Science, Engineering and Technology

KMA315

2010  KMA315  Real and Complex Analysis 3

Unit Level: Advanced

Available as a Student Elective: Yes

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SPECIAL NOTE:  Students who have completed KMA182 & KMA184 and are currently undertaking KMA252 or KME271, may take this unit in the first semester of their second year, subject to approval from the Head of School.

OFFERINGS

Unit Sem 1 Sem 2 Full Yr Spring Summer Winter KMA315 H Key Semester Dates Semester Note Start Date Census Date Final WW Date* End Date Sem 1 22-FEB-2010 23-MAR-2010 12-APR-2010 28-MAY-2010 *The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see Withdrawal dates explained for more information). This unit can be taken in other courses About Census Dates

DESCRIPTION

Provides a deeper understanding of the calculus of real functions, and an introduction to the powerful methods of complex variable theory. Recommended for mathematics majors, and teachers at the upper secondary level. Introduction to real analysis. Sequences. Convergence, limits, Cauchy sequences. Compact sets. Sequences of functions, point-wise and uniform convergence. Introduction to metric spaces. The complex plane. Complex sequences, limits. Analytic functions. The Cauchy-Riemann equations. Power series. Complex integration. Cauchy`s integral theorem. Singularities and residues. The residue theorem, applications.

WEIGHT:  12.5%

ASSESSMENT: 2-hr exam (70%), mid-semester test (15%), Assignments (15%)

TEACHING PATTERN: 3x1-hr lectures, 1-hr tutorial weekly

REQUISITE INFO

Prereq

KMA252 or KME271

TEXTS
Information about any textbook requirements for Semester (Sem 1) will be available from mid November 2009

STAFF: Dr K Dharmadasa

Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.

Campus - H Hobart, L Launceston, W Burnie. Study Centre - V Sydney, R Rozelle. Distance units may also have a campus identifier of I Isolated, N Interstate, O Overseas. Units delivered in Transnational Education (TNE) Programs have a campus identifier of A Hangzhou, F Fuzhou, G Shanghai, J Indonesia, K KDU Malaysia, Q Kuwait or Z New Zealand.

Special approval is required for enrolment into TNE Program units - campuses A, F, G, J, K, Q and Z click here for more information.