This course provides lectures on mathematics (especially, vector analysis, eigen value problem, complex functions etc. ) indispensable for those who study chemistry.
The goal is to understand the meaning of each topic and to fully put them to use as tools for studying chemistry.
vector analysis, eigen value problem, functions of complex variables
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
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 | |
---|---|---|
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 |
”Mathematics for chemistry” by T. Fujikawa and K. Asakura
”Mathematics for chemistry” by T. Fujikawa and K. Asakura
Students' knowledge of basic topics of chemical mathematics covered in the course will be assessed by final exam.
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