Spring 2014: Math 131A section 6

Analysis


Class: MWF at 1pm in MS 5137

Instructor: Inwon Kim

Office hours: Monday and Wednesdays 2-3pm or by appointment in MS 7620E


Discussion section: T at 1pm in MS 5137.

TA: Jeff T. Lin

TA Office hours: Fridays 2:30-3:30pm in MS 3919.


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: It will be the maximum of either

Homework 10%, final 50%, midterms 40% (20% each)

or

Homework 10%, final 65%,  midterm 25%.


*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 the Thursday's TA section, beginning April 10th. 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. 



Midterms: There will be two in-class midterms: 

                                 April 25th, on Sections 1 - 10 and May 23rd, on Sections 11, 12, 14,15, 17-20, 28. 

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


Practice Midterm I


Practice Midterm II


Practice Final


Final Exam: June 12th, 11:30am-2:30pm. Comprehensive.



Homework problems


 Homework 1, due 4/8

                                       

Homework 2, due 4/15


Homework 3, due 4/22


Homework 4, due  5/6


Homework 5, due 5/13


Homework 6, due 5/20


Homework 7, due 6/3


Suggested problems on section 32-33: 32.2, 32.4, 32.6, 33.4, 33,7, 33.11.