MA1301强化微积分与线性代数 II

这门课学什么

课程概述与目标

This is the second of two required courses designed for students pursuing studies in mathematics, or engineering/science students requiring solid background in mathematics. It aims to • develop fluency in concepts and techniques from integral calculus, linear algebra and complex numbers, • introduce elementary theory of differential and integral calculus, and • foster skills in implementing methods of calculus and linear algebra to mathematical and physical applications.

教学内容（Keyword Syllabus）

a. Definite and indefinite integrals; Techniques of integration, integration by substitution, integration by parts; Improper integrals b. Physical and geometric applications of integration c. Vectors in R² and R³; Scalar products, cross products, triple scalar products; Linear (in)dependence; Applications to equations of lines and planes d. Matrices; Determinants, cofactor expansion; Systems of linear equations, Gaussian elimination, Cramer’s rule; Matrix inverses, Gauss-Jordan elimination method e. Arithmetic of complex numbers; Polar and Euler forms; De Moivre’s theorem and its applications

校方 PDF 第 5 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 elementary theory of differential and integral calculus.	15%	DEC-A1
2	perform techniques of integration to evaluate integrals of functions.	30%	DEC-A2
3	explain at high level concepts from vector and matrix algebra.	10%	DEC-A1
4	manipulate expressions and solve geometric problems with vector arithmetic.	10%	DEC-A2
5	implement techniques of matrix arithmetic and of solving linear systems.	15%	DEC-A2
6	perform operations and solve equations involving complex numbers.	10%	DEC-A2
7	develop mathematical models through calculus and linear algebra, and appropriately apply to problems in science and engineering.	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

(i) MA1300 Enhanced Calculus and Linear Algebra I; or (ii) Grade B or above in MA1200 Calculus and Basic Linear Algebra I (approval from MA must be obtained)

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

MA1201 Calculus and Basic Linear Algebra II

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/MidtermCILO 1, 2, 3, 4, 5, 6, 7	21%	否（No）	Questions are designed to see how well students have learned theory of calculus, techniques of integral calculus, as well as concepts and methods of linear algebra and complex numbers. These assessment tasks monitor students’ progress and reveal gaps in knowledge.
Hand-in assignment(s)CILO 1, 2, 3, 4, 5, 6, 7	9%	是（Yes）	These are skills based assessment to see whether students are familiar with elementary theory of calculus as well as essential methods and applications of integral calculus, linear algebra and complex numbers.

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

查看校方原始考核表与使用要求

Quizzes/Test/Midterm | CILOs 1–7 | 21% | GenAI No; Hand-in assignment(s) | CILOs 1–7 | 9% | 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.