MATH 103: Mathematical Explorations.  (3 credits)

For students who wish to experience how mathematical ideas naturally evolve. The homework consists of the students actively investigating mathematical ideas. The course emphasizes ideas and imagination as opposed to techniques and calculations. Some assessment is done through writing assignments. Topics vary depending on the instructor.

The course will explore and describe the different areas of mathematics, concentrating on the most beautiful, striking or controversial ideas and theorems in each area. In particular, we will discuss the concept of infinity, the geometry of space and the geometry of numbers, chaos and fractals, probability and uncertainty, among other topics. The course will emphasize the benefits of rigorous thinking and its applications.

• About the instructor.
  
• Basics: Textbook, Syllabus (Read it!), download Adobe Reader.
  
• Exams: Dates, Times and Rooms; Practice Exams, solutions.
  
• Schedule: Here you will find a tentative schedule for the course. The pace may vary.
  
• Homework: Assignments will be posted here.
• Advice.