MATH202-18S2 (C) Semester Two 2018

Differential Equations

15 points, 0.1250 EFTS
16 Jul 2018 - 18 Nov 2018

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
    • University Graduate Attributes

      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.

Pre-requisites

Restrictions

MATH262, MATH264, EMTH202, EMTH204

Timetable 2018

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 12:00 - 13:00 A6 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Lecture B
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 A3 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 15:00 - 16:00 Jack Erskine 031 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 14:00 - 15:00 Jack Erskine 442 16 Jul - 26 Aug
10 Sep - 21 Oct
02 Friday 08:00 - 09:00 Jack Erskine 442 16 Jul - 26 Aug
10 Sep - 21 Oct
03 Thursday 17:00 - 18:00 Jack Erskine 442 16 Jul - 26 Aug
10 Sep - 21 Oct
04 Thursday 15:00 - 16:00 Jack Erskine 442 16 Jul - 26 Aug
10 Sep - 21 Oct

Course Coordinator / Lecturer

Rua Murray

Textbooks

Recommended Reading

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

Indicative Fees

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.

All MATH202 Occurrences

  • MATH202-18S2 (C) Semester Two 2018