Increase the awareness of his mental potential and abilities; gain an ability to utilize a higher percentage the capacity of the mind via brain exercises.
Solidify the patterns of rational or mathematical (and therefore exact) thinking.
Have a knowledge with the Engineering Mathematics needed in diverse areas of science and technology in general, and specific areas of engineering in particular.
Acquire effective analytical thinking ability and study habits; and also deepen and widen his thought and vision.
Develop problem-solving skills.
Will be able to apply the Engineering Mathematics knowledge for solving science and engineering problems.
Acquire the ability of keeping up with the constantly changing science, technology and engineering methods.
Mode of Delivery
Face to face
Prerequisites
Yes(MAT151)
Recommended Optional Programme Components
None
Course Description
This course contains these concepts: Origin and Classifications of Differential Equations, Exact Differential Equations, Linear Differential Equations, Bernoulli's Equation, Applications, Higher Order Differential Equations, Equations with Constant Coefficients, Cauchy Equation, Legendre Equation, Variation of Parameters, Power Series Solutions, Applications, Laplace Transform, Inverse Laplace Transforms, Laplace Solutions, System of Differential Equations and Solutions, Partial Differential Equations and Applications.
Course Contents
WEEK
TOPICS
1st Week
Classification of differential equations.
2nd Week
Separable equations. Homogeneous equations.
3rd Week
Exact differential equations. Linear equations. Bernoulli equations.
4th Week
Nonlinear equations. Applications of differential equations.
5th Week
Linear differential equations of higher order.
6th Week
Linear differential equations of higher order with constant coefficients.
7th Week
The method of undetermined coefficients.
8th Week
Midterm Exam
9th Week
Reduction of order method, Cauchy-Euler equation.
10th Week
The method of variation of parameters.
11th Week
The Laplace transform. The inverse Laplace transform.
12th Week
Solutions of differential equations using Laplace transform.
13th Week
Homogeneous differential equation systems.
14th Week
Non-homogeneous differential equation systems.
15th Week
Partial differential equations.
Recommended or Required Reading
Rainville E.D., Bedient P.E., Bedient R.E., Elementary Differential Equations (1997), Prentice Hall.
Zill D.G., Cullen M.R., Differential Equations with Boundary Value Problems (2008), Brooks/Cole Publishing Company, ITP Inc.
Planned Learning Activities and Teaching Methods
Lecture
Questions/Answers
Assessment Methods and Criteria
Quantity
Percentage (%)
Mid-term
1
35
Quiz
2
15
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
