2016 Mathematics for Chemistry I

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Academic unit or major
Undergraduate major in Chemistry
Okimoto Yoichi 
Class Format
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Course description and aims

This is a lecture of mathematics (differential equations, special functions and vector analysis, 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.


differential equations, special function, vector analysis

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 partial differential equations Can solve boundary problem of partial differential equations
Class 2 Application of differential equations to chemistry Apply partial differential equations to chemistry
Class 3 special function Can solve partial differential equations with special functions
Class 4 Application of special functions to chemistry Apply properties of special functions to chemistry
Class 5 vector analysis Can calculate with various derivative operators
Class 6 derivative and integration of vector field Can calculate derivative or integrate a vector field
Class 7 Application of calculation of vector field to chemistry Apply calculation techniques of vector field to chemistry
Class 8 Application of mathematics to chemistry Apply obtained knowledge of mathematics to chemistry


Mathematics for physics by M .Wadachi

Reference books, course materials, etc.

Fundamental quantum chemistry by K. Obi and K .Shibuya

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.C332 : Quantum Chemistry
  • LAS.C105 : Basic Quantum Chemistry

Prerequisites (i.e., required knowledge, skills, courses, etc.)


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