2026/27 · 官方课程目录版本
该 PDF 文件注明的生效学期为 Semester A 2025/26。
2026/27 开课安排尚未核对。选课前请在 AIMS 确认可选课节。
这门课学什么
港真课程概览
结合线性代数和多变量微积分，介绍特征值分解、偏导、多重积分及高斯、斯托克斯和格林定理；课程作业涉及这些数学内容在科学和工程中的部分应用。
- 课程概述与目标
- This course aims to introduce important ideas in Linear Algebra and Advanced Calculus necessary for an understanding of their application to Science and Engineering. It will help students develop the ability to think quantitatively and analyse problems critically.
- 教学内容（Keyword Syllabus）
- Linear Algebra (3 weeks): Orthogonality; Eigenvalues and eigenvectors; Eigenvalue decompositions. Multi-variable Calculus (10 weeks): Functions of several variables; Partial differentiation; Multi-variable Taylor series; Multiple integration; Gradient, divergence and curl; Line and surface integrals; Theorems of Gauss, Stokes and Green.
校方 PDF 第 7 页 · Keyword Syllabus
- 预期学习成果
查看学习成果表
CILO 预期学习成果 比重 DEC 1 explain clearly mathematical concepts from linear algebra, and advanced calculus. 10% DEC-A1, DEC-A2 2 compute eigenvalues and eigenvectors of matrices and implement eigenvalue decompositions. 20% DEC-A1, DEC-A2 3 evaluate partial derivatives, local extrema and Taylor series of multivariate functions. 30% DEC-A1, DEC-A2, DEC-A3 4 evaluate multiple integrals, line and surface integrals, and perform the theorems of Green, Divergence and Stokes. 30% DEC-A1, DEC-A2, DEC-A3 5 apply mathematical and computational methods to a range of applications involving linear algebra and multi-variable calculus. 10% DEC-A1, DEC-A2, DEC-A3 校方 PDF 第 2 页 · Course Intended Learning Outcomes (CILOs)
我能不能修这门课
先修、建议先备和并修要求分别查看；等同及互斥条件也会影响选课。and 表示同时满足，or 表示备选；组合条件按下方原文分组阅读。
- 先修条件
- 建议先备知识
- 无（校方注明 Nil）
- 并修要求
- 该版官方课纲未列明该项。
- 其他修读要求
- 该版官方课纲未列明该项。
- 等同课程及条件
- 无（校方注明 Nil）
- 互斥课程及条件
- MA2158 Linear Algebra and Calculus
怎么考，怎样才算通过
- 考核方式
- Continuous assessment: 30%; Examination: 70%; Examination duration: 2 hours
各项考核占多少分
考核项目 比重 生成式 AI 使用 备注与限制 Test/MidtermCILO 1, 2, 3, 4 20% 否（No） Questions are designed for the first part of the course to see how well the students have learned concepts and techniques of linear algebra and multi-variable calculus. Hand-in assignments (Quizzes +WeBWorK)CILO 1, 2, 3, 4, 5 4% 是（Yes） These are skills based assessment to help students demonstrate advanced concepts and techniques of linear algebra, multi-variable calculus and some applications in science and engineering. Formative take-home assignmentsCILO 1, 2, 3, 4, 5 6% 是（Yes） The assignments provide students’ chances to demonstrate their achievements on linear algebra and multi-variable calculus learned in this course. 校方 PDF 第 4 页 · Assessment Tasks / Activities (ATs)
查看校方原始考核表与使用要求
Test/Midterm | CILOs 1–4 | 20% | GenAI No. Hand-in assignments (Quizzes +WeBWorK) | CILOs 1–5 | 4% | GenAI Yes. Formative take-home assignments | CILOs 1–5 | 6% | GenAI Yes.
- 通过条件
- 30% Coursework 70% Examination (Duration: 2 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.
学分、时长与版本信息
- 本版本课程名称
- Multi-variable Calculus and Linear Algebra
- 本版本学分
- 3
- 修读时长
- One Semester
- 课纲生效学期
- Semester A 2025/26
- 课纲列明的级别
- B1, B2, B3, B4 - Bachelor's Degree
核对官方原文件
可通过下方校方链接阅读或下载该版原始 PDF。 MA2001 · 打开校方原始 PDF ↗
来源 · 校方课程介绍 ↗ · 查阅 2026-10-18