Math 4001 Analysis II
Fall 2015
Instructor: Janos Englander.
Math 324, Phone: 2-4846, E-mail: firstname.lastname@colorado.edu
Lectures: MWF 03:00 PM - 03:50 PM
Grader: Xiaorong.Liu@Colorado.EDU
Office Hours: MF 11:30-12:30, or by appointment.
Text: Mathematical Analysis, Second Edition by Tom Apostol (Pearson). CLICK
Prerequisites: Math 3001 and MATH 3130.
Description: Provides a rigorous treatment of infinite series, sequences of functions, and an additional topic chosen later by the instructor (either the Lebesgue integral or Fourier analysis.
Grading:
Quizzes: 50% (lowest score dropped)
Midterm: 20%
Final: 30%
Midterm: October 16, in class
(Closed notes and closed book. No electronic devices permitted.)
Final: The final will consist of two parts:
--- a short in-class part, Closed notes and closed book, on the last day of class;
--- a longer take-home part, which will be open-book, open-note , and which YOU will have one week to complete.
Wednesday, December 9th: Take-home portion assigned. HERE It is
Friday, December 11th: In-class portion during normal class hours.
Wednesday, December 16th: Take-home portion due.
The take-home portion will be dropped off between 1:30 and 4:00 on the 16th, by some method of submission, agreed on later.
Eating/drinking policy:
That is fine.
Texting Policy:
No texting.
Homework sets
(Numbers refer to textbook.)
HW 1
(Quiz will be on 9/4):
8.4, 8.5, 8.6, 8.8
HW 2
(Quiz will be on 9/11):
8.15 (g), 8.23, 8.24, 8.26
HW3
(Quiz will be on 9/18):
8.30, 8.35 (Section 8.27 has more on the zeta-function), 8.37, 8.42
HW4
9.1, 9.2, 9.3, 9.4
HW5
9.5, 9.6, 9.12, 9.16
HW6
9.18, 9.22, 9.23, 9.27
HW7
9.30, 9.31, 9.33, 9.34
HW8
10.1, 10.2, 10.3, 10.4
HW9
10.5, 10.6, 10.8, 10.11
(Quiz postponed until after the break)
Why all `Leibniz’ conditions are necessary:
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