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Pitt MATH 1530 - COURSE SYLLABUS

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MATH 1530 Advanced Calculus 1 - Fall ’03CLASS MEETINGS: MWF, 12:00-12:50 PM, Thackeray 704INSTRUCTOR: Dr. Jonathan Rubin;office: Thackeray Hall # 504;phone: 624-6157;e-mail: [email protected];office hours (tentative): Mon. & Fri. 2:00-3:00 PM, Wed 4:00 - 5:00 PMweb: http://www.math.pitt.edu/∼rubin/classes/MATH1530/ma1530.html will contain home-work assignments and solutions, exam dates and related announcements, and this syl-labushttp://www.cds.caltech.edu/ marsden/bib src/eca/2001/errata eca2e7.pdf contains er-rata for our textbook (a long lis t, unfortunately!)TEXTBOOK: Elementary Classical Analysis, Second Edition, by Jerrold Marsden andMichael HoffmanCOURSE OBJECTIVES: Students who complete the sequence Math 1530-1540 are ex-pected to have mastered the introductory concepts and techniques of analysis needed to em-bark upon graduate-level coursework in mathematics or mathematics-intensive fields. Morespecifically, in Math 1530, you will be expected to:- experience an introduction to rigorous mathematical thinking and problem solving, andto the formal development of mathematical theory- learn the definitions and techniques of elementary classical analysis, and illustrate relatedideas with examples and counterexamples- develop the ability to make creative use of the concepts of analysis to prove results on theproperties of numbers, sets, and functions- gain facility at reading mathematical material, including technical proofs- improve your ability to write mathematical arguments clearly and correctly1ASSESSMENT - approximate!reading quizzes: roughly top 8 out of 10 at 5 points each ⇒ 40 pts.homework: roughly top 10 of 12 assignments at 20 points each ⇒ 200 pts.midterm: one exam at 100 pts.final: one exam at 200 pts.total: approximately 540 possible pts. can be earned in the courseLOGISTICS:Classes will feature a combination of lecture and discussion. Each Monday, a list ofsections for the following three classes (Wednesday through Monday) will be provided, inclass and on line. This handout will include a brief summary, any special instructions, alist of reading objectives, and a set of homework problems for each section. Students areexpected to come to class having read the day’s section and having completedthe problems at the end of that section. Class time will be spent discussing studentquestions, highlighting key points or subtleties from the relevant section, and going overproofs/problems from the section.The end-of-section problems will not be collected. The homework assignments for col-lection will be specified on the weekly handouts given each Monday. These will be collectedeach Wednesday, 9 days after they assigned. Students are strongly encouraged to complete,or attempt to complete, as much of the homework as possible in time to discuss problemsduring office hours on Monday (and possibly in class on Monday), if necess ary. Studentsare welcome to work together on homework. However, each student must turn in his orher own assignment, and no copying from another student’s work is permitted. In general,deadline extensions for homework will not be given. If you realize that you have a seriousconflict which may prevent your submitting an assignment on time, please talk to me as farin advance as possible.An in-class midterm exam will be given on October 13th. You should see me immediatelyif you have any conflict. I f you are sick the week of the exam or something like that, see meahead of time. Makeup exams will only be given through arrangements made prior to theexam date. The midterm is aimed to force you to consolidate the material you are learningand to give you a check as to w hether you are really understanding things as well as youshould be. It also gives me a chance to assess how well each student can apply this materialindependently. Because exams and review for exams take up class time, there will only beone in- class midterm - we need the extra time because there is so much material in thecourse. I may decide to supplement this with take-home exam questions, in which case theassessment scheme for the course will be updated accordingly.2The FINAL EXAM is scheduled for Friday, December 12th, 2:00-3:50 PM.All students should plan to take the exam at that time.HOW TO SUCCEED IN THIS COURSE:It is crucial that you keep up with the material in this course. When you read thetext, be sure to read the proofs at the end of each section. The postponement of proofsuntil the end of each section does not mean that they are not important! Infact, this type of course is largely about developing facility reading and creating proofs (aswell as applying the results that are proved). You may very well find that reading thismaterial is very time-consuming and demands full concentration: that is the idea! Youshould take the time to work through the material and to develop your own intuition aboutit by constructing examples, drawing pictures, discussing it with others - whatever it takes.Please also remember that your questions are always welcome.SCHEDULE:Ideally, we will go through almost all of the material from Sections 1.2 through 5.6 ofElementary Classical Analysis in Math 1530. This means we have 42 class meetings in whichto cover 35 sections of text. Take out one class for going over this syllabus, one class for amidterm exam, and two classes for review, and you can see that we are on a tight schedule.So generally, we will cover one section per class. The weekly handouts will let you know ofany variations in this pattern.MATH CAREER INFO:- 101 Careers in Mathematics by Andrew Sterrett, QA 10.5.A15, 1996- She Does Math! by Marla Parket, QA 27.5.S53, 1995- Careers for Number Crunchers and Other Quantitative Types by Rebecca Burnett- Math Sciences Career Info Web Site: http://www.ams.org/careers/- Society for Industrial and Applied Mathematics: http://www.siam.org/careers/- Mathematical Association of America: http://www.maa.org/careers/index.html- Take This Math Job and Love It: http://www.miracosta.cc.ca.us/info/Acad/Mathematics/math.htm- Plenty more links available at... http://math.uga.edu/∼shifrin/jobops.html“The science of numbers isn’t romantic...but without mathematics, man would still be anearthbound animal, running naked throughout the primeval forest.”−−Mary W


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