Math 0350: Honors Calculus

Instructor:

Junehyuk Jung (Assistant professor)


Class meeting:

TTh 2:30-3:50 PM (Course offered online, both synchronously and asynchronously)


Office Hour:

W 3-5PM or by appointments


Problem sessions:

M 7-8PM (Josiah Lim) Zoom Link


Preferred contact:

junehyuk_jung@brown.edu


Website:

https://sites.google.com/brown.edu/junehyuk

Canvas

Gradescope (How to submit assignments on gradescope)


Textbook:

Vector Calculus - Marsden and Tromba (6th edition)


Prerequisites:

Students entering math 350 are required to master one-variable calculus at least at the level of AP calculus BC or math 100/170/190 at Brown. Linear algebra is not a prerequisite.


Reading and homework assignments:

The reading and homework assignments with due dates are listed in the following link. Homework is generally due on Tuesday.

No late homework is accepted in any circumstance.

Click here to view the assignments

Submissions are made through gradescope. If you have any questions regarding gradescope, please contact Josiah Lim


Exams

There will be two midterms and one final, which will take place synchronously using Zoom. Link to the exam will be provided via the chat function of Zoom. Details about the plan will be announced.


Blank lecture notes:

In order to help the online learning experience, a blank lecture note will be provided prior to each lecture through Canvas. It is optional, but I would recommend you to print it out and make it available before coming to the lecture.


Goals:

Math 0350 is the honors version of multivariable calculus. It is a fast-paced theoretically oriented course. We'll be covering lots of interesting material, but you should be prepared to spend a lot of time on this course. There will be challenging problems that require you to work hard, be frustrated, put them aside for a few hours or days, and then come back to them. You should work on each assignment before the next class. If you leave the problem sets until the last day before they're due, you're setting yourself up to do poorly in this class.

Calculus is a very important subject, both for its use in theoretical mathematics and for it applicability in the real world. So the computational side of calculus is quite important, but due to time constraints, computations will not be the primary focus of the lectures in this course. Homework sets will consist of two different sorts of problems. Some problems will be theoretical, and you'll learn to construct your own proofs. These will generally build on material that we've covered in class. Other problems will ask you to gain familiarity with computational aspects of the subject that we discuss only briefly in class.

The ultimate goal is to master, with conceptual depth, the differential and integral calculus in several variables and the key theorems of vector analysis in dimensions 2 and 3.


Grading:

The grade will be based on 10 homework assignments (20%), 2 midterms(20% each), 1 final(40%)

A total score of 60% or more guarantees a pass.

A total score of 90% or more guarantees an A, a score of 80% or more a B, 70% or more a C.


Collaboration policy:

You may discuss material and ideas required for homework with other students or get help as discussed below, but this homework is done primarily on your own and the solutions must be written by you alone. If you work with someone else you must indicate that person's name. These assignments are graded by a grader, returned to you, and grades reported on Canvas at the appropriate time.

Allowed help resources are: (a) my office hours (b) our teaching assistant, and (3) the math resource center in Kassar House. You may not consult the internet for homework solutions.


Credit hours and estimate of work load.

Expect 12 weekly hours over 12 weeks of class + reading + assignments + self study. 50 hours of exam preparation (midterms+final). 194 hours in total.


Accommodations for students with disabilities.

Brown University is committed to full inclusion of all students. Please inform me early in the term if you may require accommodations or modification of any of course procedures. You may speak with me after class, during office hours, or by appointment. If you need accommodations around online learning or in classroom accommodations, please be sure to reach out to Student Accessibility Services (SAS) for their assistance (seas@brown.edu, 401-863-9588). Students in need of short-term academic advice or support can contact one of the deans in The College.


Remote learning.

Possibly several members of the class are not going to be on campus. I am confident everybody will have a full opportunity to learn the material. Beyond that, I will make every effort to make everybody's experience as fulfilling as possible, especially in creating a community of mathematicians working together towards common goals, whether or not you are taking the course remotely.

I will respond to situation changes in line with university and state guidelines.


Other resources.

Especially during this period it is important to care for one's well-being. The university has resources available, to all students, in particular CAPS, the college, the graduate school, and in our department the directors of undergraduate and graduate studies.