Vector Calculus
(Calc. III)
Math 241.002 and Math 241.004
Fall 2026

The Basics


Course basics
Instructor: Prof. Girardi.  (Feel free to address me as just Prof. G.)
Course Homepage: Our Course Homepage contains needed course information. See
http://people.math.sc.edu/girardi/w241.html
For your convenience, our Course Homepage is also posted on Bb.
Prereq.: Grade of "C" or better in Math 142 (Calc. II).
Required Textbook: Thomas' Calculus: Early Transcendentals (15th Edition) by Hass, Heil, Bogacki, Weir.  (An electronic version is fine.)
My Math Lab (MML) access to the textbook for the on-line homework.
Posted on Bb is the MML Student Registration Instructions, which contains the instructor's course ID.
MML HW: MML homework, with due dates, is posted on MML.
Class Meeting Info.: See Prof. G's Weekly Schedule.
Notable Announcements:   See Bb's 'Announcements' (look on the horizontal toolbar towards top).
Electronic Communication:   Other electronic communications will be via emails, often using Bb messages, my.sc.edu, MML.
Have these platforms set as to receive emails on a regular basis.
Required: Check regularly (at least daily) your USC email and your MML email.
Required: Bring your relevant class handouts to each class meeting.
Highly Recommended:   Bring colored pencils/pens and a highlighter to each lecture.
A 3-ring binder to help organize your notes, class handouts, homeworks, etc.

Important semester dates
Dates See our handy linked one-page Semester Calendar, which contains this semester's important dates: holidays, final.
Note: an exam might be just before/after a holiday so plan accordingly.

Instructor contact and office information
Instructor Info Office Office Hours
Prof. Girardi
girardi@math.sc.edu
LeConte 339 See Prof. Girardi's Weekly Schedule
for her office office hours as well as weekly schedule.

Contacting Prof. Girardi


Given the nature of mathematics, questions over mathematics should be discussed in person during an office visit.

The best way to contact Prof. G is via Blackboard's messages. You may send her, e.g.: logical questions (needing clarity) or request an office visit outside her scheduled office hours (send her time slots you are available).

If your message includes a file (e.g. .jpeg, .pdf, .png), send the file as an ATTACHMENT (rather than in-line). Feel free to Bb message Prof. G at any hour and please allow sufficient time for a response.

You can always talk to Prof. Girardi before or after class.

Learning Outcomes


A student who successfully completes Vector Calculus (MATH 241) should continue to develop as an independent learner and problem solver with the ability to approach problems from a conceptual viewpoint, to utilize more than one idea in a single problem, and to apply appropriate calculus skills to problems in context. In particular, the successful student will master concepts and gain skills needed to solve problems related to topics such as: vectors and vector functions, finding equations of lines and planes, parametric curves, differentiability, continuity and limits of functions of two or more variables, directional derivatives and gradients, maxima and minima of functions of more than one variable, double and triple integrals, and line integrals.

Course Topics


The latter part of Calculus 2 (Math 142) finished with sections: 11.1, 11.2, 11.3, 11.5. These sections in Ch. 11 were in 2 dimensions. Calculus 3 (Math 241) is 3 dimensional.

Math 241 will cover selected sections from the textbook Sections 12.1-16.4. Taking a (highly recommended) glance through the textbook will give a brief overview of the course.

MyLab Math (MML)


MML is the on-line homework system for this course. On Bb is 'MML Student Registration Instructions', which contains the instructor's course ID and was prepared by MML. Prof. G prepared, and put on our course homepage, answers to MML FAQ from students, such as: finding the eText, finding assignments, finding practice problems, and taking a practice quiz or test over MML.

Since homework due dates depend upon where the lecture stopped, sometimes due dates are not known until the end of a lecture. (I do not like to give HW before you are ready for it.)  A MML assignment might be posted early, in which case the assignment is given a 'fake' due date (which will be after the semester is over) and the true due date will be posted when it is known. A MML assignment might not be posted until after the class. If in doubt of what is due when, just ask Prof. G at the end of class.

Thus MML assignments, with due dates, are posted on MML. Your MML current score is also on MML (not Bb).

Sources of Help


Unlike Calc. I and II, in Math 241 there are no gateway exams, recitation sections, nor SI.

For Math 241, USC's Student Success Center (SSC) offers several sources of (free) help.

If you have questions, just phone the SSC at (803) 777-1000.
The SSC also offers Success Consultations on topics such as: academic success and study skills, preparing for exams, motivation and discipline, procrastination and prioritization. For more info, visit SSC → Undergraduate Student Support → Success Coaching.

Another source of help is Prof. Girardi's office hours. The math department posts a list of (not free) private tutors at the site: Math Tutoring Center.

Collaboration


You are strongly encouraged to work together on homework and class studies. By all means, form study/working groups to discuss the homework problems (but give them a fair shot first before you meet with the others) and to study for the exams. The MML assignments that you submit must be your own. You are welcome to work together on homeworks, sharing ideas (but not solutions). Remember, you will have to take the exams individually so do not become too dependent upon one another. According to the USC Student Handbook code of student academic responsibility, the first law of academic life is intellectual honesty. This is expected of all of you.

Academic Honesty in the 2020's


Below are some examples of violations of our academic honesty and a violation could result in a F in the course. Furthermore (other than for group assignments), if class members utilize site/link/platform for communication (e.g., GroupMe, Discord) then Prof. Girardi must be made aware and be invited.

If you ever have any uncertainty about the ground rules then just ask for clarification from Prof. Girardi, who encourages productive collaboration.

What to do if miss class / Attendance

Attendance and class participation expectations are as stated in the following USC policy (source: https://academicbulletins.sc.edu/undergraduate/ →Undergraduate Policy and Regulations→Undergraduate Academic Regulations→Grading Policies).

Enrollment in a course obligates the student not only for prompt completion of all work assigned but also for punctual and regular attendance and for participation in whatever class discussion may occur. It is the student's responsibility to keep informed concerning all assignments made. Absences, whether excused or unexcused, do not absolve the student from this responsibility.
If a student misses class, either excused or unexcused, it is the student's responsibilty to ensure they get the material missed. (Bb's "Messages" can help with this.)   For the announcements made in class, a student may email Prof. Girardi.

As long as student class attendance is regular, daily attendance will not be taken. If daily attendance becomes necessary, then there will be an announcement in class.

Excused Absences

Make-up work is provided only for an approved excused absence.

For excused absences, we will follow the University’s policy, which is at: https://academicbulletins.sc.edu/undergraduate/policies-regulations/undergraduate-academic-regulations/ → Attendance Policy.

An excused absence must be approved by the Office of Student Advocacy, whose link contains:

Good news: if your petition is approved, this Office will contact all your professors.
Bad News: approval takes time (properly filling out your petition helps speeds things up).

If you petition for an excused absence

you need to personally contact Prof. Girardi (ASAP, email is fine)
(a reasonable amount of time for personally contacting Prof. Girardi is within 12 hours of the missed assignment) to tell her you have petitioned for an excused absence and
to arrange for reasonable makeup work.
Your supporting documents (e.g., doctor's note) for the excused absence go the the Office of Student Advocacy and not to Prof. Girardi.

For absences that are known at the beginning of the semester (such as religious holidays or authorized university activities), students need to submit their petition to the Office of Student Advocacy and provide Prof. Girardi a written notice no later than the second week of class.

Course Policies / Common Sense / Courtesy / Integrity

Classroom Environment: Attendance/Timeliness/CellPhones. USC policy states:

Enrollment in a course obligates the student not only for prompt completion of all work assigned but also for punctual and regular attendance and for participation in whatever class discussion may occur. It is the student's responsibility to keep informed concerning all assignments made. Absences, whether excused or unexcused, do not absolve the student from this responsibility.
To create a classroom environment conducive to learning and to help you personally succeed, we have the below policies.
  1. Please feel free to ask questions in class! Questions are highly encouraged since questions help fill in gaps that need filling before starting the HW.
  2. I often call on students in class. Please do not let this scare you since, if so needed, I will guide the student to the answer. Look at it as your personal learning opportunity. Also, if one student is unsure, the chances are many students are unsure. We are all here to learn and we can learn from each other!
  3. Students are expected to attend the entire class meeting: late arrivals and early depatures disrupt the class. Repeated late arrivals and/or early departures will not be tolerated. If you must leave class early, inform the instructor before the class begins, sit near the door, and gracefully exit. If you must arrive late, discretely find an open seat (and inform the instructor before hand if you know this will happen).
  4. During class, cell phones and other electronic devices (such as earbuds or bluetooth but with the discussed exception for electronic tablets) are to be turned off and stored in a closed (e.g., zipped or buttoned) bag (e.g., backpack or purse); they may not be stored in your clothing (e.g., jacket pocket). If you do not have proper storage then you may give the device to the instructor, who will store it on the instructor's table/desk during class.

Electronic Tablets. If you use an electronic tablet to take class notes during class, then your tablet must remain flat on your desk (as one does when writing). Otherwise you will lose the privilege of using a tablet in class.

Academic Integrity/Academic Honesty. The first line of USC's Carolinian Creed is As a Carolinian I will practice personal and academic integrity. We expect this of the entire Carolina family. For more information see USC Academic Integrity. If you ever have the least bit of uncertainty about what constitutes academic integrity, just ask for clarification from Prof. Girardi, who encourages collaboration. Below are some basic Academic Integrity Policies we will follow.

Academic Integrity violations are grounds for a F in this course and will be handed through USC's office of Student Conduct and Academic Integrity.

ADA. If you have special needs as addressed by the Americans with Dissabilities Act and you have registered with the UofSC Office of Student Disability Resource Center (SDRC), you need to speak with Prof. Girardi before using an approved accommodation. We will discuss how to best handle your SDRC accommodations as so to meet your needs. We will not discuss of your specific disability.

Gamecock School Supplies. The SSC's Gamecock School Supplies provides free school supplies to all USC students.

Recording of Class. Recording (of any type, including but not limited to: audio, visual) of any part of the class is prohibited without the prior written permission the Prof. Girardi.

Grading Policies (tentative)


Your course grade is based soley on your: progress checks (e.g., HW and quizzes), standard exams, and a cummulative final exam. There will be many progress checks assignments, which will help prepare you for exams.

There will be 3 standard exams (between the first and last days of classes) along with a cummulative final exam. All exams are closed books/notes. Calculators are not allowed nor needed. No exam grade is dropped. There will be no make-up exams (except with an approved excused absence).

The main type of progress checks are MML homework and in-class quizzes. There could also be other progress checks (e.g., group work, non-MML homework), in which case the score will be put into either the MML HW or in-class quizzes.

No late MML assignments and no make-up exams (except with an approved excused absence). On MML HW, calculators are needed and allowed. On in-class quizzes, calculators are not allowed nor needed.

Your goal is to gain a working knowledge of the material; you have some personal freedom in this pursuit. By the end of the semester, demonstrate that you have mastered the material and your grade will be agreeable. With this in mind, your course grade (tentatively) will be based on your (personal) higher percentage in the below 2 schemes.

Grade weighting schemes
 Scheme 1Scheme 2
MML Progress Checks  5%  5%
Quizzes Progress Checks 10% 10%
Standard Exams 60% 40%
Cummulative Final 25% 45%
total 100% 100%

Since Bb is unable to calculate grades that take the higher of 2 schemes (with is to your advantage), grades will not be done on Bb. (I'll just do using excel, where it is easy to do). Between MML HW (your overall score is on MML), quizzes (your score is on Bb) and returned standard exams, you will have all the information needed to calculate your grade situation going into the final. Please ask me if you need help doing so.

The baseline score is indicated below. These thresholds may be lowered (at the end of the semester) if appropriate.

Course grade thresholds
F D C B A
x< 60% 60% ≤ x < 70% 70% ≤ x < 80% 80% ≤ x < 90% 90% ≤ x

If taking daily attendance becomes necessary, the USC 5% rule will apply. Having more than 5% unexcused absences will result in lowering your course grade by one full letter grade. For a 50 minutes (resp. 75 minutes) class that meets 3 (resp. 2) times a week, this translates to 2 (resp. 1) unexcused absence without penalty for the entire semester. Of course, only absences after daily attendance begun will be (can be) be counted.

Your course PIN will be posted on Bb shortly after the last day to drop without a W. Your PIN is a three digit number that helps Prof. Girardi correctly record your scores (the first digit indicates your course/section number and the last two digits indicates your place on the roster within your section). This method is used since double last names habitually can cause problems when submitting grades. In order to receive credit for an assignment done on paper, your PIN must be on the paper. So please note your PIN somewhere you can find it when needed. Bring a photo ID to each exam.

Questions on Returned Work

After an exam or assignment is returned, you are encouraged to look through the feedback. It is important that we identify precisely where your misunderstanding is and clear up the misunderstanding. Just seeing or reading a correct solution is not as helpful. Thus, in her office, Prof. Girardi will gladly discuss your returned work and clear up your misunderstandings. This way you get the personal help you need to be sure you succeed in this course.

Prof. Girardi is glad to answer your questions over the grading of your work but you must ask within 6 days from the date the graded work is returned. Out of respect of your privacy, grading matters should not be done during class time (in front of the entire class).

Workload for University Courses

The typical workload for an University course is, for each credit hour, a student should expect to spend outside of class time 3-4 hours per week. So for a 3 hour course, a student should expect to spend 9-12 hours outside of class time.

* This syllabus is subject to change.