MATH202-12S2 (C) Semester Two 2012

Differential Equations and Vector Calculus

15 points

Details:
Start Date: Monday, 9 July 2012
End Date: Sunday, 11 November 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 20 July 2012
  • Without academic penalty (including no fee refund): Friday, 5 October 2012

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 and vector calculus with  interesting applications to many areas of science, commerce and engineering.

Topics covered:
Differential equations: Review of second order linear differential equations. Reduction of order. Variation of Parameters. Laplace Transforms: Initial Value Problems, Shift Theorems, step functions and impulses, convolution, resonance. Fourier Series. Introduction to Fourier Transforms.

Vector Calculus: Multiple integration, change of variables and Jacobian determinant.
Surface integrals, flux through a surface. Div, grad, curl. Stokes'
Theorem and the Divergence Theorem.

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
  • be proficient in the standard techniques of multivariate calculus: surface integrals, flux, Stokes theorem and divergence theorem
  • understand why these techniques work
  • 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 / Lecturer

Mark Hickman

Lecturer

Alex James

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 60%
Final Examination 40%

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 $622.00

International fee $3,200.00

* 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

  • MATH202-12S2 (C) Semester Two 2012
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