Numerical Analysis (2) Course Code: MTH4403-3 Program

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Course Title: Numerical Analysis (2) Course Code: MTH4403-3

Program:

BSc. Mathematics

Department:

Mathematics

College:

Jamoum University College

Institution:

Umm Al-Qura, University

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2

3 A. Course Identification

1. Credit hours:

2. Course type

a. ^University College Department Others

b. Required ^Elective

3. Level/year at which this course is offered:

level 12

4. Pre-requisites for this course (if any): Numerical Analysis 1

5. Co-requisites for this course (if any):

6. Mode of Instruction (mark all that apply)

No Mode of Instruction Contact Hours Percentage

1 Traditional classroom 30 100%

2 Blended 3 E-learning

4 Distance learning 5 Other

7. Contact Hours (based on academic semester)

No Activity Contact Hours

1 Lecture 20

2 Laboratory/Studio

3 Tutorial 10

4 Others (specify)

Total 30

B. Course Objectives and Learning Outcomes

1. Course Description

Many real world problems are not solvable analytically, meaning that it is necessary to develop numerical methods to solve these problems. Additionally, applying these methods to large problems requires the algorithms to be implemented in a computer language such as MATLAB. This course addresses both the theoretical development of numerical methods and their implementation in MATLAB

2. Course Main Objective

Many real world problems are not solvable analytically, meaning that it is necessary to develop numerical methods to solve these problems. Additionally, applying these methods to large problems requires the algorithms to be implemented in a computer language such as MATLAB. This course addresses both the theoretical development of numerical methods and their implementation in MATLAB

This course will introduce you to the essential problems and solution techniques of numerical

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4

linear algebra, including square linear systems, eigenvalue problems, and least squares 3. Course Learning Outcomes

CLOs Aligned

PLOs 1 Knowledge and Understanding

1.1 1.2 1.3 1...

2 Skills :

2.1 Formulate and solve relatively complicated mathematical models for real world problems where there is dependence in both time and space 2.2

2.3 2...

3 Values:

3.1 Effectively work alone and in groups on the solution of problems 3.2

3.3 3...

C. Course Content

No List of Topics Contact

Hours

1 Interpolation using Cubic Spline method 6

2 Interpolation using Least squares method 3

3 Interpolation using Least squares method by orthogonal polynomial 6

4 Chebyshev polynomials and Economization of Power series 6

5 Rational function approximation 3

6 Trigonometric Polynomial approximation 6

Total 30

D. Teaching and Assessment

1. Alignment of Course Learning Outcomes with Teaching Strategies and Assessment Methods

Code Course Learning Outcomes Teaching Strategies Assessment Methods 1.0 Knowledge and Understanding

1.1 Have knowledge and understanding of various numerical methods

Lectures - Discussions, and homework 1.2 Be able to integrate related topics from

separate parts of the course

Lectures - Discussions, and homework

Short quizzes, periodical and final exams.

…

2.0 Skills

2.1 Be able to follow specialized and application-oriented technical

Lectures - Discussions, and

Short quizzes, periodical and final

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5

Code Course Learning Outcomes Teaching Strategies Assessment Methods

literature in the area homework exams.

2.2

Formulate and solve relatively

complicated mathematical models for real world problems where there is dependence in both time and space

…

3.0 Values

3.1 Effectively work alone and in groups on the solution of problems

3.2

…

2. Assessment Tasks for Students

# Assessment task* Week Due Percentage of Total

Assessment Score

1 Midterm Exam 6th %25

2 Quizes and homeworks During semester %25

3 Final exam End of semester %50

*Assessment task (i.e., written test, oral test, oral presentation, group project, essay, etc.)

E. Student Academic Counseling and Support

Arrangements for availability of faculty and teaching staff for individual student consultations and academic advice :

F. Learning Resources and Facilities

1.Learning Resources

Required Textbooks R.Burden, J.Faires: Numerical Analysis 9 th edition Essential References

Materials Electronic Materials

Other Learning Materials

2. Facilities Required

Item Resources

Accommodation

(Classrooms, laboratories, demonstration rooms/labs, etc.)

(Classrooms, laboratories, demonstration rooms/labs, etc.

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6

Item Resources

Technology Resources

(AV, data show, Smart Board, software, etc.)

Smart board. - Classroom is equipped with a computer. - Provide projectors and related items.

Other Resources

(Specify, e.g. if specific laboratory equipment is required, list requirements or

attach a list)

Matlab software – Smart board

G. Course Quality Evaluation

Evaluation

Areas/Issues Evaluators Evaluation Methods

Effectiveness of teaching and

assessment. Students Direct

Quality of learning resources. Students Direct

Extent of achievement of

course learning outcomes. Faculty member Direct

Evaluation areas (e.g., Effectiveness of teaching and assessment, Extent of achievement of course learning outcomes, Quality of learning resources, etc.)

Evaluators (Students, Faculty, Program Leaders, Peer Reviewer, Others (specify) Assessment Methods (Direct, Indirect)

H. Specification Approval Data

Council / Committee Council of the Mathematics Department

Reference No.

Date