MA 213 - Fall 2018

Calculus III at the University of Kentucky

Course Description

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:

  • Geometry, vectors, and motion in two- and three-dimensional space
  • Differential calculus for functions of several variables
  • Integral calculus for functions of several variables
  • Calculus of Vector Functions
During the semester we'll become familiar with the following three new types of functions:
  • Vector-valued functions (functions from R to R2 or from R to R3) that describe motion of a particle in the plane or in space
  • Functions of several variables (functions from R2 to R or from R3 to R) that describe altitude, temperature, etc.
  • Vector fields (functions from R2 to R2 or from R3 to R3 that describe fluid flow, electromagnetic fields, etc.)

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, September 19, 5:00-7:00 PM (vectors, equations of lines and planes, vector functions, quadric surfaces)

Wednesday, October 17, 5:00-7:00 PM (Differential calculus for functions of several variables)

Wednesday November 14, 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 Thursday, December 13, 6:00-8:00 PM. You can find room assignments by section here.

Learning Outcomes

 

Visualization skills: Students will learn how to visualize, as well as describe mathematically,

  • Motion in two- and three-dimensional space
  • Graphs of functions of two variables, including maxima, minima, and saddle points
  • Regions described by polar, cylindrical, and spherical coordinates
  • Intersections of surfaces and volumes
  • Vector fields in two and three dimensions

Mathematical Skills: Students will develop mathematical skills to:

  • Compute physical quantities such as work (the dot product of force and distance for a constant force, or the line integral of force for a variable force) and torque (the cross product of force and displacement from the center of rotatation)
  • Describe the path of a particle moving in 2- or 3-dimensional space and compute velocity, acceleration and curvature along the path
  • Compute first- and second partial derivatives of a function of several variables and understand their geometric meaning
  • Find maxima and minima of functions of several variables subject to constraints
  • Compute physical quantities such as mass, area, volume, and moment of inertia using multiple integrals
  • Understand what a conservative vector field is and understand its relation to conservative forces in Physics
  • Know the basic operations of vector calculus including: gradient of a scalar function, and divergence and curl of a vector function, and understand their physical meaning

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.

Instructors

 

Lecture Instructors

 

Peter Bonventre 767 POT 257-4802 peterbonventre@uky.edu
Heide Gluesing-Luerssen 751 POT 257-6796 heide.gl@uky.edu
Peter Perry 755 POT 257-6791 peter.perry@uky.edu
Margaret Readdy 825 POT 257-4680 margaret.readdy@uky.edu

 

Recitation Instructors

 

Jacob Adams 702 POT   jacob.adams1@uky.edu
Samuel Herschenfeld 806 POT   samuel.herschenfeld@uky.edu
Eric Kaper Math House   eric.kaper@uky.edu
Shi-Zhuo Looi 806 POT   shizhuo.looi@uky.edu
Rafael Rojas 718 POT   rafael.rojas@uky.edu
Susanna Lange 702 POT   susanna.lange@uky.edu
Matias von Bell 706 POT   matias.vonbell@uky.edu
Jinping Zhuge 722 POT   jinping.zhuge@uky.edu

 

Textbook

 

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 5612 2220. 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.

Software Requirements and Recommendations

 

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:

  • Mathematica
  • MAPLE
  • GeoGebra, free online tools for graphing and visualization
  • Sage (a free, open-source software system with functionality similar ot Mathematica and MAPLE)
  • Wolfram Alpha (some functionality via web-based interface or mobile app, advanced functions available by subscription)

Class Meetings

 

To e-mail your instructor, click on your instructor name

Lectures (All Meetings in CB 110, MWF)

 

Sections 001-004 Peter Bonventre 8:00-8:50 AM
Sections 005-008 Heide Gluesing-Luerssen 9:00-9:50 AM
Sections 009-012 Peter Perry 11:00-11:50 AM
Sections 013-016 Margaret Readdy 1:00-1:50 PM

 

Recitations (All Meetings TR)

 

Section 001 Shi Zhuo Looi 8:00-8:50 AM, CB 307
Section 002 Shi Zhuo Looi 9:00-9:50 AM, CB 307
Section 003 Jacob Adams 10:00-10:50 AM, CB 307
Section 004 Jacob Adams 11:00-11:50 AM, CB 307
Section 005 Jinping Zhuge 8:00-8:50 AM, CB 342
Section 006 Jinping Zhuge 9:00-9:50 AM, CB 347
Section 007 Susanna Lange 10:00-10:50 AM, CB 347
Section 008 Susanna Lange 11:00-11:50 AM, DH 135
Section 009 Eric Kaper 12:00-12:50 PM, CB 307
Section 010 Eric Kaper 1:00-1:50 PM, CB 307
Section 011 Samuel Herschenfeld 2:00-2:50 PM, CB 307
Section 012 Samuel Herschenfeld 3:00-3:50 PM, CB 307
Section 013 Rafael Rojas 12:00-12:50, CP 287
Section 014 Rafael Rojas 1:00-1:50, CB 306
Section 015 Matias von Bell 2:00-2:50 PM, CB 245
Section 016 Matias von Bell 3:00-3:50, MMRB 243

 

Calculators

 

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.

Expectations for Student Work

 

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. 

Classroom Decorum

 

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.

Recording in the Classroom

Video and audio recordings are not permitted during the class unless the student has received prior permission from the Professors. If permission is granted, recording of other students is prohibited. Any distribution of recordings is also prohibited. Students with specific recording accommodations approved by the Disability Resource Center should present their official documentation to the professor. All content for this course, including handouts, assignments, and powerpoint lectures are the intellectual property of the instructors and cannot be reproduced, sold, or used for any purpose other than educational work in this class without prior permission from the professor.

Getting Help

 

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.

Grading

 

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

 

Unlike Math 113 and Math 114 exams, exams in Math 213 will consist of problems only, and student responses will be graded both for correctness of answers and clarity of presentation. Examples of good solution writing will be presented both in lecture and in recitation so that expectations for student work will be clear. Each exam will have six problems. These problems will be closely matched to 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)

Exam 1 Solutions

Wednesday, 9/19

5:00-7:00 PM

Sections 12.1-12.6 and 13.1-13.4

Exam 2 (Differential Calculus of Several Variables)

Exam 2 Solutions

Wednesday, 10/17

5:00-7:00 PM

Sections 13.4, 14.1-14.8

Exam 3 (Integral Calculus of Several Variables)

Exam 3 Solutions

Wednesday, 11/14,

5:00-7:00 PM

Sections 15.1-15.9
Final Exam (Cumulative, includes Calculus of Vector Fields)

Thursday, 12/13

6:00-8:00 PM

All sections

The following review sessions for Exams I and III are open to all students:

Monday, October 15: Exam II Review Session, 6-8 PM, BS 116

Monday November 12: Exam III Review Session, 6-8 PM, BS 116

Exam Room Assignments

 

Evening Exams

9/19, 10/17, 11/14

5:00-7:00 PM

 

Sections 001-002 CB 102
Sections 003-006 CB 106
Sections 007-008 CB 110
Sections 009-010 CB 114
Sections 011-014 CB 118
Sections 015-016 CB 122

 

Final Exam

12/13,

6:00-8:00PM

 

Sections 001-008 BE 111
Sections 009-013 BS 107
Sections 014-016 KAS 213

 

Old Exam Archive

Use these exams from 2017-2018 for practice. Be aware that the format and coverage of our exams may be slightly different.

 

Fall 2017 Exam 1 (Solutions) Spring 2018 Exam 1 (Solutions)
Fall 2017 Exam 2 (Solutions) Spring 2018 Exam 2 (Solutions)
Fall 2017 Exam 3 (Solutions) Spring 2018 Exam 3 (Solutions)
Fall 2017 Final Exam (Solutions) Spring 2018 Final (Solutions)

 

Homework

 

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 <link>. Please note that if the due date is indicated, say, as Sep 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 closely patterned on the webwork and Stewart problems, so it is to your advantage to work all problems from both components of the homework!

Quizzes

 

Quizzes will be given on the dates specified in the course calendar. 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

 

Policies

 

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.