Summer Calculus Class 2024
Summer Calculus Class 2024, featuring 3 lecture sessions, is organized to enhance senior high school students' comprehension of differentiation, integration concepts, and their real-world applications. The speakers include Dr. Steven Yuen, Dr. Anthony Suen, and Dr. Chiu Mei Choi.
The title of Dr. Yuen's session is "An Intuitive Introduction to Limits", which focuses on introducing the fundamental concept of limits and its crucial relation to calculus to high school students. In this engaging session, Dr. Yuen has shown our students how limits are applied to derive formulas for the area and volume of various shapes and solids. With clear and detailed demonstrations, he uses a combination of pictures, videos, and illustrative examples to ensure that the students fully grasp these important mathematical ideas. Additionally, Dr. Yuen takes the time to explain the historical context and development of the concept of limits, further enriching the learning experience.
After introducing limits to our students, we held a second session titled "Introduction to Calculus: Differentiation and Integration." Dr. Suen expertly conducted this session. He began by providing a comprehensive overview of the rich history of calculus development. Following this, Dr. Suen delved into the definitions of differentiation and integration, ensuring students grasped these foundational concepts. In addition to these definitions, Dr. Suen briefly discussed the profound applications of calculus in various fields, particularly emphasizing its pivotal role in physics. He illustrated how calculus is indispensable in modeling and solving complex physical phenomena. Dr. Suen showcased a series of famous and significant differential equations and integrals to enrich the session further.
Our last session was conducted by Dr. Chiu, who is an expert in the field of statistics. The session's title was "Application of Calculus", a topic that promises to bridge the gap between abstract mathematical theories and their practical applications in statistical analysis. During the session, Dr. Chiu introduced several fundamental concepts for understanding and applying statistical methods. These included probability density/mass functions, which describe the likelihood of a continuous/discrete random variable; moment generating functions, which provide a way to characterize the distribution of a random variable; and maximum likelihood estimation, a method for estimating the parameters of a statistical model. Each concept was explained in detail, with examples and applications to real-world problems, making the session informative and engaging for all attendees.
