Math 230 - Calculus III and Vector Analysis Summer 2023
Calculus III and Vector Analysis
Section 620 Nick 167 MTWTrF 9:00 - 10:45 AM
Contact Information
Instructor: Gabe Kramer
Office: 15 Prischak
E-Mail: GDK5028@psu.edu
Office Phone: (814) 898-6863
Office Hours: M-Tr 10:45 - 11:30 (Nick 167 or 15 Prischak)
Office hours are also available by appointment.
To schedule office hours, please email Mr. Kramer 24 hours ahead of time.
Course Materials
Recommended Text: Larson, R., Calculus Early Transcendental Functions (Seventh Edition).
Course Contents: Three-dimensional analytic geometry; vectors in space; partial differentiation; double
and triple integrals; integral vector calculus.
Prerequisite: Math 141 or Equivalent.
Course Mode
This is an in-person class. Class will not be streamed over Zoom or recorded and posted. Prior arrangements
made with Mr. Kramer may be considered, but are ultimately at the discretion of the instructor.
Course Objectives
By the end of the semester, students will be able to
• Understand and apply basic operations and measurements with vectors in two- and three- dimensions.
• Understand and represent curves in two- and three- dimensions using vector-valued functions. This
includes finding tangent and normal vectors.
• Compute and interpret partial and directional derivatives and use the results to find tangent planes,
find slope (when given a direction), and solve advanced optimization problems.
• Represent area and volume using iterated integrals and find said area/volume by converting to double
and/or triple integrals. This includes using alternative coordinate systems.
• Compute and interpret divergence and curl of a vector field when presented with a vector field.
• Determine if a given vector field is conservative, and if so, find a potential function.
• Understand and apply Green’s Theorem, The Divergence Theorem, and Stokes’ Theorem.
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Math 230 - Calculus III and Vector Analysis Summer 2023
Assessment
Grades
Final grades will be determined by scores on homework, quizzes, exams, and a comprehensive final exam.
Your grade will be weighed in the following manner:
Homework & Quizzes 20%
Exams 60%
Final Exam 20%
For more information on a particular assignment, see Mr. Kramer or refer to Canvas.
Homework
Suggested homework problems will be posted to Canvas throughout the semester, the intention of these
problems is to practice the skills learned in-class in order to prepare for graded quizzes and/or midterms.
In the rare event that a homework assignment is assigned, collected, and graded, its score will be recorded
in the Quiz portion of the overall grade.
Midterms & Quizzes
Throughout the semester we will have several short quizzes and three midterm exams. These assessments
will cover concepts from the text, class discussions, and homework assignments.
Midterms and quizzes will be given in class only, and are expected to be worked and submitted in-class.
Arrangements for online or take-home midterms and quizzes will not be considered.
At least one of the lowest quiz scores will be dropped.
Should you need to miss a midterm or quiz for an approved absence, you must contact Mr. Kramer before
the start of the assessment, otherwise the midterm or quiz will be considered ’missed’ and a score of zero
will be given. Unless approved, any midterm or quiz for which you are not present, will be considered
’missed’ and a score of zero will be given.
In the event where you cannot be present for a midterm or quiz and prior arrangements were not made,
contact Mr. Kramer as soon as possible as cases may be considered on an individual basis.
Midterms and quizzes considered ’missed’ will receive a score of zero with no possibility to
earn back points.
Unless otherwise stated, the usage of any external resources or peers on quizzes and exams is a violation of
academic integrity and is strictly prohibited. Violators will receive a score of 0 on any assignment on which
external resources are used and will be reported to the Assistant Director for Academic Administration
for a violation of academic integrity.
After each assessment is returned you have five business days to see Mr. Kramer for any adjustments
which may need to be made in regards to your score. After this time, no grade changes will be made.
Final Exam
The final exam will be cumulative and will be given on Friday, August 11, 2023 in Nick 167 from 9:00 -
10:50 AM.
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Math 230 - Calculus III and Vector Analysis Summer 2023
Grading Scale
Your overall course grade is determined as follows:
Percentage Letter Grade
92-100 A
90-92 A-
88-90 B+
82-88 B
.
80-82 B-
78-80 C+
70-78 C
60-70 D
60 and below F
Tentaitve Course Schedule
The following is a tentative course schedule. All dates and sections are subject to change.
Weeks 1-3 Chapter 11
Chapter 12
Exam 1
Weeks 3-5 Chapter 13
Exam 2
Weeks 4-5 Chapter 14
Sections 15.1 - 15.2
Exam 3
Weeks 5-7 Sections 15.3 - 15.8
Final Exam
Additional Policies and Procedures are available in the Digital Version of the Syllabus found on Canvas.
Last modified: June 27, 2023.
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Math 230 - Calculus III and Vector Analysis Summer 2023
Policies and Procedures
Academic Integrity
Penn State defines academic integrity as “the pursuit of scholarly activity in an open, honest and respon-
sible manner” (Senate Policy 49-20).
Dishonesty of any kind will not be tolerated in this course. Dishonesty includes, but is not limited to cheat-
ing, plagiarizing, fabricating information or citations, facilitating acts of academic dishonesty by others,
unauthorized possession of quizzes/exams, submitting another person’s work as your own, reusing work
for another course without permission from the instructor, or tampering with grades or the academic work
of other students.
Students facing allegations of academic misconduct may not drop/withdraw from the course (see Senate
Policy G-9). Students who drop the course will be returned and expected to complete course work and
meet course deadlines until the allegations are dismissed and the drop is permitted. Students responsible
for academic misconduct often receive academic sanctions, which can be severe, and put themselves at
jeopardy for disciplinary sanctions assigned by the Office of Student Conduct (see Senate Policy G-9).
Unless your instructor tells you otherwise, to avoid plagiarism in this course always include an in-text
citation that includes the author(s) last name(s) and the year the source was published at the end of any
sentence or after any image that includes words or ideas you found in a source. Always include quoted
text within quotation marks, and always include a reference for any source at the end of your paper. Ask
your instructor about reference style as needed.
Sometimes students will seek help from other people or online tutoring, quizzing, studying, social media,
or information-sharing sites. Unless your instructor tells you otherwise, you must cite any information you
use from these sources to avoid plagiarism, even on exams. Using these sources when they are prohibited
may also constitute other academic integrity violations.
Unless your instructor tells you otherwise, you must complete all course work entirely on your own, and
you may not help other students with coursework.
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Math 230 - Calculus III and Vector Analysis Summer 2023
Title IX
Penn State University is committed to fostering an environment free of harassment and discrimination.
Title IX of the Education Amendments of 1972 prohibits discrimination on the basis of sex in public and
private educational institutions that receive Federal funds. The University has dedicated many resources
to addressing suspected prohibited conduct under Title IX. If you or someone you know has experienced
sexual harassment, including sexual assault, dating or domestic violence, and stalking, please know that
help and supportive resources are available.
Faculty members are not required to disclose information to the Title IX Coordinator. However, Penn
State strongly encourages all members of the community to take appropriate action by providing support
and encouraging those impacted by such incidents to submit a report to the Title IX Coordinator. You may
also submit a report online by using the incident form found here: Office of Sexual Misconduct Prevention
& Response Incident Report Form (maxient.com). If the University Title IX staff receives information
about an incident, they will reach out to offer information about resources, rights, and procedural options
available to you.
Penn State’s Title IX Coordinator is: At Penn State Behrend, the contact for supportive
resources, academic and housing accommodations is:
Chris Harris
Title IX Coordinator Kelly Shrout
328 Boucke Building Associate Director of Student Affairs
University Park, PA 16802 kaw148@psu.edu
(814) 863 - 0471 (814) 898 - 6111
Titleix.psu.edu Titleix.psu.edu
Counseling and Psychological Services
Many students at Penn State face personal challenges or have psychological needs that may interfere with
their academic progress, social development, or emotional wellbeing. The university offers a variety of
confidential services to help you through difficult times, including individual and group counseling, crisis
intervention, consultations, online chats, and mental health screenings. These services are provided by staff
who welcome all students and embrace a philosophy respectful of clients’ cultural and religious backgrounds,
and sensitive to differences in race, ability, gender identity and sexual orientation.
Counseling and Psychological Services at Commonwealth Campuses
(http://senate.psu.edu/faculty/counseling-services-at-commonwealth-campuses/)
Penn State Crisis Line (24 hours/7 days/week): 877-229-6400 Crisis Text Line (24 hours/7 days/week):
Text LIONS to 741741
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Math 230 - Calculus III and Vector Analysis Summer 2023
Disability Accommodations
Penn State welcomes students with disabilities into the University’s educational programs. Every Penn
State campus has an office for students with disabilities. The Office for Disability Services (ODS) Web
site provides contact information for every Penn State campus: http://equity.psu.edu/ student-disability-
resources/campus-disability-coordinators. For further information, please visit the Office for Disability
Services Web site: http://equity.psu.edu/student-disability-resources.
In order to receive consideration for reasonable accommodations, you must contact the appropriate dis-
ability services office at the campus where you are officially enrolled, participate in an intake interview,
and provide documentation: http://equity.psu.edu/student-disability-resources/applying-for-services. If
the documentation supports your request for reasonable accommodations, your campus’s disability ser-
vices office will provide you with an accommodation letter. Please share this letter with your instructors
and discuss the accommodations with them as early in your courses as possible. You must follow this
process for every semester that you request accommodations.
Mr. Andy Herrera is the Disability Services Coordinator at Penn State Behrend. He may be reached
by email AAH10@psu.edu or at 814-898-7101. For more information about disabilities and learning dif-
ferences at Penn State Behrend, please visit https://behrend.psu.edu/student-life/educational-equity-and-
diversity/ students-with-disabilities-and-learning-differences.
Peer Tutoring
The Learning Resource Center: Should you find yourself looking for a great place to study or looking
for peer tutoring, I encourage you to visit The Learning Resource Center here on campus. The service is
completely free and they are open most hours of the day.
More information on Peer Tutoring can be found at
https://behrend.psu.edu/academics/ academic-services/learning-resource- center-lrc/tutoring
Behrend’s Lion Pantry
The Behrend Lion’s Pantry is a completely free and anonymous year-round resource for all students to
access safe and nutritious food, hygiene items, and period products. Complete the online order form via
the Penn State Go app or find it on the Behrend Lion’s Pantry website.
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Math 230 - Calculus III and Vector Analysis Summer 2023
Education Equity
Penn State takes great pride to foster a diverse and inclusive environment for students, faculty, and staff.
Acts of intolerance, discrimination, harassment, and/or incivility due to age, ancestry, color, disability,
gender, national origin, race, religious belief, sexual orientation, or veteran status are not tolerated and
can be reported through Educational Equity at the Report Bias site: https://equity.psu.edu/reportbias.
Penn State’s Code of Conduct can be found at the following link https://studentaffairs.psu.edu/support-
safety-conduct/ student-conduct/code-conduct.
Direct all inquiries regarding the nondiscrimination policy to:
Andy Herrera
Director, Educational Equity and Diversity Programs
Penn State Behrend
aah10@psu.edu
814-898-7101
Copyright of Course Materials
You may not share any information from this course (including notes and assignments) with others who
are not currently registered for the course, nor post such information electronically without the permission
of the instructor–this includes online note-taking/note-sharing services (See Penn State Administrative
Policy AD-40). Also prohibited in the policy is the posting of audio, video, or photographs posted to social
media sites or other publicly accessible resources. Unless you have my permission, you risk disciplinary
sanctions.
Masking Policy
Masks are not currently required at most campuses as they are located in counties with low or medium
COVID-19 Community Levels, according to the CDC.
At other Penn State campuses, face masks are optional in most indoor spaces. However, masks continue to
be required where mandated by law, regulation or rule - including under guidance particular to individual
workplaces or health care settings and COVID-19 testing centers.
Employees at Penn State who work in their own individual offices on mask-optional campuses may request
that visitors wear masks while in their private offices, and faculty may request that their students wear
masks during classes. The University asks that community members cooperate respectfully with these
requests.
Here is the University’s latest guidance related to masking in the pandemic: http://virusinfo.psu.edu/health-
guidelines/#masking.
