MATH 311  003 67897 VECTOR ANALYSIS Fall
2021
Scheduled
Meeting Times


Type

Time

Days

Where

Date
Range

Schedule
Type

Instructors

FacetoFace
Plus

8:00
am  9:15 am

T

DSH223

Aug
23, 2021  Dec 18, 2021

Lecture


Remote
Set Day/Time

8:00
am  9:15 am

R

Remote
Instruction Microsoft Teams
(In addition to your emails, Teams and the class notebook in OneNote you can find on UNMLearn the link to join the class and/ or office hours using Teams.) 
Aug
23, 2021  Dec 18, 2021

Lecture

You need to be registered for the course with a @unm.edu email. Any other email will disable features of Microsoft Teams. I have sent you by email a link to join the MATH311 team. Please follow it in order to request access. You can find the link to join the team in UNM Learn as well. After you join the class MS Team I will also give you access to Overleaf. The latter will be used to collaborate on writing the findings of your respective research projects. I will drop from the class all students who do not request access to Microsoft Teams by Friday, September 3.
Instructor: Dimiter Vassilev Office : SMLC 326 Email: vassilev@unm.edu
Phone Number: 505 277 2136
Office Hours: I will have office hours through Microsoft Teams on Monday 3:30pm4:30pm and Thursday 2:30pm3:30pm. You can also send me an email to arrange a meeting.
MATH311 Catalog Course Description.
Vector algebra, lines, planes; vector valued functions, curves, tangent lines,
arc length, line integrals; directional derivative and gradient; divergence,
curl, Gauss’ and Stokes’ theorems, geometric interpretations. Prerequisite: Undergraduate
level MATH
2531 Minimum Grade of C or Undergraduate level MATH
2530 Minimum Grade of C or Undergraduate level MATH
264 Minimum Grade of C.
Text: Introduction
to Vector Analysis by H. F. Davies and A. D. Snider,
7th Edition, Hawkes Publishing, ISBN: 0697160998. Additional books of interest:
1. Susan Jane Colley, Vector Calculus, Fourth Edition; 2. M.R. Spiegel, Schaum’s OutlinesVector Analysis, McGrawHill; 3. Paul C.
Matthews, Vector Calculus, Springer Undergraduate Mathematics Series, 1998,
SpringerVerlag London, eBook ISBN 9781447105978, Softcover ISBN,
9783540761808
Learning goals
·
Acquire a more indepth knowledge of
vector calculus and vector analysis.
·
Become familiar with some
applications of vector calculus.
·
Be able to express mathematically
using vector calculus various objects and concepts from other subjects.
·
Collaborate on a Research Topic.
·
Learn/Practice collaboration work.
Learning objectives
·
Learn concepts and acquire
computational capability involving the topics listed in the course description.
·
Become familiar with the structure,
preparation and collaboration leading to a scientific paper.
·
Use vector calculus and seek a solution
to a particular problem in mathematics, physics, CS/Machine Learning or in an
area of your choice. Learn to use standard mathematics and physics resources
for references and known results.
·
Learn how to use latex and
contribute to the writing of a “scientific” paper as a member of a
collaborative group.
Semester Deadline Dates: http://registrar.unm.edu/semesterdeadlinedates/fall2021printable.pdf and Fall 2021 Semester deadline dates
Please
note the following guidelines for the course
You
are expected to be courteous. We would
like to have a welcoming atmosphere where all are comfortable speaking,
regardless of any aspect of their background. Please keep in mind that students are entering this class with various
degrees of prior knowledge of mathematics and/ or general interests and
concentration.
Vaccination Policy. All students, staff, and instructors are required by UNM Administrative Mandate on Required Vaccinations to be fully vaccinated for COVID19 as soon as possible, but no later than September 30, 2021, and must provide proof of vaccination or of a UNM validated limited exemption or exemption no later than September 30, 2021 to the UNM vaccination verification site. Students seeking medical exemption from the vaccination policy must submit a request to the UNM verification site for review by the UNM Accessibility Resource Center. Students seeking religious exemption from the vaccination policy must submit a request for reasonable accommodation to the UNM verification site for review by the Compliance, Ethics, and Equal Opportunity Office. For further information on the requirement and on limited exemptions and exemptions, see the UNM Administrative Mandate on Required Vaccinations.
UNM Requirement on Masking in Indoor Spaces. All students, staff, and instructors are required to wear face masks in indoor classes, labs, studios and meetings on UNM campuses, see the masking requirement. Qualified music students must follow appropriate specific mask policies issued by the Chair of the Department of Music and the Dean of the College of Fine Arts. Students who do not wear a mask indoors on UNM campuses can expect to be asked to leave the classroom and to be dropped from a class if failure to wear a mask occurs more than once in that class. Students and employees who do not wear a mask in classrooms and other indoor public spaces on UNM campuses are subject to disciplinary actions.
Academic
Honesty. Please note the Regents'
Policies: "Academic dishonesty" includes, but is not
limited to, dishonesty in quizzes, tests, or assignments; claiming credit for
work not done or done by others; hindering the academic work of other students;
misrepresenting academic or professional qualifications within or without the
University; and nondisclosure or misrepresentation in filling out applications
or other University records.
Title IX. The University of New Mexico prohibits discrimination on the basis of sex (including gender, sex stereotyping, gender expression, and gender identity). If you have experienced sexual harassment, including sexual assault as defined in this policy, you have a variety of options available to you. You may report this crime to the police, pursue administrative investigative options, seek supportive measures and seek confidential resources. Please see https://loborespect.unm.edu/facultystaff/index.html and https://policy.unm.edu/universitypolicies/2000/2740.html for more detailed information. Any report of gender discrimination, which includes sexual harassment, sexual misconduct and sexual violence made to a faculty member, TA, or GA must be reported to the Title IX Coordinator at the Office of Equal Opportunity (oeo.unm.edu).
Academic accommodation will be made for any student who notifies me of the need. Please take the initiative to let me know of your needs and contact Accessibility
Services in Mesa Vista Hall, Room 2021, phone 2773506.
Collaboration. I encourage you to work with your
peers and me on the homework, provided you write up and submit your own
solutions in your own words.
Research
Project. The class will split into collaboration teams based on the chosen Research
Projects. You will work on the chosen problem with your respective teams
throughout the semester. Each team will have their own “space” in the class
notebook of Microsoft Teams and in Overleaf. Only the respective team members and I will be
able to see and edit this space. Each team should setup an hour long meeting
every week throughout the semester. The meeting could be in Microsoft Teams or
inperson or a combination of both, alternating each week for example. The
general guide for the research projects can be found in the class OneNote notebook or at this link.
Homework. Homework
is due every Tuesday at the beginning of the class. I encourage you to work on
the homework with your classmates, but you are required to write up your own
solutions in your own words. Links to solutions to most of the homework
problems can be found in Microsoft Teams.
To help the grader, please write your solutions neatly using correct grammar
and mathematical notation (no points will be given for work that the reader
cannot follow). The ten best homework grades will be used in
computing the homework score. Please do not turnin late homework! The syllabus also lists
recommended homework problems. These are NOT to be handed in. Work as
many as it takes for you to understand the material. Keep all of your homework together in a folder for an easy
reference. You should see me as early and as often as necessary if you
are having difficulties with the homework problems.
Exams.
The exam dates are given in the schedule below. The Final Exam date is set by UNM, see https://schedule.unm.edu/finalexams/final_exam/fall2021.pdf. No makeup exams will be given
unless you contact me ahead of time with a documented “university authorized
absence”, including, but not limited to illness, family emergency, active
participation in scholarly or athletic events. Exams may include some multiplechoice questions testing very specific skills or concepts. The exams will be predominantly based on the homework and inclass problems. Students
having conflicts with the examination schedule must notify me before TBD. Any
student having more than three examinations scheduled in any one day may notify
the instructor of the last examination listed. If notified before TBA, I shall make arrangements to give a special examination. Conflicts
arising as a result of scheduling out of normal
hourspattern or day sequences must be resolved by the instructor of the
offpattern courses.
Assessment (including grading). You should think of most of
the work during the semester including homework, midterm exams, and the
research project(s) as means for feedback and learning. This will be reflected
in the grading policy where I will drop about 25%30% of the lowest homework
and quiz scores. The Final Exam will be an opportunity for a
major grade change by showing a cumulative achievement of the course objectives. The “score” for the research
project will be a purely bonus score. Writing is one of the most important
skills. You should use the homework and
the research project as the main tools for writingtolearn.
Although
a small curve might be used, 90%, 80% or 70% of the possible maximum points
guarantees at least an A, B or C, respectively.
Math
311 Fall 2021 schedule. The current homework and schedule are posted in the OneNote class notebook.
NOTE: You need to be registered for the course with a @unm.edu email in order to use all features of MS Teams and OneNote. Any other email will disable features of Microsoft Teams. I have sent you by email a link to join the MATH311 team. Please follow it in order to request access. In addition to your emails, Teams and the class notebook in OneNote you can find on UNMLearn the link to join the class and/ or office hours using Teams.
Week Day 
Class Date 
Topics 
T 
Aug 24 
Sections 1.2 – 1.10 (Review from Calculus III)
Research Project: begin reviewing the research projects, ECURE survey 
R 
Aug 26 




T 
Aug 31 
Sections 1.11 – 1.14 (Review from Calculus III)
Research Project: discussion of projects. 
R 
Sep 2 




T 
Sep 7 
Sections 2.1 – 2.3
Research Project: discussion of projects and creation of teams. 
R 
Sep 9 




T 
Sep 14 
Sections 3.1 – 3.4 (Review from Calculus III)
Research Project:

R 
Sep 16 




T 
Sep 21 
Sections 3.6, 3.8
Research Project:

R 
Sep 23 




T 
Sep 28 
Sections 4.1, 4.3
Research Project: discussion of questions on projects. 
R 
Sep 30 




T 
Oct 5 
Sections 4.2, 4.3, 4.4, 4.5 (review from Calculus III)
Research Project: discussion of questions on projects. 
R 
Oct 7 




T 
Oct 12 

R 
Oct 14 
Fall Break 



T 
Oct 19 
Sections 3.10, 3.11, 4.6, 4.7
Research Project: discussion of questions on projects. 
R 
Oct 21 




T 
Oct 26 
Section 4.9

R 
Oct 28 
Research Project: discussion of questions on projects. 



T 
Nov 2 
Exam on Nov. 2, on all sections covered to this point except 4.9. (See the OneNote class notebook for practice problems Practice problems for the midterm exam). Section 4.8

R 
Nov 4 
Research Project: discussion of questions on projects. 



T 
Nov 9 
Section 4.9, 5.1
Research Project: discussion of questions on projects. First draft due Nov. 9. 
R 
Nov 11 




T 
Nov 16 
Section Appendix D, 5.1, 5.2, 5.5
Research Project: discussion of questions on projects. 
R 
Nov 18 




T 
Nov 23 
Sections 5.3, 5.4
Research Project: discussion of questions on projects. Second draft due. 
R 
Nov 25 Thanksgiving 




T 
Nov 30 
Sections 5.1, 5.4, 5.5
Research Project: discussion of questions on projects. 3rd draft due 
R 
Dec 2 




T 
Dec 7 
REVIEW FOR FINAL  will go over questions you have on the Practice Problems Research Project: discussion of questions on projects. Final draft due. 