2020/21 Undergraduate Module Catalogue
CAPE1040 Mathematical Techniques 1
10 creditsClass Size: 240
Module manager: Dr JEJ Staggs
Email: j.e.j.staggs@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2020/21
Pre-requisite qualifications
A-level mathematics at grade D or above or completion of PEME1050 Foundation MathematicsThis module is not approved as a discovery module
Objectives
On completion of this module, students should have a proficiency in basic Engineering Mathematics. To provide a mathematical basis for level 2 modules.Learning 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 |
| Lecture | 11 | 1.00 | 11.00 |
| Private study hours | 67.00 | ||
| Total Contact hours | 33.00 | ||
| 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.
Opportunities for Formative Feedback
Weekly problem classes covering the material delivered in the lecture that week. First of 3 MCQs is purely formative.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Test | 15.00 |
| In-course Assessment | Test | 15.00 |
| 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 |
| Online Time-Limited assessment | 48 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: 10/08/2020 08:43:52
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- Undergraduate module catalogue
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- Taught Postgraduate programme catalogue
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