COMPLEX ANALYSIS

MAT3CZ

2021

Credit points: 15

Subject outline

The subject extends calculus to the complex domain, where many beautiful new features appear. This gives a new perspective to many topics studied in previous years. The new tools covered are also very useful in applications to a wide variety of areas within mathematics, as well as in other mathematically-oriented sciences. Students will apply theoretical content knowledge and graduate capabilities in their practical classes. This subject addresses La Trobe's Innovation and Entrepreneurship Essential. Innovation and Entrepreneurship entails developing the ability to tackle problems creatively, generating new ideas, taking calculated risks and creating change to achieve ambitions - now and in the future.

SchoolEngineering and Mathematical Sciences

Credit points15

Subject Co-ordinatorPeter Van Der Kamp

Available to Study Abroad/Exchange StudentsYes

Subject year levelYear Level 3 - UG

Available as ElectiveNo

Learning ActivitiesN/A

Capstone subjectYes

Subject particulars

Subject rules

PrerequisitesMAT2VCA OR MAT2ANA

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Quota Management StrategyN/A

Quota-conditions or rulesN/A

Special conditionsN/A

Minimum credit point requirementN/A

Assumed knowledgeN/A

Career Ready

Career-focusedNo

Work-based learningNo

Self sourced or Uni sourcedN/A

Entire subject or partial subjectN/A

Total hours/days requiredN/A

Location of WBL activity (region)N/A

WBL addtional requirementsN/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

Intended Learning Outcomes

01. Differentiate and integrate functions defined on the complex plane.
02. Solve problems by exploring the distinctive features of complex functions, such as the possible existence of branches.
03. Construct complex extensions of the familiar rational, logarithm, exponential and trigonometric functions.
04. Calculate Taylor and Laurent series for complex analytic functions and classify singularities.
05. Apply a range of techniques for the calculation and inversion of Fourier transforms and apply the theory of Fourier transforms in the solving of differential equations

Subject options

Select to view your study options…

Start date between: and    Key dates

Bendigo, 2021, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorMumtaz Hussain

Class requirements

Computer LaboratoryWeek: 12 - 18
One 1.00 h computer laboratory per week on weekdays during the day from week 12 to week 18 and delivered via face-to-face.
To work on the project

LectureWeek: 10 - 22
Two 1.00 h lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
One 1.00 h practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
Four mathematical assignments (1250 word equiv total) These assignments are problem-based and show consolidation of mathematical skills.N/AN/AN/ANo25 SILO1, SILO2, SILO3, SILO4, SILO5
One 2 hour written exam (2000 words equivalent)N/AN/AN/ANo50 SILO1, SILO2, SILO3, SILO4, SILO5
One group project (3600 word equiv for group of four students, 900 words per student) Students hand in a 3D-constructed model of Riemann surface with a written explanation. Students are to comment on the engagement of their group members. Individual marks may depend on their engagement.N/AN/AN/ANo25 SILO2, SILO3

Melbourne (Bundoora), 2021, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorPeter Van Der Kamp

Class requirements

Computer LaboratoryWeek: 12 - 18
One 1.00 h computer laboratory per week on weekdays during the day from week 12 to week 18 and delivered via face-to-face.
To work on the project

LectureWeek: 10 - 22
Two 1.00 h lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
One 1.00 h practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
Four mathematical assignments (1250 word equiv total) These assignments are problem-based and show consolidation of mathematical skills.N/AN/AN/ANo25 SILO1, SILO2, SILO3, SILO4, SILO5
One 2 hour written exam (2000 words equivalent)N/AN/AN/ANo50 SILO1, SILO2, SILO3, SILO4, SILO5
One group project (3600 word equiv for group of four students, 900 words per student) Students hand in a 3D-constructed model of Riemann surface with a written explanation. Students are to comment on the engagement of their group members. Individual marks may depend on their engagement.N/AN/AN/ANo25 SILO2, SILO3