This is a copy of the original webpage for this course, which I taught at MSU in 2017. All of the contact information below is out of date.

Math 320, Section 3: Analysis I

Fall 2017

Instructor: Kristen Hendricks
Office: D320 Wells
Office Hours: W 9-10, Th 3-4
E-Mail: hendricks at math .msu .edu

A printable copy of the syllabus is here. Most course content lives both on this website and on the course webpage on D2L.

Location and Time

MWF 12:40-1:30 in A336 Wells Hall.

Content

This course is a rigorous introduction to analysis on the real line, and covers sequences, limits, continuity, convergence of functions, and derivatives. It will focus on building skills for reading and writing proofs.

Textbook

Ross, Elementary Analysis: The Theory of Calculus. Springer 1980. Second Edition. This textbook is available for free through MSU libraries here.

Prerequisites

(MTH 133 or MTH 153H or LB 119) and (MTH 299 or MTH 317H or approval of department).


Homework

Homework will be assigned weekly and due at the beginning of Friday’s lecture. There will be thirteen homeworks. (There will not be a homework due the week of Thanksgiving.) No late homework will be accepted. Homework will not be accepted electronically. However, your lowest two homework scores will be dropped when computing your grade.

Typically three homework problems will be graded carefully, and some points will be given for completeness of the rest of the assignment. Full homework solutions will be posted online promptly.

You are encouraged to work in groups on your homework; this is generally beneficial to your understanding and helps you learn how to communicate clearly about mathematics. However, you must write up all solutions yourself. Moreover, since crediting your collaborators is an important element of academic ethics, you should write down with whom you worked at the top of each assignment. You should also cite any other sources other than lecture and the textbook (another book, a blog about analysis, etc) you use.

Quizzes

There will be two short in-class quizzes at the beginning of lecture on Monday, September 18 and Monday, October 30. There will not be any make-up quizzes except in extreme and documented circumstances.

Exams

There will be two in-class midterms on Monday, October 9 and Monday, November 20. There will also be a final exam Tuesday, December 12, 12:45-2:45 p.m. There will be not be any make-up exams except in extreme and documented circumstances. Note that department policy forbids early final exams for any reason.

Grading

Grades will be computed as follows:

A reasonable curve will be applied to the composite numerical scores. In past iterations of this class, typically about half of the class has received a grade of 3.5 or above.

Schedule

We will cover Sections 1-4, 7-12, 14-15, 17-20, 23-25, and 28-30 of Ross, essentially linearly. Precise reading for each week will be provided as the course goes on. You will get the most out of lecture if you do the reading before coming to class.


Homeworks

Homework 1 (Due September 8). Solutions.

Homework 2 (Due September 15). Solutions.

Homework 3 (Due September 22). Solutions.

Homework 4 (Due September 29). Solutions.

Homework 5 (Due October 6). Solutions.

Homework 6 (Due October 13). Solutions.

Homework 7 (Due October 20). Solutions.

Homework 8 (Due October 27). Solutions.

Homework 9 (Due November 3). Solutions.

Homework 10 (Due November 10). Solutions.

Homework 11 (Due November 17). Solutions.

Homework 12 (Due December 1).Solutions.

Homework 13 (Due December 8).Solutions.

Quizzes and Exams

Solutions to Quiz 1.

Sample Midterm 1. Solutions.

Midterm 1. Solutions.

Solutions to Quiz 2.

Sample Midterm 2. Solutions.

Sample Final. Solutions.