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2019/20 Undergraduate Module Catalogue

CAPE1040 Mathematical Techniques 1

10 creditsClass Size: 240

Module manager: Professor AM Mullis
Email: a.m.mullis@leeds.ac.uk

Taught: Semester 2 View Timetable

Year running 2019/20

Pre-requisite qualifications

A-level mathematics at grade D or above or completion of PEME1050 Foundation Mathematics

This 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 typeNumberLength hoursStudent hours
Example Class221.0022.00
Lecture111.0011.00
Private study hours67.00
Total Contact hours33.00
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 typeNotes% of formal assessment
In-course MCQMCQ 210.00
In-course MCQMCQ 310.00
In-course MCQMCQ 10.00
Total percentage (Assessment Coursework)20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 80.00
Total percentage (Assessment Exams)80.00

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 website

Last updated: 19/07/2018

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