ﻧﻣوذج ( 5( ﻣﺧﺗﺻر ﺗوﺻﯾف اﻟﻣﻘرر رﻗم اﻟﻣﻘرر ورﻣزه:رﯾض اﻟﺗﺣﻟﯾل

(1)

) ﺝﺫﻮﻤﻧ 5

(

U

ﺭﺮﻘﻤﻟﺍ ﻒﻴﺻﻮﺗ ﺮﺼﺘﺨﻣ

:ﺭﺮﻘﻤﻟﺍ ﻢﺳﺍ ﻱﺩﺪﻌﻟﺍ ﻞﻴﻠﺤﺘﻟﺍ

ﺾﻳﺭ:ﻩﺰﻣﺭﻭ ﺭﺮﻘﻤﻟﺍ ﻢﻗﺭ 351

ﺾﻳﺭ:ﺭﺮﻘﻤﻠﻟ ﻖﺑﺎﺴﻟﺍ ﺐﻠﻄﺘﻤﻟﺍ ﺾﻳﺭ + ﻖﺑﺎﺳ 241

ﻦﻣﺍﺰﺘﻣ 321 ﺔﻳﺰﻴﻠﺠﻧﻹﺍ :ﺭﺮﻘﻤﻟﺍ ﺲﻳﺭﺪﺗ ﺔﻐﻟ

ﺲﻣﺎﺨﻟﺍ :ﺭﺮﻘﻤﻟﺍ ﻯﻮﺘﺴﻣ :ﺓﺪﻤﺘﻌﻤﻟﺍ ﺕﺎﻋﺎﺴﻟﺍ

4 : ﺭﺮﻘﻤﻟﺍ ﻒﺻﻭ Module Description

ﻒﻴﺼﻨﺘﻟﺍ ) ﺔﻴﻄﺨﻟﺍ ﺮﻴﻏ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺤﻟ ﺔﻳﺩﺪﻋ ﻖﺋﺍﺮﻁ ﺭﺍﺮﻜﺘﻟﺍ-

–

ﻦﺗﻮﻴﻧ ( ..ﻒﺋﺍﺰﻟﺍ ﻊﺿﻮﻟﺍ– ﻩﺬﻬﺑ ﺔﻘﻠﻌﺘﻤﻟﺍ ءﺎﻄﺧﻷﺍ ﻞﻴﻠﺤﺗﻭ ﺔﺳﺍﺭﺩ-

ﺎﻬﺑﺭﺎﻘﺗ ﺕﻻﺪﻌﻣ ﺔﺸﻗﺎﻨﻣﻭ ﻖﺋﺍﺮﻄﻟﺍ ﺔﻴﻄﺨﻟﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻢﻈﻧ ﻞﺣ-

ﺱﻭﺎﺠﻟ ﻑﺬﺤﻟﺍ) ﺓﺮﺷﺎﺒﻤﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﻞﻴﻠﺤﺘﻟﺍ–

LU (

ﺎﺳ ﺱﻭﺎﺟﻭ ﻰﺑﻮﻛﺎﺟ) ﺔﻳﺭﺍﺮﻜﺘﻟﺍﻭ (ءﺎﺧﺮﺘﺳﻻﺍﻭ ﻝﺪﻳ

ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗ-

ﻖﺋﺍﺮﻄﻟﺍ ﻩﺬﻬﺑ ﺔﻘﻠﻌﺘﻤﻟﺍ ﺏﺭﺎﻘﺗ ﺔﺸﻗﺎﻨﻣﻭ ﺔﻳﺭﺍﺮﻜﺘﻟﺍ ﺕﺎﻓﻮﻔﺼﻤﻟﺍ ﺝﺎﺘﻨﺘﺳﺍ-

ﺔﻳﺭﺍﺮﻜﺘﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ﺩﻭﺪﺤﻟﺍ ﺕﺍﺮﻴﺜﻛ ﺔﻄﺳﺍﻮﺑ ﺐﻳﺮﻘﺘﻟﺍﻭ ﻝﺎﻤﻜﺘﺳﻻﺍ-

ﺞﻧﺍﺮﺟﻻ) ﻞﻴﻠﺤﺗ ﻊﻣ (ﺔﻴﻔﻠﺨﻟﺍﻭ ﺔﻴﻣﺎﻣﻷﺍﻭ ﺔﻣﻮﺴﻘﻤﻟﺍ ﻕﻭﺮﻔﻠﻟ ﻦﺗﻮﻴﻧ–

ﺔﺠﺗﺎﻨﻟﺍ ءﺎﻄﺧﻷﺍ ﺍ ﺏﺎﺴﺤﻟ ﺔﻳﺩﺪﻌﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ-

ﻞﺿﺎﻔﺘﻟ ﺔﻗﺪﻟﺍ ﺔﺸﻗﺎﻨﻣ-

ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗﻭ ﻊﻣ ﻞﻣﺎﻜﺘﻟﺍﻭ ﻞﺿﺎﻔﺘﻟﺍ ﺏﺎﺴﺤﻟ ﺔﻳﺩﺪﻌﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ-

ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗﻭ ﺔﻗﺪﻟﺍ ﺔﺸﻗﺎﻨﻣ ﻞﺣ .ﻱﺩﺪﻌﻟﺍ ﻞﻣﺎﻜﺘﻠﻟ ﺱﻭﺎﺟ ﻖﺋﺍﺮﻁ-

ﺮﻠﻳﻭﺃ) ﺔﻳﺩﺪﻌﻟﺍ ﻕﺮﻄﻟﺎﺑ ﺔﻴﻠﺿﺎﻔﺘﻟﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ (ﺭﻮﻠﻳﺎﺗ–

Numerical methods for solving nonlinear equations ( bisection – iteration – Newton - false position … )- errors and rates of convergence- Direct methods for solving linear systems (Gauss elimination,LU

decomposition) and iterative methods (Jacobi –Gauss Seidel – Relaxation)-errors- iteration matrices and

convergence of iterative methods -

Polynomial

interpolation (Lagrange-Newton's methods: divided differences -

forward and backward differences) and

analysis of errors -

Numerical differentiation and

integration- errors and accuracy -

Gaussian

integration formulas- Euler and Taylor methods for solving differential equations of first order.

: ﺭﺮﻘﻤﻟﺍ ﻑﺍﺪﻫﺃ Module Aims

ﻡﺍﺪﺨﺘﺳﺍ ﻊﻣ ﺔﻳﺩﺪﻋ ﻕﺮﻄﺑ ﻞﻛﺎﺸﻤﻟﺍ ﺾﻌﺑ ﻞﺣ ﻕﺮﻄﺑ ﺔﻓﺮﻌﻤﻟﺍ ﻙﻼﺘﻣﺍ ﺐﺳﺎﺤﻟﺍ ﻞﻣﺎﻜﺘﻟﺍ ،ﻕﺎﻘﺘﺷﻹﺍ ﻝﻮﺣ ﺔﻘﺑﺎﺴﻟﺍ ﻢﻴﻫﺎﻔﻤﻟﺍ ﻖﻴﺒﻄﺗ

ﺘﺳﺍ ﻰﻠﻋ ﺩﻮﻌﺘﻟﺍﻭ ﻲﻓﻮﻔﺼﻤﻟﺍ ﻞﻴﻠﺤﺘﻟﺍ ﻦﻣ ﻦﻜﻤﺘﻟﺍ- ﺕﺎﻓﻮﻔﺼﻤﻟﺍ ﻝﺎﻤﻌ

ﺮﻴﺒﻜﻟﺍ ﺪﻌﺒﻟﺍ ﺕﺍﺫ ﻁﺎﻘﻧ ﻲﻓ ﻂﻘﻓ ﺔﻓﻭﺮﻌﻤﻟﺍ ﻝﺍﻭﺪﻟﺍ ﺐﻳﺮﻘﺗﻭ ﺕﺎﻄﻘﺘﺳﻹﺍ ﻦﻣ ﻦﻜﻤﺘﻟﺍ- -

ﻦﻋ ﺏﺎﺴﺤﻠﻟ ﺔﻠﺑﺎﻗ ﺮﻴﻐﻟﺍ ﺕﻼﻣﺎﻜﺘﻟﺍ ﺏﺎﺴﺤﻟ ﻱﺩﺪﻌﻟﺍ ﻞﻣﺎﻜﺘﻟﺍ ﻖﻴﺒﻄﺗ ﺔﻴﻠﺻﻷﺍ ﻝﺍﻭﺪﻟﺍ ﻖﻳﺮﻁ -

ﺕﺎﻋﺎﺴﻟﺍ ﻲﻓﻭ ﻝﺰﻨﻤﻟﺍ ﻲﻓ ،ﻒﺼﻟﺍ ﻲﻓ ﻦﻳﺭﺎﻤﺘﻟﺍ ﻰﻠﻋ ﺐﻳﺭﺪﺘﻟﺍ ﺔﻴﺒﺘﻜﻤﻟﺍ ﻰﻠﻋﻭ ﺕﺎﺒﺘﻜﻤﻟﺍ ﻲﻓ ﺚﺤﺒﻟﺍ-

. ﺖﻧﺮﺘﻧﻹﺍ ﺔﻜﺒﺷ Have the knowledge of the ways to solve some problems

in numerical ways using computers.

Have the knowledge of how to find the derivatives and integrations using numerical methods

Have the knowledge of how to solve matrix with large dimensions

Have the ability of interpolation to functions and how to find a function if we know only some points

Using numerical methods to solve integrations which have no known solutions

Solving some problems in home and in faculty with making some search in Libraries and using internet

U

(ﺔﻴﻠﻤﻌﻟﺍﻭ ﺔﻴﻨﻫﺬﻟﺍ ﺕﺍﺭﺎﻬﻤﻟﺍﻭ ﺔﻓﺮﻌﻤﻟﺍﻭ ﻢﻬﻔﻟﺍ) :ﻢﻴﻠﻌﺘﻟﺍ ﺕﺎﺟﺮﺨﻣ

:ﻰﻠﻋ ﺍﺭﺩﺎﻗ ﻥﻮﻜﻳ ﻥﺃ ﺭﺮﻘﻤﻟﺍ ﺍﺬﻬﻟ ﻪﺘﺳﺍﺭﺩ ﺪﻌﺑ ﺐﻟﺎﻄﻟﺎﺑ ﺽﺮﺘﻔﻳ

(2)

ﺐﺳﺎﺤﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻊﻣ ﺔﻳﺩﺪﻋ ﻕﺮﻄﺑ ﻞﻛﺎﺸﻤﻟﺍ ﺾﻌﺑ ﻞﺣ ﻞﻣﺎﻜﺘﻟﺍ ،ﻕﺎﻘﺘﺷﻹﺍ ﺩﺎﺠﻳﺇ ﺔﻘﺑﺎﺴﻟﺍ ﻢﻴﻫﺎﻔﻤﻟﺍ ﻖﻴﺒﻄﺗ

ﺕﺎﻓﻮﻔﺼﻤﻟﺍ ﻞﺣ ﺎﻬﻌﻣ ﻞﻣﺎﻌﺘﻟﺍ ﺔﻴﻔﻴﻛﻭ ﺓﺮﻴﺒﻜﻟﺍ ﺩﺎﻌﺑﻷﺍ ﺕﺍﺫ

ﻁﺎﻘﻧ ﻲﻓ ﻂﻘﻓ ﺔﻓﻭﺮﻌﻤﻟﺍ ﻝﺍﻭﺪﻟﺍ ﺐﻳﺮﻘﺗﻭ ﺕﺎﻄﻘﺘﺳﻹﺍ ﻦﻣ ﻦﻜﻤﺘﻟﺍ- -

ﻦﻋ ﺏﺎﺴﺤﻠﻟ ﺔﻠﺑﺎﻗ ﺮﻴﻐﻟﺍ ﺕﻼﻣﺎﻜﺘﻟﺍ ﺏﺎﺴﺤﻟ ﻱﺩﺪﻌﻟﺍ ﻞﻣﺎﻜﺘﻟﺍ ﻖﻴﺒﻄﺗ ﺔﻴﻠﺻﻷﺍ ﻝﺍﻭﺪﻟﺍ ﻖﻳﺮﻁ -

. ﺖﻧﺮﺘﻧﻹﺍ ﺔﻜﺒﺷ ﻰﻠﻋﻭ ﺕﺎﺒﺘﻜﻤﻟﺍ ﻲﻓ ﺚﺤﺒﻟﺍ solve some problems in numerical ways using computers.

find the derivatives and integrations using numerical methods

solve matrix with large dimensions

making interpolation to functions and how to find a function if we know only some points

solve integrations which have no known solutions-making some search in Libraries and using internet

U

ﺭﺮـــﻘﻤﻟﺍ ﻯﻮﺘـــﺤﻣ

ﺕﺎﻋﻮﺿﻮﻤﻟﺍ ﺔﻤﺋﺎﻗ ﻊﻴﺑﺎﺳﻷﺍ ﺩﺪﻋ

ﺲﻳﺭﺪﺘﻟﺍ ﺕﺎﻋﺎﺳ

ﻒﻴﺼﻨﺘﻟﺍ ) ﺔﻴﻄﺨﻟﺍ ﺮﻴﻏ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺤﻟ ﺔﻳﺩﺪﻋ ﻖﺋﺍﺮﻁ ﺭﺍﺮﻜﺘﻟﺍ-

ﻦﺗﻮﻴﻧ– ( ..ﻒﺋﺍﺰﻟﺍ ﻊﺿﻮﻟﺍ–

ﺕﻻﺪﻌﻣ ﺔﺸﻗﺎﻨﻣﻭ ﻖﺋﺍﺮﻄﻟﺍ ﻩﺬﻬﺑ ﺔﻘﻠﻌﺘﻤﻟﺍ ءﺎﻄﺧﻷﺍ ﻞﻴﻠﺤﺗﻭ ﺔﺳﺍﺭﺩ- ﺎﻬﺑﺭﺎﻘﺗ

- 3

12

ﺱﻭﺎﺠﻟ ﻑﺬﺤﻟﺍ) ﺓﺮﺷﺎﺒﻤﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﻄﺨﻟﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻢﻈﻧ ﻞﺣ ﻞﻴﻠﺤﺘﻟﺍ–

LU (

(ءﺎﺧﺮﺘﺳﻻﺍﻭ ﻝﺪﻳﺎﺳ ﺱﻭﺎﺟﻭ ﻰﺑﻮﻛﺎﺟ) ﺔﻳﺭﺍﺮﻜﺘﻟﺍﻭ ﻖﺋﺍﺮﻄﻟﺍ ﻩﺬﻬﺑ ﺔﻘﻠﻌﺘﻤﻟﺍ ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗ-

-

ﺔﻳﺭﺍﺮﻜﺘﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ﺏﺭﺎﻘﺗ ﺔﺸﻗﺎﻨﻣﻭ ﺔﻳﺭﺍﺮﻜﺘﻟﺍ ﺕﺎﻓﻮﻔﺼﻤﻟﺍ ﺝﺎﺘﻨﺘﺳﺍ -

3 12

ﻝﺎﻤﻜﺘﺳﻻﺍ ﺞﻧﺍﺮﺟﻻ) ﺩﻭﺪﺤﻟﺍ ﺕﺍﺮﻴﺜﻛ ﺔﻄﺳﺍﻮﺑ ﺐﻳﺮﻘﺘﻟﺍﻭ

ﺔﻴﻣﺎﻣﻷﺍﻭ ﺔﻣﻮﺴﻘﻤﻟﺍ ﻕﻭﺮﻔﻠﻟ ﻦﺗﻮﻴﻧ–

ﺔﺠﺗﺎﻨﻟﺍ ءﺎﻄﺧﻷﺍ ﻞﻴﻠﺤﺗ ﻊﻣ (ﺔﻴﻔﻠﺨﻟﺍﻭ -

3 12

ﻞﺿﺎﻔﺘﻟﺍ ﺏﺎﺴﺤﻟ ﺔﻳﺩﺪﻌﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗﻭ ﺔﻗﺪﻟﺍ ﺔﺸﻗﺎﻨﻣ-

- 2

8

ءﺎﻄﺧﻷﺍ ﺮﻳﺪﻘﺗﻭ ﺔﻗﺪﻟﺍ ﺔﺸﻗﺎﻨﻣ ﻊﻣ ﻞﻣﺎﻜﺘﻟﺍ ﺏﺎﺴﺤﻟ ﺔﻳﺩﺪﻌﻟﺍ ﻖﺋﺍﺮﻄﻟﺍ ﺱﻭﺎﺟ ﻖﺋﺍﺮﻁ-

ﻞﻣﺎﻜﺘﻠﻟ

.ﻱﺩﺪﻌﻟﺍ 2

8

ﺔﻳﺩﺪﻌﻟﺍ ﻕﺮﻄﻟﺎﺑ ﺔﻴﻠﺿﺎﻔﺘﻟﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺤﻟ ﺔﻣﺪﻘﻣ 1

4

U

:ﺓﺪﻧﺎﺴﻤﻟﺍ ﻊﺟﺍﺮﻤﻟﺍﻭ ﺭﺮﻘﻤﻟﺍ ﺏﺎﺘﻜﻟﺍ

ﺏﺎﺘﻜﻟﺍ ﻢﺳﺍ ﻒﻟﺆﻤﻟﺍ ﻢﺳﺍ

ﺮﺷﺎﻨﻟﺍ ﻢﺳﺍ ﺮﺸﻨﻟﺍ ﺔﻨﺳ

Numerical Analysis. 9^P^th^P ed R.L. Burden and J.D.

Faires:

Edition Brooks / cole 2011

Numerical methods E.A. Volkov

Mir Publishers Moscow 1986.

Introductory Methods of Numerical Analysis. 8th Edition

S.S. Sastry:

Prentice-Hall 1985