SYLLABUS FOR DIFFERENTIAL EQUATIONS
Dr. Abdul Hassen
Office: Robinson Hall 3rd Floor (Math. Dept.) Tel. 256-4500 Ext. 3888
Office Hours: W 10:50 to 12:00pm and 5:30 to 6:30 and by appointment.
Prerequisite: 1701.230 Calculus III and
1701.210 Linear Algebra
CATALOG DESCRIPTION: 1701.321 Differential
Equations 3 s.h.
Applications of ordinary differential equations and their methods of solution form the major part of this course. It also includes the solution of nth order equations, particularly of first and higher degree linear differential equations, and series and Laplace Transform solutions. Students can be asked to use computers and/or graphics calculators as an aid in solving equations.
OBJECTIVES: In few areas of college mathematics is the interaction of science and mathematics so marked as in the study of differential equations. The purpose of this course is to introduce the student not only to the theoretical aspects of differential equations, including the establishment of existence of solutions, but also to techniques for obtaining solutions for the various types of ordinary differential equations.
Technology: In addition to the graphing calculators, students are required to use Mathematica and other computer software packages.
Text: William E. Boyce and Richard C. DiPrima, Elementary Differential Equations, 10th Edition. John Wiley and Sons.
Content: We will cover the following sections from the text book.
CHAPTER 1 Introduction (Sections 1 through 4)
CHAPTER 2 First Order Differential Equations (All Sections)
CHAPTER 3 Second Order Linear Differential Equations (All Sections)
CHAPTER 4 Higher Order Linear Equations (All Sections)
CHAPTER 5 Series Solutions of Differential Equations (Sections 2 through 5)
CHAPTER 6 The Laplace Transforms (Sections 1 through 5)
CHAPTER 7 Systems of First Order Linear Equations (Sections 4 through 9)
CHAPTER 8 Numerical Methods (Sections 1 through 4)
Grading Policy: Students will be graded based on four tests (80% of the total grade), homework (10% of the total grade), and three Mathematica assignments (10% of the total grade). The dates for the tests will be announced in class at least a week in advance. The four tests will cover the following sections from the textbook.
Test 1: (20% of total grades) covers Chapters 1 and 2.
Test 2: (20% of total grades) covers Chapters 3 and 4.
Test 3: (20% of total grades) covers Chapters 5 and 6.
Test 4: (20% of total grades) covers Chapters 7 and 8.
Numerical grades will be converted to letter grades by the following scale.
A(-) = 90 to 100, B(-,+)= 80 to 89, C(-,+)= 70 to 79, D(-,+)= 60 to 69, F= 0 to 59
HOMEWORK: Click here for homework problems.
MATHEMATICA ASSIGNMENT There
will be three Mathematica projects posted on BbCE.
Attendance Policy: Attendance
is mandatory. An attendance sheet will be passed around at the beginning of
each class period. Please write your signature next to your printed name on the
list. If you are absent/tardy from a class, you must submit a note requesting
that the absence/tardiness be excused by the next class meeting. Each student
is allowed a total of three unexcused absences/tardies (combined). If you miss a
class, it is your responsibility to study the section(s) covered and do the
homework. If you are absent the day of a regularly scheduled test, a grade of
zero is automatically recorded as your test score. You will be permitted to
make up this zero only when you can confirm that you were absent for reasons
beyond your control. In such cases, you must telephone 256-4500 extension
3888 (or send me an e-mail) and leave a message including your name and
telephone number, the reason for your absence and the date you anticipate
returning. Students who fail to leave the above information will be
assigned the grade of zero for that test.
Academic Honesty: Cheating on a
test or assignment seriously undermines the integrity of the academic system
and will not be tolerated. If I determine that a student has cheated, I
will assign the grade of F for this course and send a letter to this effect to
his advisor. Although a student is not cheating, he or she is expected to
refrain from actions that could be suspicious. Using common sense on your
part should avoid unnecessary embarrassment. You may visit the website http://www.rowan.edu/provost/policies/AcademicIntegrity.htm
for more information on Academic Integrity policy at Rowan University.
Classroom rules: Students will
abide by Rowan's student code of conduct and policy on academic honesty (p. 19
and p. 28 of Rowan 1999-2000 undergraduate catalog, respectively).
Improper behavior will not be tolerated. Students are not permitted to leave
the classroom during class period except for emergencies or unless prior
arrangements have been made with the instructor. Please use the restrooms
before class begins.
Students with Disabilities and Special Needs: Please speak with me as early in the semester as possible so that we can make appropriate accommodations for you. If necessary, you can also contact the Office of Special Services.
Questions in Class: The best time to ask questions is during class. Many times students fear that their questions will seem foolish, while in fact, many others also have the same question. I urge you to ask your questions during class. If you have questions that were not answered in class, you may stop by my office during my office hours.