Calculus & Linear Algebra II (MATH7000)
Information valid for Summer Semester, 2024
Course level
Postgraduate Coursework
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
External
Class hours
Lecture 3 Hours/ Week
Practical 1 Hour/ Week
Summer Semester only: 6L2P
Incompatible
MATH2000, MATH2001 (co-taught)
Assessment methods
Assignments and examinations.
Course enquiries
Doctor Gabriele Tartaglino Mazzucchelli (Summer Semester, Regular, St Lucia, In person)
Associate Professor Yao-zhong Zhang (), (Semester 2, Regular, St Lucia, In person)
Doctor Phillip Isaac (Semester 1, Regular, St Lucia, In person)
Sem 1 - Dr Phil Isaac
Sem 2 - Assoc Prof Yao-Zhong Zhang
Summer Semester - Dr Gabriele Tartaglino Mazzucchelli
Current course offerings
| Course offerings | Location | Mode | Course Profile |
| Summer Semester, 2024 (25/11/2024 - 08/02/2025) | External | External | Course Profile |
| Summer Semester, 2024 (25/11/2024 - 08/02/2025) | St Lucia | In Person | Course Profile |
| Semester 1, 2025 (24/02/2025 - 21/06/2025) | St Lucia | In Person | Course Profile |
| Semester 2, 2025 (28/07/2025 - 22/11/2025) | St Lucia | In Person | Profile unavailable |
Please Note: Course profiles marked as not available may still be in development.
Course description
Second order differential equations; undetermined coefficients, variation of parameters. Multi-dimensional calculus; surface & volume integrals, cylindrical, spherical and general coordinate transformations. Stoke's & Green's theorems, applications (flux, heat equations). Linear algebra, diagonalisation, quadratic forms, elementary numerical linear algebra. Taylor series, maxima, minima and saddle points in N-dimensions. Method of least squares for functions. Vector spaces, norms and inner products (for square-integrable functions). Gram-Schmidt orthogonalisation and orthogonal matrices.
