MATH202-20S2 (C) Semester Two 2020

Differential Equations

15 points

Details:
Start Date: Monday, 13 July 2020
End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2020
  • Without academic penalty (including no fee refund): Friday, 25 September 2020

Description

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.

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.

Pre-requisites

Restrictions

MATH262, MATH264, EMTH202, EMTH204

Timetable 2020

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 09:00 - 10:00 A3 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture B
Activity Day Time Location Weeks
01 Wednesday 16:00 - 17:00 E5 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture C
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 A2 Lecture Theatre
13 Jul - 23 Aug
7 Sep - 18 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 08:00 - 09:00 Jack Erskine 035 Lab 2 13 Jul - 23 Aug
7 Sep - 18 Oct
02 Thursday 16:00 - 17:00 Jack Erskine 505 13 Jul - 23 Aug
7 Sep - 18 Oct
03 Friday 16:00 - 17:00 Jack Erskine 038 Lab 4 13 Jul - 23 Aug
7 Sep - 18 Oct
04 Thursday 16:00 - 17:00 Jack Erskine 033 Lab 1 13 Jul - 23 Aug
7 Sep - 18 Oct
05 Thursday 13:00 - 14:00 Jack Erskine 442 13 Jul - 23 Aug
7 Sep - 18 Oct
06 Friday 13:00 - 14:00 Jack Erskine 033 Lab 1 13 Jul - 23 Aug
7 Sep - 18 Oct

Course Coordinator / Lecturer

Mark Hickman

Lecturer

Rachael Tappenden

Indicative Fees

Domestic fee $780.00

International fee $4,250.00

* 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

  • MATH202-20S2 (C) Semester Two 2020