**MATH 311 - 003 67897 ****VECTOR ANALYSIS ****Fall
2022**

**ggest a problem that comes from your interests. **

Please note the following information. 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 Canvas 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 9. The remote class on Thursday will be through MS Teams. Homework, including submission, and and all course information will be done in MS OneNote.

Our classroom and our university should always be spaces of mutual respect, kindness, and support, without fear of discrimination, harassment, or violence. Should you ever need assistance or have concerns about incidents that violate this principle, please access the resources available to you on campus. Please note that, because UNM faculty, TAs, and GAs are considered "responsible employees" by the Department of Education, any disclosure of gender discrimination (including sexual harassment, sexual misconduct, and sexual violence) made to a faculty member, TA, or GA must be reported by that faculty member, TA, or GA to the university's Title IX coordinator. For more information on the campus policy regarding sexual misconduct, please see: https://policy.unm.edu/university-policies/2000/2740.html.

Support: LoboRESPECT Advocacy Center and the support services listed on its website, the Women's Resource Center and the LGBTQ Resource Center all offer confidential services and reporting.

**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 M 3:30pm-4:30pm & Th 4:30pm-5:20pm. You can also send me an email to arrange a meeting or stop by my office if you have a quick question.

**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: 0-697-16099-8. **Additional books of interest**:
1. Susan Jane Colley, *Vector Calculus, Fourth Edition*; 2. M.R. Spiegel, Schaum’s Outlines-Vector Analysis, McGraw-Hill; 3. Paul C.
Matthews, Vector Calculus, Springer Undergraduate Mathematics Series, 1998,
Springer-Verlag London, eBook ISBN 978-1-4471-0597-8, Softcover ISBN,
978-3-540-76180-8

This is a class implementing the ECURE project. ECURE (Expanding Course-Based Undergraduate Research Experiences) is an NSF-funded project designed to leverage UNM’s research mission to enrich undergraduate education in STEM general education and portal courses. The class will split into collaboration teams based on chosen Research Projects. I will suggest a few, but feel free to suggest a problem that comes from your interests.

**Learning goals
**

·
Acquire a more in-depth 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**: https://registrar.unm.edu/semester-deadline-dates/fall-2022.html

**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 set-up an hour long meeting
every week throughout the semester. The meeting could be in Microsoft Teams or
in-person 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 turn-in 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 posted in the class OneNote. The Final Exam date is set by UNM, see https://schedule.unm.edu/final-exams/final_exam/fall2022.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 multiple-choice questions testing very specific skills or concepts. The exams will be predominantly based on the homework and in-class 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
hours-pattern or day sequences must be resolved by the instructor of the
off-pattern 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 feed-back 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 writing-to-learn.

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.

**
**

Support: Contact me by email or in office hours and contact Accessibility Resource Center (https://arc.unm.edu/) at arcsrvs@unm.edu (505) 277-3506.

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