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DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING COURSE SYLLABUS
EE 300: Basic Electrical Engineering
COURSE TITLE ENGLISH
CODE/NO
ARABIC CODE/NO
.
CREDITS Th. Pr. Tr. Total Analytical Methods in Engineering EE 300 033 ك ـه 3 1 - 3
Pre-requisites: MATH 203
Course Role in Curriculum
(Required/Elective): Required Course Catalogue Description:
Linear algebra: matrices and determinants, eigenvalues and eigenvectors. Complex analysis: complex arithmetic, complex algebra, differentiation and integration in the complex plane and residue analysis. Graphs, Fundamental loops and fundamental cutsets.
Textbooks:
1 .
E. Kreyzig, Advanced Engineering Mathematics, 9
thEd, Wiley, 2006
Supplemental Materials:
1. P. O'Neil, Advanced Engineering Mathematics, ISE-Thomson, 2009 2. D. Zill and P. Shanahan, Complex Analysis, Jones and Bartlett, 2003.
3. F. Ayres, Matrices, McGraw-Hill, 1974.
4. W. Chen, Applied Graph Theory, North-Holland, 1976
Course Learning Outcomes:
By the completion of the course the student should be able to:
1.
Manipulate complex numbers in different basic mathematical operations, compute function values of complex variables and differentiate and integrate complex variable functions.2.
Describe the geometry of analytic functions3.
Manipulate various types of series: power, Taylor and Laurent, apply Cauchy integration formula and residual theorem and use contour integration to evaluate real improper integrals.4.
Express the concept of scalars, vectors and matrices, and construct simple mathematical proofs that are of engineering utility.5.
Recognize and handle some important classes of matrices: symmetric, skew-symmetric, involutory, idempotent, nilpotent, orthogonal, and orthonormal6.
Recognize the linear dependency and independency of vectors7.
Examine the existence of a square matrix inverse and calculate the matrix inverse using Gauss-Elimination method, the Gauss-Jordan method and the Cofactor method8.
Solve linear equations using Gauss-Elimination method and Cramer’s rule2
9.
Compute matrix eigenvalues and their associated eigenvectors and eigenspaces and apply the fundamental concepts of matrix eigenvalues in practical problems.10.
Explain the concept of graphs and directed graphs, and apply the graph theory to obtain and relate the reduced incidence matrix, the fundamental cutest matrix, and the fundamental loop matrix, based on a specific choice of datum (reference) node and spanning tree.11.
Write KCL and KVL for a given directed graph and express tree currents in terms of link currents and link voltages in terms of tree voltages.Topics to be Covered: Duration in
Weeks
1.
Complex numbers and operations1.5
2.
Special complex functions1.5
3.
Complex derivatives1.5
4.
Various types of series: power, Taylor, and Laurent1
5.
Integration in the complex plane1
6.
Residue integration and its applications1.5
7.
Introduction to linear algebra and vector spaces1.5
8.
Basic concepts, properties, and algorithms of matrices, their inverses and determinants1.5 9.
Eigenvalues and eigenvectors and their applications1.5
10.
Introduction to graph theory1.5
Student Outcomes addressed by the course: (Put a
x sign)(a) an ability to apply knowledge of mathematics, science, and engineering
(b) an ability to design and conduct experiments, as well as to analyze and interpret data (c) an ability to design a system, component, or process to meet desired needs within
realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
(d) an ability to function on multidisciplinary teams
(e) an ability to identify, formulate, and solve engineering problems (f) an understanding of professional and ethical responsibility (g) an ability to communicate effectively
(h) the broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context
(i) a recognition of the need for, and an ability to engage in life-long learning (j) a knowledge of contemporary issues
(k) an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
Key Student Outcomes assessed in the course: ( )
Instructor or course coordinator: Prof. Dr. Ali Rushdi
