MATH202-15S2 (C) Semester Two 2015

Differential Equations

15 points

Details:
Start Date: Monday, 13 July 2015
End Date: Sunday, 15 November 2015
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2015
  • Without academic penalty (including no fee refund): Friday, 9 October 2015

Description

This course deals with techniques for solving differential equations building on the material in MATH201.

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 first order differential equations. 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 proficient in the standard techniques of differential equations: Laplace transforms,
  • convolutions and Fourier series
  • understand why these techniques work
  • be able to make an appropriate choice of numerical algorithm for a given problem
  • be able to use these techniques in a variety of 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

Course Coordinator / Lecturer

Mark Hickman

Assessment

Assessment Due Date Percentage 
Assignments 40%
Final Examination 60%


In order to pass this course you must both pass the course as a whole (≥50%) and obtain a mark of at least 40% in the examination.

Indicative Fees

Domestic fee $699.00

International fee $3,450.00

* 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

  • MATH202-15S2 (C) Semester Two 2015
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