The University of Southampton

SOES2028 Further Mathematics for Oceanography

Module Overview

Aims and Objectives

Module Aims

• to help you become confident in identifying and applying the appropriate mathematical tools for problems that you will encounter in 2nd and 3rd year modules, and after graduation. • to introduce specific mathematical problems from ocean and earth science, and the more advanced techniques needed to solve them

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

  • Solve mathematical problems using techniques in the following areas: Algebra Scalings, approximations & estimation of physical quantities Exponential & logarithmic functions Statistics Propagation of errors Differentiation & integration Vector algebra & vector calculus Complex numbers & waves Ordinary differential equations
  • Apply techniques to a range of problems in ocean and earth science.
  • Identify the technique(s) that will help you solve descriptively presented problems in ocean and Earth science.
  • Confidence in using a wide range of mathematical techniques.
  • An understanding of the relevance of these techniques to ocean and earth science.
  • The ability to apply quantitative methods to problems that have been presented descriptively.


The ability to apply a range of mathematical concepts to real world problems is essential in all disciplines within ocean and Earth science. Details are on the Aims and Objectives tab.

Learning and Teaching

Teaching and learning methods

Tutorials (2 hours x 22): These will consist of a short introductory lecture, followed by practical exercises. Additional material may be introduced as the tutorial progresses. A wide range of support can be provided for those students who have further or specific learning and teaching needs.

Independent Study104
Total study time150


Assessment Strategy

Assessment Method In class tests x5 (40%): Concentrating principally on topics of recent tutorials. Each is completed as a ½-hour test. Tests all learning outcomes. Course exam (60%): At end of course. Tests all learning outcomes. Additional support can be provided for those students who have further or specific needs.


MethodPercentage contribution
Class Test 20%
Class Test 20%
Examination 60%

Linked modules

Pre-requisites: SOES1010 or MATH1004

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