This is a lecture of mathematics (series expansion, differential equations, special functions, etc. ) that is indispensable for those who study chemistry.
The goal is to fully understand the roles of mathematics in several topics in chemistry such as boundary problems of Schrodinger equation, selection rules, and optical phenomena, as well as the physical meanings.
The goal is to understand the meaning of each topics on mathematics and to fully put them to use as tools for study of chemistry.
series expansion, differential equations, special function
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Each class consists of outline of basic topics, explanation of exercise problems, and introduction of related topics. Students are required to learn outside of the classroom for preparation and review purposes under the instructor's guidance.
Course schedule | Required learning | |
---|---|---|
Class 1 | Series expansion | Can series-expand functions |
Class 2 | Special functions I : Integral functions | Understand several integral functions |
Class 3 | Normal differential equations | Can solve normal partial differential equations Can obtain series solutions |
Class 4 | Fourier series | Can Fourier-series-expand periodic functions |
Class 5 | Fourier transformation | Understand the relationship between Fourier transform and delta function Can apply Fourier transform to spectroscopy |
Class 6 | Special functions II : Orthogonal polynomials I | Understand Hermite polynomial and can apply it to solve Schrödinger equation of a harmonic oscillator |
Class 7 | Special functions II : Orthogonal polynomials II | Understand Ledendre function and can apply it to multipole expansion |
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.
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Mathematics for Physical Chemistry
Students' knowledge of basic topics of chemical mathematics covered in the course will be assessed by final exam.
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