University Course Planner The University of Adelaide Australia

MATHS 2101 - Multivariable & Complex Calculus II

Career: Undergraduate
Units: 3
Term: 3810
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, 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

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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 $1,169 Band 2 $1,169 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
3810 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
12594 LE01 140 23 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
12242 TU05 27 9 2 Mar - 2 Mar Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
16 Mar - 16 Mar Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
30 Mar - 30 Mar Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
27 Apr - 27 Apr Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
11 May - 11 May Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
25 May - 25 May Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
8 Jun - 8 Jun Friday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
12595 TU01 17 1 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
12596 TU02 17 FULL 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
12597 TU03 27 1 2 Mar - 2 Mar Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
16 Mar - 16 Mar Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
30 Mar - 30 Mar Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
27 Apr - 27 Apr Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
11 May - 11 May Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
25 May - 25 May Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
8 Jun - 8 Jun Friday 12pm - 1pm Engineering & Mathematics, EMG07, Teaching Room
14609 TU04 27 5 1 Mar - 1 Mar Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
15 Mar - 15 Mar Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
29 Mar - 29 Mar Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
26 Apr - 26 Apr Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
10 May - 10 May Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
24 May - 24 May Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
7 Jun - 7 Jun Thursday 9am - 10am Engineering & Mathematics, EM218, Teaching Room
15206 TU06 27 9 1 Mar - 1 Mar Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
15 Mar - 15 Mar Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
29 Mar - 29 Mar Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
26 Apr - 26 Apr Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
10 May - 10 May Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
24 May - 24 May Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room
7 Jun - 7 Jun Thursday 10am - 11am Engineering & Mathematics, EM218, Teaching Room