Year
2021
Units
4.5
Contact
1 x 120-minute lecture-1 weekly
1 x 60-minute lecture-2 weekly
1 x 50-minute tutorial weekly
Prerequisites
1 MATH1121 - Mathematics 1A
2 MATH1122 - Mathematics 1B
Must Satisfy: (1 and 2)
Enrolment not permitted
1 of ENGR2711, ENGR8761 has been successfully completed
Topic description

This topic includes: Vectors and the geometry of Space, dot and cross product, equations of lines and planes; Vector Functions, derivatives and integrals of vector functions, velocity and acceleration in space; Partial Derivatives, tangent planes and approximation, chain rule, directional derivatives, maximum and minimum values, Lagrange multipliers; Multiple Integrals, double and triple Integrals, change of variable; Vector Calculus, line integrals, Green's theorem, Curl and Divergence, surface integrals, Stokes and The Divergence theorem.

Educational aims

This topic aims to equip the students with the skills needed to solve mathematical problems in the calculus of several variables,. These provide the mathematical pre-requisites that the student needs for the second and higher year Mathematics topics. The focus is on the application of the mathematical ideas to practical problems.

Expected learning outcomes
On completion of this topic you will be expected to be able to:

  1. Understand the principles of Multivariate Calculus
  2. Apply Multivariate Calculus to practical problems

Key dates and timetable

(1), (2)

Each class is numbered in brackets.
Where more than one class is offered, students normally attend only one.

Classes are held weekly unless otherwise indicated.

FULL

If you are enrolled for this topic, but all classes for one of the activities (eg tutorials) are full,
contact your College Office for assistance. Full classes frequently occur near the start of semester.

Students may still enrol in topics with full classes as more places will be made available as needed.

If this padlock appears next to an activity name (eg Lecture), then class registration is closed for this activity.

Class registration normally closes at the end of week 2 of each semester.

Classes in a stream are grouped so that the same students attend all classes in that stream.
Registration in the stream will result in registration in all classes.
  Unless otherwise advised, classes are not held during semester breaks or on public holidays.