The 4 hours of weekly lectures typically consist of: Brief review of previous lectures, introduction to new concepts, historical and philosophical links where appropriate, discussion and questions by the instructor and the students, exercises and applications of increasing difficulty, problem solving with the active participation of students. Emphasis is placed on modern extensions and applications of the course material. Lectures are delivered mostly on the blackboard, allowing for better comprehension, while descriptive elements or graphics are projected on a screen via a PC. Certain complex problems, whole quantitative investigation necessitates a numerical approach, are addressed interactively via the computer software Mathematica. For each of the homework sets handed out during the semester, students are given one week's time to explore questions and problems of increasing difficulty. Students are encouraged to collaborate in their homeworks; however, each student much prepare their own writeup of the answers. Past homeworks and exams, along with suggested solution sets, are uploaded on the course's website, and discussed in preparatory lectures before the final exam.
