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This course deals with techniques for solving differential equations building on the material in MATH201.
This course is a core part of 200 level maths (along with MATH201 and MATH203) and is strongly recommended to anyone who is considering majoring in mathematics or another subject that involves a high level of numeracy. It covers more advanced techniques in differential equations with interesting applications to many areas of science, commerce and engineering.Topics covered:Differential equations: Reduction of order. Variation of Parameters.Systems of first order differential equations. Introduction to numerical methods. Stiff systems. Laplace Transforms: Initial Value Problems, Shift Theorems, step functions and impulses, convolution, resonance. Fourier Series. Introduction to Fourier Transforms
At the end of this course, students will:be proficient in the standard techniques of differential equations: Laplace transforms, convolutions and Fourier seriesunderstand why these techniques workbe able to make an appropriate choice of numerical algorithm for a given problembe able to use these techniques in a variety of applications, using appropriate softwarehave developed problem solving skills both as part of a team and as an individualhave developed written and oral communcation skills, emphasizing the ability to explain what the mathematics means
MATH201 or EMTH210
MATH262, MATH264, EMTH202, EMTH204
Mark Hickman
MATH202 Homepage General information for students Library portal LEARN
Domestic fee $672.00
International fee $3,388.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .