In this omnibus lecture course, students learn what basics are required to understand the cutting-edge researches in Mathematics, Physics, Chemistry and Earth and Planetary Sciences
The target is to know how the advanced science has been developed
Mathematics： projective geometry, duality, Mobius band
Physics：Wave equation, Fourier analysis, electromagnetic wave, matter wave, gravitational wave
Chemistry：Basic Research, Advanced Research, Role of Chemistry
Earth and Planetary Sciences：Electromagnetic fields, volcanoes, surface environments, isotopes, planet formation
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Mathematics：Lectures and discussion
Physics： Lectures
Chemistry： Lecture using slides
Earth and Planetary Sciences： Lecture using PPT slides
Course schedule | Required learning | |
---|---|---|
Class 1 | Mathematics：Classical projective geometry | Learn about the development of projective geometry and understand some of its theorems, such as duality. |
Class 2 | Mathematics：The shape of the projective plane | Investigate the structure of the projective plane over finite fields and the real numbers. |
Class 3 | Mathematics：Visualizing the projective plane | Understand the limitations in visualizing the real projective plane, such as Banchoff's theorem. |
Class 4 | Physics：Wave equation | Explain the relationship between the coupled oscilator and the wave equation. |
Class 5 | Physics：Properties of wave | Solve the one dimensional wave equation with the fixed boundary condition. |
Class 6 | Physics：Electromagnetic wave, waves in quantum mechanics | Derive the wave equation from the Maxwell equation. |
Class 7 | Physics：Waves in comtemporaly physics | Explain the principles of gravitational wave observations. |
Class 8 | Earth and Planetary Sciences：Earth's Internal Structure as Seen by Electromagnetic Fields | Observation of electromagnetic waves can probe the distribution of fluids and magma in the Earth's interior. In the lecture, I will introduce the latest research on the deep structures of volcanoes and seismogenic zones. |
Class 9 | Earth and Planetary Sciences：Stable isotopes in Life and Planetary Chemistry | The history of chemical and biological processes that occurred on the Earth and other planets in the past is recorded in the stable isotopic composition of environmental molecules. In this lecture, the principles and applications of stable isotopes in earth and planetary science and other fields will be discussed. Students will be required to summarize the results in a report. |
Class 10 | Earth and Planetary Sciences：Physics of planet formation | Understand key physical processes governing planet formation |
Class 11 | Chemistry：Lecture of basic chemistry and advanced research by a researcher | Understand the importance of basic chemistry and advanced research |
Class 12 | Chemistry：Lecture of basic chemistry and advanced research by a researcher | Understand the importance of basic chemistry and advanced research |
Class 13 | Chemistry：Lecture of basic chemistry and advanced research by a researcher | Understand the importance of basic chemistry and advanced research |
Class 14 | Chemistry：Lecture of basic chemistry and advanced research by a researcher | Understand the importance of basic chemistry and advanced research |
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Mathematics：None
Physics：None
Chemistry：None
Earth and Planetary Sciences：None
Mathematics： Not required
Physics： Supplementary materials are distributed at class if needed
Chemistry： Supplementary materials are given if needed
Earth and Planetary Sciences： Supplementary materials are distributed at class if needed
Mathematics： Reports
Physics： Assignments
Chemistry： Reports
Earth and Planetary Sciences： Reports
None.
None.