 MATH202-17S2 (C) Semester Two 2017

# Differential Equations

 15 points17 Jul 2017 - 19 Nov 2017

## Description

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 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.

## Learning Outcomes

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

## Restrictions

MATH262, MATH264, EMTH202, EMTH204

## Assessment

Assessment Due Date Percentage
Homework problems 10%
Written assignments (x2) 40%
Final examination 50%

## Textbooks

Zill, Dennis; Differential equations with boundary value problems, 8e, international metric edition; 8th edition; Brooks Cole, 2016.

## Indicative Fees

Domestic fee \$735.00

International fee \$3,525.00

* 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.

## All MATH202 Occurrences

• MATH202-17S2 (C) Semester Two 2017