MATH 2850: Calculus III Fall 2017

Welcome to MATH 2850! In this syllabus you will find the basic information you need tonavigate the course, a description of what we will be studying this semester, and adviceintended to help you succeed in the course and make class time enjoyable and productive.Please read this document carefully and save it as a reference.

1 Basic Information

Instructor informationInstructor: Richard G. LigoEmail: richard-ligo@uiowa.eduOffice location: MLH 325NOffice phone: 319-335-3772Office hours: MW 1:30 p.m. - 3:30 p.m., F 1:30-2:30, and by appointment

Course informationTime: MWF 10:30 a.m. - 11:20 a.m.Location: MLH 210Course website: https://icon.uiowa.eduTextbook: Vector Calculus (4th Edition), by Susan J. Colley; ISBN: 978-0321780652Prerequisite: C- or better in MATH 1860

Grades: Your grade will be based on homework, quizzes, tests, and a cumulative final exam.It will be calculated using the following weights:

Homework Quizzes Test 1 Test 2 Test 3 Final Exam20% 15% 15% 15% 15% 20%

Grade cutoffs will be no higher than the following:

A A- B+ B B- C+ C C- D93 90 87 83 80 77 73 70 60

Tests: Tests will be take place during the allotted class time. Exams are tentatively sched-uled for the following dates:

Test 1 Test 2 Test 3 Final Exam9/22 10/21 11/17 12/13

Quizzes: A quiz given in class every Friday, except for the last Friday of the semester andthose Fridays on which you already have an exam. These quizzes will be based on problemsfrom your homework, and the lowest two quiz scores will be dropped.

Homework: This course has weekly homework assignments. While I encourage you todiscuss problems with other students, all submitted solutions must be written independently.Assignments will be graded on both completeness and correctness. I will drop your lowesttwo homework grades, so late assignments are not accepted.

Course website: I will be using the university-provided ICON page for all online coursematerials. Some of the things I will upload include class notes, homework assignments, andexample solutions. You should check this page regularly for updates.

2 Course Description

Goals of the course: My primary goal is to provide you with the spatial intuition andsymbolic ability to handle calculus problems in multiple dimensions. At its heart, multivari-able calculus is a beautiful marriage of the spatial and the symbolic, and a understanding ofthe relationship between the two will increase your ability to be successful in this course.

A second objective of this course is the development of mathematical maturity. By theend of the semester, you should aim to have significantly grown in your ability to interpretexamples and formulas from a mathematical text and demonstrate comfort in using the widevariety of notations used to perform calculus.

Specific course objectives: At the end of the course you should...

• Be comfortable manipulating vectors in space.

• Understand the multidimensional analogs of limits, derivatives, and integrals.

• Be able to describe mathematical objects with various coordinate systems.

• Recognize the differences between single and multivariable calculus.

Using your textbook: We will follow the book fairly closely, although we will not coverevery section. Reading the text before class is always a good idea, as it prepares you forthe minutia of unfamiliar notation and new formulas, and allows you to focus on the widerperspective. The majority of your homework problems will also come from the text.

Description from course catalog: Topics include multivariable calculus, vector functions,line integrals, total differentials, gradient, implicit functions, coordinate systems, extrema,multiple integrals, vector fields, surface integrals, Stokes’s theorem, Green’s theorem, anddivergence theorem.

Content outline:

Week Sections Assessment8/21 1.1-1.4, 1.7 Quiz 1.1-1.48/28 2.1-2.2 Quiz 2.19/4 2.3-2.5 Quiz 2.2-2.39/11 2.5-2.6 Quiz 2.5-2.69/18 3.1-3.3 Test 19/25 3.4, 4.2 Quiz 3.1-3.2, 3.410/2 4.3-4.4 Quiz 4.2-4.310/9 5.1-5.2 Quiz 5.210/16 5.3, 5.4 Test 210/23 5.4-5.5 Quiz 5.410/30 5.5-5.6 Quiz 5.511/6 6.1-6.2 Quiz 6.111/13 6.2-6.3 Test 311/27 7.1-7.2 Quiz 6.3, 7.112/4 7.2-7.3 No quiz

3 General Advice

1. Ask questions! Chances are, if you have a question, so do many other people in theclass, and they will be grateful if you ask. Don’t count on others to speak up for you.

2. Take notes in class. If I write it on the board, it’s worth saving in your notes! (I’ll letyou know in the rare cases that it’s not.)

3. Keep up with the coursework. Mathematical concepts can take a long time to processto full understanding, so DO NOT put off your work until the last minute.

4. Work with other people! Math is usually more fun with others, plus they will catchyour mistakes and force you to really understand what you’re talking about.

5. Write up your solutions on your own. While I want you to work together, you will stillbe responsible for understanding every part of every problem.

6. Invest explicit effort in learning definitions. A good command of definitions allows youto build your mathematical houses on firm foundations–they might fall down otherwise.

7. Stay organized. Old notes, homeworks, quizzes, and tests are critical study materials,so you want them to be easy to reference.

8. Do problems. You can convince yourself of anything if you read it or hear it enough,but practicing problems will make sure you actually know how to solve similar ones.

9. Come see me–my office hours exist for a reason! Whether you’re concerned about anassignment, the course, or your life, I’m always happy to meet with you individually.

10. Use of your phone or laptop in class for purposes unrelated to the course is generallyconsidered disrespectful and can distract me and your classmates. Kindly refrain.

4 The College’s Supplement to this Syllabus

The College of Liberal Arts and Sciences Policies and Procedures1

Administrative Home: The College of Liberal Arts and Sciences is the administrative home ofthis course and governs matters such as the add/drop deadlines, the second-grade-only option, andother related issues. Different colleges may have different policies. Questions may be addressed to120 Schaeffer Hall, or see the CLAS Academic Policies Handbook.

Electronic Communication: University policy specifies that students are responsible for allofficial correspondences sent to their University of Iowa e-mail address (@uiowa.edu). Faculty andstudents should use this account for correspondences (Operations Manual, III.15.2, k.11).

Accommodations for Disabilities: A student seeking academic accommodations should firstregister with Student Disability Services and then meet privately with the course instructor to makeparticular arrangements. See www.uiowa.edu/∼sds/ for more information.

Academic Honesty: All CLAS students or students taking classes offered by CLAS have, inessence, agreed to the College’s Code of Academic Honesty: “I pledge to do my own academicwork and to excel to the best of my abilities, upholding the IOWA Challenge. I promise not to lieabout my academic work, to cheat, or to steal the words or ideas of others; nor will I help fellowstudents to violate the Code of Academic Honesty.” Any student committing academic misconductis reported to the College and placed on disciplinary probation or may be suspended or expelled(CLAS Academic Policies Handbook).

CLAS Final Examination Policies: The final examination schedule for each class is announcedby the Registrar generally by the tenth day of classes. Final exams are offered only during theofficial final examination period. No exams of any kind are allowed during the last week of classes.All students should plan on being at the UI through the final examination period. Once theRegistrar has announced the date, time, and location of each final exam, the complete schedulewill be published on the Registrar’s web site and will be shared with instructors and students. Itis the student’s responsibility to know the date, time, and place of a final exam.

Making a Suggestion or a Complaint: Students with a suggestion or complaint should first visitwith the instructor (and the course supervisor), and then with the departmental DEO. Complaintsmust be made within six months of the incident (CLAS Academic Policies Handbook).

Understanding Sexual Harassment: Sexual harassment subverts the mission of the Universityand threatens the well-being of students, faculty, and staff. All members of the UI community have aresponsibility to uphold this mission and to contribute to a safe environment that enhances learning.Incidents of sexual harassment should be reported immediately. See the UI Comprehensive Guideon Sexual Harassment for assistance, definitions, and the full university policy.

Reacting Safely to Severe Weather: In severe weather, class members should seek appropriateshelter immediately, leaving the classroom if necessary. The class will continue if possible whenthe event is over. For more information on Hawk Alert and the siren warning system, visit theDepartment of Public Safety website.

1The CLAS policy statements have been summarized from the web pages of the College of Liberal Artsand Sciences