Students > Your course > Subject search > Past Year Subject Details

COMPLEX ANALYSIS

MAT3CZ

2020

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.

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Peter Van Der Kamp

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 3 - UG

Available as Elective: No

Learning Activities: N/A

Capstone subject: Yes

Subject particulars

Subject rules

Prerequisites: MAT2VCA OR MAT2ANA

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: N/A

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Learning resources

Subject text Complex Analysis available on LMS

Resource Type: Book

Resource Requirement: Prereading

Author: N/A

Year: N/A

Edition/Volume: N/A

Publisher: N/A

ISBN: N/A

Chapter/article title: N/A

Chapter/issue: N/A

URL: N/A

Other description: N/A

Source location: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

COMMUNICATION - Communicating and Influencing
COMMUNICATION - Cultural Intelligence and Global Perspective
DISCIPLINE KNOWLEDGE AND SKILLS
INQUIRY AND ANALYSIS - Creativity and Innovation
INQUIRY AND ANALYSIS - Critical Thinking and Problem Solving
INQUIRY AND ANALYSIS - Research and Evidence-Based Inquiry
PERSONAL AND PROFESSIONAL - Adaptability and Self-Management
PERSONAL AND PROFESSIONAL - Ethical and Social Responsibility
PERSONAL AND PROFESSIONAL - Leadership and Teamwork

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

Bendigo, 2020, Semester 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Mumtaz Hussain

Class requirements

Computer LaboratoryWeek: 12 - 18
One 1.00 hour 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 hour 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 hour 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/ANo25SILO1, SILO2, SILO3, SILO4, SILO5

One 2 hour written exam (2000 words equivalent)

N/AN/AN/ANo50SILO1, 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/ANo25SILO2, SILO3

Melbourne (Bundoora), 2020, Semester 1, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Subject Instance Co-ordinator: Peter Van Der Kamp

Class requirements

Computer LaboratoryWeek: 12 - 18
One 1.00 hour 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 hour 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 hour 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/ANo25SILO1, SILO2, SILO3, SILO4, SILO5

One 2 hour written exam (2000 words equivalent)

N/AN/AN/ANo50SILO1, 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/ANo25SILO2, SILO3