MA 213 - Spring 2020

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 January 29
Alternate Exam 2 Requests due February 26
Alternate Exam 3 Requests due April 1
Alternate Exam 4 Requests due April 22

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 8866 3617

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.

 

Grading

Your course grade will be computed as follows:

Web Homework 40
Lecture Attendance 10
Recitation Attendance 10
Recitation Quizzes 40
Three Evening Exams (100 points each) 300
Final Exam 100
Total 500

 

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

Recommended Problems for each exam can be accessed here.  You are strongly encouraged to work as many of these problems, since exam problems will be either identical or very similar to these recommended problems.

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 Wednesday, May 6.

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 Section 7 of this course has 0 students.

Lectures

All lectures MWF.

Sections
Time
Room
Instructor
Office
E-Mail
1-3
9:00-9:50 AM
CB 110
Nathan Fieldsteel POT 767
nathan.fieldsteel@uky.edu
4-6
1:00-1:50 PM
CB 110
Serge Ochanine
POT 837
serge.ochanine@uky.edu
8-10
11:00-11:50 AM
CB 122
Nathan Fieldsteel POT 767
nathan.fieldsteel@uky.edu

Recitations

All recitations TR

Section
Time
Room
Instructor
Office
E-Mail
1
8:00-8:50 AM
CB 341
Shi-Zhuo Looi
POT 906
shizhuo.looi@uky.edu
2
9:00-9:50 AM
CB 341
Shi-Zhuo Looi POT 906 shizhuo.looi@uky.edu
3
10:00-10:50 AM
CB 341
Benjamin Jany
POT 902
benjamin.jany@uky.edu
4
11:00-11:50 AM
CB 341
Benjamin Jany POT 902 benjamin.jany@uky.edu
5
12:00-12:50 PM
CB 337
Benjamin Brodie
POT 702
benjamin.brodie@uky.edu
6
1:00-1:50 PM
CB 337
Benjamin Brodie POT 702
benjamin.brodie@uky.edu
8
1:00-1:50 PM CB 306
John Hall
POT 906
john.hall@uky.edu
9
10:00-10:50 AM
CB 337
William Trok
POT 718
william.trok@uky.edu
10
11:00-11:50 AM CB 337
William Trok POT 718
william.trok@uky.edu


           

Course Calendar

You can find a complete course calendar here

Exams

 

Exam 1: Wednesday, February 12, 5:00-7:00 PM
Exam 2: Wednesday, March 11, 5:00-7:00 PM
Exam 3: Wednesday, April 15, 5:00-7:00 PM
Exam 4: Wednesday, May 6 , 6:00-8:00 PM

 

Exams will consist of ten multiple choice questions and four free-response questions. No "cheat sheets" of any kind will be allowed on the exams.

Exam Room Assignments

 

Section Room
1-4 CB 106
5,6
CB 102
8-10
CB 118

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 January 29.

Requests for alternate Exam 2 are due by February 26.

Requests for alternate Exam 3 are due by April 1.

Requests for alternate Exam 4 are due by April 22.



Review Sessions

 

Exam 1 Review Monday, February 10 6:00-8:00 PM, JSB 321
Exam 2 Review Monday, March 9 6:00-8:00 PM, JSB 321
Exam 3 Review Monday, April 13 6:00-8:00 PM, JSB 321
Exam 4 Review Friday, May 1 3:30-5:30 PM, CB 118


Exam Answers

Exam 1

Exam 2


 

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