Math 4A03

As decided in class, I will hold office hours on Thursday Dec 13th from 2–4pm and on Friday Dec 14th from 10am-1pm.

All the practice problems are now posted.

For the intro on Lebesgue Theory I am doing, the following book gives a nice overview: Bartle, The Elements of Integration and Lebesgue Measure, by Wiley Classics Library.

I will hold an extra office hour today Wednesday Nov 21st at 12:15.

The following list of formulae will be available on the First Page of the Test: formulae

The material for Test #3 will be everything from Test #2, including the Approximation of the Identity approach, up to Fourier Series. In terms of the “plan”, it is from the class of October 23rd (for the Approximation of the Identity approach) to the class of Monday November 29th. (It does not include the “fun” stuff on Euler’s approximation/Peano’s theorem.) It includes the topics covered from chapters 11 and 15, the notes on  the Approximation of the Identity (for Weierstrass approximation theorem,) the class materials and examples, and everything posted on the website including (of course) the practice problems.

Sang Woo Park, a fellow classmate in Math 4A03, is taking his notes on his computer and he has nicely offered to make them available. You can find them on his website at: https://parksw3.github.io/course_notes/math_4a03_lecture_notes.pdf

Here are some notes on Euler’s approximation/Peano’s thm presented in class: Peano_page1:2 Peano_page3:4

I will hold an extra office hour Friday Oct 26th from 1:30-3pm as announced in class.

The material for Test #2 will be everything from  Test #1 until and including the Weierstrass Approximation Theorem via the Approximation of the Identity approach. In terms of the “plan”, it is from the class of September 24th to the class of Thursday Oct 25th. (It does not include the “fun” stuff on nowhere differentiable functions.) It includes the topics covered from chapters 7–11, the class materials and examples, and everything posted on the website including (of course) the practice problems.