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2022　Mathematics for Chemistry I

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Academic unit or major
Undergraduate major in Chemistry
Instructor(s)
Ishiuchi Shun-Ichi 
Class Format
Lecture    (Livestream)
Media-enhanced courses
Day/Period(Room No.)
Tue3-4(H105)  
Group
-
Course number
CHM.A211
Credits
1
Academic year
2022
Offered quarter
1Q
Syllabus updated
2022/3/16
Lecture notes updated
-
Language used
Japanese
Access Index

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 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

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

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