MATH202-19S2 (C) Semester Two 2019

Differential Equations

15 points
15 Jul 2019 - 10 Nov 2019

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 2019

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 16:00 - 17:00 A3 Lecture Theatre 15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Monday 10:00 - 11:00 A3 Lecture Theatre 15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 15:00 - 16:00 Meremere 108 Lecture Theatre 15 Jul - 25 Aug
9 Sep - 20 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 09:00 - 10:00 Jack Erskine 442 15 Jul - 25 Aug
9 Sep - 20 Oct
02 Thursday 11:00 - 12:00 Jack Erskine 035 Lab 2 15 Jul - 25 Aug
9 Sep - 20 Oct
03 Thursday 16:00 - 17:00 Jack Erskine 442 15 Jul - 25 Aug
9 Sep - 20 Oct
04 Friday 10:00 - 11:00 Jack Erskine 038 Lab 4 15 Jul - 25 Aug
9 Sep - 20 Oct
05 Friday 11:00 - 12:00 Jack Erskine 442 15 Jul - 25 Aug
9 Sep - 20 Oct

Course Coordinator / Lecturer

Miguel Moyers Gonzalez

Lecturer

Rachael Tappenden

Textbooks / Resources

Recommended Reading

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

Indicative Fees

Domestic fee $764.00

International fee $4,000.00

* 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

  • MATH202-19S2 (C) Semester Two 2019