Numerical Methods

Course code MATH3820Units 10Level 3000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

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.

Available in 2015

Callaghan CampusSemester 1
Previously offered in 2014
ObjectivesOn 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
. Interpolation
. 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.
Industrial Experience0
Assumed KnowledgeMATH2310
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Computer Lab
Assessment Items
Essays / Written Assignments
Examination: Formal
Quiz - Class
Contact HoursLecture: for 3 hour(s) per Week for Full Term
Timetables2015 Course Timetables for MATH3820