Math 20E Syllabus
Math 20C (or Math 21C) or Math 31BH with a grade of C- or better.
Change of variable in multiple integrals, Jacobian, Line integrals, Green's theorem, Vector fields, gradient fiells, divergence, curl,
Spherical and cylindrical cooridnates, Taylor series in several variables, Surface integrals, Stoke's theorem, Consevative fields.
Textbook: Vector Calculus, sixth edition, by Jerrold E. Marsden and Anthony J. Tromba; published by
W. H. Freeman and Company; 2012.
You are responsible for
all material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your
understanding of concepts discussed in the lecture.
Material Covered: We will cover parts of chapters 4, 5, 6, 7, and 8 of the text.
A list of the topics scheduled to be covered can be found
Reading the sections of the textbook corresponding to the assigned homework exercises is
considered part of the homework assignment.
You are responsible for material in the assigned reading whether or not it is discussed in
Piazza: The TAs and I will be offering help on Piazza Monday-Friday.
Only comments/questions pertaining to the mathematical content of the course are allowed.
Any postings that do not meet this criteria will be deleted and Piazza privileges may be removed.
As a diverse community of learners, students must strive to work together in a setting of civility, tolerance, and respect for each other and for the instructor.
Conflicting opinions among members of a class are to be respected and responded to in a professional manner.
There are to be no offensive comments or language.
Homework: As you are aware, you must learn math by doing math. You should try your best to work carefully on
every assignment and complete every problem.
- Homework will be assigned on the course this page and must be completed by the indicated due date.
- Homework should be submitted on Gradescope.
This video show you how to submit a variable length assignment as a student of a course on Gradescope.
- Late assignments will not be accepted. Your cumulative homework grade will be based on the best 8 of the 9.
- Selected problems on the assignment will be graded. While your work will be graded for correctness,
keep in mind that presentation and organization directly affect your grader.
- Watching someone else do a problem or "understanding" the solution in a Solutions Manual
does not indicate mastery - you must be able to begin a solution on your own and carry it to completion without help before you can claim mastery of that problem.
Ask questions during office hours about homework problems that have caused you difficulty and indicate what attempts you have made to solve the problems.
A thorough understanding of the homework problems and their solutions will prepare you well for the midterm exams and the final exam.
Exams: There will be two midterm exams and a final exam. The exact dates of the midterm and final exams can be found
- Unless otherwise permitted explicitly in the instructions, you can one 8.5 x 11 inch sheet of handwritten notes.
- Please bring your student ID to the exam. There are no make-up or retake exams.
- You should not enroll in the class if you cannot attend the final exam at its scheduled time.
- You must pass the final exam (>59%) in order to pass the class. The actual required percentage may be lowered depending on the overall class performance.
- Students suspected of academic dishonesty will have a follow up Zoom oral meeting about the exam with me. AI violations will be taken seriously, and will have serious consequences.
- All students must have a device (labtop/surface/smartphone) with internet access that can run zoom and a private location so that they can be proctored on exams.
Grading: There are two methods to determine your course grade:
- Method 1: 25% Homework, 20% Midterm Exam I, 20% Midterm Exam II, 35% Final Exam
- Method 2: 30% Homework, 25% Best Midterm Exam, 45% Final Exam
Your grade will be computed using both methods and then the better grade will be used. If you miss a midterm exam for any
reason, then your course grade will be computed using Method 2.
After your weighted average is calculated,
letter grades will be assigned based on the standard grading scale:
We may adjust the scale to be more lenient,
but we guarantee that the grade corresponding to a given percentage
will not be lower than specified by the above scale.
There will be no curve,
but we may adjust the scale to be more lenient (depending on the
performance of the class).
Please notice that outside factors,
including the need for a certain grade for admission/retention in any
academic program, scholarship or transfer credit, graduation
requirements or personal desire for a specific grade DO NOT appear in
the above calculations, and thus are not considered in any way in the
determination of your course grade. Effort, improvement, class participation will all dramatically improve your grade in
the course in that they will allow you to do well on exams,
and the final exam. They will NOT, however, actively participate in the
calculation of your course grade.
Regrades: Your exams will be graded using Gradescope.
You will be able to request a regrade via Gradescope for a specified window of time.
Be sure to make your request within the specified window of time; no regrade requests
will be accepted after the deadline.
Academic Dishonesty: Academic dishonesty is considered a serious offense at UCSD.
Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university.
It is in your best interest to maintain your academic integrity.
(Click here for more information.)
Accommodations: Students requesting accommodations and services due to a disability for
this course need to provide a current Authorization for Accommodation (AFA) letter issued by the Office for
Students with Disabilities (OSD) , prior to eligibility for requests. Receipt of AFAs in advance is necessary
for appropriate planning for the provision of reasonable accommodations. OSD Academic Liaisons also need to
receive current AFA letters.
Note: When emailing the instructor,
you must include "MATH20E" in the subject line.
I would like to thank the previous instructors of Math 20E
for providing their course webpages and exams available for public.
Ko Woon Um (