This is a publicly available information page about this course.

Registered students can find complete information in the course Canvas site.

If you are registered for the course and do not have access to this site by August 25, please contact me at tyson@illinois.edu.

Course Information

Lecture Times and Location

MWF 10-10:50, 1047 Sidney Lu Mechanical Engineering Building

Course Instructor

Professor Jeremy Tyson

tyson@illinois.edu

104B Harker Hall

Required Text

Introduction to Analysis, M. Rosenlicht

Course Description

Math 424 is a rigorous treatment of real analysis. A major part of the course consists of the derivation of the basic results of first semester calculus (continuity, differentiation, and Riemann integration). The first half of the course develops a significant part of real analysis in the abstract setting of metric spaces. Topics which we will discuss include continuity, compactness, and connectedness. In the second half of the course we recapitulate calculus of a single real variable using the machinery of metric space analysis. We focus particularly on the interchange of limit operations.

This course is part of the Mathematics Honors Sequence. Eligibility for this section requires the approval of the Director of Undergraduate Programs in Mathematics.

Course Overview

We will quickly review Chapter 2 in the textbook. The bulk of the course will cover Chapters 3 through 8. There will be occasional handouts covering additional topics not found in the textbook.

Readings will be assigned for each class period. Each day of class discussion will presuppose familiarity with the material from the reading.

We make take more or less time on various chapters as circumstances dictate. A calendar of topics which have been discussed and sections of the textbook which have been covered will be kept on the Canvas site.

Grades

The final grade will be computed according to the following percentages:

• Weekly Homework: 20% (lowest score will be dropped)
• Quizzes (approximately 1-2 per month): 10% (lowest score will be dropped)
• Midterm exams 1 and 2: 20% each
• Final exam (date determined by the University): 30%

Final averages will not be curved down. For example, if your final average is 80% then your final grade is guaranteed to be some sort of “B”.

It is possible that final averages may be curved up. Information about grade distribution will be provided during the semester, and the precise function which assigns a letter grade to each percentage will be determined at the end of the course.

Academic Integrity

Students are expected to adhere to the policies of the University regarding academic integrity as described in https://studentcode/illinois.edu/article1/part4.

You are encouraged to work on the homework in groups, although each student must write and submit their own separate set of solutions. Please indicate on your submitted homework which other students you collaborated with, if any.

In no case should solutions be copied from other sources (e.g. from the internet or from other students).

All work on exams must be done independently.

Resources for students with disabilities

To obtain disability-related academic adjustments or auxiliary aids, students with disabilities should contact the course instructor and Disability Resources and Educational Services (DRES). To contact DRES, please visit 1207 S. Oak St., Champaign, call 333-4604, e-mail disability@illinois.edu or visit the DRES website.