University Course Planner The University of Adelaide Australia

MATHS 2101 - Multivariable & Complex Calculus II

Career: Undergraduate
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

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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
Postgraduate Coursework
Non Award

Program of Study

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

Units
EFTSL
Amount
3
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
Semester 1 Tue 15/03/2022 Thu 24/03/2022 Fri 06/05/2022 Fri 10/06/2022


Class Details

Enrolment Class: Workshop
Class Nbr Section Size Available Dates Days Time Location
11450 WR01 190 37 4 Mar - 8 Apr Friday 11am - 12pm Ligertwood, 333, Lecture Theatre
29 Apr - 3 Jun Friday 11am - 12pm Ligertwood, 333, Lecture Theatre
Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled.
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
11454 TU05 55 41 1 Mar - 5 Apr Tuesday 4pm - 5pm MyUni, OL, Online Class
26 Apr - 31 May Tuesday 4pm - 5pm MyUni, OL, Online Class
Note: This class is for offshore/interstate students only. Please refer to MyUni for details once enrolled.
15381 TU04 55 36 28 Feb - 4 Apr Monday 4pm - 5pm Barr Smith South, 2032, Teaching Room
25 Apr - 30 May Monday 4pm - 5pm Barr Smith South, 2032, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
15382 TU03 55 2 4 Mar - 8 Apr Friday 9am - 10am Ingkarni Wardli, B18, Teaching Room
29 Apr - 3 Jun Friday 9am - 10am Ingkarni Wardli, B18, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
15383 TU02 55 24 2 Mar - 6 Apr Wednesday 10am - 11am Barr Smith South, 2060, Teaching Room
27 Apr - 1 Jun Wednesday 10am - 11am Barr Smith South, 2060, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
15384 TU01 55 19 2 Mar - 6 Apr Wednesday 9am - 10am Barr Smith South, 2060, Teaching Room
27 Apr - 1 Jun Wednesday 9am - 10am Barr Smith South, 2060, Teaching Room
Note: This class is only available for face-to-face (on-campus) students.
Related Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
19381 LEC0 190 37 This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details.