# 2022/23 Undergraduate Module Catalogue

## AVIA2100 Mathematical Techniques for Aerodynamics

### 10 creditsClass Size: 60

Module manager: Dr DC Peacock
Email: d.c.peacock@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2022/23

### Pre-requisites

 CAPE1040 Mathematical Techniques 1

This module is not approved as a discovery module

### Module summary

A knowledge of aerodynamics is key to successful aircraft design and operation. Anyone hoping to enter this field requires not only a grasp of the conceptual principles but also the mathematical knowledge and skills required to model the air flow around and the forces developed on the aircraft. This module aims to equip the student with the mathematical knowledge and skills required when they study aerodynamics in the level 3 module Aircraft 2.

### Objectives

This module aims to equip the students with the mathematical knowledge and skills to support them in their study of aerodynamics in AVIA 3000.

Learning outcomes
On completion of this module, students should be able to:
1. Use vectors to represent three-dimensional space, including points, lines and planes and find intersections among these.
2. Differentiate and integrate vectors in the context of dynamics problems, and understand scalar and vector products.
3. Apply a series to approximate a function.
4. Use series to solve differential equations.
5. Apply the skills learnt in LO1-4 to fluid flow applications.

Skills outcomes
Students acquire the following competencies in the module. In each case, the means of acquiring the competency is shown. These competencies correspond with those specified in "The Accreditation of Higher Education Programmes", Third edition, Engineering Council, 2014. P = practiced ACTIVELY, F= Formatively Assessed, S = Summatively Assessed. Discussions refer to both in-class discussions of questions from broad to highly focused and semi-structured discussion centred around numerous case studies.

SM2: HOW MANIFESTED: P through weekly problems solved both in class and outside of class. F through tests at the end of each section. S by the final exam.
EA3: HOW MANIFESTED: P through weekly problems solved both in class and outside of class. F through tests at the end of each section. S by the final exam.

### Syllabus

- Power series and applications
- Fourier series
- Review of vectors, matrices and determinants
- Concepts of vector calculus
- Applications of vector calculus to fluid dynamics and heat transfer

### Teaching methods

 Delivery type Number Length hours Student hours Examples Class 11 1.00 11.00 Lecture 11 1.00 11.00 Private study hours 78.00 Total Contact hours 22.00 Total hours (100hr per 10 credits) 100.00

### Private study

Students will review the lecture notes and work through weekly problem sheets which will be reviewed in the examples classes.

### Opportunities for Formative Feedback

Through the weekly examples classes.

### Methods of assessment

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 2 hr 100.00 Total percentage (Assessment Exams) 100.00

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: 12/07/2022

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