ed; Newnes
Booth, D.J. (1994) Foundation Mathematics, 2nd Edition, Addison Wesley