2024/25 Undergraduate Module Catalogue

SOEE1302 Advanced Mathematics 1

10 creditsClass Size: 85

Module manager: Dr Alex Rap
Email: a.rap@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2024/25

Pre-requisite qualifications

A-level Maths or equivalent.
Note: The module assumes previous knowledge of differentiation and integration. Students who have also studied Ordinary Differential Equations may be excluded from studying this module (depending on units studied and grade) and should consult the Programme and Module leaders for advice.

This module is not approved as a discovery module

Module summary

The overall aim of the module is to provide students with mathematical concepts and techniques essential for a variety of scientific disciplines. The focus is on understanding how we can use mathematics to approximate, analyse and predict different physical processes in Earth and Environmental sciences. The module is designed for students who already studied basic differentiation and integration.

Objectives

On completion of this module, students will be able to differentiate and integrate various functions, use complex numbers in different contexts, formulate and solve several types of ordinary differential equations, and use Taylor series to approximate functions.
The weekly lectures are designed to introduce mathematical concepts in a logical and structured way, while the problem sheets used in the weekly tutorials provide students with practice examples.

Learning outcomes
On successful completion of the module students will be able to:
1. differentiate and integrate functions
2. use and manipulate complex numbers
3. solve ordinary differential equations
4. formulate appropriate ordinary differential equations to model physical problems
5. use Taylor series to approximate functions

Skills Learning Outcomes
On successful completion of the module students will have demonstrated the following skills learning outcomes:
1. Problem solving and analytical skills
2. Working independently
3. Critical thinking

Syllabus

Details of the syllabus will be provided on the Minerva organisation (or equivalent) for the module.

Teaching methods

Delivery type	Number	Length hours	Student hours
Lecture	11	1.00	11.00
Tutorial	20	1.00	20.00
Private study hours			69.00
Total Contact hours			31.00
Total hours (100hr per 10 credits)			100.00

Opportunities for Formative Feedback

Weekly problem sheets are provided for each topic. Students study these as part of the learning process and receive assistance and formative feedback during the weekly tutorial sessions. Model solutions are also provided after each tutorial.

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
Assignment	Online Time-Limited Assessment	100.00
Total percentage (Assessment Coursework)		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: 04/09/2024

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