Calculus & Linear Algebra II (MATH7000)
Information valid for Semester 2, 2022
Course level
Postgraduate Coursework
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Delivery mode
External
Class hours
3L1T1C (Summer 6L2T1C)
Incompatible
MATH2000 & MATH2001
Restricted
Permission from the Head of School is required to enrol in this course.
Assessment methods
Assignments and examinations.
Course enquiries
Current course offerings
Course offerings | Location | Mode | Course Profile |
Semester 2, 2024 (22/07/2024 - 18/11/2024) | St Lucia | In Person | Course Profile |
Summer Semester, 2024 (25/11/2024 - 08/02/2025) | External | External | Profile unavailable |
Summer Semester, 2024 (25/11/2024 - 08/02/2025) | St Lucia | In Person | Profile unavailable |
Semester 1, 2025 (24/02/2025 - 21/06/2025) | St Lucia | In Person | Profile unavailable |
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, diagonalization, 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.