UW-Madison MATH 221 - Calculus and Analytic Geometry Syllabus

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Calculus and Analytic GeometryTuesday, Thursday 11:00-12:15, Van Vleck B102.Math 221—Milewski—Fall 2002-2003Office: Van Vleck 611, Tel: 262–3220, Email: [email protected] page: http://math.wisc.edu/∼milewskiOffice Hours: Tuesday 2:30–3:30, Thursday 9:00–10:30 and by appointment.Text: Varberg, Purcell & Rigdon, Calculus, 8th Edition, Prentice-Hall.Grades: The course grade is based on discussion (20 %), two midterm exams(20 % each) and a final exam (40 %). No calculators or notes will be allowed.The midterms are in class October 10 and November 21 and the Final exam ison Tuesday December 17, 10:05 am. Please mark these dates, as there are noscheduled make-ups.Homework: Problems listed below are due on Wednesday’s discussion. Thediscussion TAs will decide individually on grading policies for homework andpossible quizzes.Help: Your first line of help in this class is your discussion TA, during discus-sion and their office hours. I will be available at the office hours listed above.Many additional sources of help (such as the walk-in Math Lab) are listed athttp://www.math.wisc.edu/ tprogram/mathhelp.htmlSyllabusThe detailed syllabus below is intended to make you read the appropriatesections in the book before coming to class. This will allow the class to proceedfaster and more smoothly. Class attendance is mandatory.Week 1, September 3,5: Review, Coordinates, Functions.Sections 1.5,1.6,2.1,2.2,2.3. (Make sure you review all of Chapter 1.)Homework # 1 Due September 11: 1.1: 25–28, 40, 41. 1.3: 9,10,17–20,26,35.1.4: 5–8,21,22. 1.5: 8–11,14,15,24,25. 1.6: 11–14,21,48,49. 1.7 5,6. 2.1:3,7,8,14. 2.2: 1,4,13,17,18,33,34. 2.3: 1,10,15,21,22,25,29,30,52.Week 2, September 10,12: Functions, Limits.Sections 2.4,2.5,2.6,2.7Homework # 2 Due September 18: 2.4: 7,8,13,14,19,29,32,35,38. 2.5: 7–10.2.6: 5–8,23,24,36–38. 2.7: 1–6.Week 3, September 17,19: Continuity, Derivative.Sections 2.8,2.9,3.1Homework # 3 Due September 25: 2.8: 3–6,13,14,23–26,39,40,49. 2.9: 7–10,20,21,30–32,40,46. 3.1: 7,8,9,13,17,22,26.Week 4, September 24,26: Derivative.Sections 3.2,3.3,3.4Homework # 4 Due October 2: 3.2: 1,2,11–14,23,34,35,37,39,41,44. 3.3: 9–12,35–38,46,47,50,51,61. 3.4: 3–8,21–23.Week 5, October 1,3: Chain Rule, Applications of Derivative.Sections 3.5,3.6,3.7Homework # 5 Due October 9: 3.5: 7–11,38,39,41,42,47,48. 3.6: 2,5,17,18,,22,23,29,30.3.7: 6,7,11,12,19,26,27,31,40,41.Week 6, October 8,10: Applications of Derivative.Sections 3.8,3.9Midterm I, October 10Homework # 6 Due October 16: 3.8: 10,11,16,17,26,27,33,40,42. 3.9: 8,9,13,29.Week 7, October 15,17: Applications and Geometry of Functions.Sections 3.10,4.1,4.2,4.3Homework # 7 Due October 23: 3.10: 5,6,19,20,33,34. 4.1: 5–8,21,23,30,31.4.2: 8,9,16,17,23,24,32,33. 4.3: 2,3,9,10,14,15,29,30.Week 8, October 22,24: Applications and Mean Value Theorem.Sections 4.4,4.5,4.6,4.7Homework # 8 Due October 30:Week 9, October 29, November 31: Integral calculusSections 9.1,5.1,5.2Homework # 9 Due November 6:Week 10, November 5,7: Integral calculusSections 5.3,5.4,5.5Homework # 10 Due November 13:Week 11, November 12,14: Integral TheoremsSections 5.6,5.7,5.8Homework # 11 Due November 20:Week 12, November 19,21: Applications of IntegralsSection 6.1Midterm II, November 21Homework # 12 Due November 27:Week 13, November 26: Applications of Integrals, e.Sections 6.2,6.3,7.1,7.2Homework # 13 Due December 4:Week 14, December 3,5: Exponentials, logarithms, differential equations.Sections 7.3,7.4,7.5,7.6Homework # 14 Due December 11:Week 15, December 10,12: Limits, indeterminate forms.Sections 7.7,9.1,9.2Tuesday, December 17, 10:05 am, Final


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UW-Madison MATH 221 - Calculus and Analytic Geometry Syllabus

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