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Unit of study_
MATH4076: Computational Mathematics
2026 unit information
This unit of study provides an introduction to mathematical computing and numerical analysis. Topics covered include floating-point arithmetic and computational errors, solution of (systems of) equations, numerical integration and differentiation, interpolation and approximation of functions, numerical methods to approximate solutions of differential equations, and basic concepts of numerical optimization with applications. This unit will cover the mathematical theory of numerical methods and their implementation in a modern programming language.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
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Prerequisites:
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[A mark of 65 or above in (12 credit points of MATH2XXX) or (6 credit points of MATH2XXX and 6 credit points of STAT2XXX or DATA2X02)] or (12 credit points of MATH3XXX) |
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Corequisites:
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None |
| Prohibitions:
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MATH3076 or MATH3976 |
| Assumed knowledge:
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(MATH2X21 and MATH2X22) or (MATH2X61 and MATH2X65) |
At the completion of this unit, you should be able to:
- LO1. Learn and apply computational methods (e.g., root‑finding, numerical integration, linear system solvers, and ODE solvers) that solve problems arising in Mathematics, the Natural Sciences, and Engineering.
- LO2. Understand and analyze the computational efficiency of different methods, the accuracy of numerical solutions, and sources of error in numerical calculations.
- LO3. Apply mathematical ideas and tools to analyse numerical methods, derive their key properties, explain why they work, and justify their applicability to different classes of problems.
- LO4. Apply computational methods to solve a concrete mathematical problem, analysing the errors in the numerical solutions, evaluating the suitability of different methods, and creating suitable solutions to the problem.
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