Messages

I have rewritten the last paragraph before Theorem 6.4.1, rewritten the proof of Proposition 6.5.4, and added Problems 6.1 and 6.2.

Here are the solutions.

I have added Section 6.5, one paragraph on page 108, and figures on pages 97 and 109.

I have added Sections 6.1 - 6.4 and corrected the definition of "smooth region" in Section 5.6.

I have added Section 5.6.

I have added Section 5.5 and more material in Section 5.3.

I have added Sections 5.1 - 5.4.

I have added Section 4.6.

I have added Section 4.5 and corrected the definition of "variation of a curve" in Section 4.3.

I have added Section 4.4, the definitions of meridians and parallels in Section 2.5, and Example 3.4.1 (which was discussed in the lectures).

Here are the assignment problems.  The solutions should be submitted through Canvas by Thursday the 31th October at 14:30.

I have added Section 4.3.

I have added Sections 4.1 and 4.2.

I have added Sections 3.4 - 3.7.

The exam will be oral, and it will be held on the 2nd and (if needed) 3rd December.

I have added Sections 3.1 - 3.3.

Completed Chapter 2 except for some surface plots that will be added later.

There are now some problems for Chapter 2.

I have added Lemma 1.6.1, revised the proof of Proposition 1.6.1, and added Sections 2.4 and 2.5.

The assignment problems will be posted no later than the 17th October and the solutions should be returned through Canvas by the 31st October.

Added Problem 1.9.

I have added Sections 2.1 and 2.2, some material at the end of Section 1.6, and definitions of "codimension" and "hypersurface" on page 7.

I have made minor corrections in the previously published material and added Section 1.6 and Problem 1.9.

I am very sorry that I have had to cancel this week's lectures, but I do expect to be back on Tuesday next week. Meanwhile, you can take a look at the first sections of the lecture notes.

The first chapter of the lecture notes is now available. The notes will be expanded throughout the semester.