MATH202-22S2 (C) Semester Two 2022

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 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.

Prerequisites

Restrictions

MATH262, MATH264, EMTH202, EMTH204

Timetable 2022

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 09:00 - 10:00 Rehua 005
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 16:00 - 17:00 Rehua 009
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 16:00 - 17:00 Rehua 005
18 Jul - 28 Aug
12 Sep - 23 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 11:00 - 12:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
02 Thursday 13:00 - 14:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
03 Thursday 14:00 - 15:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
04 Thursday 16:00 - 17:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
05 Friday 09:00 - 10:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
06 Friday 10:00 - 11:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct
07 Friday 13:00 - 14:00 Jack Erskine 442 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct

Course Coordinator / Lecturer

Chris Zane Stevens

Lecturer

Miguel Moyers Gonzalez

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)