MATH202-13S2 (C) Semester Two 2013

Differential Equations and Vector Calculus

15 points

Details:
Start Date: Monday, 8 July 2013
End Date: Sunday, 10 November 2013
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 21 July 2013
  • Without academic penalty (including no fee refund): Sunday, 6 October 2013

Description

This course deals with techniques for solving differential equations, and develops further tools for multivariable calculus, 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 the 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 communication skills, emphasizing the ability to explain what the mathematics means

Prerequisites

Restrictions

MATH262, MATH264, EMTH202, EMTH204

Course Coordinator

Mark Hickman

Assessment

Assessment Due Date Percentage 
Assignments 30%
Examination 70%

Textbooks / Resources

There is no required text for this course.

Recommended reading: Boyce and DiPrima, Elementary Di erential Equations and Boundary Value Problems, Wiley,
7th Ed or 8th Ed.

Course links

MATH202 Homepage

Indicative Fees

Domestic fee $647.00

International fee $3,325.00

* 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

  • MATH202-13S2 (C) Semester Two 2013
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