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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 MAP 2302 .07 Differential Equations Spring 2004 , 3 credit hours INSTRUCTOR Dr. David Kaup OFFICE 202C OFFICE HOURS MWR 12:30-1:30 Other hours by appointment PHONE 407-823-2795 EMAIL kaup@ucf.edu CLASS LOCATION    MAP 121 CLASS TIMES TR 3:30p - 4:45p TEXTBOOK DIFFERENTIAL EQUATIONS, 5TH EDITION by D.G. ZILL ATTENDANCE POLICY Attendance will be expected, and sometimes taken. HOMEWORK Homework will not be collected or graded. Solutions will not be posted. Random quizzes may be given. Homework assignments: Jan. 8: Sect.1.1; 1,3,5,7,13,15,17,20,25,27,34,39,48,49,52 Jan. 13: Sect. 1.2; 1,2,3,5,13: Ch. 1 Review; 1,2,3,4,5,7,9,13,15: Jan. 15: Sect. 2.1; 1,5,13,17,19 Jan. 20: Sect. 2.2; 3,5,9,15,23,27,31,39,41,43,47,53 Jan. 22: Sect. 2.3; 1,3,5,7,9,13,17,21,25,29,33,35,39,43 Jan. 22 Sect. 2.4; 1,5,7,11,15,19,23,27,29,31,35,39,41 Jan. 27 Sect. 2.5; 1,5,11,15,19,23,25,27,29,43,45,49 Jan. 27 Sect. 2.6; 1,3,5 Feb. 3 - Exam #1 – Chapters 1 and 2 Feb. 12 Sect. 4.1; 1,3,7,11,13,15,17,21,25,27,33,35,39,41,43,47 Feb. 17 Sect. 4.2; 3,7,9,15,19,23,29 Feb. 19 Sect. 4.3; 1,7,9,15,19,25,31,39,43,47,53,57,61 Feb. 24 Sect. 4.4; 3,9,11,15,19,21,23,25,27,31,35,37 Feb. 26 Sect. 4.5; 3,5,7,9,13,15,17,19,21,23,27,29,31,33,35,39 Feb. 26 Sect. 4.6; 4,5,7,11,15,17,21,25,26,35,43 Mar. 4 – Exam #2 – Chapter 4: Sections 4.1 – 4.6 Mar. 16 Sect. 4.7; 3,7,11,25,21,27,31 Mar. 18 Sect. 6.1; 3,7,11,17,21,25,29,33 Mar. 23 Sect. 6.2; 3,5,7,9,13,15,19,23,25,29 Mar. 25 Sect. 6.3; 3,7,11,17,21,23 Mar. 30 Sect. 6.4; 1,5,7,13 April 6 – Exam #3: Sections 4.7 – 6.4Apr. 9 Sect. 7.1; 3,9,11,13,15,19,21,27,29,37 Apr. 13 Sect. 7.2; 3,7,11,15,21,25,27,31 Apr. 13 Sect. 7.3; 3,5,15,17,19,21 Apr. 15 Sect. 7.4; 1,3,5 Apr. 15 Sect. 7.5; 3,5,7,11,13,15 April 20 - Review April 6 – Exam #3: Sections 4.7 – 6.4 Apr. 9 Sect. 7.1; 3,9,11,13,15,19,21,27,29,37 Apr. 13 Sect. 7.2; 3,7,11,15,21,25,27,31 Apr. 13 Sect. 7.3; 3,5,15,17,19,21 Apr. 15 Sect. 7.4; 1,3,5 Apr. 15 Sect. 7.5; 3,5,7,11,13,15 Final Exam – April 22, 1:00-3:50PM (Other assignments to be announced in class and here) TESTS There will be three in-class examinations and a mandatory final. GRADING POLICY Attendance – 10%, Quizzes – 10%, Each Exam – 20%, Final Exam – 20%. I will use +/- grades. GRADING SCALE Average Grade 90 - 100% A 80 - 86% B 70 - 76% C 60 - 66% D 0 - 58% F IMPORTANT DATES Holidays – January 19, 2004 – Martin Luther King Jr. Day March 8-13, 2004 – Spring Break Withdrawal Deadline – February 27, 2004 Last Day of Class – April 19, 2004 Finals Period – April 20-26, 2004 Final Exam Time: (1:00-3:50PM, April 22, 2004) TENTATIVE LIST OF TOPICS MATERIAL COVERED: We shall cover most of the topics in Chapters 1,2,4-7 in the textbook. OTHER INFORMATION CHANGES: This syllabus is subject to change at any time during the semester, without notice. Any such change will be posted on the following websites: http://math.ucf.edu and http://math.ucf.edu/~kaup/. STUDY HINTS: (These are given for your use and consideration. They work.) 1. Read the chapter before any lecture on that chapter. Make a list of any questions that you may have from your reading of that chapter. Get them answered in lecture, or after class. 2. Watch for and learn the nomenclature of the chapter and of this subject. In addition to your textbook, there is a fairly good paperback mathematics dictionary published by Harper Collins. I strongly recommend this book. 3. Any confusion that you may have about what is the meaning of any paragraph, can often be traced to a “not fully understood word” in that paragraph, or the nomenclature. 4. Don’t bypass even a common English word, if you are not sure what its exact meaning is. Look it up in a good English dictionary and get rid of the uncertainty. The one thing that will always make study difficult, is an accumulation of uncertainties. 5. Anytime a study difficulty does not resolve, you are looking too late. There will be something earlier that had been missed, or was not understood. This is just too simple. 6. Do the homework assignment promptly after the chapter is completed in lecture, if not before. Don’t wait until just before the exam. 7. A perfectly valid question for any exam or quiz is: “What is the definition of _________? Also give an example of it, tell why it is important or not, and describe how someone could make use it.” The professor can fill in the blank with a word or phrase of his choice. So, learn the nomenclature, and be able to use it. This includes any mathematical terms that you may have had in earlier courses. 8. Lastly, why are you taking this course? Do you want the grade or the ability? Or both? If all you want is the grade, then you may not fair well. After all, Mathematics exists because it can be applied and used. If you study for application, then as you study, you will want to keep asking yourself, “How could I make use of this later on in my career?” And you will work this around until you either figure out how you can, or understand just exactly how significant or insignificant the material is. Once you have the ability to apply and use a subject, then you can do well on exams, AND will have the bonus of having the data available for use later. What I Expect of You: In addition to a passing grade in your Calculus courses, there are a few other items that I will expect all my students to be able to know or do. These are: 1. That you know your multiplication tables cold. 2. That you can rapidly do your algebra and fractions without making a mistake. 3. That you can do partial fraction expansions, preferably rapidly. 4. That you know the definitions of the four main trig functions, and can use them. 5. That you can rapidly differentiate polynomials, trig functions, exponentials, and their products and ratios. 6. That you can use the chain rule of differentiation, to differentiate the above functions, when they have complex arguments. 7. That you can rapidly integrate the above functions when they have simple arguments. 8. That you can integrate by parts, preferably rapidly. 9. That you can do all the above, without a calculator, and without errors. 10. That you learn and be able to define, all nomenclature, in the sections that we cover, as well as to be able to give examples, and non-examples, of those items. 11. And that if you can’t do the above as stated, you practice until you can. Note that it is a finite list. CLASS WEB PAGE http://math.ucf.edu/~kaup