# Numerical Methods

University of Newcastle

## Course Description

• ### Course Name

Numerical Methods

• ### Host University

University of Newcastle

• ### Location

Newcastle, Australia

Mathematics

• ### Language Level

Taught In English

MATH2310

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Host University Units

10
• Recommended U.S. Semester Credits
3 - 4
• Recommended U.S. Quarter Units
4 - 6
• ### Overview

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.
LEARNING OUTCOMES
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
ASSESSMENT ITEMS
Written Assignment: Written Assignment 1
Written Assignment: Written Assignment 2
Quiz: In-class quiz
Formal Examination: Final examination

### Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.