units

MTH3020

Faculty of Science

Monash University

Undergraduate - Unit

This unit entry is for students who completed this unit in 2012 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

print version

6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

LevelUndergraduate
FacultyFaculty of Science
OfferedClayton Second semester 2012 (Day)
Coordinator(s)Dr Todd Oliynyk

Synopsis

Complex numbers and functions; domains and curves in the complex plane; differentiation; integration; Cauchy's integral theorem and its consequences; Taylor and Laurent series; Laplace and Fourier transforms; complex inversion formula; branch points and branch cuts; applications to initial value problems.

Outcomes

On completion of this unit, students will be able to: sketch the evolution of the solutions of the system on a phase-plane diagram; appreciate some applications of phase-plane analysis; be familiar with the basic properties of complex numbers and functions; have developed skills in the evaluation of line integrals; understand Cauchy's integral theorem and its consequences; be able to determine and work with Laurent and Taylor series; understand the method of Laplace transforms and be able to evaluate the inverse transform; appreciate the importance of complex analysis for other mathematical units, as well as for physics and engineering, through seeing applications of the theory; have developed skills in using a computer algebra package.

Assessment

Examination (3 hours): 50%
Assignments and tests: 40%
Laboratory work: 10%

Chief examiner(s)

Dr Todd Oliynyk

Contact hours

Three 1-hour lectures and an average of one 1-hour computer laboratory and one 1-hour support class per week

Prerequisites

MTH2010, MTH2015 or MTH2111, or equivalent

Prohibitions

ENG2092