CONTENTS:

1. SYLLABUS for ONLINE SECTION
2.SYLLABUS for ON-CAMPUS SECTION (Sec. 10)

1. SYLLABUS for ONLINE SECTION
MEEG 690, fall 2004
INTERMEDIATE ENGINEERING MATHEMATICS

INSTRUCTOR: Michael D. Greenberg, 106 Spencer Lab
        302-831-8159, greenberg@me.udel.edu, FAX 302-831-3619

OFFICE HOURS: I'm generally in the office (106 Spencer Lab) all afternoon (with occasional committee meetings etc.) and evening as well, but if you are coming from off campus I advise you to make a specific appointment so you don't miss me.


COURSE ORGANIZATION: The grade in this course is based entirely on three exams, which are worth 20%, 40%, and 40% respectively. The first is arranged to be worth only 20% so that if you have trouble getting going a low grade in the first exam can probably still be overcome. The students study the lecture notes (which are posted, as they become available) at the ONLINE course website, the text (below), Solutions to the Suggested Exercises from the text, and a set of several representative Old Exams and their solutions. These old exams are by no means intended as providing “brackets” within which this year’s exams will fall. They are intended only as guidelines as to what the exams look like; in fact, during the years in which those exams were given the course coverage might have been slightly different, so don’t lean too heavily on them in preparing for this year’s exams. Students work on all of these elements of the course and call me or e-mail me or come by to visit if they are close enough to do that, in order to get their study questions answered. Don’t hesitate to do that.

TEXT: “Advanced Engineering Mathematics”, 2nd ed, 1998, by M. D. Greenberg

PREREQUISITES: At a bare minimum you should have had the standard undergraduate sequence of calculus and ordinary differential equations (ODEs). You should be able to solve any constant-coefficient linear homogeneous differential equation or homogeneous Cauchy-Euler equation; if you can’t do that it can hurt your grade substantially since such equations show up in the exams in one way or another; low grades in this course correlate with weakness in this area. It’s also expected that you will have seen bits and pieces of the material in this course elsewhere; the bits and pieces will vary from one student to the next. For instance, you have probably seen some separation of variables and Fourier series, for partial differential equations (PDEs), in your engineering courses. Also, you will no doubt have seen some matrix theory, and so on. Don’t worry about parts of this course overlapping with parts of your previous courses; stretches where we cover material that you've seen before might provide welcome relief for you that will help you to keep up with what would otherwise be an extremely fast pace if all of this material were new. Use this opportunity to look more deeply at any material you’ve seen before in other courses, for instance by studying the text and more challenging exercises more carefully.

CAUTION: My experience is that in this course there are usually a handful of very low grades. Thus, see where you stand – as quickly as you can – in terms of a possible withdrawal from the course. Feel free to call me to discuss this if you wish, before or after the first exam. I believe the low grades that occur are due to some combination of the student having forgotten a lot (calculus and/or differential equations), and simply not devoting the necessary time to the course. Thus, I urge you to be careful about where you stand in the course insofar as an eventual grade is concerned.

EXAMS: The grade is based solely on three closed-book exams. Don’t be intimidated by the closed book aspect since the course is not centered on memorization, but on understanding. Some formulas are provided in some of the exams. For instance, for the first exam there are usually no formulas given, but for the second exam there usually are formulas given. For example, I would certainly not expect you to memorize such formulas as the gradient, divergence, curl, and Laplacian in spherical polar coordinates (see the inside cover of the text for these and you’ll see what I mean). For a guideline to this see the practice exams. It is expected that exam papers will be professional looking presentations rather than having the look of "scratchwork," and will show steps and reasoning (with some words and sentences, as needed). “The answer” that I grade is not just the final result, but your whole solution process and presentation of it. The Maple computer-algebra system is covered in the text but will not be on the exams. If you have Maple available to you I encourage you to use this text to learn how to apply it to this course (unless you already know other such systems), and some extra exercise solutions by Maple are included to help you to do that. Finally, at least 3 hours is allowed for each exam, which should be enough time so that you don’t need to race against the clock, and for you to have enough time to look over your work. When to take the exams: This is pretty much up to you, but as a guideline keep in mind that the first exam covers around 20% of the material, the second around 40%, and so on. To arrange to take Exam I, say, contact Dean Werrell’s office to set the time; I don’t need to be in that loop. But if there are more than one of you at a particular work site then you will need to coordinate among yourselves a time that will suit all of you and make the arrangements as a group.

ACADEMIC HONESTY: All exams are "closed book," meaning that any use of books and/or notes is not permitted. You must use the paper provided at the exam by the proctor. No communication between students is permitted during the exams. Not to dwell on this, but I'm trying to avoid the occasional very serious problems along these lines that have arisen in the past, so if you have any questions about this policy please ask me.

GRADES: 90-l00 = A, 85-90 = A-, 80-85 = B+, 75-80 = B, 70-75 = B-
        66-70 = C+, 62-66 = C, 58-62 = C-, 54-58 = D+, 50-54 = D, less = F

There are no "makeup" exams or extra-work options available to improve grades; I simply add the three grades and use the absolute grade scheme defined above, so be sure that you are prepared for each exam. The grading is very “unforgiving” since, as I said, I just add up the points and use the absolute grade scale given above. Realize also that trying to grade what you know is impractical; rather, I simply try to accurately grade what it is that you present on your paper. That is, realize that your papers will be work that must stand alone.

EXAM I (20%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
        Chapters 8-11, but questions will be drawn only from Secs.
        9.6 - 9.10.1, 11.2.1, 11.3.1, 11.4, 11.6. (I assume you know the material in Sections
        8.1-8.3.4, 9.1-9.3, 10.1-10.6.4.)

EXAM II (40%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
        Sections 14.1-17.8, but questions will be drawn only from Secs.
        14.6, 15.4-15.6, 16.1-16.10.2, 17.6-17.7. (I assume you know the material in Sections
        14.1-14.5, 15.1-15.3. In Chap 17 I assume you’ve already seen Fourier series, so we
        emphasize the vector space approach in 17.6-17.7, to complement your previous
        background. Note that we will not use half- and quarter-range Fourier series anywhere;
        we will instead always use the Sturm-Liouville theory instead.)

EXAM III (40%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
        Sections 4.6, 18.1-18.3 (omit 18.3.2), 18.6.1, 19.1-19.4.1, 20.1-20.3.2
        NOTE: We will use Sturm-Liouville consistently, not any half- or quarter-range
        expansion formulas, so you do not need to know the latter. You must use the
        Sturm-Liouville approach in the exams, not the half- or quarter-range formulas.

GETTING STARTED: Before you get started with this course please “check in” with me by phone (or e-mail me your phone number and a convenient time bracket for me to call you). I can answer questions you have about the course, find out more about you and your background, and so on. Thank you.

2. SYLLABUS for ON-CAMPUS SECTION (Sec. 10)
MEEG 690, fall 2005
INTERMEDIATE ENGINEERING MATHEMATICS
INSTRUCTOR: Michael D. Greenberg, 106 Spencer Lab
        302-831-8159, greenberg@me.udel.edu, FAX 302-831-3619

OFFICE HOURS: I'm generally in the office (106 Spencer Lab) all afternoon (with occasional committee meetings etc.) and evening as well, but if you are coming from off campus I advise you to make a specific appointment so you don't miss me.


COURSE ORGANIZATION: The grade in this course is based entirely on three exams, which are worth 20%, 40%, and 40% respectively. The first is arranged to be worth only 20% so that a low grade in the first exam can probably still be overcome. The students study the lecture notes (which are posted, as they become available) at the ONLINE course website, the text (below), Solutions to the Suggested Exercises from the text, and a set of several representative Old Exams and their solutions. These old exams are by no means intended as providing “brackets” within which this year’s exams will fall. They are intended only as guidelines as to what the exams look like. In fact, during the years in which those exams were given the course coverage might have been slightly different, so don’t lean too heavily on them in preparing for this year’s exams. Students work on all of these elements of the course and call me or e-mail me or come by to visit if they are close enough to do that, in order to get their study questions answered. Don’t hesitate to do that. Also, there are informal question sessions before each exam, outside of class time. These are optional. They are “question sessions” rather than “review sessions”. For instance, a question asked might be to go through one of the suggested exercises or exam questions.

TEXT: “Advanced Engineering Mathematics”, 2nd ed, 1998, by M. D. Greenberg

PREREQUISITES: At a bare minimum you should have had the standard undergraduate sequence of calculus and ordinary differential equations (ODEs). You should be able to solve any constant-coefficient linear homogeneous differential equation or homogeneous Cauchy-Euler equation; if you can’t do that it can hurt your grade substantially since such equations show up in the exams in one way or another; low grades in this course correlate with weakness in this area. It’s also expected that you will have seen bits and pieces of the material in this course elsewhere; the bits and pieces will vary from one student to the next. For instance, you have probably seen some separation of variables and Fourier series, for partial differential equations (PDEs), in your engineering courses. Also, you will no doubt have seen some matrix theory, and so on. Don’t worry about parts of this course overlapping with parts of your previous courses; stretches where we cover material that you've seen before might provide welcome relief for you that will help you to keep up with what would otherwise be an extremely fast pace if all of this material were new. Use this opportunity to look more deeply at any material you’ve seen before in other courses, for instance by studying the text and more challenging exercises more carefully.

CAUTION: My experience is that in this course there are usually a handful of very low grades. Thus, see where you stand – as quickly as you can – in terms of a possible withdrawal from the course. Feel free to call me to discuss this if you wish, before or after the first exam. I believe the low grades that occur are due to some combination of the student having forgotten a lot (calculus and/or differential equations), and simply not devoting the necessary time to the course. Thus, I urge you to be careful about where you stand in the course insofar as an eventual grade is concerned.

EXAMS: The grade is based solely on three closed-book exams. Don’t be intimidated by the closed book aspect since the course is not centered on memorization, but on understanding. Some formulas are provided in some of the exams. For instance, for the first exam there are usually no formulas given, but the second exam usually includes formulas. For example, I would certainly not expect you to memorize such formulas as the gradient, divergence, curl, and Laplacian in spherical polar coordinates (see the inside cover of the text for these and you’ll see what I mean). For a guideline, see the practice exams. It is expected that exam papers will be professional looking presentations rather than having the look of "scratchwork," and will show steps and reasoning (with some words and sentences, as needed). “The answer” that I grade is not just the final result, but your whole solution process and presentation of it. The Maple computer-algebra system is covered in the text but will not be on the exams. If you have Maple available to you I encourage you to use this text to learn how to apply it to this course (unless you already know other such systems) and some extra exercise solutions by Maple are included to help you do that. At least 3 hours is allowed for each exam, which should be enough time so you don’t need to race against the clock, and for you to have enough time to look over your work.

ACADEMIC HONESTY: All exams are "closed book," meaning that any use of books and/or notes is not permitted. You must use the paper provided at the exam by the proctor. No communication between students is permitted during the exams. Not to dwell on this, but I'm trying to avoid the occasional very serious problems along these lines that have arisen in the past, so if you have any questions about this policy please ask me.

GRADES: 90-l00 = A, 85-90 = A-, 80-85 = B+, 75-80 = B, 70-75 = B-
        66-70 = C+, 62-66 = C, 58-62 = C-, 54-58 = D+, 50-54 = D, less = F

There are no "makeup" exams or extra-work options available to improve grades; I simply add the three grades and use the absolute grade scheme defined above, so be sure that you are prepared for each exam. The grading is very “unforgiving” since, as I said, I just add up the points and use the absolute grade scale given above. Realize also that trying to grade what you know is impractical; rather, I simply try to accurately grade what it is that you present on your paper. That is, realize that your papers will be work that must stand alone.

EXAM I (20%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
Question Sessions Sun 9/26 @ 7pm 114 Spencer Lab, Wed 9/29 @ 7:30pm 114 Spencer Lab (If you have a class til 8:15 that night come anyway when you get out of class.)
Exam Thurs 9/30 7pm 140 Smith Hall
        Chapters 8-11, but questions will be drawn only from Secs.
        9.6 - 9.10.1, 11.2.1, 11.3.1, 11.4, 11.6. (I assume you know the material in Sections
        8.1-8.3.4, 9.1-9.3, 10.1-10.6.4.)

EXAM II (40%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
Question Sessions Sun 11/7 @ 7pm 114 Spencer Lab, Wed 11/10 @ 7:30pm 114 Spencer Lab (If you have a class til 8:15 that night come anyway when you get out of class.)
Exam Thurs 11/11 @ 7pm 140 Smith Hall
        Sections 14.1-17.8, but questions will be drawn only from Secs.   
        14.6, 15.4-15.6, 16.1-16.10.2, 17.6-17.7. (I assume you know the material in Sections
        14.1-14.5, 15.1-15.3. In Chap 17 I assume you’ve already seen Fourier series, so we
        emphasize the vector space approach in 17.6-17.7, to complement your previous
        background. Note that we will not use half- and quarter-range Fourier series anywhere;
        we will instead always use the Sturm-Liouville theory instead.)

EXAM III (40%) COVERS THESE SECTIONS AND THE CIRCLED EXERCISES:
Question sessions to be announced. Exam will be scheduled in finals week by the University.
        Sections 4.6, 18.1-18.3 (omit 18.3.2), 18.6.1, 19.1-19.4.1, 20.1-20.3.2
        NOTE: We will use Sturm-Liouville consistently, not any half- or quarter-range
        expansion formulas, so you do not need to know the latter. You must use the Sturm-
        Liouville approach in the exams, not the half- or quarter-range formulas.