MATHS 2101 - Multivariable & Complex Calculus II
Career: | Undergraduate |
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Units: | 3 |
Term: | Semester 1 |
Campus: | North Terrace |
Contact: | Up to 3.5 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | Yes |
Pre-Requisite: | MATHS 1012 |
Incompatible: | MATHS 2202, ELEC ENG 2106 |
Assessment: | Ongoing assessment, exam |
Syllabus: |
The mathematics required to describe most "real life" systems involves functions of more than one variable, so the differential and integral calculus developed in a first course in Calculus must be extended to functions of more variables. In this course, the key results of one-variable calculus are extended to higher dimensions: differentiation, integration, and the link between them provided by the Fundamental Theorem of Calculus are all generalised. The machinery developed can be applied to another generalisation of one-variable Calculus, namely to complex calculus, and the course also provides an introduction to this subject. The material covered in this course forms the basis for mathematical analysis and application across an extremely broad range of areas, essential for anyone studying the hard sciences, engineering, or mathematical economics/finance. Topics covered are: introduction to multivariable calculus; differentiation of scalar- and vector-valued functions; higher-order derivatives, extrema, Lagrange multipliers and the implicit function theorem; integration over regions, volumes, paths and surfaces; Green's, Stokes' and Gauss's theorems; differential forms; curvilinear coordinates; an introduction to complex numbers and functions; complex differentiation; complex integration and Cauchy's theorems; and conformal mappings. |
Course Fees
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
Course Outline
A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
Critical Dates
Term | Last Day to Add Online | Census Date | Last Day to WNF | Last Day to WF |
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Semester 1 | Tue 12/03/2024 | Thu 21/03/2024 | Fri 03/05/2024 | Fri 07/06/2024 |
Class Details
Enrolment Class: Seminar | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
13501 | SE01 | 190 | 32 | 27 Feb - 2 Apr | Tuesday | 9am - 10am | Engineering Nth, N158, Chapman Lecture Theatre |
23 Apr - 28 May | Tuesday | 9am - 10am | Engineering Nth, N158, Chapman Lecture Theatre | ||||
Related Class: Workshop | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
13502 | WR04 | 40 | 4 | 26 Feb - 1 Apr | Monday | 11am - 12pm | Engineering & Mathematics, EMG07, Teaching Room |
22 Apr - 27 May | Monday | 11am - 12pm | Engineering & Mathematics, EMG07, Teaching Room | ||||
13503 | WR03 | 40 | 9 | 29 Feb - 4 Apr | Thursday | 9am - 10am | Lower Napier, LG24, Teaching Room |
25 Apr - 30 May | Thursday | 9am - 10am | Lower Napier, LG24, Teaching Room | ||||
13504 | WR02 | 40 | FULL | 1 Mar - 5 Apr | Friday | 12pm - 1pm | Schulz, 218, Teaching Room |
26 Apr - 31 May | Friday | 12pm - 1pm | Schulz, 218, Teaching Room | ||||
13505 | WR01 | 40 | 13 | 27 Feb - 2 Apr | Tuesday | 4pm - 5pm | Engineering & Mathematics, EM105, Teaching Room |
23 Apr - 28 May | Tuesday | 4pm - 5pm | Engineering & Mathematics, EM105, Teaching Room | ||||
13506 | WR05 | 40 | 16 | 1 Mar - 5 Apr | Friday | 10am - 11am | Schulz, 218, Teaching Room |
26 Apr - 31 May | Friday | 10am - 11am | Schulz, 218, Teaching Room |