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تحميل الدليل التدريبي

أسئلة شائعة


ملف المقرر 204 ريض

اسم المقرر بالعربي: المعادلات التفاضلية.

اسم المقرر بالإنجليزي: Differential Equations

الوصف بالعربي:

أنواع مختلفة من معادلات الدرجة الأولى وتطبيقاتها، المعادلات الخطية ذات الرتب الأعلى، الأنظمة الخطية ذات المعاملات الثابتة، تخفيض الرتبة، طريقة متسلسلات القوى لمعادلات الرتبة الثانية ذات المعاملات كثيرة الحدود، متسلسلات فورييه، متسلسلات فورييه للدوال الزوجية والفردية، مفكوك فورييه المركب، تكامل فورييه.

 

الوصف بالإنجليزي:

Various types of first order equations and their applications. Linear equations of higher order. Systems of linear equations with constant coefficients, reduction of order. Power series methods for solving second order equations with polynomial coefficients. Fourier series, Fourier series for even and odd functions. Complex Fourier series. The Fourier integrals

   MATH 204.doc

 

MATH 204 Differential Equations (3+0) credit-hours.

 Prerequisite: 201M or 203M:  Language of instruction:English  

Various types of first order equations and their applications. Linear equations of higher order. Systems of linear equations with constant coefficients, reduction of order. Power series methods for solving second order equations with polynomial coefficients. Fourier series, Fourier series for even and odd functions. Complex Fourier series. The Fourier integral.

 

 

Syllabus

COURSE MATH 204

SEMESTER II, 1428 – 1429 H

Department of Mathematics

TEXT BOOK: Differential equations with boundary value problems

Authors: Dennis G. Zill and Michael R Cullen (Sixth edition)

Additional References:

1. Fundamentals of Differential Equations and Boundary Value Problems (Fourth Edition)

2. Lecture Notes on Differential Equations by Khawaja Zafar Elahi

 

Week Course Details

1. Definition of a Diff Eq , Classification of Diff Eq by (type, order, linearity) ,

Interval of definition, Solutions (explicit, implicit). (Chapter 1). 

2. Initial value problems. Existence and uniqueness theorem, Separable

equations (Separable variable). (Chap 1+Chap 2). 

3. Linear equations, Exact Equations, Integrating factor. (Chap 2). 

4. Solutions by substitution: Homogeneous equations. (Chap 2). 

5. Bernoulli equation, Equations with linear coefficients. (Chap 2). 

6. Linear Models: Orthogonal trajectories, Growth and decay, Newton’s Law of Cooling/ Warming. (Chap 3). 

7. H.O.D.E. Linear Diff Eqs: Existence-Uniqueness theorem, Linearly

(independent, dependent), Wronskian. Reduction of order . (Chap 4).

8. Hom-Lin-Eq with constant coeffs. Undetermined coefficient method,

Superposition principle. (Chap 4). 

9. Variation of parameters, Cauchy-Euler Equation. (Chap 4). 

10. Solving systems of Linear Equations by Elimination. (Chap 4). 

11. Series solutions of Linear Equations. (Chap 6). 

12. Orthogonal Functions and Fourier Series. (Chap 11). 

13. Fourier cosine and sine series, Complex Fourier Series. (Chap 11). 

14. Fourier Integral. (Chap 14). 

15. Revision.

 COMMING EXAMS:

 Mid-Term Exam 1: Monday 11/04/1429 From: 7 to 8.30 (Done)

Mid-Term Exam 2: Monday 21/05/1429 From: 7 to 8.30 (Done)

 

Final Exam: Wednesday

14/06/1429: From: 1 to 4.00 (PM)

HOMWORK1-08.pdf:

HWP1.tif,

HWP2.tif,

HWP3.tif,

 Scan0059.tif,

 HWP5.tif

HOMEWORK-2.08.pdf

Scan0001.tif

Scan0002.tif

 Scan0003.tif 

HOMEWORK 3.pdf

Scan0004.tif

Scan0006.tif

Scan0007.tif 

Scan0008.tif 

Scan0009.tif

Scan0010.tif

Homework 4 DE.pdf 

Sol1.pdf

Sol2.pdf

Sol3.pdf

Sol4.pdf

Homework 5.pdf

HOMEWORK.6.pdf

 

 

Previous Exams

 

 

Exam1.pdf

EXAM2.pdf

EXAM3.pdf 

EXam4.pdf

Exam5.pdf

Exam6.pdf

Exam7_.pdf 

Exam8.pdf

Exam9.pdf

Exam10.pdf

Exam11.pdf 

Midterm1-S2-2007.pdf

Midterm2_2007_.pdf

Mid-T2-2006(SI).pdf 

MdTerm1S2.2006.pdf

F.Ex.I.2005.pdf

F-I-.Ex.II.20006.pdf  

ExamII-2007.pdf

Alternative Exam 2007MT2.pdf

Alternative ExamS2 final.pdf

Alternative Exam1-II-2006.pdf

Alternative Exam II2006_.pdf 

 

 التقيم:    تحسب درجة الطالب من 100 موزعة على النحو التالي

10

تمارين واجبات واختبارات قصيرة

20

الاختبار الفصلي الأول

20

الاختبار الفصلي الثاني

50

الاختبار النهائي

 
 
 
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