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Faculty Handbook 2022-2023

# Module Description

Please ensure you check the module availability box for each module outline, as not all modules will run each academic year.

## Department: Earth Sciences

### GEOL1081: Further Mathematics for Geoscientists

Type Level Credits Availability Module Cap Tied 1 20 Available in 2022/23 Durham
Tied to F600 Geology F630 Environmental Geosciences F643 Geoscience F644 Earth Sciences F645 Climate Science F662 Geophysics with Geology CFG0 Natural Sciences FGC0 Natural Sciences F800 Geography

#### Prerequisites

• Mathematics A level at grade B or above, or a comparable qualification in Mathematics.

• None.

#### Excluded Combination of Modules

• NOT available to students who are taking any Level 1 module in Mathematics.

#### Aims

• To ensure that Level 1 students on degree programmes in Earth Sciences, and especially Geophysics, have an adequate background in mathematics and can apply their mathematical knowledge to the solution of problems in geosciences.

#### Content

• Differential and integral calculus;
• Linear differential equations of first and second order;
• Elementary partial differential equations;
• Vector products;
• Line, surface and volume integrals;
• Spherical polar coordinates;
• Taylor's series and Maclaurin's series;
• Fourier series;
• Matrices.

#### Learning Outcomes

Subject-specific Knowledge:
• Students should acquire ability in the basic mathematical techniques required for to tackle applications of mathematics taught on degree programmes in Earth Sciences at Levels 2 and 3.
Subject-specific Skills:
• These applications involve differention and integration, solution of differential equations, manipulation of vectors, transformation between Cartesian and spherical polar coordinates, solution of simultaneous equations, and spectral analysis.
Key Skills:
• Solve numerical problems using computer or non-computer techniques.

#### Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

• The module is delivered through lectures .
• Summative assessment is 100% based on a 2-hour written examination.

#### Teaching Methods and Learning Hours

 Activity Number Frequency Duration Total/Hours Lectures/labs 20 1 per week 3 hour 60 ■ Preparation and Reading 140 Total 200

#### Summative Assessment

Component: Examination Component Weighting: 100%
Element Length / duration Element Weighting Resit Opportunity
Unseen written examination 2 hours 100%

#### Formative Assessment:

Class tests.

Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University