Form No. QC001
FACULTY OF ENGINEERING
Department: Basic Engineering Sciences
Course Syllabus
Tarek Nabil Ahmed
Differential Equations
Instructor Name
Course Title:
MATH 106
Prerequisite:
Level:
Lecture Times:
Office Hours
5
Co-requisite:
Academic Year:
SU. 9 – 10
TU. 2-3
TH. 1-2
G1
TU . 11 - 12
Course code:
-
MATH 204
3 (3,1,0)
Cr.
Hrs:
SU: 8-9 G1- WD:10-11 G2
Tutorial
Time:
1434/1435 Semester:
Second Semester
Mo.10-11
Lab Time:
Tu. 1 – 2
TH:9-10
G2
TH: 10-11
Office number
1D003-2-42-5
Course Description
First order and first degree differential equations: equations with separable variables, homogeneous and
non homogeneous equations, exact and non exact equations, linear and non linear equations. The
linear first order equations of higher degree. The linear second order equations: direct deduction,
comparison theorems, variation of parameters, and the inverse differential operator. Systems of
differential equations. Laplace transform and Fourier Series, their applications to solve linear differential
equations.
Course Goals and Objectives
1
2
3
4
Training to solve first order and first degree differential equations, first order equations of higher degree and
linear second order equations, by using several methods.
Learning how to solve systems of differential equations.
Understanding the principles of Laplace transform and Fourier Series techniques and their applications in
solving linear differential equations.
Accustoming student’s logical and scientific thinking through the acquisition of different practical
mathematical.
Course Outcomes
1
2
3
N
1
2
3
4
5
1
2
3
4
Apply knowledge of mathematics, science, and engineering.
An ability to identify, formulate, and solve engineering problems.
A knowledge of contemporary issues
Course Contents
Short Description
First order and first degree differential equations: equations with separable variables,
homogeneous and non homogeneous equations, exact and non exact equations, linear
and non linear equations.
The linear first order equations of higher degree.
The linear second order equations: direct deduction, comparison theorems, variation of
parameters, and the inverse differential operator
Systems of differential equations
Laplace transform and Fourier Series, their applications to solve linear differential
equations.
Mode of Assessment
First Midterm exam
Second Midterm exam
Quiz and homework assignments
Final Exam
Textbook:
References:
Week
1,2,3,4
5,6
7.8.9,10
11,12
13,14,15
20%
20%
20%
40%
Books
Dennis G. Zill, " A first Course in Differential Equations with modeling Applications" ,
Brooks/Cole Cengage Learning, Last Edition 2009.
Morris Tenenbaum, Harry Pollard, Ordinary Differential Equations, Dover, Latest edition