SYLLABUS

DIFFERENTIAL EQUATIONS

MATH 083, Spring 2008

Section 1001 ~ MWThF, 9:00 in CU118

Section 1002 ~ MWThF, 10:00 in CU118

Section 1003 ~ MWThF, 12:00 in Wehr Chem. 002

 

Instructor: Mrs. Mary P. Utzerath, CU 359, 288-5225, mary.utzerath@marquette.edu

 

Office Hours:  M. and W. 2-4 and by appointment.   Please check our class website for changes.

Instructor Office Visits:  For an appointment please see me after class, or call or email.  If my office door is closed tight it means I’m not in or I do not want to be interrupted.  If, outside of office hours, my office door is ajar it’s o.k. to interrupt to make an appointment. 

 

Teaching Assistant (T.A.):  Shivani Ratnakumar, CU361.        shivani.ratnakumar@marquette.edu

 

T.A. Office Hours:  T.4-6, Th. 1-3.

 

Text:  Boyce & DiPrima, Elementary Differential Equations, 8th ed with ODE Architect CD.  A Student Solutions Manual by Charles W. Haines is available.

 

Calculator:  The official calculator for class discussion purposes is the TI 89.  

 

Stapler:  Homework assignments will be collected every week.  If the pages are not stapled together (paper clips are not an acceptable substitute) you will lose a point. 

 

Course Content:  This course covers methods, models and techniques applicable to first-order differential equations, to second-order linear differential equations, and to second-order systems of first order differential equations.   Basic concepts of linear algebra (determinants, matrix operations) are introduced.  Solution methods include Laplace transforms, infinite series, eigenvalues and eigenvectors. Graphical approaches, such as direction fields and phase planes, and numerical methods are introduced.  A variety of applications and models are studied.  These topics correspond to portions of Chapters 1- 8 of the text.

 

Objectives:    Students should understand the basic components of the modeling process and how to apply differential equations to model various empirical behaviors.   Students should be able to classify common ordinary first-order differential equations and second-order linear equations and apply appropriate methods to solve them.   Students should understand basic second-order matrix and determinant theory, the basic eigenvalue problem, and methods for solving second-order systems of first order differential equations. 

 

Lectures and Course “Handouts”:  All lectures, the syllabus, assignments, and announcements for this course will be posted on the web site www.mscs.mu.edu/~mary/83.html.  You are expected to download, print, and bring lecture materials to class.        

 

Weekly Structure of the Course:  Lectures by Mrs. Utzerath will be given on Mondays, Wednesdays, and Fridays.  Thursday classes, facilitated by Shivani Ratnakumar, are designated for questions, calculator demonstrations, and occasional continuation of lectures. 

 

Attendance:   Attendance is required.  Excessive absences will be penalized.  You are expected to arrive in class on time with the appropriate lecture notes for the class (see above under “Lectures and Course ‘Handouts’ ”), having completed the assigned reading for the current lecture and assigned problems for the previous lecture.  If you miss a class it is your responsibility to obtain and learn the material you missed.  In the event that you miss a class (even for a legitimate reason) please do not ask me or Shivani to “catch you up” or to go over the lecture you missed.  We do not give private lectures or do private tutoring but will be happy to answer your questions only after you have obtained the material you missed and made an attempt to learn it yourself (or with a tutor).  Missing a class is no excuse for turning in a late homework or for not knowing about a change in an exam or date.

 

Withdrawal from Course:  If you intend to withdraw, it is your responsibility to withdraw yourself from the course.   The last day to withdraw with a grade of W is Friday, April 11th.   Do not assume that just because you have stopped attending class you will be automatically withdrawn from the course.  If you quit attending class and do not officially withdraw, you will receive a grade of F. 

 

Tutoring:  It is your responsibility to keep abreast of the course, to master the material covered, and to take the initiative for getting the help you need.  The MUSC Tutorial Program offers tutorial services for Math 083.  This tutoring program will begin the second week of classes.  Students must fill out a Tutor Request Form in AMU 317 before joining a session.  All services are free for the students.  Each session meets for one hour per week with up to five students in a group.  Note that this is not a drop-in-for-tutoring arrangement, although drop-in tutoring hours may be available (students will be informed of this when they sign up for a tutoring session).  In addition to tutorial assistance, the MUSG Tutorial Program offers individual assistance to students who would like to improve their study skills.  For more information see the MUSG website at http://www.mu.edu/oses.

 

Ethics and Behavior:  High standards of personal conduct and consideration of others are required in order to create a classroom climate conducive to learning.  Cell phones should be turned off.  Gum chewing must be quiet.  Eating is not allowed.  Instances of academic dishonesty will be handled in accordance with College policy, and may lead to expulsion from the University.  These instances include, but are not limited to:

·      The illegitimate use of materials (such as crib sheets or phones, etc.) in any form during a quiz or examination.

·      Copying answers from the quiz or examination paper of another student.

·      Obtaining, through theft, bribery, or collusion, or otherwise improperly securing an examination paper prior to the time and date for the administration of the examination.

·      Impersonating a candidate at an examination or availing oneself of such an impersonation.

 

Exams:  Three 75-point exams given throughout the semester, each covering approximately 1/3rd  of the course material.  Dates will be announced at least one week in advance.  Missed exam policy:  If you must miss a exam, notify me before the scheduled time of the exam.  If at all possible, make arrangements to take the exam early.  Any exam that is missed and not made up will receive a score of zero.  Exam questions will be based on lecture examples, assigned text exercises, and collected homework (see below).  Study guides will be provided and quickly reviewed prior to the exam.  While a study guide is intended to provide a survey of material that will be covered on the exam, it is not intended to correspond exactly to the content of the exam.

 

Assignments:  Exercises from the text are assigned for almost every section covered in class.  These exercises should be completed as soon as possible after the corresponding section has been covered.  These exercises provide valuable practice to reinforce and enlarge upon the concepts taught in class.   Exams may draw upon these exercises. 

 

Collected Homework:  Assigned problems from the text will be collected almost every week.  The problems to be collected are indicated on the assignment sheets posted to our website.  Your cumulative homework grade will equal that of one exam (75 points).   Late or unstapled homework assignments will be penalized.  Answers without supporting work, or, if you used your calculator, without supporting explanation of how you used your calculator, will not receive credit.  Likewise, work that is difficult to read or follow will not receive credit.  You may collaborate with other classmates on collected homework assignments, but you are expected to do your own work.   Exam questions may be based on collected homework problems.

 

Final Exam:    A cumulative 100-point exam will be given at the end of the semester as follows:

            Section 1001 (9:00 class): Friday, May 9, 8:00 – 10:00 a.m.

            Section 1002 (10:00 class): Monday, May 5, 1:00 – 3:00 p.m.

            Section 1003 (12:00 class): Friday, May 9, 1:00 – 3:00 p.m.

In accordance with Marquette policy for lower division courses, there will be no exemptions from the Final Exam.

 

After you have taken the final exam it is too late to do anything to improve your grade.  The time to do something about your grade is during the semester – the sooner the better! 

 

Final Grades:  Your course grade will be based on the total number of points you earn out of a maximum of 400 points as follows:

3 exams @ 75 pts. each                       =          225 pts.                        @          56.25% of grade

Collected Homework               =            75 pts.                        @          18.75% of grade

Final exam                               =          100 pts.                        @          25% of grade*

Total                                        =          400 pts.           

 

Grading Scale:            A [94-100]       AB [90-94)      B [84-90)         BC [78-84)

                        C [70-78)         CD [65-70)      D [60-65)         F – below 60

 



* Your final exam may replace your lowest exam score from the semester (This will happen if your final exam score*75/100 is higher than one of your exam scores.).  In this case (but only in this case) your final exam will count for 43.75% of your final grade.