Introduction to Real Analysis I (311H)

Information regarding the course in the course catalog

All up to date information can be found on the Course Webpage on Sakai.

Time and Place:
– Lectures are Tue/Fri, 12:00 – 1:20 PM at Lucy Stone Hall (B269), Livingston Campus
– Workshop is Wed, 12:00 – 1:20 PM at Lucy Stone Hall (B205), Livingston Campus

Office hours:
– Dr. Annegret Burtscher (Instructor): Tue/Fri, 10:20 – 11:40 AM, LSH B-Wing 102D, and by appointment in Hill 226
Anthony Zaleski (Workshop Instructor): Tue, 3:00 – 4:00 PM, Hill 512

Content: We develop the rigorous foundations of calculus by giving formal definitions and proofs. The fundamental objects will be the real numbers, sequences and limits thereof as well as continuous and differentiable functions in one variable. The main aim of the workshop and homework assignments is to rehearse these concepts and learn how to develop and write up proofs of your own.

Textbook: We will cover the chapters 1–6 of the following textbook:
Stephen Abbott, Understanding Analysis, 2nd edition, Springer New York, 2015.

Course goals and exams (from course catalog):

  • Strengthening student’s understanding of
    the results of calculus and the basis for their validity
    the uses of deductive reasoning
  • Increasing the student’s ability to
    understand definitions
    understand proofs
    analyze conjectures
    find counter-examples to false statements,
    construct proofs of true statements

Homework: Homework problems will be assigned each weak, and are to be handed in at the beginning of the Tuesday lecture the following week. The lowest score will be dropped, late homework will not be accepted.

Workshop: The first 15-30 minutes will be spend on discussing the homework problems. In the remaining time you will be asked to solve new problems in small groups. One of these problems will be assigned and is due at the beginning of the next workshop. Workshops are an integral part of the course, on-time attendance and participation are mandatory. Points are given for correctness and presentation. Again, the lowest score will be dropped and late submissions are not allowed. More than one unexcused absence will affect your grade.

Academic Integrity: You will work cooperatively on the workshop problems and are also encouraged to discuss the homework assignments with your fellow students and the instructors. The solutions, however, have to be written up independently by each student and must be expressed in her/his own words. Citations must be provided for external input such as books, web pages etc. All students in the course are expected to be familiar with and abide by Rutgers’ Academic Integrity Policy. Failure to observe these rules and reasonable suspicion that a student has plagiarized, cheated etc. will be reported.

Exams: There will be two mid-term exams in class on Tuesday, October 10 and Friday, November 17. The final exam will be held on Thursday, December 21, 2017 at 8 – 11 AM. There will be no make-up for mid-term exams. Instead, in the case of a well-documented illness or emergency and in the case of a major outside commitment (with permission in advance only), the remaining two exams will count more proportionally. Unexcused and unjustified absence from a mid-term exam will lead to a score of 0 points. Make-up final exams are possible for justified absences only as per SAS Final Exam Policies.

Grading: The final grade will be based on the weighted average of homework, workshops and exams as follows:

  • Homework and Workshop ….. 20%
  • Mid-Term exams (20% each) ….. 40%
  • Final exam ….. 40%

Assignment 1 (due Sep 12)
Workshop 1 (Problem 4 is due Sep 13)

Further details and assignments are posted directly on Sakai.
Please contact me if you have any questions.

Rutgers is fully committed to compliance with the Americans with Disabilities Act. Policies and procedures are indicated at the Office of Disability Services (ODS). Students who wish to request special accommodations must present a Letter of Accommodations to the instructor as early in the term as possible.