Syllabus for Mat2500, Fall, 2008Call Number: 72-655Class Time: 9:05–9:55am, Graduate Studies Building, Rm. 304Instructor: Ming-Jun LaiOffice: Room 540 Boyd Graduate Studies BuildingOffice Hours: 2:30–3:30pm MWF or by appointmentPhone Number: (706)542–2065Email Address: [email protected]: University Calculus, Hass, Weir & Thomas, Addison-Wesley.Webpage: www.math.uga.edu/∼mjlai/teaching.htmlCourse ObjectivesIn this course, you will learn the multivariate differential and integral calculus. In addition,you will learn vector analysis. You will see many concepts such as vectors, cross-product, partialderivatives, gradient, tangent plane, polar coordinates, parametric curves, line integrals, surfaceinteg rals, etc. and many theorems such as Lagrange Multiplier Theorem, Green’s Theorem, Di-vergence Theorem, Stokes Theorem, as well as many integral techniques for double and tripleintegrals.Your Major ResponsibilitiesAttend the class regularly although a r oll is not usually taken. Be a good citizen during theclass by doing all the assignments. In particular, do the exercises after each class so that you canunderstand the material in the next class. Homework will not be collected. Note that there isno way you can learn multivariate calculus without doing a lot of homework.There are four tests and one final examination. Th e test dates are as follows:Sept. 5(TEST 1), Oct. 3(TEST 2), Oct. 29(TEST 3), Dec. 5(TEST 4), and Dec.15(FINAL)Please do not miss these dates. No make up tests are allowed unless you have valid reasons(sick (doctor note), accident (police note), tournaments(coach note)).When answering homework and test problems, please use correct notation (be especially care-ful about parentheses and equals s igns), and use complete grammatical sentences in the Englishlanguage where appropriate. Calculation without explanation is incomprehensible. Messy and con-fused writing usually reflects messy and confused thinking, so please aim for clear thought! Allwork for the class is s ubject to the Academic Honesty Policy of the University of Georgia.There will be a quizz every day except f or the first and last day of class and four test dates.All quizzes are based on exercises in the textbook. I will not collect any other homework. Quizzgrades serve for your homework grade. The best 33 out 39 quizze grades will be counted.Tentative ScheduleI will lecture Chapters 10 and 11 in the first three weeks. Starting from Sept. 8, I will lectureChapter 12 till th e end of September. Then I will teach Chapter 13 in Oct. In Nov. and Dec., Iwill focus on Chapter 14. Please pay attend to the following exercises:§11.1: #1, 4, 7, 9, 11, 21, 23§11.2: #1, 7, 9, 19, 24;§11.3: #1, 5, 7, [12], 19§12.1: #3, 5, 7, 9, 13–18, 21, 22, 27, 33, 35, 37, 381§12.3: #5, 7, 12, 16, 25, 26, 43, 51, 57, 59, 60, 65, 66, 69§12.4: #3, 7, 9, 11, 15, 27, 29, 39, 40, 42, 47, [49, 50]§12.5: #1, 3, 5, 7, 9, 14, 17, 20, 25, 28, 31§12.6: #1, 5, 8, 12, 21, 23, 24, 33, 35, 39, 45, 49§12.7: #1, 5, 14, 17, 19, 23, 35, 39, 47§12.8: #1, 5, 7, 9, 10, 11, 17, 25, 27, 30, [43, 44]§13.1: #1, 5, 7, 15, 19, 23, 25;§13.2: #1, 3, 7, 11, 12, 13, 17, 19, 25, 28, 31, 35, 38, [54, 55]§13.3: #3, 9, 11, 13, 16, 18;§13.4: # 3, 7, 9, 12, 13, 18, 23, 25, 26, 31, 32§13.5: #9, 14, 21, 25, 29, 30, [47]§13.6: #4, 13, 21, 25, [35, 36, 37]§13.7: #1, 11, 12, 15, 19, 25, 37, 40, 43, 47, 53, 62, 65, 74§14.1: #18, 11, 23;§14.2: #1, 5, 7, 12, 15, 23, 25, 27, 43§14.3: #16, 8, 9, 11, 14, 19, 22, 25, 30, [38]§14.4: #3, 5, 7, 11, 16, 22, 23, 26, 33, [34]§14.5: #[1], 5, 7, 11, 13, 17, [23];§14.6: #2, 3, 5, 8, 17, 20, [21], 31, 32, 43§14.7: #2, 3, 5, 9, 10, 21, [23], 26§14.8: #1, 2, 5, 6, 8, 11, 13, 17, [21], 22, [27, 29, 30]Problems listed in brackets and the followin g additional assignment are best saved for thebetter students.Additional and Advanced Exercises: #1, 2 of Chapter 11Additional and Advanced Exercises: #3, 8, 13, 19 of Chapter 12Additional and Advanced Exercises: #2, 7, 11, 15, 26 of Chapter 13Additional and Advanced Exercises: #3, 5, 9, 13, 16, 19 of Chapter 14Grading Policy:TEST 1 100 pointsTEST 2 100 pointsTEST 3 100 pointsTEST 4 100 pointsFinal E x am. 200 pointsHomework 200 pointsTotal 800 pointsFixed Scale:A 90+% A- 87 − 90−% B+ 83 − 87−% B 80 − 83−%B- 77 − 80−% C+ 73 − 77−% C 67 − 73−% C- 63 − 67−%D 53 − 63−% F <