The University of Jordan
School of Engineering
Department of Electrical Engineering
1st Semester – A.Y. 2014/2015 /
Course: / Engineering Numerical Methods – 0903301 (3 Cr. – Core Course)
Instructor: / Dr. Andraws Sweidan ,
Course Website: / N/A
Catalog Data: / Mathematical preliminaries, numerical errors and, loss of significance. Numerical solution of nonlinear algebraic equations, Review of linear algebra (Solution of systems of linear equations). Numerical solutions of systems of linear and non-linear algebraic equations. Interpolation and approximation and curve fitting. Numerical differentiation and integration. Numerical solution of differential equations. Eigenvalue problems. Introduction to numerical solution of partial differential equation. Engineering applications.

Prerequisites by

Course: / Engineering Math (1) 0301202

Prerequisites

By Topic: / Students should have a background of:
·  Calculus, linear algebra solution and differential equations.
Textbook: / Applied Numerical Methods with MATLAB for and Scientists
By Steven Chapra, 3rd Edition, McGraw-Hill, 2011.
References: /

·  Numerical Methods for EngineersbySteven ChapraandRaymond Canale, 7th edition, McGraw-Hill, 2014.

·  Numerical Methods with MATLAB: Implementations and Applications byGerald W. Recktenwald, 2nd edition, Pearson, 2000.

·  Applied Numerical Methods W/MATLAB: for Engineers & ScientistsbySteven Chapra, 3rd edition, McGraw-Hill, 2011.

·  Numerical Methods for Scientists and Engineers by R. W. Hamming, 2nd edition, Dover Publications, 1987.

Schedule &
Duration: / 16 Weeks, 42 contact hours (50 minutes each) including exams.

Minimum Student

Material: / Text book, class handouts, scientific calculator, and an access to a personal computer.

Minimum College

Facilities: / Classroom with blackboard and projection display facilities, library, and computational facilities. Course work including assignments using MATLAB and SPICE.
Course Objectives: / ·  Numerical errors, loss of significance and propagation of errors.
·  Numerical solution of nonlinear algebraic equations.
·  Numerical solution of systems of linear and nonlinear algebraic equations.
·  Interpolation, extrapolation and curve fitting.
·  Numerical differentiation and integration.
·  Numerical determination of eigenvalues and eigenvectors.
·  Numerical solution of systems of ordinary differential equations.
·  Introduction to numerical solution of partial differentials equations.
·  Numerical solution of practical engineering problems.
Course Learning Outcomes and Relation to ABET Student Outcomes:
Upon successful completion of this course, a student should:
1. / Understand the advantages of numerical methods, the types of numerical errors, accuracy and precision. / [a, k]
2. / Understand the most common numerical methods that can be used to find the roots using bracketing methods and open methods. / [a]
3. / Understand the method used to solve the linear system and nonlinear system and determine the eigenvalues. / [e]
4. / Understand the principles of curve fitting and the most common methods used for curve fitting such as linear regression and interpolation. / [a]
5. / Understand the methods used for numerical integration. / [a,k]
6. / Understand the methods used for numerical differentiation. / [a,k]
7. / Understand the numerical methods used to solve the ordinary differential equations. / [a,k]
Course Topics:
Topic Description / Hrs
1. / Course Introduction / 2
2. / Error Calculation and Analysis / 4
3. /
Solution of Non – linear equations:
Bisection, False position, Simple iteration, Newton raphson, Secant. / 6
4. /
Solution of Linear Systems of equations:
Gaussian elemination, LU decomposition, iterative methods. / 9
5. /
Interpolation: Lagrange, Newton.
/ 3
6. /
Curve Fitting:
Least square, linearization. / 3
7. / Solution of differential equations:
Euler, Huen, Runge – Kutta. / 6
8. / Numerical Integration:
Trapezoidal, Simpson, Gauss Legendre / 9
9. / Numerical Differentiation:
Difference formulas / 3
10. / Introduction to partial differential equation and engineering applications / 3
Ground Rules: / Class attendance will be taken and the University policy on absence will be followed.
Assessments: / Exams, quizzes and assignments.
Grading policy: / Midterm Exam / 30 %
Exam / 20 %
Final Exam / 50 %
Total / 100%
Last Updated: / September 2014