MA 213 - Fall 2019

Calculus III at the University of Kentucky

Important Notices

 

Webwork Access

 

This course uses WebWork for online homework. Be sure to
access WebWork only through the Canvas module link!

 

Alternate Exam Requests

 

If you cannot make a scheduled exam, you must
request an alternate exam at least two weeks
before the scheduled exam!

 

You can request an alternate exam here

Alternate Exam 1 Requests due September 4
Alternate Exam 2 Requests due October 2
Alternate Exam 3 Requests due October 31
Alternate Exam 4 Requests due December 5

Course Text

Our course text is Calculus: Single and Multi-Variable - University of Kentucky Custom Edition (8th edition) by James Stewart. If you bought your textbook from the UK Bookstore, you have access to the ebook version. You can access an online copy through WebAssign using the following access key:

MA 213 - Calculus III
Class Key: uky 6190 4840

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 the 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, you will learn about four new types of functions:

  • Vector-valued functions (functions from R to R2 or 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.
  • Coordinate transformations (functions from R2 to R2 or from R3 to R3 ) that implement changes from Cartesian coordinates to polar, cylindrical, spherical, or other coordinate systems
  • Vector fields (functions from R2 to R2 or from R3 to R3 ) that describe the velocity field of a fluid, electric and magnetic fields, etc.

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 and acceleration 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.

Workflow

Lectures introduce mathematical concepts and problem solving methods. Recitations provide problem-solving practice. You should print out the recitation worksheets for the semester and be sure to work on all of the suggested problems, even if they are not completed in recitation.

You should devote time outside of class to Math 213 every day. Here is a suggested weekly agenda:

Sunday Read and study the section in the text to be covered in Monday's lecture
Monday Review material from Monday's lecture. Begin WebWork due Wednesday and prepare for Tuesday recitation
Tuesday Continue working on WebWork due Wednesday; read and study the section in the text to be covered in Wednesday's lectures
Wednesday Review material from Wednesday's lecture. Begin WebWork due Friday. Study for recitation quiz on Thursday and prepare for Thursday recitation.
Thursday Continue working on WebWork due Friday. Read and study the section to be covered in Friday's lecture.
Friday Finish WebWork due tonight.

 

Remember that there is Additional webwork due on Monday, 23 September, Monday, 14 October, Monday, 28 October, and Monday, 25 November. Please modify the above schedule accordingly for these weeks!

Grading

Your course grade will be computed as follows:

Web Homework40
Lecture Attendance10
Recitation Attendance10
Recitation Quizzes40
Three Evening Exams (100 points each)300
Final Exam100
Total500

 

Web Homework is typically due Wednesday and Friday (there are some webworks due on Monday; please see the course calendar for details). We will use WebWork and you should always access WebWork through Canvas! If you are not familiar with WebWork, you will find a brief introduction here

Lecture attendance is based on sign-in sheets distributed during lecture. Each student is allowed up to three unexcused absences during the term. If you believe you will have more than three excused absences from lecture, be sure to save documentation of illness or family emergency and be prepared to present this documentation during the last week of classes.

Recitation attendance will be taken at each meeting. Each student is allowed up to two unexcused absences.

Recitation quizzes are given each Thursday during non-exam weeks beginning with the second week of classes. They typically cover material from the previous week. There will be ten quizzes counting 4 points each.

Evening Exams will cover material specified on the course calendar. There will be ten multiple choice questions and four free response questions on each exam. The cover sheet of each exam will look like this.

The Final Exam will be comprehensive and will take place 6:00-8:00 PM on Thursday, December 19.

Letter grades will be as follows:

A 450-500
B 400-449
C 350-399
D 300-349
E 0-299

Calculators

You may use calculators on the homework. You may not use a calculator that has symbolic manipulation capabilities. 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 have no supporting work will receive little or no credit on exams.

Expectations for Student Work

Any written solutions to problems in this course should be 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.

You can find a summary of UK policies that relate to all mathematics courses here. These policies govern excused and unexcused absences, use of electronic devices, support for students with disabilities, assignment deadlines, academic integrity, collaboration, and mid-term grades. All of these policies are in force for this course and you are responsible for knowing them. Please read carefully!

Note Sections 15 and 20 of this course have 0 students.

Lectures

All lectures MWF in CB 110.

 

Sections Time Instructor Office E-Mail Phone
1-4 8:00-8:50 Professor Larry Harris 939 POT larry@uky.edu 7-1549
5-8 9:00-9:50 Professor Richard Carey 965 POT carey@uky.edu 7-3745
9-12 11:00-11:50 Professor Zhongwei Shen 737 POT zshen2@uky.edu 7-3231
13,14,16 12:00-12:50 Professor Margaret Readdy 825 POT margaret.readdy@uky.edu 7-4680
17,18,19    1:00-1:50   Professor Peter Perry 755 POT peter.perry@uky.edu 7-6791

Recitations

All recitations TR

 

            
Section Room and Time Instructor Office Phone E-Mail
Section 1 FB 306A, 8:00-8:50 AM Ang Li 722 POT NA ali266@uky.edu
Section 2 FB 307B, 9:00-9:50 AM Ben Brodie 702 POT 7-6804 benjamin.brodie@uky.edu
Section 3 CB 307, 10:00-10:50 AM Ben Brodie
Section 4 MH 101, 11:00-11:50 AM Kaelin Cook-Powell 722 POT NA kaelin.cook-powell@uky.edu
Section 5 CB 215 8:00-8:50 AM Gayan Maduranga 706 POT 7-6805 kdgmaduranga@uky.edu
Section 6 CB 347, 9:00-9:50 AM Gayan Maduranga 706 POT 7-6805 kdgmaduranga@uky.edu
Section 7 FB 307B, 10:00-10:50 AM William Gustafson 902 POT NA williamlgustafson@uky.edu
Section 8 CB 307, 11:00-11:50 AM William Gustafson
Section 9 CP 297, 12:00-12:50 PM Michael Shaw TBA NA shaw.math@uky.edu
Section 10 CP297, 1:00-1:50 PM Michael Shaw
Section 11 CB 219, 2:00-2:50 PM Landon Gauthier 906 POT NA gauthierl@uky.edu
Section 12 CB 245, 3:00-3:50 AM Landon Gauthier
Section 13 PAHA 218, 12:00-12:50 PM Chase Ashby 902 POT NA chase.ashby617@uky.edu
Section 14 PAHA 218, 1:00-1:50 PM Chase Ashby
Section 16 FB 307A, 3:00-3:50 PM Kaelin Cook-Powell 722 POT NA kaelin.cook-powell@uky.edu
Section 17 CP 287, 12:00-12:50 PM Sarah Hadaidi POT 706 NA sarah.hadaidi@uky.edu
Section 18 CP 287, 1:00-1:50 PM Sarah Hadaidi
Section 19 FB 307A, 2:00-2:50 PM Ang Li 722 POT NA ali266@uky.edu

Instructor Websites - Lectures

Instructor Websites - Recitations

Course Calendar

You can find a complete course calendar here

Exams

 

Exam 1:Wednesday, September 18, 5:00-7:00 PM
Exam 2:Wednesday, October 16, 5:00-7:00 PM
Exam 3:Wednesday, November 13, 5:00-7:00 PM
Exam 4:Thursday, December 19, 6:00-8:00 PM

 

Exams will consist of ten multiple choice questions and four free-response questions. Students will be allowed one 8-1/2" x 11" sheet of paper, printed on both sides, as a ``cheat sheet.'' The cover sheet of your exam will always look like this.

Exam Room Assignments

 

Section Room
1,2CB 102
3,4,5,6,7CB 106
8,9 CB 110
10,11 CB 114
12,13,14,16,17CB 118
18,19CB 122

Alternate Exams

 

You are required to take these exams at the scheduled times unless you have a compelling conflict due to a scheduled class or university-sponsored activity. If you need to schedule an alternate exam, please use the Alternate Exam Request Form at least two weeks before the scheduled exam.

Requests for alternate Exam 1 are due by September 4.

Requests for alternate Exam 2 are due by October 2.

Requests for alternate Exam 3 are due by October 31.

Requests for alternate Exam 4 are due by December 5.

Review Sessions

 

 

Exam 1 ReviewMonday, September 16 6:00-8:00 PM, KAS 213
Exam 2 ReviewMonday, October 14 6:00-8:00 PM, KAS 213
Exam 3 ReviewMonday, November 11 6:00-8:00 PM, KAS 213
Exam 4 ReviewWednesday, December 18 3:30-5:30 PM, CB 106

Exam Answers

Answers to hour exams together with the grading rubric will be posted immediately after the exam takes place. Answers to alternate exams and the grading rubric for alternate exams will be posted after all students have taken the alternate exam.

 

Exam 1 Answers

Alternate Exam 1 Answers

Exam 2 Answers

Alternate Exam 2 Answers

Exam 3 Answers

Alternate Exam 3 Answers

Exam 4 Answers

 

Old Exams

 

You can find a library of old Math 213 exams here

Quiz Solutions

Quiz solutions will be posted within one week after each recitation quiz.

Quiz 1 Solutions Quiz 2 Solutions Quiz 3 Solutions Quiz 4 Solutions
Quiz 5 Solutions Quiz 6 Solutions Quiz 7 Solutions Quiz 8 Solutions
Quiz 9 Solutions Quiz 10 Solutions