2015/16 Undergraduate Module Catalogue

CAPE1040 Mathematical Techniques 1

10 creditsClass Size: 240

Module manager: Dr A M Mullis
Email: a.m.mullis@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2015/16

Pre-requisite qualifications

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

Module replaces

PEME1040 Mathematical Techniques 1

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 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 two 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 website

Last updated: 15/12/2015

Disclaimer

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