Units / MTH2010
MTH2010 · Multivariable calculus
2025 Handbook6 credit pointsLevel 2School of Mathematics
Overview
Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes.
Areas of study: Applied mathematics Astrophysics Climate and atmospheric science Financial and insurance mathematics Mathematical statistics Mathematics Physics Pure mathematics
Offerings
| Campus | Teaching period | Mode |
|---|---|---|
| Clayton | First semester | Teaching activities are on-campus (ON-CAMPUS) |
| Clayton | Second semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | 1 - Continuous assessment | Demonstration | 50% | — |
| 2 | 2 - Final assessment - Exam (3 hours and 10 minutes) | Examination | 50% | — |
Requisites
prohibition
Learning outcomes
- Apply multivariable calculus to problems in the mathematical and physical sciences;
- Find and classify the extrema of functions of several variables;
- Compute line, surface and volume integrals in Cartesian, cylindrical and spherical polar coordinates;
- Apply the integral theorems of Green, Gauss and Stokes;
- Present a mathematical argument in written form.
Workload
• Three 1-hour seminars; • One 2-hour applied class (in weeks 2-12) and • 7 hours of independent study per week.
| Activity | Duration |
|---|---|
| Seminars | 36 hours |
| Applied sessions | 22 hours |
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