This subject extends the study of calculus to functions of several variables. Partial derivatives are reviewed and double and triple integrals introduced. The subject also covers vector calculus, which includes differential operators (gradient, divergence and curl) and line and surface integrals. Vector calculus culminates in higher dimensional versions of the Fundamental Theorem of Calculus: Green's Theorem, Stokes' Theorem and the Divergence Theorem.

Session 1 (30)

Online

Orange Campus

HD/FL

One session

School of Computing and Mathematics

MTH102

- be able to classify and graph conics and simple quadric surfaces;
- be able to calculate and graph level curves and surfaces;
- be able to calculate partial derivatives, directional derivatives, the gradient, tangent planes and differentials;
- be able to calculate double and triple integrals;
- be able to calculate line integrals and recognise a conservative field;
- be able to calculate divergence and curl of a vector field;
- be able to calculate surface integrals;
- be able to understand and use Green's Theorem, Stokes' Theorem and the Divergence Theorem.

- Conics and quadric surfaces.
- Functions of several variables.
- Partial derivatives, directional derivatives, gradient, linear approximation.
- Double and triple integrals.
- Vector fields.
- Line integrals, fundamental theorem.
- Divergence and Curl.
- Green's Theorem.
- Surface integral and flux of a vector field.
- Stokes' Theorem.
- Divergence Theorem.

The following table summarises the assessment tasks for the online offering of MTH218 in Session 1 2020. Please note this is a guide only. Assessment tasks are regularly updated and can also differ to suit the mode of study (online or on campus).

1

Curves, surfaces and partial differentiation

10

2

Multiple integrals

10

3

Vector calculus

8

4

Flux integrals (online)

2

5

Final exam

70

*The information contained in the CSU Handbook was accurate at the date of publication: May 2021. The University reserves the right to vary the information at any time without notice.*