MA3201 - Numerical Methods
Credit points: |
03 |
Year: |
2019 |
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 29-Aug-2019 |
Coordinator: |
Assoc. Professor Shaun Belward |
Contact hours: |
- 26 hours lectures
- 13 hours practicals
|
Assessment: |
end of semester exam (50%); other exams (10% - 20%); assignments (30% - 40%). |
|
|
Cairns,
Internal,
Study Period 2
|
Census Date 29-Aug-2019 |
Contact hours: |
- 26 hours lectures
- 13 hours practicals
|
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.