Book:
Coursebook: Mary L. Boas: "Mathematical Methods in the Physical Sciences". (3rd edition!).
Syllabus (pensum)
NORWEGIAN:
Pensum er f?rst og fremst bestemt av det stoffet som gjennomg?s p? forelesningene og gruppene. Det dekkes i hovedsak av f?lgende deler av l?reboken: Kompleks analyse: Kap.2, 2.6-2.16, Kap.14, 14.1-14.8. Ordin?re diff. ligninger: Kap.8, 8.1-8.7, 8.12, Kap.12, 12.1-12.2, 12.11-12.12, 12.21. Fourierrekker: Kap.7, 7.1-7.11. Integraltransformasjoner: Kap.7, 7.12, Kap.8, 8.8-8.11. Tensorer: Kap.10, 10.1-10.7. Partielle diff.ligninger: Hele kap.13. Variasjonsregning: Kap.9: 9.1-9.5. Ortogonale funksjoner: Forelesningsnotat
Flere utfyllende forelesningsnotat, spesielt om diffligninger, vil legges ut underveis.
Korte sammendrag av forelesningene legges ut p? nett hver uke.
ENGLISH:
The course material is primarily defined by the lectures and problems. It is fairly well covered by the following chapters in the book:
* Complex analysis -- Ch.2, 2.6-2.16, Ch.14, 14.1-14.8.
* Ordinary differential eqs: Ch.8, 8.1-8.7, 8.12, Ch.12, 12.1-12.2, 12.11-12.12, 12.21.
* Fourier series: Ch.7, 7.1-7.11
* Integral transformations: Ch.7, 7.12, Ch.8, 8.8-8.11.
* Tensors: Ch.10, 10.1-10.7
* Partial differential eqs: All of chapter 13
* Variational calculus: Ch. 9, 9.1-9.5
* Orthogonal functions: Lecture note
* Several additional lecture notes will be made available during the course, in particular on differential equations
?* Short summaries of the lectures are made available on the course web page every week.