Mathematics 2450 Section 011, Calculus
III with Applications, Spring 2022
COURSE SYLLABUS
Meeting: MWF 10:00-11:15
Holden 152
Website: TBA
Instructor Jeffrey M. Lee PhD, Associate Professor
of Mathematics
Office Hours: Face to Face in Math 239 and/or by appointment Online
on Zoom, W-F 1:00-2:00 PM.
Email: You can email me from within the WebWork interface or at Jeffrey.lee@ttu.edu. (Do not email
the other prof. Jeff Lee whose email is similar)
Potential for Course Modality Change. If
Texas Tech University campus operations are required to change because of
health concerns related to the COVID-19 pandemic, it is possible that this
course will move to hybrid or fully online delivery format. Should that be
necessary, students will
need a webcam and microphone and will be advised of additional technical and/or equipment requirements, including remote proctoring
software.
Textbook: K.
Smith, M. Strauss and M. Toda, Calculus, 7th National Edition,
Kendall Hunt.
Online version of the book can be found at https://he.kendallhunt.com/product/calculus
About the
course.
Partial differentiation, functions of several variables, multiple integrals,
line integrals, surface integrals, Stokes Theorem. Applications and
problem-solving are strongly emphasized. Partially fulfills Core Mathematics
requirement.
Mission
Statement. This
course covers Calculus of several variables. The concepts are extensions of the
concepts from Calculus I. It is necessary to remind the students of those basic
concepts, as the course progresses. Multivariable Calculus is an important tool
in Science and Engineering. The instructor should emphasize the importance of
all relevant concepts, including: curves and surfaces in Euclidean 3-space,
length and curvature, area and volume; surfaces, partial derivatives, total
differential, tangent planes to surfaces; gradient; vector-valued functions;
path integral; Stokes' theorem, which should be stated, with an emphasis on its
important particular cases, Green's Theorem and Divergence Theorem - followed
by a few basic examples. This course is organized as a four
hour lecture for the regular academic year (Fall and Spring) and the
corresponding amount of hours for each Summer Session. Each hour will be
devoted to covering the material from the text-book integrated with
applications, examples and exercises that are relevant to the learning
objectives, and improve the student success in the examinations.
Student Learning Outcomes. Math 2450
satisfies the university core curriculum requirement in Mathematics: “Students
graduating from Texas Tech University should be able to demonstrate the ability
to apply quantitative and logical skills to solve problems.” It meets the TTU
general education student learning outcomes for mathematics that students will:
apply arithmetic, algebraic, geometric, statistical and logical reasoning to
solve problems; represent and evaluate basic mathematical and/or logical
information numerically, graphically, and symbolically; interpret mathematical
and/or logical models such as formulas, graphs, tables and schematics, and draw
inference from them. Students develop skills in differentiation and integration
needed to solve problems in 3-dimensional space. In particular the students
will master the concepts of tangent and normal vectors, and their geometric and
physical interpretations; partial derivatives, tangent planes, directional
derivatives, and gradients, and how to compute them; three-dimensional
integration, and how to compute such integrals; vector fields, divergence, and
curl, and how to calculate them.
Assessment of the Learning Outcomes: Homework will be given on the WebWork system at https://webwork.math.ttu.edu/webwork2/spr22jleem2450s011/ Students will be informed by the instructor and via email (on the @ttu.edu address) about the HW, which should be completed before the given deadline (generally not more than 10 days). Many of the HW problems will be discussed in class at a later time. Homework is worth 20% of the final grade. However, in order to pass the class your overall grade in the HW at the end of the semester should be at least 50%. This may appear radical, but besides the exams, the HW system is a major tool the instructor has to assess your class performances. The instructor will check regularly your HW score and let you know if you are not on track.
Examinations (subject to change!!):
Exam
#1: Fri, Feb 11, Holden 152 worth 15% of the
final grade
Exam #2: Wed, Mar 9, Holden
152 worth 20% of the final grade
Exam #3: Fri,
Apr 22, Math 152 worth 20% of the final grade
Final Exam: Common
Final. date: TBA, Math 152 worth
30% of the final grade
Grading Policy: a perfect score in all tests and
homework results in an overall grade of 105%. If your overall score is less
than 60% you will receive an F grade, in between 60-69% you will receive a D
grade, in between 70-79% you will receive a C grade, in between 80-89% you will
receive a B grade, in between 90-99% you will receive an A grade, with 100% or
more you will receive A+ grade. However, I reserve the right to curve the
grades but only if it results in higher letter grades at the end.
Classes start
and end always on time. Students are not allowed to leave the class before
the end of the hour without authorization. During class time it is not allowed
to text, chat or sleep. Please put in silent mode all your electronic devices.
ADA accommodations (TTU Operating Policy 34.22). Any student who, because of a disability, may require special arrangements in order to meet the course requirements should contact the instructor as soon as possible to make any necessary arrangements. Students should present appropriate verification from Student Disability Services during the instructor’s office hours. Please note: instructors are not allowed to provide classroom accommodations to a student until appropriate verification from Student Disability Services has been provided. For additional information, please contact Student Disability Services in West Hall or call 806-742-2405. https://www.depts.ttu.edu/opmanual/OP34.22.pdf.
Absence for observance of a
religious holy day (TTU Operating Policy 34.19). "Religious
holy day" means a holy day observed by a religion whose places of worship
are exempt from property taxation under Texas Tax Code §11.20. A student who
intends to observe a religious holy day should make that intention known in
writing to the instructor prior to the absence. A student who is absent from
classes for the observance of a religious holy day shall be allowed to take an
examination or complete an assignment scheduled for that day within a
reasonable time after the absence. A student who is excused may not be
penalized for the absence; however, the instructor may respond appropriately if
the student fails to complete the assignment satisfactorily.
https://www.depts.ttu.edu/opmanual/OP34.19.pdf.
Academic Integrity (TTU Operating Policy 34.12). It is the aim of the faculty of Texas Tech University to foster a spirit of complete honesty and high standard of integrity. The attempt of students to present as their own any work not honestly performed is regarded by the faculty and administration as a most serious offense and renders the offenders liable to serious consequences, possibly suspension. “Scholastic dishonesty” includes, but it not limited to, cheating, plagiarism, collusion, falsifying academic records, misrepresenting facts, and any act designed to give unfair academic advantage to the student (such as, but not limited to, submission of essentially the same written assignment for two courses without the prior permission of the instructor) or the attempt to commit such an act. http://www.depts.ttu.edu/opmanual/OP34.12.pdf.
Please note the following important dates: January 28, last day for student-initiated drop without a penalty, (drop does not count against drop limit). April 27, last day for student-initiated drop with a penalty (counts against drop limit). After the deadline, the student must complete the course for a grade. The 2021-2022 official calendar can be found at: https://www.depts.ttu.edu/officialpublications/calendar/21-22_cal_detailed.php.
Course Outline
Chapter 9 (review 9.1-4, cover 9.5-9.7) Vectors in Plane and in Space 6 hours
Chapter 10 (10.3, 10.5 are optional) Vector-Valued Functions 5 hours
Chapter 11 Partial Differentiation 11 hours
Chapter 12 (12.6 is optional) Multiple Integration 12 hours
Chapter 13 Vector Analysis 11 hours
Covid Related Class Policies
Vaccinations: Texas Tech
University strongly recommends students adhere to CDC guidelines on COVID-19,
including obtaining COVID-19 vaccinations. If you were unable to obtain a
vaccination prior to your arrival on campus, the COVID-19 vaccine is available
at Student Health Services by appointment. You can find
additional information about the vaccine and campus vaccine clinics here.
Face Covering Policy: As of May 19,
2021, face coverings are optional in TTU facilities and classrooms but, based
on CDC guidelines, are recommended and welcome, especially for those who have
not been vaccinated for COVID-19 or who may have susceptibilities to the virus.
Face coverings are required in public transportation (e.g., Citibus)
and in the Student Health Clinic.
Illness-related
Absences: On request I can
provide more resources to supplement the book and of course you can talk to me
on zoom. You will have plenty of opportunities to make up what you miss,
including homework and tests, provided you reported your case in the
University's COVID-19 campus reporting system. Anyone with a
known exposure should wear a mask for 10 days and should seek a COVID-19 test
on day five after exposure. If you test positive or develop symptoms, you
should immediately self-isolate and seek a COVID-19 test. Anyone who tests
positive is required to self-isolate for five days. Following the five-day
isolation period, if you are asymptomatic or your symptoms are resolving, you
may return to class but should wear a mask for five additional days. All
positive tests should be reported through our campus reporting system.
Seating Chart: After one week
of class we will build a seating chart. Pick one spot and stick with it for the
rest of the semester!
In-Person Office Hours: For in-person
office hours, masks are optional but strongly encouraged and welcome.
Personal Hygiene: We all should
continue to practice frequent hand washing, use hand sanitizers after touching
high-touch points (e.g., door handles, shared keyboards, etc.), and cover faces
when coughing or sneezing.
Potential Changes: The University will
continue to monitor CDC, State, and TTU System guidelines in continuing to
manage the campus implications of COVID-19. Any changes affecting class
policies or delivery modality will be in accordance with those guidelines and
announced as soon as possible. If Texas Tech University campus operations are
required to change because of health concerns related to the COVID-19 pandemic,
it is possible that this course will move to a fully online delivery format.
Should that be necessary, students will be advised of technical and equipment
requirements, such as web cam, microphone, and remote proctoring software.