This page contains specific information for Section 20 of MATH 2110Q – Multivariable Calculus. Below you can find the formal course description, information about the instructor, enrollment, the book, homework and quizzes, exams, and policies.
Course Description: MATH 2110Q, Multivariable Calculus
Description: Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.
Prerequisites: MATH 1132Q, or a score of 4 or 5 on the Advanced Placement Calculus BC exam.
About the Book and Other Resources:
The text for this course is Multivariable Calculus (7th Edition) bundled with WebAssign by James Stewart. The WebAssign access code is required for this course! You can obtain the textbook and access code by purchasing the textbook bundled with the WebAssign access code from the bookstore or purchasing a code online when you access your homework via HuskyCT. The access code includes an online version of the text. Note that buying the unbundled version of the book (that is, the text without the WebAssign code) and the WebAssign code separately may (and usually does) cost more than buying the bundled version of the text.
- Here is a great source for 3-D models and visualizations of many of the key concepts, made by David Nichols.
- Here is a nice tool for plotting 3-D curves and seeing tangent vectors
- Geogebra is also very useful for all things 3-D. Here is a link to my Geogebra profile where you can see the examples we have gone through in class.
- Here is a nice tool for plotting 3D vector fields.
Homework, Quizzes, Worksheets:
Homework will be assigned frequently through WebAssign which can be accessed through HuskyCT and will be due throughout the week. I cannot emphasize enough how important regularly completing the homework will be, even more so given the accelerated pace due to this being a summer course.
Quizzes will be given freqeuntly in class. They will consist of 2-3 problems from the previous sections. We will go over the answers together as a class soon afterwards.
Worksheets will be provided most classes to be worked on in groups.
Sec 12.1-12.3 Worksheet solutions
Sec 12.6-13.1 Worksheet solutions
Sec 13.2-13.3 Worksheet solutions
Sec 14.1-14.2 Worksheet solutions
Sec 14.4-14.5 Worksheet solutions
Sec 15.1-15.2 Worksheet solutions
Exams and Class Grade:
There will be two in-class midterms and a final exam. Each midterm will cover about 2 weeks of material, while the final will be cumulative. The total grade will be computed as follows:
| Homework | 100 | |
| Quizzes/Worksheets | 100 | |
| Exam 1: (Week 6 – Friday, February 26th) | In class | 125 |
| Exam 2: (Week 12 – Friday, April 8th) | In class | 125 |
| Final Exam: | TBA | 175 |
| TOTAL | 625 |
Course Outline/Tentative Schedule:
| Week | Chapter | Topic |
| 1 | 12.1 | 3-D Coordinate Systems |
| 12.2 | Vectors | |
| 12.3 | The Dot Product | |
| 12.4 | The Cross Product | |
| 12.5 | Equations of Lines and Planes | |
| 12.6 | Cylinders and Quadric Surfaces | |
| 13.1 | Vector Functions and Space Curves | |
| 13.2 | Derivatives and Integrals of Vector Functions | |
| 13.3 | Arc Length and Curvature | |
| 2 | 14.1 | Functions of Several Variables |
| 14.2 | Limits and Continuity | |
| 14.3 | Partial Derivatives | |
| 14.4 | Tangent Planes | |
| 14.5 | The Chain Rule | |
| 14.6 | Directional Derivatives and the Gradient Vector | |
| 14.7 | Max and Min Values | |
| 14.8 | Lagrange Multipliers | |
| Review and Exam I | ||
| 3 | 15.1 | Double Integrals over Rectangles |
| 15.2 | Double Integrals over General Regions | |
| 15.3 | Double Integrals over Polar Coordinates | |
| 15.4 | Applications of Double Integralls | |
| 4 | 15.6 | Triple Integrals |
| 15.7 | Triple Integrals in Cylindrical Coordinates | |
| 15.8 | Triple Integrals in Spherical Coordinates | |
| 15.9 | Change of Variables | |
| Review and Exam II | ||
| 5 | 16.1 | Vector Fields |
| 16.2 | Line Integrals | |
| 16.3 | The Fundamental Theorem for Line Integrals | |
| 16.4 | Green’s Theorem | |
| 16.5 | Curl and Divergence | |
| Review and Final Exam |
Policy Statements:
- Policy Against Discrimination, Harassment and Inappropriate Romantic Relationships — The University is committed to maintaining an environment free of discrimination or discriminatory harassment directed toward any person or group within its community – students, employees, or visitors. Academic and professional excellence can flourish only when each member of our community is assured an atmosphere of mutual respect. All members of the University community are responsible for the maintenance of an academic and work environment in which people are free to learn and work without fear of discrimination or discriminatory harassment. In addition, inappropriate Romantic relationships can undermine the University’s mission when those in positions of authority abuse or appear to abuse their authority. To that end, and in accordance with federal and state law, the University prohibits discrimination and discriminatory harassment, as well as inappropriate Romantic relationships, and such behavior will be met with appropriate disciplinary action, up to and including dismissal from the University. (More information is available at http://policy.uconn.edu/?p=2884.)
- Sexual Assault Reporting Policy — To protect the campus community, all non-confidential University employees (including faculty) are required to report assaults they witness or are told about to the Office of Diversity & Equity under the Sexual Assault Response Policy. The University takes all reports with the utmost seriousness. Please be aware that while the information you provide will remain private, it will not be confidential and will be shared with University officials who can help. (More information is available at http://sexualviolence.uconn.edu/.)
- Attendance — Your instructor expects you to attend class regularly. Besides being nearly essential for developing your understanding of the material, your regular attendance in class is good for the morale of the class and is indicative of your interest in the subject and your engagement in the course. You are responsible for the material discussed in class and in the assigned reading in the text.
- Student Conduct Code — Students are expected to conduct themselves in accordance with UConn’s Student Conduct Code.
- Academic Integrity Statement — This course expects all students to act in accordance with the Guidelines for Academic Integrity at the University of Connecticut. Because questions of intellectual property are important to the field of this course, we will discuss academic honesty as a topic and not just a policy. If you have questions about academic integrity or intellectual property, you should consult with your instructor. Additionally, consult UConn’s guidelines for academic integrity.
- Students with Disabilities — The Center for Students with Disabilities(CSD) at UConn provides accommodations and services for qualified students with disabilities. If you have a documented disability for which you wish to request academic accommodations and have not contacted the CSD, please do so as soon as possible. The CSD is located in Wilbur Cross, Room 204 and can be reached at (860) 486-2020 or at csd@uconn.edu. Detailed information regarding the accommodations process is also available on their website at www.csd.uconn.edu.
- Final Exam Policy — In accordance with UConn policy, students are required to be available for their final exam and/or complete any assessment during the time stated. If you have a conflict with this time you must obtain official permission to schedule a make-up exam with the Office of Student Support and Advocacy (OSSA). If permission is granted, OSSA will notify the instructor. Please note that vacations, previously purchased tickets or reservations, graduations, social events, misreading the assessment schedule, and oversleeping are not viable reasons for rescheduling a final.