Prerequisites:
Math 2204 (or Math 2406H or CMDA 2005)
The most important prerequisite material is: sketching curves (2D and 3D)
and surfaces.
If your knowledge on these topics is rusty, it's a good idea to
review these before we need them.
We need these throughout the whole semester.
Email:
Use your university email account (not through Canvas) to email me
pwappero@vt.edu
and for a timely response,
include `Math 3214' in the subject line.
Office Hours:
Tuesday 10:00-11:30am, Thursday 1:00-2:30pm.
If you have classes during these times, please make an appointment (email me
3 possible timeslots so that I can choose one that works for both).
Try to resolve minor issues at the end of class or by email (scan a pdf
of your work and indicate where you experience problems).
Come prepared to office hours:
Completely and carefully read all relevant assignment instructions and
associated notes and textbook sections.
Try to work out as much of the relevant assignment as possible.
Class meeting time:
MWF 1:25-2:15pm, McBryde 316
This is a face-to-face class and
you are expected to attend class.
Final Exam Time:
Friday May 9, 1:05-3:05pm
IMPORTANT:
The final exam is a required class meeting that will not be rescheduled
for discretionary reasons, including conflicts with work schedules,
with classes and exams at other colleges, and travel.
In particular, if you simultaneously take courses at NRCC, you need
to check at the beginning of the semester that they will not have a conflict
because the Math Department will NOT accommodate such a conflict.
Special needs:
Virginia Tech welcomes students with disabilities into the University's
educational programs. The University promotes efforts to provide equal
access and a culture of inclusion without altering the essential elements
of coursework. If you anticipate or experience academic barriers that may
be due to disability, including but not limited to, chronic medical
conditions, Deaf or hard of hearing, learning disability, mental health,
or vision impairment, please contact the Services for Students with
Disabilities (SSD) (540-231-3788, ssd@vt.edu,
or visit
www.ssd.vt.edu).
If you have an SSD accommodation letter, please make an appointment or
meet with me during office hours as early in the semester as
possible to discuss implementing your accommodations. You must give me
reasonable notice to implement your accommodations, which is generally
5 business days and 10 business days for final exams.
Text:
Vector calculus (6th Ed.) by Jerrold E. Marsden and Anthony J. Tromba.
Course contents and objectives
The main objective of the course is to develop mathematical skills and a good understanding
of the calculus of several variables, not on proving theorems.
The most important topics in the course are the change of variables formulas
(differentiation and integration),
the integration over paths and surfaces, and the theorems of Green, Stokes, and Gauss.
These theorems relate integrals over a region in multivariable space
to integrals over the boundary of that region.
The course contains brief reviews of several topics from Math 2204,
Intro Multivariable Calculus
that are needed to understand the more advanced topics in the course.
Grading
The numerative grade will be based upon
- Three tests: 20% each
- Final exam: 20%
- Homeworks: 20%
All graded work counts. No scores are dropped.
The course grade will be assigned as follows:
90 guarantees an A (not an A-)
80 guarantees at least a B (not a B-)
70 guarantees at least a C (not a C-)
60 guarantees at least a D (not a D-)
+ and - grades will be given as well.
Homework policy
Homework problems and due dates for homeworks will be posted on
my course website
.
-
Grading:
The lowest score on your HW assignments will be dropped. Thus if there are
11 HWs, the best 10 count towards your grade.
For the written homeworks, only selected problems will be graded
(partial credit). These problems will not be known
to students in advance. Except for problems selected for grading, homework
will not be marked.
IMPORTANT:
Submitted work should not only give the correct answer but also clearly
delineate the logic justifying the answer. Always include the formula
that you use.
No credit should be expected for correct
answers if no work is shown.
-
Submission:
A hard copy needs to be submitted by the announced deadline.
A paperclip is useful. If you
have an emergency, like illness, or travel, email a temporary electronic copy
(a pdf file, no links) to show you did the work in time. Then hand in
the hard copy when you return.
IMPORTANT: You are supposed to do the HW problems related to
the material discussed in class before the next class meeting.
Typically, you would be required to submit this part of the HWs in time,
even with an excuse for the last couple of days:
email me a pdf file of the completed work
and hand in
the original within one week of your return from an excused absence.
-
Late homework:
Homework that is handed in late is subject to a penalty (20 %) if it is
handed in before I return the HW.
Homework given after I returned the HW will be given a zero.
To avoid a penalty or zero grade for a late homework
you must show convincing evidence/documentation that you had no alternative.
Since homework problems are known well in advance, only a valid reason for
an absence of several days will be accepted as an excuse.
-
Allowed help on homeworks:
- You may use the answers at the back of the book to verify
your answers. You may also use the tables at the
back of the book, provided that you make a proper reference on written homeworks.
-
Students may consult the textbook and their notes for homework, and
students may get help with homework assignments from other students,
your 3214 instructor, and from
Tutoring Services.
-
Unallowed help on homeworks:
-
No calculators or other electronic devices are allowed for written homeworks.
This also means, for example, that searching for solutions on the internet is
NOT allowed.
-
Copying a solution from a solution manual, websites (Chegg, CoursHero, etc.)
or any other source is prohibited.
-
Using another person's solutions to the homework when writing up
an assignment is prohibited.
In writing up an assignment to be handed in, every student needs to work alone
(without other students or other students' papers). By handing in the homeworks,
a student certifies that what is written
accurately represents the student's own
understanding of the material expressed in the student's own words.
Test and exam policy
-
Format:
The tests and my final exam problems are in the style of the
homeworks and material discussed in class (theory and examples),
and are graded with partial credit.
All tests and exams are closed book and closed notes.
Consultation, calculators, and other electronic devices are not permitted
on tests and the final exam.
-
Missed tests:
If a test can not be taken as scheduled,
this should be communicated to your instructor as early as possible.
Documentation, typically from
the Dean of Students Office, that shows that you had a reason
that is serious, unavoidable, and beyond your control, is required.
If you miss a test for a valid reason, the score of the final exam will
be substituted for the missed test.
-
Solutions to test problems
will be posted after each test.
IMPORTANT: Test and test solutions are intended only for use by
students enrolled in this crn this semester. Without the teacher's written
permission, no one may show, give, or otherwise make such class materials
available to anyone not enrolled in this crn this semester. Prohibited
activities include, but are not limited to, uploading a test or solutions
to problems and submitting such materials for online posting. The
prohibition on sharing solutions applies to all solutions, regardless of
who wrote the solutions.
Honor System
The Virginia Tech Honor System applies to all graded work in this course.
The inclusion in an assignment of work (from any source)
done by someone whose name does not appear on the assignment or the
inclusion of the reproduction (by any means) of such work is a violation
of the Honor Code unless this inclusion is used in a way explicitly
authorized by the instructor.
If you have any questions about how the honor code applies to a particular
situation, it is your responsibility to ask. The Undergraduate Honor Code
pledge that each member of the university community agrees to abide by
states: `As a Hokie, I will conduct myself with honor and integrity at all
times. I will not lie, cheat, or steal, nor will I accept the actions of
those who do.' Students enrolled in this course are responsible for abiding
by the Honor Code. A student who has doubts about how the Honor Code applies
to any assignment is responsible for obtaining specific guidance from the
course instructor before submitting the assignment for evaluation. Ignorance
of the rules does not exclude any member of the University community from the
requirements and expectations of the Honor Code. For additional information
about the Honor Code, please visit:
Virginia Tech Honor System
Information
Attendance
Although attendance does not count toward your grade, you are
responsible for any material that you miss in class.
If you miss a class, please copy the notes
from another student in class.
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Course Policy Sheet for Math
3214 ( #17425 )