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Cluster D (Science, Technology and Society) in Core Curriculum

Mathematical Literacy in Today’s World

Course: CLD9004 Term: Second, 2025 – 2026

Section 1

Hours/Term: 42 Credits: 3

Brief Course Description

Hermann Weyl (1885-1955) said: “Mathematics sets the standard of objective truth for all intellectual endeavours, science and technology bear witness to its practical usefulness. Besides language and music, it is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world-understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and abilities which we have to teach, of the culture we have to transmit to the next generation.”

This course stresses the prevalence, relevance, and practicality of mathematics in modern society. Real world examples, such as traveling plans for a postman and a salesman, voting methods and strategies, social choice, elections and the time value of money, will expose the non-specialist to contemporary mathematical thinking. The mathematical techniques involved are taught via hands-on applications. This course is specifically designed for non-math majors.

Aims

This course is aimed to introduce students in a non-technical fashion, some of the major mathematical techniques currently available to various daily life problems. Topics include: (1) Planning and Scheduling, (2) Voting and Social Choice, (3) Fairness, (4) Game Theory and (5) Saving and borrowing models.

This course is also aimed to enhance students’ problem-solving ability through mathematical reasoning, case study and classroom exercises.

Learning Outcomes

On completion of this course, students will be able to:

1. Demonstrate a comprehension of the value of contemporary mathematical thinking in daily life, such as how to effectively schedule a job or traveling plan, how money is saved, how loans are discharged, how to choose a “fair” apportion method and how people choose strategies with games theory.

2. Apply mathematics to real world issues, such as how the different systems of voting may affect the outcome of an election and to determine the voting power of voters under different scenarios and be aware of their personal and social responsibility in voting and civic engagement which are crucial for maintaining a healthy and representative democracy.

3. Use electronic tools to solve problems in daily life.

Measurement of Learning Outcomes

1. Class Attendance and Participation: In classes, students need to recognize the mathematical methods for solving daily life problems

2. Assignments: Students are required to analyse and solve daily life problems to demonstrate their abilities to apply the knowledge acquired in this course to real world situation.

3. Final examination: The final examination to demonstrate their comprehension and application of mathematical reasoning applied to a real-world setting.

Indicative Content

Finding Your Way through Graphs

The Chinese postman problem (Euler circuits), the traveling salesman problem (Hamiltonian circuits), the Pictaphone service (Minimum cost spanning trees)

Imperfect Democracy

Voting methods and strategic voting, weighted voting and the voting power index, apportionment methods, the Alabama paradox and population paradox

Elementary principles of Game theory

Zero-sum games, non-zero-sum games, Prisoner’s dilemma

Time Value of Money

Saving models and borrowing models, future value and compounding, present value and discounting, annuities and perpetuities, the economics of resources

Teaching Method

Basic concepts are discussed during lectures with theories explained in the context of practical real-life examples. Laboratory sessions may be used to introduce the application of Microsoft Excel or other mathematical tools to the solving of real-life problems.

Required/Essential Readings

COMAP (The Consortium for Mathematics and its Applications), For All Practical Purposes – Mathematical Literacy in Today’s World, 11th Ed., Freeman, 2021.

Assessment

Continuous Assessment 40%

Class Participation (5%)

Five written assignment (35%)

Examination 60%

Students are assessed throughout the term on their attendance, class participation, written assignments and the final examination.

Students are required to use a computer software and an electronic calculator for problem solving.

Course Website

Course materials (classroom exercises, data files, presentation slides) and information (such as assignments and final exam) related to the course will be maintained on Moodle. Students are advised to check on the course website frequently.

Warnings

Classroom disciplines: Students are expected to attend every class. Punctuality is very important.

Assignments and Exam: Information on assignments and the examination will be posted in the course website several weeks in advance of the events.

Important Notes:

1. Students are expected to spend a total of 9 hours (i.e. 3 hours of class contact and 6 hours of personal study) per week to achieve the course learning outcomes.

2. Students shall be aware of the University regulations about dishonest practice in course work, tests and examinations, and the possible consequences as stipulated in the Regulations Governing University Examinations. In particular, plagiarism, being a kind of dishonest practice, is “the presentation of another person’s work without proper acknowledgement of the source, including exact phrases, or summarised ideas, or even footnotes/citations, whether protected by copyright or not, as the student’s own work”. Students are required to strictly follow university regulations governing academic integrity and honesty.

3. Students are required to submit writing assignment(s) using Turnitin.

4. To enhance students’ understanding of plagiarism, a mini course “Online Tutorial on Plagiarism Awareness” is available on https://pla.ln.edu.hk/.

5. Students must adhere to the University’s guidelines and practices when using Generative Artificial Intelligence (AI) tools. The official documents “Guidelines for Using GAI Tools at Lingnan University” and “Best Practices for Ethical and Responsible Use of GAI Tools in Course Assessments” can be found here: https://www.ln.edu.hk/tlc/generative-artificial-intelligence/gai-guidelines-best-practices.

Tentative Schedule:

Week

Topics

1 – 3

Graph Theory

Introduction of the Course

Chapter 1: Urban Services

Chapter 2: Business Efficiency

Chapter 3: Planning and Scheduling

4 – 5

Social Choice

Counting Rules