Asymptotic and Perturbation Methods - CIM2205

Assessment 1: Written practice exercise

Feedback to students will be given in tutorials, in-class tasks and practical sessions. Graded exercises will be set and model answers and solutions to problems will be provided.

Written practice exercise

Assessment 2: Exam

Unseen, closed book end of module examination.

Exam

Assessment 1: Written Assignment

A written report demonstrating the ability to solve a range of problems involving asymptotic expansions by selecting an appropriate method and working through the steps of the solution.

Written Assignment

<p>By now you will have learned that exactly solvable systems of equations are the exception rather than the norm. While the numerical methods you have been taught provide a powerful set of tools for tackling these systems, there are many cases where an approximate analytic solution is more valuable than an accurate numerical calculation. Asymptotic methods allow you to make analytic progress by exploiting the smallness of some parameter. The module covers both the theory of asymptotic and perturbation methods and also their practical applications in mathematical modelling of real-world problems.</p>

School of Computing and Engineering

<p>https://library.hud.ac.uk/readinglists/CIM2205</p>

Computing and Information Systems

CIM2205 - Asymptotic and Perturbation Methods

Asymptotic and Perturbation Methods

Understand asymptotic notation and its interpretations.

Appraise the difference between a singular and regular perturbation.

Solve problems with singular perturbations by selecting and executing appropriate techniques.

Formulate and nondimensionalise mathematical models of real-world systems. Find asymptotic solutions to the resulting equations.

Evaluate integrals using asymptotic methods.

Examine established methods for addressing mathematical problems that cannot be solved exactly but which can be addressed by asymptotic methods.

Solve algebraic equations using asymptotic methods.