GE1359Algebra

What you will study

Course overview

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.

Official PDF, page 2 · Abstract

Course content

• 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

Official PDF, page 5 · Keyword Syllabus

Intended learning outcomes

View official learning outcomes and conditions

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.

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites

Nil

Official PDF, page 1 · Prerequisites

Precursors

Nil

Official PDF, page 1 · Precursors

Corequisites

This edition of the official syllabus does not state this item.

Additional course requirements

This edition of the official syllabus does not state this item.

Equivalent courses and conditions

MA1502 Algebra

Official PDF, page 1 · Equivalent Courses

Exclusive courses and conditions

MA2508 Multi-variable Calculus

Official PDF, page 1 · Exclusive Courses

Assessment and passing the course

Assessment

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

View the original assessment table and instructions

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.

Official PDF, page 3 · Continuous Assessment (%),Examination (%),Examination Duration (Hours)

Passing requirements

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.

Official PDF, page 3 · Minimum Examination Passing Requirement (%),Additional Information for ATs