Ma 108a:  Classical Analysis (Fall 2016-17)

ANNOUNCEMENTS

Please Sign and Return Your FERPA Form!

Graded homework and quizzes will be returned to you in recitation section.  If for some reason you do not collect your classwork in recitation section, you have the option to pick up your graded work in the Section boxes located on the 2nd floor of Sloan.

However, due to the FERPA privacy regulations, we cannot place graded work in a public location, without your permission.

Please fill out the form below to indicate how you prefer your uncollected graded classwork to be handled.  Remember that the first opportunity to collect your work is in your recitation section.

Download this form, and return it, separately and unstapled, with your first homework assignment.

 

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COURSE DESCRIPTION

Many of the results encountered in calculus seem to follow common themes, even though they are usually formulated as different topics.  As an example think of the various notions of convergence typically discussed in a calculus class:  limits of a sequence of numbers, point-wise versus uniform convergence of sequences of functions, Riemann integrability etc.

The interrelation does become very clear when viewing the objects under consideration as elements of more abstract spaces equipped with some "notion of closeness" (topology).  The goal of this class is to develop some of the frameworks ("metric spaces") allowing for this more general point of view, which will naturally lead to many of the questions of classical real analysis.

The first term of Ma 108 covers the following topics in real analysis:


PREREQUISITES

Calculus of one and several variables.


SCHEDULE

MWF, 11:00 - 11:55, 151 Sloan.


INSTRUCTORS

Semra Demirel-Frank
HARRY BATEMAN RESEARCH INSTRUCTOR IN MATHEMATICS
174 Sloan
626-395-4354


TA's

Connor Meehan, Pooya Vahidi Ferdowsi


OFFICE HOURS

Semra Demirel-Frank: Monday 1-2pm
Connor Meehan: Wednesday 5pm (Sloan 153)
Pooya Vahidi Ferdowsi: Tuesday 5pm (Sloan 280)


POLICIES

Homework

Homework is worth 30% of the grade. Each problem set is worth the same, except your homework with the lowest score, which will be dropped.

Problem sets are available before Saturday evening on the class web page. They should be turned in on Thursday at 4:00 PM in the Math department's drop box for Math 108a. They will be available for pick-up on Wednesday in the Math department's pick-up box for Math 108a. Sample solutions will be available on the webpage after the due date.

No late work will be accepted or extensions granted. (In exchange your lowest homework score will be dropped.)

You are encouraged to discuss homework problems with one another, however the solutions must be written up in your own words.

Due to federal privacy policies, each assignment is to be submitted with a cover sheet, which carries nothing other than the student's name (first & last name).

Exams

There are two exams, a midterm and a final each worth 35% of the grade. The respective dates and times will be announced.  The final exam is cumulative.

The midterm and final exams are timed, non-collaborative, closed-text exams, the exact policy for which will be announced at that time.


TOPICS COVERED

TBA


TEXTBOOKS

Rudin, Walter, Principles of Mathematical Analysis, 3rd Edition, 1976, McGraw-Hill Science/Engineering/Math, ISBN:  007054235X.


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
6 October Set no. 1 Solution no. 1
13 October Set no. 2 Solution no. 2
20 October Set no. 3 Solution no. 3
27 October Set no. 4 Solution no. 4
10 November Set no. 5 Solution no. 5
3 November Midterm Midterm Solution
17 November Set no. 6 Solution no. 6
28 November Set no. 7, Part 1 Solution no. 7 Part 1
1 December Set no. 7, Part 2 Solution no. 7 Part 2

EXAMS

 


READING