MA3201 - Numerical Methods
| Credit points: | 03 |
| Year: | 2018 |
| Student Contribution Band: | Band 2 |
| Administered by: | College of Science and Engineering |
Numerical linear algebra: LU, QR, SVD factorisations, eigenvalue computations, least squares; numerical partial differential equations: finite differences, stability analysis, iterative solutions for elliptic equations.
Learning Outcomes
- manipulate advanced algebraic expressions and equations using appropriate techniques;
- factorise systems of linear equations (A=LU, A=LDU, PA=LU, A=AT=LDLT);
- understand fundamental theorems and definitions of linear algebra (operation counts, vector norms, matrix norms, condition numbers, Gerschgorin's Theorem, left and right inverses);
- apply linear algebra methods to solve eigenvalue and eigenvector problems, including QR algorithms and SVD factorisation;
- solve continuous and discrete least squares problems;
- classify partial differential equations and analytically solve certain types;
- construct numerical algorithms for different classes of partial differential equations (parabolic, hyperbolic);
- communicate mathematical thinking incorporating the concepts and methods presented in the course.
| Prerequisites: | MA2000 and MA2201 |
Availabilities | |
| Townsville, Internal, Study Period 2 | |
| Census Date 23-Aug-2018 | |
| Coord/Lect: | Assoc. Professor Wayne Read. |
| Contact hours: |
|
| Assessment: | end of semester exam (50%); other exams (10% - 20%); assignments (30% - 40%). |
Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.