Calculus & Linear Algebra II (MATH2001)
Information valid for Semester 2, 2025
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Practical 1 Hour/ Week
Summer Semester only: 6L2P
Incompatible
MATH2000, MATH2901 (advanced) and MATH7000 (co-taught).
Prerequisite
(MATH1051 or MATH1071) and (MATH1052 or MATH1072)
Assessment methods
Assignments and examinations
Course enquiries
Doctor Gabriele Tartaglino Mazzucchelli (Summer Semester, Regular, St Lucia, In person)
Doctor Phillip Isaac (Semester 1, Regular, St Lucia, In person)
Associate Professor Yao-zhong Zhang (Semester 2, 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) | St Lucia | In Person | Course Profile |
| Summer Semester, 2024 (25/11/2024 - 08/02/2025) | External | External | 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.
