Faculty of Science Summer Programme
University Mathematics I
Programme Date: June 19 - July 07, 2023
Target: S4-S6 students
Programme Level: Undergraduate
Programme Description:
Calculus is a branch of mathematics that finds wide applications in science, economics and finance, engineering, and many other areas. This is the first course in one-variable calculus.
Outline
- Pre-calculus topics (set theory, combinations and permutations, mathematical induction, binomial theorem, exponential, logarithmic, and trigonometric functions)
- Limits and Differentiation with Applications
- Indefinite and Definite Integrals with Applications
Learning Outcomes
- Use the set notations; calculate probabilities; and prove by induction
- Solve problems involving exponential, logarithmic and trigonometric functions
- Evaluate limits and derivatives
- Compute simple definite and indefinite integrals
- Solve practical problems such as determining maxima and minima; finding area
Delivery Mode of Programme: Face-to-face OR Online (Please indicate preferred study mode in your application; Programme Fee = F2f)
Programme Fee: $4,390 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Mondays, Wednesdays, & Fridays
Class Time: 09:30 - 13:30
Remark:
- Pre-recorded lecture and tutorial videos will be available from June 19.
- Hybrid lectures (online+f2f) will be scheduled in the mornings (09:30-13:30) of June 19, 21, 23, 26, 28, 30 July 3, 5, 7(Mon/Wed/Fri). -- All the lectures will be recorded and students can watch them anytime from 19 June to 7 July.
- 3 tests will be held on June 26, 30, and July 5, and the final examination on July 7 during the lectures.
Credit Bearing: 6 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
Techniques of Counting
Programme Date: June 19 - June 30, 2023
Target: S4-S6 students
Programme Level: Undergraduate
Programme Description:
Counting is one of the very first topics one encounter in mathematics. While the subject generally requires a little prerequisite, it is so deep and broad that many elegant and surprising results arise. In this course, we will study various techniques of counting, and look at some famous numbers arising from counting problems.
Learning Outcomes
- Solve various combination and permutation problems using various formulas in combinatorics;
- Apply the techniques of recurrence relations and generating functions to counting problems;
- Describe the meanings and properties of some famous numbers arising from counting problems.
Topics will generally be selected from the following, and many counting problems in daily life settings will be studied:
- Various forms of combinations and permutations (e.g. with/without repetition, circular, different restrictions)
- Various formulas and techniques of counting (e.g. binomial theorem and its generalisations, inclusion-exclusion principle, generating functions, recurrence relations)
- Famous numbers arising from counting problems (e.g. derangement numbers, Fibonacci numbers, Catalan numbers, Stirling numbers, Bell numbers, Schröder numbers)
Delivery Mode of Programme: Face-to-face
Programme Fee: HK$3,550 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Mondays, Wednesdays, & Fridays
Class Time: 14:00-17:00
Remark:
- Pre-recorded lecture videos will be available from June 19.
- Face-to-face classes will be scheduled in the afternoons (14:00-17:00) of June 21, 23, 26, and 28 (Mon/Wed/Fri).
- A test will be held on June 26 (afternoon) and the final examination on June 30 (afternoon).
- Face-to-face classes are optional but students have to attend the tests and final exam on campus. For overseas and mainland students, please make sure that you have a valid visa before the start of the programme.
Credit Bearing: 0 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
MARTHA數藝同行
Programme Date: July 10 - July 14, 2023
Target: S4-S6 students
Programme Level: S4-S6
Programme Description:
MARTHA, or “Math – Art – Abreast”, means “Mathematics and Art do something Abreast”. This program is for senior secondary school students to learn how mathematics can be used in a creative way to produce art and magic. By means of a wide variety of hands-on activities and in-class performances, students will learn the underlying mathematical theory to create their own beautiful art images and design their own magical show. Software such as GeoGebra will be used for the part on artistic design and as a means to facilitate the understanding of mathematical concepts.
Outline
- It is a 4-day program consisting of two 2.5-hour workshops per day. In every workshop, relevant mathematical knowledge (and coding techniques if applicable) would be introduced. Candidates (individual or grouped) would apply what they have learned and make their own designs.
Learning Outcomes
- Explain some magic tricks using mathematical arguments
- Recognize the mathematical elements in some artistic designs
- Make use of software (e.g., GeoGebra, Scilab) for a variety of purposes
- Design their own artistic work and/or perform a magic show based on their mathematical knowledge learned in the course.
Delivery Mode of Programme: Face-to-face
Programme Fee: HK$1,900 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Monday, Tuesday, Thursday, & Friday
Class Time: 10:00-12:30; 14:30-17:00
Credit Bearing: 0 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
Chemistry Summer School
Programme Date: July 10 - July 14, 2023
Target: S4-S6 students
Programme Level: S4-S6
Programme Description:
The Chemistry Summer School is an inquiry-based program supplemented with plenty of hands-on learning experiences. Through carefully designed experiments, students will learn chemistry synthesis and analytical skills with a focus on materials production and drug analysis. Each experiment requires students to solve a specific scientific problem through the application of scientific methodology.
This course aims to provide students with opportunities to design and conduct chemical synthesis and analysis to solve problems in real-life situations. Through experiments and various learner-based activities, students will gain hands-on experience in conducting scientific investigations in the field of chemistry. Students will conduct experiments related to silicone production, drug analysis, and organic synthesis.
Learning Outcomes
- Appreciate the role of chemistry in daily life.
- Apply chromatography and spectroscopy techniques to solve scientific problems in real-life context.
- Conduct chemistry experiments related to silicone production, drug analysis and organic synthesis.
Delivery Mode of Programme: Face-to-face
Programme Fee: HK$2,500 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Monday to Friday
Class Time: 09:30 - 12:30
Credit Bearing: 0 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
University Physics
Programme Date: July 10 - July 28, 2023
Target: S4-S6 students
Programme Level: Undergraduate
Programme Description:
This is an introductory, calculus-based physics course for students who want to have an overview of physics at the university level. It covers mechanics, gravitation, oscillations, waves and sound, heat and thermodynamics, electricity and magnetism, and physical optics. Conceptual ideas in physics are emphasized and the mathematical treatment is moderate.
Learning Outcomes
- Describe and explain the fundamental physical principles
- Apply these principles, together with logical and mathematical reasoning, to situations of the physical world
- Analyse and solve problems with the aids of mathematics
- Acquire and interpret experimental data to examine the physical laws
Delivery Mode of Programme: Face-to-face
Programme Fee: HK$6,400 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Monday to Friday
Class Time: 14:30-17:30
Credit Bearing: 6 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
Our Living Environment: Dynamics and Resources of the Earth
Programme Date: July 25 - July 29, 2023
Target: S1-S6 students
Programme Level: S1-S6
Programme Description:
The objective of this course is to provide a general understanding of our planet Earth and environmental issues. Through comprehensive lectures, hands-on exercises, outdoor field trips and visits to different university and government facilities, students will acquire knowledge about Earth System Sciences from various scientific perspectives. Students will come across basic concepts on Earth and environmental related disciplines and gain experience on scientific interpretation, which enable them to widen their horizon on their future learning development.
Outline
- Identification of common rocks and minerals
- Earth dynamics and geological hazards
- Climate change and environmental issues
- Natural resources and sustainable development
Learning Outcomes
- Enhanced their skills of scientific interpretation and critical thinking
- Obtained field work experience and training on field interpretation
- Ability to identify common minerals and rocks and their economic values
- Fundamental concepts of the Earth dynamics and geological hazards by case studies
- Developed better knowledge on global climate change, the human impacts on this issue, and the concept of sustainable development
Delivery Mode of Programme: Face-to-face
Programme Fee (Half Scholarships): HK$3,100 (Full price is HK$6,200)
Class Day: Tuesday to Saturday
Class Time: 09:30-12:30; 14:30-17:30
Credit Bearing: 0 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
Linear algebra I
Programme Date: July 25 - August 04, 2023
Target: S4-S6 students
Programme Level: Undergraduate
Programme Description:
Linear algebra has wide applications to diverse areas in natural science, engineering, management and social science. Instructed by university teachers, this course will provide students with the basic concept of linear structure through many concrete examples in the Euclidean spaces.
Outline
- Linear Equations and Matrices
- Vector Geometry
- Vector Spaces and Linear Transformations
Learning Outcomes
- Handle matrix operations and use them in some practical problems
- Solve systems of linear equations by Gauss-Jordan elimination and also compute inverses of square matrices
- Understand the concept of vector spaces, basis, dimension, and linear transformations and compute the matrix representations of some linear transformations
- Solve some simple eigenvalue problems and apply the theory to some practical problems
- Solve some practical problems involving the least square concept
Delivery Mode of Programme: Face-to-face
Programme Fee: HK$4,390 (Full or half scholarships will be offered to selected students upon review by Faculty of Science)
Class Day: Mondays to Fridays
Class Time: 09:30-12:30; 14:00-15:00
Credit Bearing: 6 Credits Programme
Registration: Please apply HERE, before April 30, 2023
-------------------------------------------------------------------------------------------------------------------
For enquiries, please contact us directly at talented@hku.hk
*It is our firm belief that no student should be denied admission due to financial difficulties. Grant is available for students who can provide supporting documents issued by the Student Finance Office for receiving a full grant of Student Textbook Assistance Scheme or documents from the Social Welfare Department for obtaining CSSA. To apply, please select the specific programme on the system accordingly. Deadline for application is on April 30, 2023.
Disclaimer: Programme contents and formats are subject to change. We will continue to work closely with professors to refine our programme and ensure that students will have a safe and enjoyable time. Programme fees and application fees are non-refundable.