2022 Faculty Courses School of Science Undergraduate major in Chemistry
Mathematics for Chemistry I
- Academic unit or major
- Undergraduate major in Chemistry
- Instructor(s)
- Shun-Ichi Ishiuchi
- Class Format
- Lecture (Livestream)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue (H105)
- Class
- -
- Course Code
- CHM.A211
- Number of credits
- 100
- Course offered
- 2022
- Offered quarter
- 1Q
- Syllabus updated
- Jul 10, 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 | 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 |
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