Winter 2018: Math 131A section 2

Analysis


Class: MWF at 12pm in MS 6229


Instructor: Inwon Kim


Office hours: MW 3-4 and F 1-2 in MS 7905.


Discussion section: Thursdays at 12pm in MS 6229.


TA: Haofei Fan


TA Office hours: TBA


Attendance to discussion section, as well as active participation, is strongly encouraged. 


Textbook: 

K. A. Ross, Elementary Analysis: The Theory of Calculus,  Springer (required).


Prerequisites: Mathematics 32B and 33B


Material:  We will cover Sections 1 - 34 of the book, excluding the starred (*) sections. 

Mathematical rigor will be emphasized. 

The aim of this course is to learn how to formulate and write a correct mathematical proof.  

At the end of the course you should be able to derive every theorem in the course 

(with a few clearly indicated exceptions), from the axioms for the real numbers given in the first chapter. 


Grades:  Homework 15%, final 55%, midterm 30% 


In order to pass this class, you must take the final exam.


Homework: There will be weekly homework assignments. The lowest homework set score will be dropped.  

Homeworks will be assigned on this webpage one week prior to the due date. Homeworks will be due

at the beginning of Fridays, beginning January 19th. Homeworks will be returned on the discussion session. 


Working in groups are encouraged, but

to make the most out of the homework and to prepare for the exams you must (a) spend some time 

on each problem by yourself before discussing it with others and (b) write up your solutions by yourself. 



Midterm: In class, Friday  February 16th.

Some questions will ask for proofs of theorems from class.  No books, notes or calculators are allowed.

There will be no make-up exam.



Final Exam: March 21st, 8-11am. Comprehensive.



Homework problems


 Homework 1, due January 18th. 


Homework 2, due January 26th.     


Homework 3, due February 2nd.                                  


Homework 4, due February 9th.


Homework 5, due February 16th.


Homework 6, due March 2nd.


Homework 7, due March 9th.



Homework 8, due March 16th.