This is a lecture of mathematics (differential equations, special functions and vector analysis, 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.
differential equations, special function, vector analysis
|✔ 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||Partial differential equations||Can solve boundary problem of partial differential equations|
|Class 2||Application of differential equations to chemistry||Apply partial differential equations to chemistry|
|Class 3||Special function||Can solve partial differential equations with special functions|
|Class 4||Application of special functions to chemistry||Apply properties of special functions to chemistry|
|Class 5||Vector analysis||Can calculate with various derivative operators|
|Class 6||Derivative and integration of vector field||Can calculate derivative or integrate a vector field|
|Class 7||Application of calculation of vector field to chemistry||Apply calculation techniques of vector field to chemistry|
|Class 8||Application of mathematics to chemistry||Apply obtained knowledge of mathematics to chemistry|
Fundamental quantum chemistry by K. Obi and K .Shibuya
Students' knowledge of basic topics of chemical mathematics covered in the course will be assessed by final exam.