Math 4001  Analysis II

Fall 2015


Instructor: Janos Englander.

Math 324, Phone: 2-4846, E-mail:

Lectures: MWF 03:00 PM - 03:50 PM

FLMG 102

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.


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



(Quiz will be on 9/18):

8.30, 8.35 (Section 8.27 has more on the zeta-function), 8.37, 8.42    




9.1, 9.2, 9.3, 9.4    



9.5, 9.6, 9.12, 9.16          



9.18, 9.22, 9.23, 9.27



9.30, 9.31, 9.33, 9.34



10.1, 10.2, 10.3, 10.4


10.5, 10.6, 10.8, 10.11

(Quiz postponed until after the break)

Why all `Leibniz’ conditions are necessary:


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