MATH202-22S2 (D) Semester Two 2022 (Distance)

# Differential Equations

15 points

Details:
 Start Date: Monday, 18 July 2022 End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 31 July 2022
• Without academic penalty (including no fee refund): Sunday, 2 October 2022

## Description

This course deals with analytical, numerical, and geometric techniques for differential equations, including applications.

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course.

Students may be required to sit invigilated tests and exams in-person in Christchurch, or with off-campus in-person invigilation, or with online invigilation, depending on the student's location.  Where online invigilation is required the student will need to ensure that they have a suitable internet connection and access to technology including a webcam, and may be required to download and install online invigilation software.   Also see Clashes and alternative arrangements

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

## Notes

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course.

## Indicative Fees

Domestic fee \$802.00

International fee \$4,563.00

* 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 .

## All MATH202 Occurrences

• MATH202-22S2 (C) Semester Two 2022
• MATH202-22S2 (D) Semester Two 2022 (Distance)