Book:
Coursebook: Mary L. Boas: "Mathematical Methods in the Physical Sciences". (3rd edition!).
Syllabus (pensum)
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, 14.1-14.7 (except examples 5 and 6 in 14.7).
* Tensors: Ch.10, 10.1-10.7
* Partial differential eqs: All of chapter 13
* Ordinary differential eqs: Lecture note (See also 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.
* Variational calculus: Ch. 9, 9.1-9.5
* Orthogonal functions: Lecture note
* Several additional lecture notes will be made available during the course
?* Short summaries of the lectures are made available on the course web page every week.