University Course Planner The University of Adelaide Australia

MATHS 7101 - Multivariable & Complex Calculus

Career: Postgraduate Coursework
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: PURE MTH 2005, MATHS 2202
Assessment: ongoing assessment 30%, exam 70%
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

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Study Abroad student tuition fees available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information

  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,148 Band 2 $1,148 select program select program


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
Semester 1 Mon 12/03/2018 Sat 31/03/2018 Fri 04/05/2018 Fri 08/06/2018


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
12598 LE01 10 10 27 Feb - 27 Mar Tuesday 11am - 12pm Mawson, G19, Mawson Lecture Theatre
28 Feb - 28 Mar Wednesday 11am - 12pm Darling West, G14, Darling West Lecture Theatre
2 Mar - 30 Mar Friday 1pm - 2pm Napier, G04, Lecture Theatre
17 Apr - 5 Jun Tuesday 11am - 12pm Mawson, G19, Mawson Lecture Theatre
18 Apr - 6 Jun Wednesday 11am - 12pm Darling West, G14, Darling West Lecture Theatre
20 Apr - 8 Jun Friday 1pm - 2pm Napier, G04, Lecture Theatre
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
12599 TU01 10 10 28 Feb - 28 Feb Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
14 Mar - 14 Mar Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
28 Mar - 28 Mar Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
25 Apr - 25 Apr Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
9 May - 9 May Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
23 May - 23 May Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
6 Jun - 6 Jun Wednesday 1pm - 2pm Engineering & Mathematics, EM218, Teaching Room
14363 TU02 10 10 2 Mar - 2 Mar Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
16 Mar - 16 Mar Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
30 Mar - 30 Mar Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
27 Apr - 27 Apr Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
11 May - 11 May Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
25 May - 25 May Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room
8 Jun - 8 Jun Friday 11am - 12pm Engineering & Mathematics, EMG07, Teaching Room