### ST0140
Calculus: Why should We Care?##### By Faculty of Science
Level: F.5 – F.6
HKDSE Related Subject(s): MathematicsCalculus is a subject that many secondary school students have to take (and dread!), but why we learn it is rarely discussed. From internet search engines to radio waves to modelling how diseases spread, calculus has significantly affected scientific understanding and applications throughout our recent history. We will take a look at some basic calculus concepts and discuss why they were crucial in the development of humankind. Prior understanding beyond secondary school mathematics is not required. |

### ST0117
Groups and Symmetry##### By Department of Mathematics
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsThis talk will introduce the concept of a group through the study of the mathematics behind the idea of symmetry. As mentioned in the first sentence of the Preface of the book Groups and Symmetry by M A Armstrong: "Numbers measure size, groups measure symmetry ...," a group basically encodes the symmetry features of a geometric object. In this talk, the symmetries of some simple figures as motivation for the abstract mathematical definition of a group will be shown. The relation between groups and rearrangements (permutations) of objects will be shown also. |

### ST0088
In the World where Angle Sum of Triangle Does Not Equal to 180 Degrees##### By Faculty of Science
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsCan you imagine that two parallel lines can intersect? Is the sum of the interior angles of a triangle necessarily 180 degrees? If we do not follow the parallel postulate proposed by Euclid in his text Elements, we open the door of non-Euclidean Geometry. Development of non-Euclidean geometries since the 19th century has exerted a profound impact on the development of mathematics, introducing fundamental changes to the concept of space such as Einstein's Relativity. |

### ST0039
Interesting Things about Interest Rates##### By Department of Statistics and Actuarial Science
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsThis talk will introduce some basic concepts and characteristics about the operation of interest rates. The speaker will also briefly look into the relationships between interest rates and other economic variables. |

### ST0090
Is Mathematics Discovered or Invented?##### By Faculty of Science
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsIt has been debated over centuries, whether mathematics already existed in nature and was gradually discovered by human, or if it was simply a human invention. The speaker will provide different examples and let us reflect on this question and look into the nature of mathematics. |

### ST0101
Misuses of Statistics##### By Department of Statistics and Actuarial Science
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsStatistics is used everywhere in our daily lives, from research reports and scientific articles to newspaper reports and magazines. Unfortunately, the misuse of statistics, either accidentally or purposely, is very common. This talk will discuss some real life examples on how statistics are misused, and how not to commit and not be misled by these misuses. |

### ST0144
The Mathematics of Sharing##### By Department of Mathematics
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsIn daily life we often have to allocate resources to different parties. For instance kids may try to share a cake among themselves. When a group of friends ride a taxi home they may try to split the fare. In an election seats are allocated to different parties according to the number of votes. As we try to look for "fair" ways of allocation some interesting mathematical problems arise. In this talk we will try to investigate some of these problems. |

### ST0116
Probability and Phylogeny##### By Department of Mathematics
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsAs Charles Darwin's theory of evolution became widely accepted in the scientific community, biologists started to discover the history of the evolution of a species. They wanted to answer questions like "what is the closest living organism to a species", "what is their common ancestor, and when did they diverge", etc. However, the evidence is very limited –– most of the common ancestors are extinct and very few of their remains can be found in fossils. This talk will introduce how mathematics is used to find those linkages hidden in the genes. |

### ST0041
Statistics: The Art of Scientific Reasoning##### By Department of Statistics and Actuarial Science
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsFor over a century statistics has provided scientists, and practitioners alike, with an important tool for data analysis, for reasoning and for drawing inference. This talk will explore the wide range of applications of statistics through real-life examples. |

### ST0131
The Art of Mathematics: Funs and Applications##### By Department of Mathematics
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsMathematics relies on both logic and creativity. Is mathematics an art or a science? For most of us, the essence of mathematics lies in its beauty and its intellectual challenge. In this talk, we will feel the beauty and elegance of mathematics through fun stories and applications. |

### ST0025
The Wonderful World of 0 and 1##### By Department of Mathematics
Level: F.4 – F.6
HKDSE Related Subject(s): MathematicsThe wonderful world of 0 and 1 touches every aspect of our lives. You are probably familiar with the digital world through surfing on the internet with an iPad, making a phone call with Xiaomi Note, or chatting through WeChat, etc. This talk, however, will show you another face of this wonderful world. It turns out that mathematics provides solid underlying principles or different aspects, and nearly all branches in mathematics, such as, algebra, geometry, analysis, and so on, can find their applications in the world. |