2024 Faculty Courses School of Science Undergraduate major in Chemistry
Mathematics for Chemistry I
- Academic unit or major
- Undergraduate major in Chemistry
- Instructor(s)
- Yoichi Okimoto
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue
- Class
- -
- Course Code
- CHM.A211
- Number of credits
- 100
- Course offered
- 2024
- Offered quarter
- 1Q
- Syllabus updated
- Mar 17, 2025
- Language
- Japanese
Syllabus
Course overview and goals
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.
Course description and aims
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
- 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/Objectives
| Course schedule | Objectives | |
|---|---|---|
| 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 |
Study advice (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
Evaluation methods and criteria
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
None