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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
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- School of Science
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School of Environment and Society
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- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Chemistry
- Instructor(s)
- Okimoto Yoichi
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(M-101(H116))
- Group
- -
- Course number
- CHM.A211
- Credits
- 1
- Academic year
- 2023
- Offered quarter
- 1Q
- Syllabus updated
- 2023/3/20
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
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.
Student learning outcomes
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.
Keywords
series expansion, differential equations, special function
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
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
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Review of first grade | Review first-year chemistry and physics |
| Class 2 | Normal differential equations | Understand several differential equations |
| Class 3 | Partial differential equations I | Understand boundary condition problems for partial differential equations |
| Class 4 | Special function and selection rule | Understand Special function and selection rule |
| Class 5 | Fourier Series and Fourier Transforms | Understand Fourier Series and Fourier Transforms Can apply Fourier transform to spectroscopy |
| Class 6 | Laplace Transform I | Understand Laplace Transforms |
| Class 7 | Laplace Transform II | Understand Laplace Transforms and apply it to differential equations |
Out-of-Class Study Time (Preparation and Review)
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.
Textbook(s)
None
Reference books, course materials, etc.
Mathematics for Physical Chemistry
Assessment criteria and methods
Students' knowledge of basic topics of chemical mathematics covered in the course will be assessed by final exam.
Related courses
- CHM.C201 ： Introductory Quantum Chemistry
- CHM.C203 ： Exercise in Introductory Quantum Chemistry
- CHM.C332 ： Quantum Chemistry
- CHM.C301 ： Introductory Chemical Kinetics
- CHM.C303 ： Exercise in Introductory Chemical Kinetics
- CHM.C202 ： Chemical and Statistical Thermodynamics
- CHM.C204 ： Exercise in Chemical and Statistical Thermodynamics
- CHM.C334 ： Chemical Kinetics
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None
