Qatar University
College of Arts and Sciences
Department of Math, Statistics &Physics
Math for Engineers Syllabus, Spring 2013
COURSE INFORMATION
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Course Title : Math for Engineers, MATH 217
Section: L02
CRN: 23175
Duration: February 10, 2013 – May 23, 2013
Prerequisite: Math 211
In Class Hours : 4
Credit Hours : 3
Class Location : Men’s Building, Corridor 5, E 201.
Class Time
Monday : 08:00 – 09:15 am
Wednesday: 08:00 – 09:15 am
and
14:00 – 14:50 pm
INSTRUCTOR
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Name: Mahmoud Boutefnouchet
E-mail: boutef@qu.edu.qa
Office Location: D 119, Corridor 4, Men’s Building, CAS
Phone Office: 4403-4645
Office Hours:
Monday : 10:00 am-11:00 pm
Wednesday: 10:00 am-11:00 pm
or by appointment
TEXTBOOK
Fundamentals of Differential Equations and Boundary Value Problems, by R. K. Nagle, E.
B. Saff and A.D. Snider, 5th Edition, 2008, Pearson, Addison Wesley.
REFERENCES
1. Advanced Engineering Mathematics, by Peter V. O’Neil - Thomson 2007.
2. Advanced Engineering Mathematics, by Erwin Kreyszig – John Wiley & Sons.
Inc. 9th Edition, 2006.
3. Differential Equations with Boundary Problems, by D. G. Zill & M.R.
Cullen.6th Edition, Brooks/Cole Publishing Company, 2005.
4. Mathematica, by Eugene Don., Schaum’s outlines, 2nd edition.
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EVALUATION POLICY
Three major exams will be given:
 First Exam:
 Second Exam:
 Final Exam:
 Assignments, Projects and Quizzes:
20%,
20%,
40%,
20%
EXAMINATION DATES AND TIMES
First Exam:
Saturday March 16th , 2013.
Second Exam: Saturday April 27th , 2013.
Final Exam:
Sunday June 2nd , 2013.
08:00 - 10:00 am
08:00 - 10:00 am
08:00 - 10:00 am
GRADES
Grades will be assigned based on the following scale:
Percent grade 90 -100 85 - 89
A
B+
Letter grade
4.0
3.5
Earned Points
80 - 84 75 -79 70 - 74
B
C+
C
3.0
2.5
2.0
65 - 69
D+
1.5
60 - 64
D
1.0
below 60
F
0.0
INSTRUCTIONS & REGULATIONS
1. Using Mobile phones during lectures or exams is prohibited. Shut off your cell
phone during class, any one uses mobile will be asked to leave the lecture room.
2. Students are expected to attend all classes, if they do not show up for more than
25% of the classes, they fail the course. There are no grades for attendance.
3. Quizzes have no make-ups, so try not to miss any.
4. Students are expected to participate actively in the class.
5. Check your e-mail regularly.
6. Be responsible for all class activities, announcements, and assignments when you
miss a class.
7. Do not hesitate to see me if you have any question.
8. Prior to class, look over the section that will be covered.
9. Regularly check the BLACKBOARD site at: http://mybb.qu.edu.qa/
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COURSE CONTENTS
1. Basic Definition and Terminology:
Motivation, Definition, Classification by type, order, linearity and solutions.
2. First Order Differential Equations:
Initial-value problem, Separable variables, Homogeneous equations, Exact
equations. Linear equations, Integrating factor, Bernoulli equation, Applications.
3. Second Order Differential Equations:
Initial-value and Boundary-value problems, Linear differential operators,
Reduction. Of order, Homogeneous equations with constant coefficients,
Nonhomogeneous equations, Method of undetermined coefficients, Method of
variation of parameters, Some non-linear equations, Applications, Higher order
Differential Equations.
4. Laplace Transform:
Definitions, Properties, Inverse Laplace transforms, Solving initial-value
problems. Special functions: Heaviside unit step function, Periodic function, Dirac
delta function, Convolution theorem.
5. Linear Algebra:
Definitions, Matrices and Determinants, Linear systems, Eigenvalues and
Eigenvectors , Diagonalization.
6. System of Linear Differential Equations:
Homogeneous linear systems, Solving systems by Eigenvalues and Eigenvectors
Method, Solving systems by Laplace transforms.
7. Partial Differential Equations:
Some mathematical models, Fourier series solutions, Method of separation of
variables, Applications.
COURSE OBJECTIVES
1. To acquaint students with the necessary theories and methods in both Differential
and Partial Differential Equations.
2. To acquaint students with Differential Equations and their applications.
3. To Introduce, among others, the Laplace Transform method which is an efficient
tool for solving Engineering problems in an elegant way
4. To present students with some realistic problems
5. To equip students with a number of methods for solving differential equation,
concentrating on those which are of practical importance.
LEARNING OUTCOMES
The students are expected to be able to:
1. Classify differential equations by type, order and linearity
2. Determine the general solution of different types of differential equations by
using different techniques
3. Solve non-homogeneous differential equations by using the method of
undetermined coefficients and the method of variation of parameters
4. Solve some non-linear differential equations
5. Determine eigenvalues and eigenvectors of matrices to comprehend the
diagonalization process
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6. Use Laplace transform to solve initial value problems
7. Find the solution of systems of differential equations by using the eigenvalueeigenvector and Laplace transform methods
8. Solve applied problems using first order differential equation models
9. Apply second order differential equations to solve vibration models based on real
life problems
10. Employ the method of separation of variables to obtain the solution of known
partial differential equations including Laplace, Heat and Wave equations.
DELIVERY METHOD
We will use different types of teaching methods including:
1. Presentation explaining material.
2. Problem solving.
3. Discussion - actively involving students in learning by asking questions that
provoke thinking and verbal response.
4. Cooperative Learning - small group structure emphasizing learning from and with
others.
LEARNING RESOURCES AND MEDIA
1. In class we will use head projector to explain mathematical formulas
2. Data show will be used also to visualize some important graphs in the two
dimension space
3. Use of Mathematica and other software to enhance teaching with technology.
4. Blackboard will be used frequently
DETAILED TIME SCHEDULE
Week
1
2-3
4-5
6
7-8
Topics
Section
Review
1.1
Solutions and Initial Value Problems
1.2
Separable equations
2.2
Linear equations
2.3
Exact Equations
2.4
Special Integration Factors
2.5
Substitution and Transformation
2.6
3.3-3.5 Applications of First order equations
4.2-4.3 Homogeneous second order equations
4.4-4.6 Non-homogeneous second order equations
First Exam: Saturday, March 16th , 08:00-10:00 am
Variable coefficient equations
4.7
4.9-4.10 Applications of second equations
Definition of the Laplace transform
7.2
Properties of the Laplace transform
7.3
Inverse Laplace Transform
7.4
Solving Initial Value problems
7.5
4
9
7.6
7.7
10-12
9.2-9.3
9.4-9.5
13-14
Transforms of discontinuous and periodic functions
Convolution
Linear algebraic systems, matrices and determinants
Eigenvalues and eigenvectors, homogeneous system with
constant coefficients
Complex eigenvalues
9.6
9.7-9.8 Non homogeneous systems, The matrix exponential function
Second Exam: Saturday, April 27th , 08:00-10:00 am
Introduction to partial differential equation
10.1
Methods of separation variables
10.2
Applications
Final Exam: Sunday, June 2nd , 08:00-10:00 am
RECOMMENDED PROBLEMS FROM THE TEXTBOOK
The following list contains the recommended problems from the above mentioned
textbook. These problems contain the main ideas, concepts and computational
skills, which student should encompass. However, it is the student responsibility
to cover all problems similar to those mentioned here. Students need not to solve
all similar problems, but attention should be given to the hints given in the
lectures concerning differences.
Chapter 2
Chapter
Section
Page
Question Numbers
2.2
46-48
1-26 (odd), 33, 34, 37
2.3
54-58
1-22, 23, 35
2.4
65-67
1-30 (odd), 32, 33, 34
2.5
71-72
1-14 (odd), 15-20
2.6
79-80
1-40 (odd), 41, 42, 45, 46
Chapter 4
Selected projects from Chapter III
4.2
176-178
1-20 (odd), 21, 23, 26, 27, 28, 29, 30, 31, 37-42 (odd)
4.3
186-188
1-27 (odd), 28, 29, 31, 32, 33
4.4
195
4.5
201-203
1-40 (odd), 42, 43
4.6
206-207
1-18 (odd), 20
4.7
214-217
1-20 (odd), 21, 22, 23, 24, 27, 30, 31, 32, 33, 37-43 (odd), 44,
45-48 (odd), 49, 51, 52
1-36 (odd)
Chapter 6
Selected projects from Chapters IV-V
6.1
349-351
1-25 (odd), 26, 27, 28, 30, 31-34
6.2
356-358
1-26 (odd), 31, 33, 35
6.3
362-363
1-33 (odd), 34, 35, 37
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6.4
366-367
1-11, 14
Chapter 10
Chapter 9
Chapter 7
Selected projects from Chapter VI
7.2
385-386
1-29 (odd), 31-33
7.3
391-392
1-27 (odd), 33-36, 40-41
7.4
400-402
1-31 (odd), 16-21, 24
7.5
409-410
1-32 (odd), 35, 37
7.6
421-424
1-41 (odd), 42
7.7
431-432
1-28 (odd)
7.8
439-440
1-27 (odd), 33-34
9.1
533-534
9.2
538
9.3
548-550
1-29 (odd), 30, 31-43 (odd)
9.4
556-558
1-29 (odd), 30, 31-35 (odd)
9.5
567-571
1-26 (odd), 27-30, 31-41 (odd)
9.6
575-576
1-19
9.7
581-584
1-32 (odd)
9.8
592-593
1-25 (odd)
10.2
Selected projects from Chapters IX
613-614 1-22 (odd), 24, 27, 28, 29, 30, 32.
10.3
629-633
1-16 (odd), 25, 26, 27, 28, 29, 36, 37, 39
10.4
637-638
1-19 (odd)
10.5
650-651
1-19 (odd)
10.6
662-664
1-19 (odd), 20
10.
675-677
1-17 (odd), 18, 22, 23
Selected projects from Chapters VII
1-13 (odd)
1-14
LERANING ACTIVITIES & TASKS
Students should be held responsible for their own ongoing learning process. They need to do
their assignments independently unless they are allowed to work in groups.
COURSE REGULATIONS
Student Responsibilities and Attendance Policies and Procedures
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Class attendance is compulsory. In accordance with University regulations, a student’s
absence cannot exceed 25% of the total number (entire semester) of class meetings. If
your absence rate exceeds 25%, including both excused and unexcused absences, you
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will NOT be allowed to take the final examination and will receive an ‘F barred’
grade for the course.
Students are expected to be punctual (every 3 late class arrivals will be counted as 1 class
absence) in class attendance and to conduct themselves in an adult and professional
manner.
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Homework assignments and library assignment should be worked independently.
Exchanging ideas is permitted but copying is not allowed.
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Homework assignment should be submitted in organized way and any late assignments
may be assessed and corrected but the grade will be zero.
PLAGIARISM (Academic Dishonesty)
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All students are expected to turn in work that is their own. Any attempt to pass off
another's work as your own will constitute an "F" in the entire course.
 Using part of, or the entire work, prepared by another or turning in a homework
assignment prepared by another student or party are examples of plagiarism.
 You may discuss assignments and projects with each other, but you should do the
work yourself. In the case of group projects, you will be expected to do your share of
the work. If you use someone else's words or ideas, you must cite your sources.
Plagiarism is considered a serious academic offence and can result in your work losing marks or being
failed. QU expects its students to adopt and abide by the highest standards of conduct in their interaction
with their professors, peers, and the wider University community. As such, a student is expected not to
engage in behaviours that compromise his/her own integrity as well as that of QU. You may discuss
assignments and projects with each other, but you should do the work yourself. In the case of group
projects, you will be expected to do your share of the work. If you use someone else's words or ideas, you
must cite your sources.
Plagiarism includes the following examples and it applies to all student assignments or submitted work:
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Use of the work, ideas, images or words of someone else without his/her permission.
Use of someone else's wording, name, phrase, sentence, paragraph or essay without using
quotation marks.
Misrepresentation of the sources that were used.
For further information see: http://www.plagiarism.org/
The instructor has the right to fail the coursework or deduct marks where plagiarism is detected
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