Introduction to Real Analysis

Attendance to all lectures and recitations is mandatory.

Technology is a double-edged sword. It is amazing and fantastic, and detrimental and distracting. We will use a lot of technology in this course. But during lecture, I ask that you disconnect from digital devices completely. Please take your phones out of your pockets, switch them to OFF (not just silent), and put them in your backpacks. Laptops, tablets, and other devices must also be put away.

Instead, please take notes with pen and paper. I promise the world will not end while you're off Snapchat for 80 minutes —- and you might be surprised by how much this helps your concentration. Just as importantly, it prevents you from inadvertently distracting those around you, and harming their educational opportunities.

This policy isn't about being old-fashioned; it's about creating an environment where deep mathematical thinking can flourish without the constant pull of notifications and screens. Technology is great (in fact, this whole paragraph, if not website, was written by AI), but it has a time and place.

Assignments

Homework assignments for Lecture N are posted by Lecture N+1 and are due by 7 am before Lecture N+2, submitted on Canvas. Late homework will not be accepted for any reason. Homework is 15% of your overall grade, and there are ~30 assignments, so each is about 0.5% of your grade.

Homework Policy

You are strongly encouraged to collaborate with other students on solving problems. You may also cheat (yourselves) as much as you want, including letting LLMs solve the problems for you, or just looking up the solutions in the source code. You will only be hurting yourself, as the purpose of the exercises (and the course) is to get good at solving Real Analysis problems (which is what will be tested on exams). When you are done figuring out how to solve the problems, and are ready to write up your final solutions, you must do so independently, and by hand (not typed). At the top of your first page, list the names of collaborators/websites/LLMs used. Take a scan of your solutions, and upload that to Canvas. Here is a sample homework writeup of a homework problem:

Quizzes

We will have a short, informal quiz in every lecture. Quizzes make up 15% of your overall grade, and there are ~30 quizzes, so each is about 0.5% of your grade.

Academic Integrity Resources

Student Absence Policy

Students are expected to attend all classes. For absences, use the University absence reporting website: https://sims.rutgers.edu/ssra/

Disability Accommodations

Full disability policies: http://disabilityservices.rutgers.edu/

Accommodation requests: http://disabilityservices.rutgers.edu/request.html