MTH2051
Introduction to computational mathematics
基本信息
| 学分 | 6 credit points |
|---|---|
| 开课学期 | Second semester |
| 校区 | Malaysia |
| 考核构成 | Continuous assessment — 60% Final assessment - Exam (2 hours and 10 minutes) — 40% |
开课安排1 条
| 教学期 | 授课方式 | 状态 |
|---|---|---|
| Second semester | Teaching activities are on-campus (ON-CAMPUS) | 开课 |
以上为该校区在官方资料中登记的全部开课安排，不是汇总。同一门课可能在多个 教学期开课，也可能不同教学期的授课方式不同。
课程简介
When mathematics is used in real-world applications, it almost always involves the use of computers. This unit provides an introduction to numerical methods for solving maths-related problems on computers. Topics covered include error analysis; methods for finding roots of nonlinear equations; polynomial interpolation; numerical differentiation and integration; numerical methods for ordinary differential equations; and methods for solving linear systems. You will receive a solid introduction to the theory of the numerical methods (with derivations of the methods, error estimates and convergence proofs), and will learn to implement the computational methods in Python. The methods and techniques learned have broad applicability in areas that include the natural sciences, engineering, the biomedical sciences, finance, business, machine learning, and data science.
以上为 Monash Handbook 的官方原文，版权属 Monash University，此处按本站要求转载并标注出处： 官方页面 ↗
学习成果6 条
官方原文（Learning outcomes），版权属 Monash University。
- ULO1 Demonstrate an understanding of the uses of common numerical methods, as well as their advantages and disadvantages;
- ULO2 Determine the performance of a numerical algorithm when applied to a concrete mathematical problem from the properties of problem and the properties of the algorithm, using theoretical results;
- ULO3 Apply mathematical principles and theorems to quantify the error of approximations used in numerical methods;
- ULO4 Work actively with mathematical concepts such as vector norms, matrix norms, the Lipschitz property and the one-sided Lipschitz property in a mathematically rigorous way;
- ULO5 Implement numerical methods for a variety of problems in Matlab, and test the accuracy and efficiency of an implementation;
- ULO6 Demonstrate advanced skills in the written presentation of theoretical and applied numerical mathematics problems.
教学方式与预期工作量
预期工作量
• Three 1-hour seminars;
• One 2-hour applied class (in weeks 2-12) and
• 7 hours of independent study per week.
官方原文，版权属 Monash University。
先修 / 同修要求
官方资料未列出该课程的先修要求。
先修链路
官方资料未列出该课程的先修要求，因此没有链路可画。
属于这些学位1 个
这门课出现在下列学位的官方结构里。反过来说：如果你读的是这些学位之一，它大概率是要修的 （必修还是选修取决于它在 Part 里的位置，点进去看结构）。
数据来源
- 数据来源
- 官方网页
handbook.monash.edu ↗ - 抓取时间
- 2026-09-13
- 可信度
- 程序抓取，未人工核实
查看官方完整描述 ↗ — 事实性字段（代码、学分、教学期、授课方式、考核权重、先修/同修/互斥关系）与 课程简介、学习成果、教学方式、预期工作量均取自官方 Handbook； 正文版权属 Monash University，此处转载并逐处标注出处。
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