Multivariable calculus is a fundamental pillar for modern science and engineering:
It extends single variable calculus to higher dimensions as if we are putting on 3D glasses. It turns out the higher dimensional structures are much richer than in the single variable cases, and many familiar concepts and theorems have much more interesting generalizations.
It provides the basic vocabulary for mathematical descriptions of fundamental processes and phenomena.
It forms the basic building blocks for geometrical objects like curves, surfaces, solids, and even higher dimensional analogs.
It develops intuition needed in other fields like linear algebra or data analysis.
It prepares you for further study in many other fields (not only in mathematics and its direct applications).
This is the third course in the calculus sequence. We will extend calculus to functions with more than one variable. In particular, we will cover…
In order to succeed in this class, a solid understanding of basic calculus is necessary. These prerequisite can be satisfied by MATH-1610 and MATH-1620 (or an appropriate score in the AUM Math Placement Test).
Participation in in-class discussions and activities is an important part of the learning process. Therefore, class attendance is expected. Students missing 6 or more classes without an approved excuse will receive an F grade.
Please be respectful of other people in the classroom and use common sense. In particular, please…
Students who violate these rules will be asked to leave the classroom and will not be allowed to return until they have spoken privately with me.
Scientific calculators or equivalent software programs can be helpful in doing homework problems. According to AUM Mathematics Department Calculator Policy, students are required to have a graphing calculator (TI-84 is recommended). The use of such calculators may be required for certain homework problems or in-class activities. However, all the quizzes and exams are designed so that no calculator will be needed. Therefore, calculators or any smart devices with Internet capabilities are not allowed on any of the in-class quizzes and exams.
There will be a weekly in-class quiz to test our understanding of the material covered in previous meetings. If you miss a quiz, you can make it up at the end of the semester with valid reasons (such as military assignments, medical issues, or family emergencies) and proper documentation provided in advance. Otherwise, a missed quiz will receive a score of zero.
In-class practice is a crucial component of the learning process. You will receive weekly assessment tests, which will be recorded and contribute to your grade. However, the tests themselves are not graded. (That is, you earn points just by taking them regardless how well you do in them)
Reading the textbook is crucial for comprehending complex concepts, gaining deep insights, and establishing a solid foundation for acquiring advanced mathematical skills. Hence, it is expected that you read the textbook attentively. Weekly reading assessments will be conducted and will contribute to your overall grade. You can find the suggested reading schedule on the Reading schedule on the course webpage.
Exercise problems included in our textbook are vital for understanding the subject. They provide practical applications of theory, reinforcing learning and testing comprehension. Exercises identify areas of difficulty, encourage further study and enhance problem-solving skills. You are strongly encouraged to try out as many exercise problems as possible.
Projects in this course are intended to facilitate your exploration of its deeper aspects and will significantly contribute to your final grade. In the latter half of the semester, you will be given a selection of topics to choose from.
The final exam is scheduled at 10:45am—12:15pm Apr. 25.
Your final grade is determined according to the following weighted average.
| Component | Percentage | Where |
|---|---|---|
| Quizzes | 45% | In-class |
| Worksheets | 25% | In-class |
| Reading | 10% | In-class |
| Project | 10% | In-class/online |
| Final exam | 10% | In-class |
AUM COVID-19 updates. Please follow guidelines detailed in the AUM pandemic plan relating to the COVID-19 pandemic.
Technology equipment expectation. Access to computers and stable Internet connection are expected. Students who do not have their own equipment can use AUM open labs including labs found in the first floor of the Taylor center and the second floor of the library.
Syllabus contingency plan. Should the Alabama Department of Public Health, the Governor, or Chancellor determine the university discontinue face-to-face (in-person) instruction in the interest of safety, this course would be converted to a virtual-only format. If normal class and/or lab activities are disrupted due to illness, emergency, or crisis situation (such as a COVID-19 outbreak), the syllabus and other course plans and assignments may be modified to allow completion of the course. If this occurs, an addendum to the syllabus and/or course assignments will replace the original materials.
In case the instructor cannot attend due to COVID-related matter, a back-up instructor will be arranged by the Department of Mathematics.
Academic dishonesty. Cheating of any kind will not be tolerated. In particular, you cannot copy (totally or partially) someone else’s solutions or allow someone else to copy your solutions on quizzes or exams. If you do, you will receive an “F” in the course. Please consult Student Handbook for additional guidelines.
Disability accommodations. Students who need accommodations are asked to arrange a meeting during office hours to discuss your accommodations. If you have a conflict with my office hours, an alternate time can be arranged. To set up this meeting, please contact me by e-mail. If you have not registered for accommodation services through the Center for Disability Services (CDS), but need accommodations, make an appointment with CDS, 147 Taylor Center, or call 334-244-3631 or e-mail CDS at cds@aum.edu
Academic support. Student Success Advising in the WASC can be scheduled through Advisor Trac, email at wasc@aum.edu, or by calling our front desk at 334.244.3230. ISL: Tutoring appointments can be scheduled online by filling out the form at http://www.aum.edu/tutoringapp.
Student privacy policy. The Family Education Rights and Privacy Act of 1974, as amended, (FERPA) requires institutions receiving federal monies to protect the privacy of students’ educational records. For details go to the AUM’s FERPA website: http://www.aum.edu/academics/Registrars-office