2017/18 Undergraduate Module Catalogue
MECH1520 Engineering Mathematics
20 creditsClass Size: 270
Module manager: Dr Mark Wilson
Email: M.Wilson@leeds.ac.uk
Taught: Semesters 1 & 2 (Sep to Jun) View Timetable
Year running 2017/18
This module is not approved as a discovery module
Objectives
1. Use vectors to represent three-dimensional space, including points, lines and planes and intersections among these.2. Differentiate and integrate vectors in the context of dynamics problems, and understand scalar and vector products and their use in mechanics and dynamics.
3. Integrate and differentiate functions using a range of techniques and relate integrals and derivatives to physical quantities such as rates of change, areas, volumes, averages, maxima and minima etc.
4. Sketch (freehand) basic and composite functions.
5. Create and solve first order ordinary differential equations using separation of variables, substitution and integrating factors, and apply boundary conditions where appropriate.
6. Understand the process of mathematical modelling and problem solving.
7. Differentiate and integrate functions of more than one variable.
8. Understand the formation of matrices, their associated algebra, their use in the solution of simultaneous equations and in graphical transformations, and the concept of an eigenvalue and eigenvector.
9. Understand the concept of a complex number and the basic algebra of complex numbers.
10. Understand basic statistics, regression and elementary probability.
Success Criteria
% of max mark Rating Indication
80-100 - Excellent
Full mastery of concepts and techniques and how to apply them; confidence in the use of mathematics at this level.
65-79 - Very good
Good command of most concepts and methods but lack of full understanding in one or two areas.
50-64 - Good
Solid grasp of main ideas but not the finer points. Or good command of some areas but partial understanding of others. Perhaps some careless mistakes.
40-49 - Satisfactory
Understanding of the basics but lack of ability or confidence to apply ideas or techniques in different settings. Or good grasp of one particular area and limited understanding of the rest. Perhaps careless in workings.
20-39 - Fail
Only partial understanding of some concepts and techniques.
0-19 - Serious Fail
No or very poor understanding of anything beyond basic concepts and algebra.
Learning outcomes
Mathematical manipulation, mathematical modelling and problem solving, solution of ordinary differential equations.
Skills outcomes
Mathematical techniques, mathematical modelling, solution of Ordinary Differential Equations, solution of matrix systems and statistics.
Syllabus
Definitions and use of vectors in 3D space; vector algebra; the scalar and vector products and their uses.
Functions and graphs; limits of functions.
Techniques for differentiation: product rule; quotient rule; chain rule; implicit differentiation; logarithmic differentiation; differentiating parametric equations; differentiating vectors in Cartesian and polar coordinate systems.
Techniques for integration: substitution; integration by parts; partial fractions; integration of vectors; numerical integration.
Engineering applications of integration and differentiation.
Functions of more than one variable: partial differentiation; multiple integrals.
First order differential equations; mathematical modelling and problem solving.
Vector equations of lines and planes.
Matrix algebra; transformation matrices; eigenvalues and eigenvectors.
Complex numbers; hyperbolic functions.
Statistics, regression and elementary probability.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Class tests, exams and assessment | 1 | 2.00 | 2.00 |
| Class tests, exams and assessment | 2 | 1.00 | 2.00 |
| Lecture | 44 | 1.00 | 44.00 |
| Practical | 20 | 1.00 | 20.00 |
| Tutorial | 4 | 1.00 | 4.00 |
| Private study hours | 128.00 | ||
| Total Contact hours | 72.00 | ||
| Total hours (100hr per 10 credits) | 200.00 | ||
Private study
Reviewing lecture notes, solving example sheets, preparing for tutorials and class tests. Revising for final exam. Students are to spend 1 hour preparation for each lecture; 2 hours preparation for each tutorial; 10 hours preparation for each class test; a further 57 hours for exam preparation.Opportunities for Formative Feedback
Students will receive formative feedback from a class test in each semester.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Class test in semester 1 | 20.00 |
| In-course Assessment | Class test in semester 2 | 20.00 |
| Total percentage (Assessment Coursework) | 40.00 | |
Module resit is 100% exam in August.
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr | 60.00 |
| Total percentage (Assessment Exams) | 60.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 16/10/2017
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD