### 2016　Lecture on Mathematics for Chemistry

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Chemistry
Instructor(s)
Okimoto Yoichi
Class Format
Lecture
Media-enhanced courses
Day/Period(Room No.)
Tue1-2(H137)
Group
-
Course number
ZUC.A211
Credits
2
2016
Offered quarter
3-4Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This course provides lectures on mathematics (especially, vector analysis, eigen value problem, complex functions etc. ) indispensable for those who study chemistry.

### Student learning outcomes

The goal is to understand the meaning of each topic and to fully put them to use as tools for studying chemistry.

### Keywords

vector analysis, eigen value problem, functions of complex variables

### 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 the 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 derivative and integration of vector field Can differentiate and integrate vector field
Class 2 Green's theorem Understand Green's theorem
Class 3 Gauss's and Stokes' theorem Understand Gauss's and Stokes' theorem
Class 4 coordinate Understand the concept of the curve coordinate.
Class 5 observable and Hermite operator Understand observable and Hermite operator
Class 6 Dirac's δfunction Understand Dirac's δfunction
Class 7 Fourier series and Fourier transformation Understand Fourier series and Fourier transformation
Class 8 Observables Understand the concept of the observables
Class 9 angular momentum operator and spherical halmonics Understand angular momentum operator and spherical halmonics
Class 10 Analytic functions of complex variables Understand Analytic functions of complex variables
Class 11 Cauchy's integration theorem and formula Understand Cauchy's integration theorem and formula
Class 12 Residue theorem Understand Residue theorem and apply it to caluculation of some itegrations
Class 13 integral representation　of regular funcrion Understand integral representation　of regular funcrion
Class 14 Analytic continuation Understand analytic continuation
Class 15 distribution Understand distribution

### Textbook(s)

”Mathematics for chemistry” by T. Fujikawa and K. Asakura

### Reference books, course materials, etc.

”Mathematics for chemistry” by T. Fujikawa and K. Asakura

### Assessment criteria and methods

Students' knowledge of basic topics of chemical mathematics covered in the course will be assessed by final exam.

### Related courses

• CAP.B216 ： Physical Chemistry I (Thermodynamics)
• LST.A206 ： Physical Chemistry II
• LST.A211 ： Physical Chemistry III
• CHM.C332 ： Quantum Chemistry

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