Math 214 Advanced Calculus II Home Page |
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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.