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Jincheng Yang

Johns Hopkins University

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Research Blog

Contact

Contact

Instructor: Dr. Jincheng Yang

Office: Wyman S429

E-mail: jincheng@jhu.edu

Canvas messages are preferred.

Teaching assistant: Matheau Santana-Gijzen

E-mail: msanta11@jhu.edu

Schedule

Lecture: TTh 6:00 PM - 7:15 PM @ Shaffer 306

Office Hour: Th 3:00 PM - 4:00 PM @ Wyman S429

Discussion section: T 10:30 AM - 11:20 AM @ Bloomberg 168

TA Office Hour: T 12:00 PM - 1:00 PM @ TBD

Course description

This course is designed to prepare students for the Real Analysis part of the introductory exam of the Department of Applied Mathematics and Statistics. In this course we will cover fundamental topics in real analysis, such as, Set Theory, Metric Spaces, Continuous Mappings, Uniform Convergence, Differentiable Mappings, Inverse & Implicit Function Theorems, and Integration Theory. The syllabus of the exam can be found here. Past exams can be found here.

Textbook

The textbook for the course is Elementary Classical Analysis, by J. E. Marsden and M. J. Hoffman (2nd edition). This book will be helpful to you as a reference and also as a source of practice problems.

Policies

Grading

The course will be graded based on attendance, homework, quizzes, exams, and class attendance.

  • Attendance: 2 pts
  • 7 homework: 3 pts each, 18 pts in total (the lowest score will be dropped)
  • 5 quizzes: 5 pts each, 20 pts in total (the lowest score will be dropped)
  • 1 midterm: 20 pts
  • 1 final exam: 40 pts

The course grade lines will be adjusted based on the distribution of scores in the course, but will be no more strict than the following:

  A: 91–100  A-: 87–90.99 B+: 83–87.99  B: 79–83.99   B-: 75–78.99   C+: 70–74.99 
  C: 65–69.99 C-: 60–64.99 D+: 55–59.99 D: 50–54.99  F: 0–49.99  

Homework

You can collaborate with your classmates in small study groups of up to 3 members. If you do so, please mark at the beginning of each assignment the full name of your collaborators. Each member still needs to submit their own solution. Homework submission will be in person. They need to be handwritten on specified blue books. I will collect homework at the beginning of the lecture.

Two late submissions can be accepted up to 48 hours without penalty. After 48 hours, submissions will not be accepted. 

Quizzes

We will have a small quiz roughly every other Thursday. To be more specific, quizzes and midterm dates are:

9/17, 10/1, 10/15, 10/29 (midterm), 11/12, 12/3

Each quiz will take 30 minutes.

The quizzes are open-book. You can refer to your notes, printouts, and textbooks, but no electronic devices are allowed.

Exams

We will have one midterm exam taking place on Oct. 29th. The midterm takes 75 minutes.

The final exam schedule is to be determined. The final exam takes 3 hours.

Both midterm and final exams are closed-book.

Ethics

The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Report any violations you witness to the instructor. You can also contact:

  • For undergraduates: the director of student conduct (or designee) by calling the Office of Student Conduct at (410) 516-2509 or via email at studentconduct@jhu.edu
  • For KSAS Graduate Students: rseitz5@jh.edu
  • For WSE Graduate Students: christinekavanagh@jhu.edu

Johns Hopkins takes academic honesty very seriously. Students are expected to be independently familiar with the university policy and to understand that their work in the course must be their own original work. Violations of the policy are taken seriously.

Using Generative Artificial Intelligence

You can use generative artificial intelligence tools (ChatGPT, New Bing, Gemini, etc.) to help you study. Find the learning strategy that best suits you. However, you have to complete your homework by yourself. This means you can never copy any answers from Chatbot or Copilot directly to your homework. You should learn, understand, internalize, and create your own solution. Rule of thumb: when you actually write down the solution to your homework, you should be able to answer an entire question with only your pen and pencil, without looking at a screen, as if this were in an exam.

For good and bad use of AI, see the attached departmental guideline. It contains useful prompts for AI-assisted learning. For our class in particular, I will suggest first doing things in the old-fashioned way, studying with your classmates, and making use of the office hours.

Personal Wellbeing

  • Because of ongoing COVID-19 concerns, special requirements may be in effect this term, and these may vary during the term. Please keep updated with these at the following sites:
  • COVID-19 vaccination a required unless an exception has been granted by the university for health or religious reasons.
  • If you are sick please notify me by email so that we can make appropriate accommodations should this affect your ability to attend class, complete assignments, or participate in assessments. The Student Health and Wellness Center is open and operational for primary care needs. If you would like to speak with a medical provider, please call (410) 516-8270, and staff will determine an appropriate course of action. See also student affair website.
  • Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Students with disabilities (including those with psychological conditions, medical conditions, and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements. For further information or to start the process of requesting accommodations, please contact Student Disability Services at Homewood Campus, Shaffer Hall 101, call: (410) 516-4720 and email: studentdisabilityservices@jhu.edu or visit the website.
  • If you are struggling with anxiety, stress, depression, or other mental health related concerns, please consider visiting the JHU Counseling Center. If you are concerned about a friend, please encourage that person to seek out their services. The Counseling Center is located at 3003 North Charles Street in Suite S-200 and can be reached at (410) 516-8278 and online.
  • Student Outreach & Support helps students manage physical and mental health concerns, personal and family emergencies, financial issues, and other obstacles that may arise during their college experience. Students can self-refer or refer a friend who may need extra support or help getting connected to resources. To connect with SOS, please visit this website or email deanofstudents@jhu.edu, call (410) 516-7857, or students can schedule to meet with a Case Manager by visiting the Student Outreach & Support website and filling out a referral form online.

Policy on Incomplete Grades

The full policy is available here.

The significant component of this policy is that there is an Incomplete Grade Contract available to students in SIS to request an incomplete grade. This is how all incomplete grades must be initiated. Another significant component is the timeline for completion of an incomplete grade for undergraduate students, which is 45 calendar days after the last day of classes. For graduate students, the deadline is the end of the third week of classes of the following semester. See the full catalogue entry for considerations for students on academic probation and graduating students.

Deadlines for Adding, Dropping and Withdrawing from Courses can be found here.

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