Math 214 Advanced Calculus II Home Page
Further links concerning this course will be given here
Syllabus

Try the Mathematics History archive at Index of Biographies and read about the mathematicians whose works we will learn this semester. They include, in the order their names appear in the book, Jacobi, Taylor, Jordan, Riemann, Fubini, Urysohn, Dini, Mobius, Green, Gauss, Stokes, Fourier, Fejer, Weierstrass, Lebesgue, Bessel, Parseval, Tauber, Cesaro, Hardy, Dirichlet, Cantor, Poincare.

What to learn from these biographies? When I read these biographies I find out that these men worked on specific problems, believed that they can understand the underlying principles of the problem and worked sincerely towards a better understanding. I find out that mathematics is not only learning what others do but using what others do in solving problems, understanding and describing the inner workings of structures.
As Arf used to say: "Have a big problem in your mind and whatever you learn, first apply it to this problem." I later found out that it is better to have more than one problem in mind!

Here is a quotation from Jacobi: "Mathematics exists solely for the honour of the human mind."


The course schedule:

TUE 15:40-16:30 SAZ-19  
THU 10:40-12:30 SAZ-19

What is covered so far:
Week 1: Section 6.1
Week 2: Section 6.2
Week 3: Section 6.3, 6.4, 6.5
Week 4: Section 6.6
Week 5: Review
Midterm I: 17 March 2001 Saturday SAZ-18 13:00 Solutions.tex, Solutions.dvi.
Week 6: Section 7.1, 7.2
Week 7: Section 7.3, 7.4, 7.5
Week 8: Section 7.6, 8.1
Week 9: Section 8.2, 8.3, 8.4
Week 10: Section 8.5, 8.6
Midterm II: 21 April 2001 Saturday SAZ-18 13:00 Solutions.tex, Solutions.dvi.
Week 11: Section 10.1, 10.2
Week 12: Section 10.3
Week 13: Summary of Chapter 9
Week 14: No class. Recall that we already had 4 extra hours to cover the 3 hours of this week.
Final Exam: 1 June 2001 Friday SAZ-19 9:30 Solutions.tex, Solutions.dvi.