This module builds on MAST4014 Calculus and Differential Equations. We will cover advanced methods for solving ordinary differential equations and introduce, and learn to solve, partial differential equations. We will explore the properties of these differential equations and discuss the physical interpretation of certain equations and their solutions.
Introduction to ODEs: review of ordinary differentiation; what is an ODE; qualitative methods for ODEs; stationary points and stability.
Series methods for ODEs: solution methods for Cauchy-Euler equations; properties of power series; the Frobenius method.
Introduction to linear PDEs.
Contact hours: 42
Private study: 108
Total: 150
Assessment 1 (10 to 15 hours) 10%
Assessment 2 (10-15 hours) 10%
Examination (2 hours) 80%
Reassessment methods:
Like-for-like
The most up to date reading list for each module can be found on the university's reading list pages.
The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
8.1 demonstrate knowledge and critical understanding of the well-established principles within ordinary and linear partial differential equations (ODEs and PDEs);
8.2 demonstrate the capability to use a range of established techniques and a reasonable level of skill in calculation and manipulation of the material to solve problems in ordinary and partial differential equations;
8.3 apply the concepts and principles in basic linear PDE methods in well-defined contexts beyond those in which they were first studied, showing the ability to evaluate critically the appropriateness of different tools and techniques.
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