Mathematics 554H

Analysis I

Instructor:

Ralph Howard

• Office: LC 304
• Phone: 777-7471
• E-mail: howard@math.sc.edu
• Office Hours: TTh 2:30pm - 3:30pm and by appointment.
• Syllabus This includes all dates of the midterm exams and how grades will be assigned.

Text:

The main source will be my Notes on Analysis, An affordable text with the same point of view is Introduction to Analysis by Maxwell Rosenlicht.

Links to previous Math 554 classes:

• Spring 2021
• Fall 2018
• Fall 2016
• Fall 2013
• Fall 2012

Notes:

• Notes on Analysis,
• Construction of the real numbers These notes give prove the existence and uniqueness of an ordered field with the least upper bound property.

Tests:

Test 1
Test 2

Homework:

Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 7 Solutions to some of these problems.
Homework 8
Homework 9
Homework 10
Homework 11
Homework 12
Homework 13
Homework 14
Homework 15
Homework 16
Homework 17
Homework 18