Syllabus for Mathematics for Engineering Analysis II
Dr. Abdul Hassen
Office: Robinson Hall, Mathematics Department Rm 229E
Phone (856) 256-4500 ext 3888.
E-mail: hassen@rowan.edu
Office Hours: TR 11 am – 12 noon and by appointment
Prerequisites: Mathematics for Engineering Analysis I (1703-235)
Text: Nagle, Saff and Snider, Fundamentals of Differential Equations, 5th edition. Addison Wesley Longman, 2000.
Description: This course is a continuation to Mathematics for Engineering Analysis I. Further methods for solution of ordinary differential equations are discussed, including the Laplace transform. Numerical methods for ordinary and partial differential equations and for linear and non- linear algebraic equations are studied.
Objective: Students will demonstrate the ability to:
a. Solve higher order linear differential equation with constant
coefficients.
b. Use the methods of undetermined coefficients and variations of
parameters to solve ordinary differential equations.
c. Solve systems of differential equations.
d. Solve ordinary differential equations using power series method.
e. Solve ordinary differential equations using Laplace transforms
f. Solve partial differential equations using the method of
separation of variables.
g. Solve linear and non-linear algebraic equations numerically by
the methods of iteration and interpolations
h. Solve differential equations by numerical method.
Calculator and Computer Usage: We will be using Mathematica for projects and some demonstrations. Students are expected to be familiar with this software. However, if a student prefers other mathematical software, he or she may use the software as long as I am notified before submitting a project. Students are required to have a graphing calculator. For this course TI89 is highly recommended. For help on TI89, click here.
Contents:
CHAPTER 2: First Order Differential Equations(Review)
All sections will be Reviewed
CHAPTER 3: Mathematical Models and Numerical Methods for First Order Equations.
All sections will be covered
CHAPTER 4: Linear Second Order Equations
All sections will be covered.
CHAPTER 5: Introduction to Systems of ODE and Matrix Form
Sections 2, 3, and 6 will be covered. Also sections 5, 6, and 7 of Chapter 9
CHAPTER 6: Theory of Higher Order Linear Differential Equations
All sections will be covered.
CHAPTER 7: Laplace Transforms
All sections will be covered.
CHAPTER 8: Series Solutions Of Differential Equations
Sections 1 to 3 will be covered.
CHAPTER 10: Partial Differential Equations
All sections will be covered.
CHAPTER 11: Numerical Methods
a) Numerical Methods in General
b) Numerical Methods for Linear Algebra
c) Numerical Methods for Differential Equations
Note: Lecture notes and exercises will be supplied for Chapter 11.
GRADING POLICY: Students will be graded based on four tests (80% of grade), three Mathematica and programming assignments (15% of total grade) and homework assignments(5% of total grade). The tests will be given according to the following schedule:
TEST 1. (20% of total grade) covers Chapters 2, and 3.
TEST 2. (20% of total grade) covers Chapters 4 and 5, and 9.
TEST 3. (20% of total grade) covers Chapters 6 and 7.
TEST 4. (20% of total grade) covers Chapters 8, 10, and 11.
Numerical grades will be converted to letter grades by the following scale.
A(A-) = 90 to 100, B(-,+)= 80 to 89, C(-,+)= 70 to 79, D= 60 to
69, F= 0 to 59
HOMEWORK: I highly recommend that you do all the exercises in the sections we cover in class. You should be aware that any odd numbered problem can appear on a test. For the 5% of you final grade, you will be required to do and submit the problems in the table you can find by clicking here. The due dates will be announced in class.
PROJECTS: Examples for second order
linear equations with constant coefficient. (Text file,
Mathematica
file)
Project 1(Due Date: Last week of February ) ( word file
and pdf
file)
Project 2(Due Date: Last week of March) ( word file and
pdf file)(EXAMPLES)
Project 3(Due Date: Last week of April) ( word file
and pdf
file)
ATTENDANCE: Students are expected to attend all classes and be on time. If you miss a class, it is your responsibility to study the section(s) covered and do the homework. I don't have the time to give private tutorials on missed lecture material. 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 phone 256 - 4500 extension 3888 and leave a message for me including your name and phone 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
PASS NO CREDIT OPTION: There is no such option for this course. The grades I assign are A, B , C, D, F.
CHEATING: 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. Even though a student is not cheating, he or she is expected to refrain from actions which could be suspicious. Using common sense on your part should avoid unnecessary embarrassment.
QUESTIONS IN AND OUT OF 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 the
following office hours.
This page was last updated on 1/11/10