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This course deals with analytical, numerical, and geometric techniques for differential equations, including applications.
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 linear and nonlinear first order differential equations, including phase plane techniques. 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 able to use standard techniques to solve linear differential equations: variation of parameters, Laplace transforms, convolutions and Fourier series demonstrate understanding of why these techniques work and when they will not be able to make an appropriate choice of analytical, geometric or numerical algorithm for a given problem be able to use these techniques in a variety of modelling applications, using appropriate software have developed problem solving skills both as part of a team and as an individual have developed written and oral communcation skills, emphasizing the ability to explain what the mathematics means
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
MATH103 or MATH199 or EMTH119
MATH262, MATH264, EMTH202, EMTH204
Students must attend one activity from each section.
Differential equations with boundary value problems, 8e, international metric edition;
Brooks Cole, 2016.
General information for students
Domestic fee $749.00
International fee $3,788.00
* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.
For further information see
Mathematics and Statistics.