Calculus III at the University of Kentucky
The prerequisite for this course is a grade of "C" or better in MA 114. A grade of "B" or better is strongly recommended. If you have any concerns about your readiness for this course please talk to your instructor as soon as possible!
Math 213 is a one-semester course in calculus of several variables including:
MA 213 consists of 3 lectures and 2 recitations per week. Each large lecture is divided into multiple sections for recitations.
There are three common exams:
Wednesday, February 6, 5:00-7:00 PM (vectors, equations of lines and planes, vector functions, quadric surfaces)
Wednesday, March 6, 5:00-7:00 PM (Differential calculus for functions of several variables)
Wednesday April 10, 5:00-7:00 PM (Multiple integrals and applications)
You can find exam room assignments by section here.
If you have a schedue conflict due to a class or University sponsored activity for any of these exams, please fill out the alternate request form as soon as possible
The final exam for this course will take place on Wednesday, May 1, 6:00-8:00 PM. You can find room assignments by section here.
If you have a conflict for the final exam (three exams on one day and MA 213 has the highest course number), please fill out the alternate request form as soon as possible
Visualization skills: Students will learn how to visualize, as well as describe mathematically,
Mathematical Skills: Students will develop mathematical skills to:
Study Skills:
For most students, Math 213 is also the last mathematics course with a supporting recitation. Recitation work will also include developing group and individual study skills that will help students succeed in subsequent mathematics courses.
Problem-Solving Skills: Most homework problems in Math 213 require multiple steps for their solution. Students will learn how to solve multi-step problems and write up careful, step-by-step solutions.
The course calendar is available as a pdf.
If you have a conflict for any of the evening exams or the final exam (three exams on one day and MA 213 has the highest course number), please fill out the alternate request form as soon as possible
| Peter Perry | 755 POT | 257-6791 | peter.perry@uky.edu |
| Nathaniel Stapleton | 765 POT | nat.j.stapleton@uky.edu | |
| Avinash Sathaye | 703 POT | 257-8832 | sathaye@uky.edu |
| Kasey Bray | 706 POT | 257-6805 | |
| Benjamin Brodie | 702 POT | 257-6804 | |
| Drew Duncan | 722 POT | ||
| Angela Hanson | 906 POT | 257-7217 | |
| Deborah Wilkerson | 702 POT | 257-6804 |
James Stewart, Calculus: Single and Multi-Variable (Custom edition for UK). This is a version of the full James Stewart's Calculus, 8th edition. You can use the full version, but the UK custom edition is somewhat cheaper. If you bought your textbook from the UK bookstore, you have access to Stewart's eBook version.
To access this eBook, you need a WebAssign account. The instructions can be found here. You will need a class key. This key is uky 5677 0227. WebAssign gives you free access for two weeks after the start of class. To continue to use WebAssign after that, you will need to enter the access code that came with the textbook you bought or purchase access online. Note that the eBook version is not required for this course.
All students should have an up-to-date browser for Canvas, and a graphing calculator.
To help visualize vector-valued functions, surfaces, functions of several variables, and vector fields, the following software is recommended:
To e-mail your instructor, click on your instructor name
| Sections 001-003 | Peter Perry | 9:00-9:50 AM, CB 110 |
| Sections 004-007 | Nat Stapleton | 1:00-1:50 PM, CB 110 |
| Sections 008-010 | Avinash Sathaye | 11:00-11:50 AM, CB 102 |
| Section 001 | Kasey Bray | 8:00-8:50 AM, CB 341 |
| Section 002 | Kasey Bray | 9:00-9:50 AM, CB 341 |
| Section 003 | Deborah Wilkerson | 10:00-10:50 AM, CB 341 |
| Section 004 | Deborah Wilkerson | 11:00-11:50 AM, CB 341 |
| Section 005 | Benjamin Brodie | 12:00-12:50 PM, CB 337 |
| Section 006 | Benjamin Brodie | 1:00-1:50 PM, CB 337 |
| Section 007 | Closed | |
| Section 008 | Angela Hanson | 3:00-3:50 PM, CB 339 |
| Section 009 | Drew Duncan | 10:00-10:50 AM, CB 337 |
| Section 010 | Drew Duncan | 11:00-11:50 AM, CB 337 |
You may use calculators on the homework and exams. You may not use any machine that has symbolic manipulation capabilities of any sort on any exam. This precludes the use of TI-89, TI-Nspire CAS, HP 48, TI 92, Voyage 200, Casio Classpad or laptop computer. Also, you may not use your mobile phone, iPhone or Blackberry on any exam even if you forget your regular calculator. If it runs Android, GEOS, iOS, Linux, MacOS, PalmOS, Ubuntu, Unix, Windows, or similar operating systems, you cannot use it on the exams. Answers that are simply the output of a calculator routine or a single numerical or symbolic expression that has no supporting work will receive little or no credit on exams.
For any written solutions to problems in this course, students are expected to submit work that is clear, legible, and well-written. Students should show all their work in an organized manner, using complete sentences to explain their solutions and justify their computations.
You should come to class prepared to work, pay careful attention to the instructor, and respect the right of other students to do so. Behavior such as reading email during class, texting, taking phone calls, updating your facebook page, reading the newspaper, interrupting classmates and speaking aloud without being called upon distract from the learning experience and infringe on the academic freedom of your fellow students. Instead, begin practicing the professional behavior that will be expected of you in the workplace! Students should only use electronic devices such as cell phones, tablets, and portable computers to take notes on the lecture (transcription or still pictures only, please). Other uses (such as videotaping, web surfing or the use of social media) are not appropriate in the classroom.
If you are having any difficulty with coursework, please seek out help as soon as possible. You can visit your lecture or recitation instructor during scheduled office hours, or call or e-mail them for an appointment if the scheduled office hours are not convenient. We will do everything we can to help and want every student to succeed.
You can also find help at the Mathskeller and The Study.
Your course grade will be based on:
| Web Homework | 50 |
| Lecture Attendance | 10 |
| Recitation Grade | 40 |
| 3 Evening Exams at 100 points each | 300 |
| 1 Final Exam | 100 |
| Total | 500 |
Letter grades will be assigned as follows:
| A | 450-500 |
| B | 400-449 |
| C | 350-399 |
| D | 300-349 |
| E | 0-299 |
Exams in Math 213 will consist of 10 multiple choice questions and four free-response questions. Student responses will be graded both for correctness of answers and clarity of presentation. The cover page of your exams will look like this. Examples of good solution writing will be presented both in lecture and in recitation so that expectations for student work will be clear. These problems will be inspired by the web homework and recommended problems from Stewart.
There will be three evening exams and one final exam:
Exam 1 (Vectors, Lines and Planes, Motion in Space) |
Wednesday, 2/6 5:00-7:00 PM |
Sections 12.1-12.6 and 13.1-13.4 |
Exam 2 (Differential Calculus of Several Variables) |
Wednesday, 3/6 5:00-7:00 PM |
14.1, 14.3-14.8, 15.1-15.2 |
Exam 3 (Integral Calculus of Several Variables) |
Wednesday, 4/10, 5:00-7:00 PM |
Sections 15.1-15.3, 15.6-15.9, 16.1-16.3 |
Final Exam (Cumulative, includes Calculus of Vector Fields) |
Wednesday, 5/1 6:00-8:00 PM |
All sections |
If you have a conflict for any of the evening exams (due to a University-sponsored activity) or the final exam (three exams on one day and MA 213 has the highest course number), please fill out the alternate request form as soon as possible
The following review sessions for Exams I-IV are open to all students:
Monday, February 4: Exam I Review Session, 6-8 PM, CP 139
Monday March 4: Exam II Review Session, 6-8 PM, CP 139
Monday, April 8: Exam III Review Session, 6-8 PM, CP 139
Tuesday, April 30: Exam IV Review Session, 6-8 PM, CP 139
Evening Exams2/6, 3/6, 4/105:00-7:00 PM
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Final Exam5/16:00-8:00PM
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Use these exams from 2017-2018 for practice. Be aware that the format and coverage of our exams will differ from previous exams.
1. The Spring 2019 final will cover sections 16.6-16.9 which were not covered in the previous final exams.
2. Our tests will contain both multiple choice and free-response questions. The cover page of your exam will look like this.
3. You can find practice tests for the multiple-choice portion of each exam here:
Exam 1 Multiple Choice Practice (Answers) |
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4. You can find old exams and answers from previous semesters here. The questions on these exams will provide some guidance for free-response questions in this course's exams, but be aware that coverage of some topics has changed. Ask your instructor if you're unsure whether a given question on an old exam is representative of material to be tested.
The homework has two equally important components, one graded, the other non-graded.
The graded component is using the WebWork online homework system. Most of you will be familiar with WebWork as it was used in Calculus I and II. For those who are new to WebWork, please see a brief introduction here. The due dates for the WebWork sets are here. Please note that if the due date is indicated, say, as Jan 17, the actual WebWork deadline is September 18, 3:00 AM. The answers will then be available 15 minutes later, on September 18, 3:15 AM. Please be aware that technical problems are always possible. It is not safe to do the homework at the last moment.
In addition to the WebWork sets, you will find a list of problems from Stewart here. Although these problems will not be graded, working on them will substantially improve your performance in this class.
Exam questions will be inspired by the webwork and Stewart problems, so it is to your advantage to work all problems from both components of the homework!
Quizzes will be given on the dates specified in the course calendar. There will be 10 quizzes. Calculators will not be allowed for quizzes. The quiz grades contribute to your overall course grade as described in the grading section of this website. After the quizzes are given, you can find solutions here.
| Quiz 1 | Quiz 2 | Quiz 3 | Quiz 4 | Quiz 5 |
| Quiz 6 | Quiz 7 | Quiz 8 | Quiz 9 | Quiz 10 |
Here are recitation worksheets. They will be uploaded generally by the Friday before the Tuesday recitation. Please print these prior to your recitation.
Attendance. Attend lectures and recitations regularly. Be on time and remain until dismissed. Do not leave in the middle of class. Instructors have the right to take off attendance points for coming late or leaving early. If you cannot come to lecture or recitation and would like to request an excused absence, inform the instructor as early as possible and provide documentation.
Excused absences. Students need to notify the instructor of absences prior to class when possible. Senate Rules 5.2.4.2 defines the following as acceptable reasons for excused absences: (a) serious illness, (b) illness or death of family member, (c) University-related trips, (d) major religious holidays, and (e) other circumstances found to fit “reasonable cause for nonattendance” by the professor. Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day in the semester to add a class. Two weeks prior to the absence is reasonable, but should not be given any later. Information regarding major religious holidays may be obtained through the Ombud (859-257-3737).
Per Senate Rule 5.2.4.2, students missing any graded work due to an excused absence are responsible: for informing the Instructor of Record about their excused absence within one week following the period of the excused absence (except where prior notification is required); and for making up the missed work. The professor must give the student an opportunity to make up the work and/or the exams missed due to an excused absence, and shall do so, if feasible, during the semester in which the absence occurred.
Students may be asked to verify their absences in order for them to be considered excused. Senate Rule 5.2.4.2 states that faculty have the right to request “appropriate verification” when students claim an excused absence because of illness, or death in the family. Appropriate notification of absences due to University-related trips is required prior to the absence when feasible and in no case more than one week after the absence.
Note that classes meet as indicated in the course calendar, including on the day following exams.
Unexcused Absences. Students are expected to withdraw from the class if more than 20% of the classes scheduled for the semester are missed (excused) per University policy.
Use of electronic devices. Electronic devices such as mobile phones, laptops and tablets should be put away or used only as part of class activities during lectures and recitations at the direction of instructors. Instructors may prohibit their use during class. Students who are not participating in class may be marked absent. Mobile phones, laptops, and computers may not be used during exams.
Students with disabilities. If you have a documented disability that requires academic accommodations, please see your instructor as soon as possible. In order to receive accommodations in this course, you must provide your instructor with a Letter of Accommodation from the Disability Resource Center. The Disability Resource Center coordinates campus disability services available to students with disabilities. It is located on the corner of Rose Street and Huguelet Drive in the Multidisciplinary Science Building, Suite 407. You can reach them via phone at (859) 257-2754 and via email at drc@uky.edu and at the DRC website.
Assignment deadlines and alternate exam policy. In order to be fair to all students, dates for exams and homework assignments are as listed on the course calendar. Missed work and exams may be made up only due to illness with medical documentation or for other unusual (documented) circumstances. If you have a university excused absence or a university-scheduled class conflict with uniform examinations please contact your lecturer as soon as possible, but at least two weeks before the exam, so that an alternate exam can be arranged for you.
University Policy on Academic Integrity. Per University policy, students shall not plagiarize, cheat, or falsify or misuse academic records. Students are expected to adhere to University policy on cheating and plagiarism in all courses. The minimum penalty for a first offense is a zero on the assignment on which the offense occurred. If the offense is considered severe or the student has other academic offenses on their record, more serious penalties, up to suspension from the University may be imposed. Plagiarism and cheating are serious breaches of academic conduct. Each student is advised to become familiar with the various forms of academic dishonesty as explained in the Code of Student Rights and Responsibilities. Complete information can be found at the Ombud website. A plea of ignorance is not acceptable as a defense against the charge of academic dishonesty. It is important that you review this information as all ideas borrowed from others need to be properly credited.
Senate Rules 6.3.1 (see Senate Rules for the current set of Senate Rules) states that all academic work, written or otherwise, submitted by students to their instructors or other academic supervisors, is expected to be the result of their own thought, research, or self-expression. In cases where students feel unsure about a question of plagiarism involving their work, they are obliged to consult their instructors on the matter before submission. When students submit work purporting to be their own, but which in any way borrows ideas, organization, wording, or content from another source without appropriate acknowledgment of the fact, the students are guilty of plagiarism.
Plagiarism includes reproducing someone else's work (including, but not limited to a published article, a book, a website, computer code, or a paper from a friend) without clear attribution. Plagiarism also includes the practice of employing or allowing another person to alter or revise the work, which a student submits as his/her own, whoever that other person may be. Students may discuss assignments among themselves or with an instructor or tutor, but when the actual work is done, it must be done by the student, and the student alone. When a student's assignment involves research in outside sources or information, the student must carefully acknowledge exactly what, where and how he/she has employed them. If the words of someone else are used, the student must put quotation marks around the passage in question and add an appropriate indication of its origin. Making simple changes while leaving the organization, content, and phraseology intact is plagiaristic. However, nothing in these Rules shall apply to those ideas, which are so generally and freely circulated as to be a part of the public domain.
Policy regarding collaboration. Mathematics is an inherently collaborative and social activity. Students are encouraged to work together to understand a problem and to develop a solution. However, the solution you submit for credit must be your own work. In particular, you should prepare your solutions to the written assignments independently and you should submit your answers for web homework independently. Copying on exams and usage of books, notes, or communication devices during examinations is not allowed. Cheating or plagiarism is a serious offense and will not be tolerated. Students are responsible for knowing the University policy on academic dishonesty.
Mid-term Grades. Mid-term grades will be posted in myUK by the deadline established in the Academic Calendar. All requests for corrections to grading should be addressed to your instructor. Requests should be made shortly after you receive the paper back and must be made within one day of the paper being returned.