Numerical Analysis, by Kincaid & Cheney, 3rd ed. 2002

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Zarqa University Instructor:

Faculty of Science Lecture’s time:

Department: Mathematics Semester:

Course title: Numerical analysis

Course Number: 0301372 Office Hours:

Course description:

Numerical analysis 1

Aims of the course:

1. Understanding the core concepts of Numerical Analysis 2. Understanding how to approximate the sol of a non-linear eqn 3. Understanding how to approximate definite integrals

4. Understanding the difference between direct and iterative methods 5. Understanding how to approximate the solution of DEs

Intended Learning Outcomes: (ILOs)

A.

KnowledgeandUnderstanding A1.ConceptsandTheories:

New theorems and methods

A2.Contemporary Trends, Problems and Research:

New developments and approaches A3.Professional Responsibility:

Applying Numerical techniques to solve problems that appear in different fields

B.

Subject-specific skills B1. Problem solving skills:

Developing and improving students skills B2.ModelingandDesign:

Examples and problems

B3.ApplicationofMethodsandTools:

Examples and problems using available software

C.

Critical-Thinking Skills C1.Analytic skills:

Analyzing the given problem C2.Strategic Thinking:

Selecting the best approach to solve the problem C3.Creative thinking and innovation:

Developing and tailoring special methods for a given class of problems

D.

General and Transferable Skills (other skills relevant to employability and personaldevelopment) D1.Communication:

Discussions and answering the students questions D2.Teamwork and Leadership:

Allowing the students to form groups to work on selected projects

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Course structures:

Week Credit

Hours ILOs Topics Teaching

Procedure Assessment methods

1 3

^B1C1 Review of Calculus.

Taylor Series

Lecture and discussions

Questions and answers

2 3

A1,B1C1

,D1

Numerical Solution of Non-Linear Eqs Bisection Method Fixed point Iteration

3 3

A1,B3 Newton-

Raphson Method Secant Method

Lecture and

discussions Questions and answers

4 3

A1,B1C1,B3 Direct Methods for Solving Linear Systems LU Factorization

Lecture and discussions

5 3

^A1,B1C1^,B3 ^NumericalDifferentiation

Lecture and

discussions

6 3

^A1,B1C1^,B3 ^NumericalIntegration

Lecture and

discussions

7 3

^A1,B1C1^,B3 Interpolation

Lecture and

discussions

8 3

A1,B1C1,B3 Divided-

Differences and Newton’s

Interpolating Poly

9 3

A1,B1C1,B3 Iterative

Methods for Solving Linear Systems

Jacobi Method

Lecture and discussions

10 3

^A1,B1C1^,B3 Gauss-Seidel

Method

Lecture and

11 3

^A1,B1C1^,B3 Numerical Sol

for ODEs Euler Method

12 3

^A1,B1C1^,B3 Taylor Series

Method

Lecture and

discussions

13 3

^A1,B1C1^,B3 Runge-Kutta

Methods

Lecture and

14 3

^B1,D1 Num Sol for

PDEs

Lecture and

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References:

A.

Main Textbook:

Numerical Analysis by R. L. Burden & J. D. Faires, 8

^th

ed.

B.

Supplementary Textbook(s):

Numerical Analysis, by Kincaid & Cheney, 3rd ed.

2002 .

Assessment Methods:

Methods Grade Date

First exam 20

Second exam 20

participation 10

Final 50

ZU/QP10F004