MA1300强化微积分与线性代数 I

这门课学什么

课程概述与目标

This is the first of two required courses designed for students pursuing studies in mathematics, or engineering/science students requiring solid background in mathematics. It aims to • strengthen skills and methods essential for study of further mathematics, • develop fluency in concepts of limits and techniques of differential calculus, and • nurture skills in logical thinking and translation of ideas with formal mathematical language.

教学内容（Keyword Syllabus）

• Polynomials; Mathematical induction • Functions and inverses • Limits of sequences and infinite series • Limits, continuity and differentiability of functions • Techniques of differentiation, implicit, logarithmic and parametric differentiation

校方 PDF 第 6 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	implement mathematical methods of algebra, trigonometry and coordinate geometry proficiently.	16%	DEC-A2, DEC-A3
2	explain properties of functions and manipulate expressions involving standard functions and their inverses.	16%	DEC-A1, DEC-A3
3	apply concepts and theory of sequences to evaluate their limits.	20%	DEC-A1, DEC-A2
4	describe concepts on infinite series and test their convergence/divergence.	16%	DEC-A1
5	explain at high level concepts of limit, continuity and differentiability of functions.	16%	DEC-A1
6	perform techniques of differentiation to obtain derivatives of functions.	16%	DEC-A2

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

(i) HKDSE Mathematics Compulsory Part and Extended Part Module 1 (Level 5), or (ii) HKDSE Mathematics Compulsory Part and Extended Part Module 2 (Levels 3 ‒ 5); or equivalent

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

MA1200 Calculus and Basic Linear Algebra I

互斥课程及条件

MA1006 Calculus and Linear Algebra for Business MA1508 Calculus

怎么考，怎样才算通过

考核方式

Continuous assessment: 30%; Examination: 70%; Examination duration: 3 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
Quizzes/Test(s)CILO 1, 2, 3, 4, 5, 6	20%	否（No）	Questions are designed to see how well students have learned basic mathematical methods, concepts of functions, limits, continuity and differentiability, as well as techniques of differential calculus. These assessment tasks monitor students’ progress and reveal gaps in knowledge.
Hand-in assignment(s)CILO 1, 2, 3, 4, 5, 6	10%	是（Yes）	These are skills based assessment to see whether students are familiar with essential mathematical techniques, properties of functions, theory and methods of limits of sequences and series as well as techniques of differential calculus.

校方 PDF 第 3–4 页 · Assessment Tasks / Activities (ATs)

查看校方原始考核表与使用要求

Quizzes/Test(s) | CILOs 1–6 | 20% | GenAI No.

Hand-in assignment(s) | CILOs 1–6 | 10% | GenAI Yes.

通过条件

30% Coursework 70% Examination (Duration: 3 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.