Spring 2018: Math 131BH

Honors Analysis 

Class: MWF, 10am-10:50am at MS 6627.

Instructor: Inwon Kim

Office hours: MW 3-4pm and F 1-2pm in MS 7921

This course is an honors-level introduction to real analysis. Real analysis is the theoretical foundation which underlies calculus. Many of the subjects we will be discussing will be familiar to you 

from previous calculus classes, however the emphasis is quite different here. While calculus classes focuses on computational aspects, in this class we will focus 

on the underlying theory and mathematical rigor. The goal is to understand mathematical concepts  and to construct careful mathematical arguments to prove 

properties about them. 

Text: Principles of Mathematical Analysis (3rd edition) by W. Rudin. Continuing from last quarter, we will cover Chapter 5- 8 and some of Chapter 9 as time permits. 

Prerequisite: Mathematics 131AH (consult with me if you took 131A), 115 (only for multivariable functions appearing later in the quarter).

Discussion section: W at 11am in MS 6229

TA:  Dohyun Kwon

TA Office hours: TBA

Attendance to discussion section, as well as active participation, is strongly encouraged: the section will give you an opportunity to discuss proofs of problems in different aspects, broadening one's point of view.

Homework:  Homeworks will be posted below on thursdays and is due on every wednesday, starting from April 11th. We will drop one lowest homework score.

 In this class you will be required to write precise mathematical statements in a clear logical order, and present pictures or examples as necessary to illustrate

  your work. Acquiring these skills is impossible without a steady practice: it is essential that you do the homework problems carefully and promptly.  

  You may discuss homework problems with other students, the TA or me before they are turned in.  I do expect though that: (i) you should make a serious effort 

  to do the exercise yourself before  discussing it with anyone, and (ii) you should write up the solution yourself after understanding it thoroughly, without following 

 someone else's written version. Otherwise homework will not help you to prepare for the exams.  Identical solutions to a source will get zero credit.

Exam: There will be one midterm, on Wednesday, May 9th, in class.  The final exam is on Thursday, June 14th 2018, 8-11am. There will be no make-up exam.

Grading: Final (50%), midterm(30%) and homework (20%).

Homework: 

Homework 1 is Here (Due 4/11)

Homework 2 is Here (Due 4/18)

Homework 3 is Here (Due 4/25)

Homework 4 is Here (Due 5/2)

Homework 5 is Here (Due 5/9)

Homework 6 is Here (Due 5/16)

Homework 7 is Here  (Due 5/23)

Homework 8 is Here (Due 6/1)

Homework 9 is Here (Due 6/8)