es19_syllabus_20102011

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Caraga State UniversityCollege of Engineering and Information Technology

Ampayon, Butuan City

Department of Engineering Sciences

Course Syllabus for ES 19* Numerical Analysis

Part I: Vision, Mission, Goals and Objectives

Vision:A lead institution of higher learning committed to excellence in Science and Technology towards sustainable development of the Caraga Region.

Mission:To provide the Caraga region with relevant programs and produce competent individuals who are scientifically trained, technologically skilled, andmorally upright, through quality instruction, research, extension and production.

Goals: To achieve Center of Excellence (CoE) in BSITand Center of Development(CoD) in BSGE and Level II for the other degree programs To offer MSIT,MS Remote Sensing (MSRS) and PhD IT programs To produce degree holder and techno-vocational graduates who are passers of national competency/licensure examinations.

Objectives: To enhance the educational processes and, ultimately, the competitive advantage of our graduates in the Caraga businesses and industries. To focus our efforts to utilize available resources efficiently. To strengthen the college and stakeholders partnerships that lead towards a thorough student development. To seek and devise quality programs for faculty development. To identify constraints and develop effective strategies which will provide optimum solution. To provide engineering and information technology solutions through research and development.

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Part II: Subject Details

COURSE ES 19

COURSE TITLE Numerical Analysis

COURSE DESCRIPTION This course deals with numerical solution to roots of equations, simultaneous equations, curve fitting, numerical integration and differentiatioOrdinary Differential Equations applied to initial value problems, Ordinary Differential Equations applied to Boundary value problems, and Parti

Differential Equations applied on Elliptical PDEs, Parabolic PDEs and Hyperbolic PDEs.

NO. OF UNITS 3 Units

PRE-REQUISITE Differential Equations

GENERAL OBJECTIVES At the end of the course, the students will be able to:1. Introduce the basic concepts of numerical analysis to engineering and computer students

2. Apply concepts in problem solving later on to their respective field of discipline.

Topic TimeFrame(Hours)

Specific Objectives Mode of Instructions InstructionalMaterials andResources

EvaluativeMeasures

Values

I. OrientationA. Mission and Vision of

the Institute

B. College Goals andObjectives

C. Course SyllabusD. Class Policies

2 1. Memorize The Institute Missionand Vision

2. Relate to personal goals andobjectives

Lecture/Discussion using SlidePresentation

Demonstration lecture Problem Solving Technique

Textbook Researched

materialsfrominternet

Egroupuploadedfiles

OralRecitation

Personal drivand hardwork

Determination

II. Roots of Equations1. Incremental Search

Method2. Half-Interval Method3. Regular Falsi Method4. Newton-Raphson Method5. Bairstows Method

18 1. Define and explain all methods infinding roots of equation

2. Solve problems involving findingroots of equations

3. Write computer programs usinglanguage of choice



Textbook Researched

materials

frominternet

Egroupuploadedfiles

Quizzes Seatwork Problem Sets Board works Machine

Problem

Perseverance Hardwork Accuracy Consistency

III. Solution to SimultaneousEquations1. Gauss Elimination Method 10

1. Define and explain all methods infinding solutions to simultaneousequations


Demonstration lecture Textbook Researched

materials

Quizzes Seatwork Problem Sets

Perseverance Hardwork Accuracy

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2. Gauss-Jordan EliminationMethod

3. Gauss-Seidel Method2. Solve problems involving solution

to simultaneous equations


Problem Solving Technique frominternet

Egroupuploadedfiles

Board works Machine

Problem

Consistency

IV. Curve Fitting

1. Method of Least Squares Fit 10

1. Define and explain Method ofLeast Squares Fit

2. Solve problems involving CurveFitting




Textbook Researched


Egroupuploadedfiles


Problem


V. Numerical Integration and

Differentiation1. Integration by Trapezoidal

Rule2. Romberg Integration3. Numerical Differentiation

10 1. Define and explain differentnumerical integration anddifferentiation methods

2. Solve Problems involvingnumerical integration anddifferentiation




Textbook Researched


Egroupuploadedfiles


Problem


VI. ODEs : Initial ValueProblems

1. Direct NumericalIntegration Method2. Eulers Method/ModifiedEuler

3.Runge-Kutta Method

10 1. Define and explain ODEsinvolving initial value problemsand methods of solution

2. Solve Problems ODEs involvinginitial value problems




Textbook Researched

materialsfrom

internet

Egroupuploadedfiles


Problem

Perseverance Hardwork AccuracyConsistency

VII. ODEs : Boundary ValueProblems1. Trial and Error Method2. Simultaneous Equation

Method

10 1. Define and explain ODEsinvolving boundary value

problems and methods of solution2. Differentiate different numerical

methods3. Write computer programs using



Textbook Researched


Egroup


Problem


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language of choice uploaded

files

VIII. PDEs :1. Elliptical PDEs2. Parabolic PDEs3. Hyperbolic PDEs

20 1. Define and explain PDEsinvolving physical problems andmethods of solution

2. Differentiate different numericalmethods




Quizzes Seatwork Problem Sets Board works MachineProblem


Equipment

Calculator, Personal Computer, LCD Projector, Laptop, Laser Pointer

References

1. Numerical Methods for Engineers by Steven C. Chapra and Raymond P. Canale2.Applied Numerical Methods for Digital Computation with FORTRAN AND CSMP3. Elementary Differential Equation by Earl Rainville

III. Additonal Resources Available on the egroup: [email protected]

IV. Criteria for GradingMajor Examinations

1st Long Exam 20%2nd Long Exam 20%3rd Long Exam 20%

Final Exam 30%Machine Problems 10%

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Note: A student will be exempted from taking the Comprehensive Final Exam when he/she have a total percentage of 60% or higher based on theresults of 1st, 2nd, and 3rd Long Exams and Problem Set.

Students exempted from the Final exam who will take the Final Exam will have an equal chance of increasing or decreasing his/her grade.

The final grade corresponding to the students general average is given in the table below:

GENERAL AVERAGE FINAL GRADE

92 - 100 1.088 - below 92 1.2585 - below 88 1.5082 - below 85 1.7578 - below 82 2.074 - below 78 2.2570 - below 74 2.50

65 - below 70 2.7560 - below 65 3.0050 - below 60 4.00/INCBelow 50 5.00

Prepared by: Checked by: Approved by:

JONATHAN M. TIONGSON, MSCE SONIA I. BUSCANO, MSChE ALEXANDER T. DEMETILLO, ECEInstructor Chairman, Engineering Sciences Department OIC-Dean, CEIT

es19_syllabus_20102011

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