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Syllabus for Mat2500, Fall, 2007Call Number: 31–647Class Time: 10:10–11:00am, Graduate Studies Building, Rm. 303Instructor: Ming-Jun LaiOffice: Room 540 Boyd Graduate Studies BuildingOffice Hours: 2:30–3:30pm MWF or by appointmentPhone Number:542–2065Text: Calculus, Edwards & Penney, 6 th Edition, 2003.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, surfaceintegrals, 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 roll is not usually taken. Be a good citizen during theclass. Do all assignments. In particular, do the home assignment after each class so that you canunderstand the material in the next class. Homework will be collected on Fr idays. Note that thereis no way you can learn multivariate calculus without doing a lot of homework. There arethree tests and one final. When answering homework and test problems, please use correct notation(be especially careful about parentheses and equals signs), and use complete grammatical sentencesin the English language where app ropriate. Calculation without explanation is incompr eh en s ible.Messy and confused writing usually reflects messy and confused thinking, so aim for clear thought!All work for th e class is su bject to the Academic Honesty Policy of the University of Georgia.Tentative ScheduleDate Sections Topics Home Work8/17F §11.1 Vectors in R21,3,7,13,15,19,25, 27,29,31,378/20M §11.2 Vectors in R31,3,5,7,9, 11,19,22,24, 25, 278/22W §11.2 Vectors in R339, 41,43,45,47,49,53, 58, 59, 608/24F §11.3 Cross-Product 1,3,5,7,11,12,14,15,19,21,23,35,368/27M §11.4 Lines in R31,3,5,7,9,11,13,15,17,198/29W §11.4 Planes in R321,23,25,27,31,33,35,37,41,49,558/31F §11.5 Curves in Space 1,3,5,7,9,11,13,159/3M §11.5 Curves in Space (II) 17,19,21,23,25,27,31,33,36,39,49,52,559/5W Review9/7F Test I9/10M §12.2 Functions of Several Variables 3,5,12,19,37,39,53,55,579/12W §12.3 Limits, Continuity 3,7,11,17,19,21,23,30,37,409/14F §12.4 Partial Derivatives 1,3,5,13,19,23,31,33,37,40,55,589/17M §12.5 Max. & Min. Problems 1,5,7,11, 15, 19, 21,25,279/19W §12.5 Max. & Min. Problem 29,31,36,39,41,43,45,49,53,5619/21F §12.6 Linear Approximation 1,3,15,17,21,23,25,29,31,359/24M §12.7 Chain Rule 1,3,5,7,9,11,15,17,19,21,23,9/26W §12.7 Chain Rule(II) 25, 27, 29, 31,33,35,38,41,42,45,479/28F §12.8 Gradient Vectors 3,5,6,7, 9,11,13,15,1910/1M §12.8 Gradient Vectors(I I) 21,23,25,29,33,35,43,4410/3W §12.9 Lagrange Multipliers 1,3,5,7,9,15,17,19,21,2310/5F §12.9 Lagrange Multipliers(II) 25,27,36,37,41,44,47,51,5310/8M §12.10 Second Derivative Test 1,3,7,17,21,23,30,3110/10W Review10/12F Test II10/15M §13.1 Double Integrals 1,4,7,11,13,17,21,27,29,3510/17W §13.2 Double Integrals (II) 1,3,5,9,12,19,25,31,2910/19F §13.3 Area and Volume 11,21,27,29,35,4110/22M §9.2 Polar Coordinates 1,2, 3,5,7,11, 13,15,19,21,23,27,29,3010/24W §13.4 Double Integrals(Polar Coordinates) 3,4,9,13,17,19,29,3310/26F Fall Break10/29M §13.5 Applications 5,7,11,15,22,33,41,43,5310/31W §13.6 Triple Integrals 1,3,5,9,11,17,23,39,4011/2F §13.7 Cylinderic & Spherical Coordinates 1,5,7,15,19,23,33,3 711/5M Review11/7W Test III11/9F §14.1 Vector Fields 1,3,5,9,11,13,15,19,23,32,4311/12M §14.2 Line Integrals 1,3,5,7,9,11,13,1511/14W §14.2 Linear Integrals(II) 17,19,21,25,27,29,33,3511/16F §14.3 Independence of Path 3,5,9,17,21,25,27,3011/19M §14.4 Green’s Theorem 1,3,5,7,13,15,17,1911/21W–23F Thanksgiving Holiday11/26M §14.4 Green’s Theorem(II) 21,23,25,27,2911/28W §14.5 Surface Integrals (I) 1,3,5,7,11,13,15,1711/30F §14.5 Surface Integrals (II) 19,21,23,27,29,37,3912/3M §14.6 Divergence Theorem 1, 7,11,13,15,16,1712/4T §14.7 Stokes’ Theorem 1,3,7,9,1512/5W Review for Final12/14F Final Exam. 8:00–11:00amGrading Policy:TEST I 100 pointsTEST II 100 pointsTEST III 100 pointsFinal Exam. 200 pointsHomeWork 100p ointsTotal 600 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 <


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