Advanced Calculus & Linear Algebra II (MATH2001)
Information valid for Semester 1, 2020
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Delivery mode
Internal
Class hours
3L1T1C (Summer 6L1T1C)
Incompatible
MATH2000 and MATH7000
Prerequisite
(MATH1051 or MATH1071) and (MATH1052 or MATH1072)
Assessment methods
Assignments and examinations
Course enquiries
Study Abroad
This course is pre-approved for Study Abroad and Exchange students.
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) | St Lucia | In Person | Profile unavailable |
Summer Semester, 2024 (25/11/2024 - 08/02/2025) | External | External | 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.