2024 Faculty Courses School of Science Undergraduate major in Chemistry
Mathematics for Chemistry II
- Academic unit or major
- Undergraduate major in Chemistry
- Instructor(s)
- Shun-Ichi Ishiuchi
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue
- Class
- -
- Course Code
- CHM.A212
- Number of credits
- 100
- Course offered
- 2024
- Offered quarter
- 2Q
- Syllabus updated
- Mar 17, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This is a lecture of mathematics (especially, linear algebras) that is indispensable for those who study chemistry.
The goal is to fully understand mathematical techniques to calculate complicated vector formula, to solve eigenvalue and orthogonalization problem of matrixes and to treat operator algebras, as well as their physical and chemical 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
Complex functions, Fouriertransform, Laplace transform
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 | Vector space | Understand the linear combination of vectors and their component representation, and can treat complicated vector formula |
| Class 2 | Determinant | Understand properties of the determinant and can calculate the determinant of any matrix |
| Class 3 | Matrix algebra | Can calculate inverse matrix Understand properties of orthogonal matrix |
| Class 4 | Eigenvalue problem | Can calculate eigenvalues and eigen vectors |
| Class 5 | Orthogonalization of matrix | Can orthogonalize matrix and can apply to orthogonalization of quadratic form |
| Class 6 | Linear operator algebra | Understand the relationship between linear operators and matrixes |
| Class 7 | Application to quantum mechanics | Understand differences between wave functions and state vectors |
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 reports for the every lecture.
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
- CHM.C333 ： Molecular Structural Science
- CHM.B333 ： Crystal Chemistry
Prerequisites
None