GE1359Algebra

这门课学什么

课程简介

This course aims at strengthening students' background knowledge in the various topics of algebra. The content includes an introduction to functions, the theory of equations, trigonometric series, binomial theorem, set theory and combinatorics. It emphasizes on understanding the concepts of functions and the manipulation of algebraic problem-solving techniques. Students learn how to apply the concepts and mathematical techniques to solve real-life problems.

校方 PDF 第 2 页 · Abstract

课程内容

• Set theory • Functions: Domain, range, one-one, onto, and inverse • Trigonometric functions: Trigonometric identities, trigonometric series • Theory of equations: Quadratic equations, roots of polynomial equations • Inequalities: Elementary inequalities, triangle inequality, AM-GM inequality • Combinatorics: Counting techniques, binomial theorem • Mathematical induction

校方 PDF 第 5 页 · Keyword Syllabus

预期学习成果

查看校方学习成果与对应条件

CILOs                                               Weighting (if DEC-A1         DEC-A2            DEC-A3
                                                                   app.)
1              Explain the concept of functions and sets.                           x           x
2              Solve a system of equations and inequalities and                     x           x
               apply the techniques to problems related to real-
               world situations.
3              Apply trigonometric functions to solve                               x           x
               geometrical problems.
4              Prove rigorously mathematical statements using                       x           x
               mathematical induction.
5              Apply basic counting techniques to solve                             x           x                 x
               combinatorics problems.

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

无（校方注明 Nil）

校方 PDF 第 1 页 · Prerequisites

建议先备知识

无（校方注明 Nil）

校方 PDF 第 1 页 · Precursors

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

MA1502 Algebra

校方 PDF 第 1 页 · Equivalent Courses

互斥课程及条件

MA2508 Multi-variable Calculus

校方 PDF 第 1 页 · Exclusive Courses

怎么考，怎样才算通过

考核方式

Continuous Assessment (%): 30; Examination (%): 70; Examination Duration (Hours): 2

查看校方原始考核表与使用要求

ATs                CILO No.            Weighting (%)        Remarks ("-" for     Allow Use of
                                                                                    nil entry)           GenAI?
1                       Quizzes/Test/      1, 2, 3             15                   Questions are       No
                        Midterm                                                     designed for the
                                                                                    first part of the
                                                                                    course to see how
                                                                                    well the students
                                                                                    have learned the
                                                                                    basic concepts
                                                                                    and fundamental
                                                                                    theory of algebra,
                                                                                    and to apply
                                                                                    mathematical
                                                                                    techniques to solve
                                                                                    real-life problems.
2                       Formative take-  1, 2, 3, 4, 5         15                   These are skills-    Yes
                        home assignments                                            based assessment
                                                                                    to enable students
                                                                                    to demonstrate
                                                                                    the basic concepts
                                                                                    and fundamental
                                                                                    theory of algebra
                                                                                    and identify their
                                                                                    applications.

校方 PDF 第 3 页 · Continuous Assessment (%),Examination (%),Examination Duration (Hours)

通过条件

Minimum Examination Passing Requirement (%): 30 Additional Information for ATs: For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.

校方 PDF 第 3 页 · Minimum Examination Passing Requirement (%),Additional Information for ATs