2013/14 Undergraduate Module Catalogue
PEME1040 Mathematical Techniques 1
10 creditsClass Size: 225
Module manager: Dr A M Mullis
Email: a.m.mullis@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2013/14
Pre-requisite qualifications
A-level mathematics at grade D or above or completion of PEME1050 Foundation MathematicsPre-requisites
PEME1050 | Foundation Mathematics |
Module replaces
PREN1040 Mathematical Techniques 1This module is not approved as an Elective
Objectives
On completion of this module, students should have a proficiency in basic Engineering Mathematics. To provide a mathematical basis for level 2 modules.Skills outcomes
On completion of this module students will be able to:
- perform partial differentiation of equations
- find solutions for second order differential equations
- understand and work with complex numbers
- define hyperbolic functions and differentiate them
- manipulate matricies and solve simultaneous equations using matrix methods.
Syllabus
- Complex numbers - arithmetic graphical representation, De Moivre's Theorem
- Hyperbolic functions - identities, differentiation
- Matricies - Basic operations (addition, subtraction, multiplication, transpose, inverse), eigenvalue problems, matrix method for simultaneous equations
- Review of differentiation and integration techniques
- Partial differentiation - simultaneous changes, rate of change problems
- Differential equations - solution of first and second order equations
- Partial differential equations.
Teaching methods
Delivery type | Number | Length hours | Student hours |
Example Class | 22 | 1.00 | 22.00 |
Class tests, exams and assessment | 11 | 2.00 | 22.00 |
Lecture | 11 | 1.00 | 11.00 |
Private study hours | 45.00 | ||
Total Contact hours | 55.00 | ||
Total hours (100hr per 10 credits) | 100.00 |
Private study
Reading of course material (available on-line) in advance of the lecture.Practicing techniques developed in the lectures/examples classes.
Working through both the assessed and non-assessed examples provided in support of the classes (typically 20+ questions are provided per week, with full worked answers being provided by the tutors in the week after assessment).
Opportunities for Formative Feedback
Weekly multiple choice tests covering the material delivered in the lecture that week and subsequently developed and practiced in the 2 examples classes.Methods of assessment
Coursework
Assessment type | Notes | % of formal assessment |
In-course MCQ | Weekly MCQ (11 weeks) | 30.00 |
Total percentage (Assessment Coursework) | 30.00 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
Exam type | Exam duration | % of formal assessment |
Standard exam (closed essays, MCQs etc) | 2 hr | 70.00 |
Total percentage (Assessment Exams) | 70.00 |
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: 11/03/2015
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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