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Welcome to MATH 2500!. Multivariable Calculus Instructor: Dr. David Swinarski. Agenda for today. Administrative topics: Introductions Discuss the course Mathematical topics: begin 3-D geometry. Introductions. About me: Ph.D in math, May 2008, Columbia University
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Welcome to MATH 2500! Multivariable Calculus Instructor: Dr. David Swinarski
Agenda for today • Administrative topics: • Introductions • Discuss the course • Mathematical topics: • begin 3-D geometry
Introductions • About me: • Ph.D in math, May 2008, Columbia University • masters degree, Oxford University • majored in math/English, Notre Dame • grew up in Minnesota • Previous teaching: 2500, 2250; multivariable calculus at Columbia, TA for finance classes, tutoring
Research • Algebraic geometry • geometry of polynomial equations • I look at ways of using polynomials to describe surfaces • Undergraduate: Chemistry • Computer modelling and synthesis in organic chemistry
My contact info • Office: 436 Boyd Graduate Studies • Office phone: none • Cell phone: (917)-733-3016 • no text messages, please • webpage: http://www.math.uga.edu/~davids • email addresses: davids@math.uga.edu swinarsk@uga.edu
Introductions (cont.) • Let’s go around the room. Please introduce yourself: • Name • What year of college are you beginning? • Are you new to UGA? • Major
Introductions (cont.) • Please take a moment to exchange contact info (email, phone #) with two people sitting near you
Quick poll • How many of you took MATH 2250 at UGA? • How many of you took MATH 2260 at UGA? • How many of you have taken a multivariable calculus class before? • How many of you have taken physics? • How many of you have taken statistics?
Course design • Here at UGA we teach calculus in three semesters • MATH 2250, 2260 are 4 hour courses • MATH 2500 has more material, the material is more difficult, and it’s only a 3 hour course • You may need to spend more time this semester studying the material outside of lectures than you needed to for your previous calculus courses
Course design • We use one book for all three semesters • The dept. has developed a syllabus of which sections to cover and how many days to spend on each one • I’m in touch with Profs. Graham, Lyall • I have two teaching mentors, Ted Shifrin and Gordana Matic • They will observe class a few times this semester • I consult with them on writing tests and grading
Class meetings • MWF 9:05-9:55pm, 304 Boyd • Class starts Monday, August 17 and goes to Tuesday, Dec. 8 with these exceptions: • no class on Mon., Sep. 7 (Labor Day) • no class Fri. Oct. 30 (fall break) • no class Nov. 23-27 (Thanksgiving) • one extra class on Tues. Dec. 8 • Final exam: Mon., Dec. 14, 8:00-11:00AM
Textbook • University Calculus, by Hass, Weir and Thomas • this semester we will review Chapter 10 and cover Chapters 11-14
Prerequisites • solid grasp of high school algebra and trigonometry • solid grasp of calculus as covered in MATH 2250 and MATH 2260 • If you are worried that you might be a little shaky on this older material, be very aggressive about seeking help early and often!
Grading • Final course grades will be curved (though not each exam). I’ll try to give you an idea after each exam of how I would curve • Grades will be based on the following: • Homework and quizzes (14%) • 3 midterm exams (19% each) • Final exam (29%) • I take individual circumstances into account when curving.
Homework • I will assign two problems every class. They will be due at the beginning of the next lecture. They will be graded and returned to you at the next lecture after that. • The amount of graded homework is NOT enough practice to prepare you for the tests. You need to do some recommended problems, too. • No late work will be accepted. You can miss up to two homeworks per exam without any penalty.
Recommended problems • On my webpage I will post recommended problems from the book for each section that we cover. • Answers to odd questions are in the back of the book. I will find a way to post solutions to the others for you. • These give you additional practice over the homework and, together with problems we do in class and the homework problems, are a major source of test questions.
Advice Coming to class and doing the homework are the bare minimum. • Successful students last semester did things like: • Try recommended problems • Read the book • Ask questions in class • Come to office hours • Work with your classmates
eLearning Commons • UGA has a website for handling course data online: https://www.elc.uga.edu • Things I plan to post here: • Homework assignment questions • Solutions to recommended problems and tests • Online gradebook • Online calendar
Quizzes • We will have 2-3 quizzes before the few test, but probably not after that • May come at any time • May be announced in advance, or a surprise (“pop quiz”)
Midterm tests • Dates will be announced at least two weeks in advance • Closed book, closed note • No electronics: calculators, computers, cell phones... • I may institute any of the following: • leave coats and bags at side of the room • random seating chart • more than one version of exam
Review for tests • I will do an evening review session before each test • Admission price: You have to turn in one question (just the question, not the answer) that you’d like to hear discussed at the review session
Old tests • Will be posted on my website • They are old tests. They are NOT practice tests • I am breaking up the material differently and covering it in a slightly different order than I did last year • I think doing the recommended problems is probably better preparation than looking at the old tests
Final Exam • No books, notes, calculators... • Will be cumulative, but will slightly emphasize material covered in the last month of class. • This is very difficult material! • Scheduled by the University for Monday, Dec. 8, 8-11am • This could change
Late work/missed exams • Generally you will get zero points • exception: medical or family emergencies with proper documentation • Contact me ASAP to discuss an extension/excusal/make up
Disabilities/health issues • If you have a disability or health issue which you believe merits accommodation, (e.g. extra time on tests, tests in a quiet room, notetaker) please see me ASAP to discuss it so that arrangements can be made as quickly as possible
Attendance • It’s your responsibility to know what was covered in class. • Math Department’s policy: if you have 4 or more unexcused absences, I may give you a WF
Honesty • UGA has an honesty policy • A Culture of Honesty • If I suspect cheating on a quiz or exam, I will report it • If it is up to me, I will give you an F for the class...university committees can increase or decrease that penalty
Technology • You may use calculators and computers on your homework. There will even be some required computer work. • No calculators or computers on quizzes or exams • You don’t need to buy an expensive calculator for this course...lots of things are free over the internet • No laptops allowed during chalkboard lectures • I use colored chalk a lot. You might want to bring red, blue, green colored pens
Help and Tutoring • Lots of help is available: • There will be some time in class to ask questions • Ask before or after class • Office hours • Math study hall: M-Th 3:30-5:30 322 Boyd • Milledge Hall: follow links at www.uga.edu/dae • Online tutoring: also go to www.uga.edu/dae • Private tutoring
Office hours • I propose: • 30 min. before class, 1 hour after class • One more hour: Discuss • Don’t be shy about making appointments! Email me or call my cell phone to set one up
Withdrawals • UGA has two kinds of withdrawals: WP and WF • You must be doing passing work to receive a WP • There are new rules about how many WP’s you can receive • You initiate withdrawals. After you do, I get an email to complete my part of it. • I encourage you to talk to your advisor, or a professor in your major dept., before you withdraw • If you are undergoing some kind of hardship during the semester that prohibits you from doing your best work, I strongly encourage you to talk to someone about it • a professor, an advisor, a dean, a counselor, a doctor, a chaplain...
Preview -3-dimensional geometry -Parametrized curves in 3-dimensional space -Surfaces and optimization -Multiple integrals to find areas, volumes of 2 and 3-dimensional objects -Line integrals and applications -Surface integrals and applications -Vector fields and applications