• Professor: Eugene Lerman
• Office: 37 CAB
• Phone: (217) 244-9510
• email: lerman at illinois.edu (the best way to contact Eugene Lerman)
• Home page: http://lerman.web.illinois.edu/
• Course page: http://lerman.web.illinois.edu/424/s24/424s24.html
• Lecture notes page:  I plan to scan my lecture notes and post them here: http://lerman.web.illinois.edu/424/s24/424s24hw.html
• Office Hours: see my calender and/or by appointment
• Class meets:
  • Section B MWF  9 am, 163 Noyes Laboratory
• Prerequisites: Officially an honors section of MATH 347 or an honors section of MATH 416, and consent of the department. In practice, ability to understand and write proofs and a desire to work hard.

Text book: M. Rosenlicht, Introduction to Analysis, Dover.

Course Syllabus: (see https://math.illinois.edu/resources/department-resources/syllabus-math-424)
Continuity, compactness and completeness underlie much of modern mathematics and its applications.
The course develops these concepts in the metric space setting, after which the fundamentals of
calculus are rigorously established.

Chapter 1 - omit
Chapter 2 - The real number system (2 hours)
Chapter 3 - Metric spaces (9 hours)
Chapter 4 - Continuous functions (6 hours)
Chapter 5 - Differentiation (4 hours)
Chapter 6 - Riemann integration (8 hours)
Chapter 7 - Interchange of limit operations (6 hours)
Leeway, quizzes, and exams: 8 hours

• Homework: Homework problems are to be assigned once a week. They are due the following week. Late homework will be penalized. There are several reasons why I want the homework to be turned in on time. First of all, if you are not keeping up with the homework, you are not keeping up with the class, and then you may well get lost in the lectures. Secondly, it is hard to grade fairly the homework that is turned in late. The grader would have to keep careful track of the grading rubrics and so on. In short: late homework is bad for you and means more work for the grader.

  If you have questions about your homework score please take it up with the grader first. If you and the grader can't resolve the issue I will step in.

  If you have questions about the homework itself, please use  campuswire and/or see me in the office hours.  If you email me with a question about homework I may repost your question on campuswire and reply there.   This said, I haven't used campuswire before and it may take me a bit of time to figure out how to use it well.

• Attendance of lectures/discussions is expected.

• Exams: There will be  two midterms and a final. All exams will be closed book.

  The midterms will take place on  2/21 and 4/08 (the dates are not likely to change).

  The final, according to the non-combined final examination schedule is to take place on  Friday, May 3, 7pm-10pm.

  Requests for a make-up exam require a serious documentation and are rarely granted.

• Grade: The formula for the course grade is roughly as follows:
  • final exam = 35 %
  • 2 midterms at 20 % each = 40%
  • weekly homework = 25%
• The formula is not set in stone and I may deviate by a point or two in either direction.

Academic Integrity

Campus police safety information. Plus a one page handout

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Last modified: Fri January 16 15:00:12 CST 2024