Math 32404: Course Information
Course Title: Advanced Calculus II
Prerequisites: Math 32300 and 34600.
Catalog Description: Sequences, continuity, compactness, completeness, differentiation and integration in R^n, implicit and inverse function theorems, line and surface integrals, theorems of Green, Gauss and Stokes.
Semester: Spring 2021.
Meeting time and place: MoWe 6:00 - 7:40pm on Blackboard Collaborate Ultra.
- Name: Prof. Pat Hooper
- Office Hours: Mondays and Tuesdays 1:30-2:30pm on any day classes meet via Zoom. Appointments are also accepted.
- Office: NAC 6/282
- Email: firstname.lastname@example.org
- Folland, Gerald B. Advanced Calculus, Pearson, 2002
- Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, 2nd edition, Springer, 2013.
- Charles C. Pugh, Real Mathematical Analysis, Springer, 2015.
The primary course textbook is the book by Folland.
The Pugh and Ross books are available for free download from the CCNY library through SpringerLink. Try the links above. Other textbooks and references may be added in the future, but will be free to students.
General expectations: This is a challenging course. This course requires prior understanding of Linear algebra, Multi-variable Calculus, and Advanced Calculus 1. It also requires a mastery of proof writing.
For each hour spent in the classroom, I expect you to spend at least three hours reading and understanding the book, understanding lecture notes, doing homework, and programming. Practice (doing problems, proofs, and programming) is an important part of learning. Only adequate practice will guarantee that you can complete midterm and final exam problems in a timely manner.
Expectations of written work: Mathematical proofs and calculations will be graded
partially on presentation. In order to receive full credit, a student who reads your answer
should be able to easily understand how you solved the problem. Written work is expected
to be legible and arguments are expected to be well articulated.
Grades will be computed from the following weighted average:
- Homework (10%)
- Classwork and Quizes (20%)
- Two Midterm Exams (15% each)
- Final Exam (40%)
Your final score will be tabulated out of 100% as indicated by the percentages above. A letter grade will be assigned to you according to the following list: A+ (97-100), A (95-96), A- (90-94), B+ (87-89), B (84-86), B- (80-83), C+ (77-79), C (74-76), C- (70-73), D (60-69), F (0-59).
Midterm exam: There will be two midterm exams. They will be held on Wed, Mar 3 and Mon, Apr 12. You will be given the full class to complete each midterm.
Final exam: The final exam will be held at a time determined by the college. As of the writing of this document, this time has not been determined.
Exams: Exams will take place on either Zoom or Blackboard Collaborate Ultra. Prof. Hooper reserves the right to spot check anyone's online exam results with a one-on-one oral exam/questioning.
Proctoring: This course may employ an online proctoring system for exams, which may require the use of a video camera.
Exam makeups: If a single midterm is missed under well-documented and sufficiently compelling circumstance will result in that grade not counting towards the course grade and the remainder of grades scaled up in value so as to make the total possible grade in the course 100%. (That is in the chart of percentages above, the percentages will be scalled by 100/85.)
If both midterms are missed under well-documented and sufficiently compelling circumstances, an offer of a makeup for the second midterm will be made. The makeup must be taken within one week of the scheduled exam, or a zero will be assigned as the exam grade.
Similarly if the final exam is missed under well-documented and sufficiently compelling circumstances, an offer of a makeup for the final exam will be made. The makeup must be taken within one week of the scheduled exam, or a zero will be assigned as the exam grade.
Notify me ahead of any exam you expect to miss to be sure your circumstances are sufficiently compelling.
Homework assignments: Homework will be assigned approximately once a week and will have a due date.
Homework assignments will be made available on the course website at least one week before the assignment is due.
I encourage you to work in groups on the homework problems, especially if this best suits your learning style. Nonetheless, you should be confident that you understand how to do each problem, and should be able to solve similar problems independently. Failure to ensure that you can solve problems independently will surely have a negative effect on exam grades.
Late homework: Late homework will not be accepted for any reason.
Quizzes: There will be regular quizzes to test that you are keeping up with the course.
Dropped grades: The lowest 20% of homework and quiz grades will be dropped (rounding up if necessary).
Course information, homework assignments, and documents can be found
on the website:
I use blackboard to keep track of your grades. You can view your grades
there. To access blackboard visit:
I will likely use blackboard collaborate for class meetings. Solutions to problem sets will be posted to blackboard.
Zoom: I have been using Zoom for office hours. A link will be sent by email.
Video lectures: Students who participate in this class with their camera on or use a profile image are agreeing to have their video or image recorded solely for the purpose of creating a record for students enrolled in the class to refer to, including those enrolled students who are unable to attend live. If you are unwilling to consent to have your profile or video image recorded, be sure to keep your camera off and do not use a profile image. Likewise, students who un-mute during class and participate orally are agreeing to have their voices recorded. If you are not willing to consent to have your voice recorded during class, you will need to keep your mute button activated and communicate exclusively using the “chat” feature, which allows students to type questions and comments live.
You are expected to adhere to the CUNY Policy on Academic Integrity. This policy is posted at
In particular, it is expected that you not plagarize. This has been especially problematic on homework. Your homework must not copy from another source, and you must cite any sources used when preparing your solutions. Sources can include textbooks, webpages, discussions with other people, and other student work. Citations should be as specific as possible. All submitted work must be written in your own words.