Advanced Calculus and Linear Algebra II (MATH2001)
Information valid for Summer Semester, 2016
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 and MATH1052
Assessment methods
Assignments, Mid-semester examination and Final examination
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.