Available in 2013
|Callaghan Campus||Semester 2|
Previously offered in 2012, 2011
Numerical methods are now at the heart of applied mathematics. Many significant practical problems cannot be solved by analytical methods - their solutions can only be approximated through numerical methods. Since numerical methods do not give exact solutions to problems it is important to analyse their accuracy. It is also important to understand the stability, efficiency and robustness of a numerical scheme.
This course introduces concepts in numerical analysis emphasising the development of numerical algorithms to provide solutions to common problems formulated in science and engineering. This will develop the basic understanding of numerical algorithms, their computer implementation, applicability and limitations.
|Objectives||On successful completion of this course, students will be able to:
1. Understand floating point numbers, computer arithmetic and the role of errors in numerical analysis.
2. Understand the applicability and limitations of a range of important numerical schemes and their role in science and mathematics.
3. Develop their own numerical algorithms for real-world problems, implement them in a computer, visualise and interpret their solutions.
4. Understand accuracy, consistency, stability and convergence of a numerical method, and the concepts of well- and ill-conditioned problems.
|Content||. Computer arithmetic
. Solving nonlinear equations
. Numerical differentiation and integration
. Solving systems of linear equations
. Least squares approximation
|Replacing Course(s)||This course is not replacing any specific course but several courses are no longer offered as part of the BMath revision process.|
|Modes of Delivery||Internal Mode|
|Contact Hours||Lecture: for 3 hour(s) per Week for Full Term|
|Timetables||2013 Course Timetables for MATH3820|