## Taleb Maslamani

أستاذ مساعد بقسم الفيزياء

## فيزياء رياضيه (1)

 Course Information Course Title Introduction to Mathematical Physics 1 Course Description This course covers the following topics: Principles of Integral Evaluation, Different system of coordinates, Multi dimensional differential operators and its application in Physics, Complex number, Differential equations and Fourier Series. Text Book References Mathematical methods in the physical science,  2nd Edition Mary Boas Course Objectives Present new types of integrals Introduce different system of coordinates Using multi dimensional differential operators in different system of coordinates Present the complex numbers Solving first order and second order differential equations Present Fourier series Useful Resources Mathematical Methods in the Physical Sciences. By Arfken, 2nd Ed. Course Content Week Topics Chapter in Text 1 Review to Principles Scalars and vectors, Chapter 1 2-4 rotation of axes, scalar product, vector product, division by a vector, triple product, gradient, differentiation of vectors, vector integration, divergence, Gauss’s divergence theorem, Gauss’s law, the curl, Stokes’s theorem, successive application of gradient, Greens theorem, potential theory. Chapter 1 5-9 Curvilinear Coordinate: Cartesian, spherical, and cylindrical coordinates, transformation from spherical to Cartesian, from Cartesian to spherical, from cylindrical to Cartesian, from Cartesian to cylindrical, separation of variables in Cartesian, spherical, and Cylindrical system of coordinates. Chapter 2 10 Chapter (3) Complex Numbers Introduction, graphical representation of complex number, complex conjugate, Addition, subtraction, multiplication and division of complex numbers, De Moivre’s formula, powers and roots of a complex number, function of complex variable, examples and applications Chapter 3 11-13 Chapter (6) Ordinary Differential Equations Introduction, separable equations, linear equations, exact equations, homogenous differential equations, Bernoulli equation, homogenous second order linear differential equations with constant coefficients, Inhomogeneous second order linear differential equations with constant coefficients. Chapter 6 14-15 Chapter (7) Fourier Series Introduction, useful integrals, calculations of Fourier coefficients, general form of Fourier series, complex form of Fourier series, periodic functions with interval 2l, Fourier expansion of even and odd functions, completeness relation (Parseval’s theorem), some properties and uses of Fourier series Chapter 7

الاحد:  10-11

الاثنين: 8-9

الثلاثاء: 10-12

الاربعاء:9-12

## مواعيد الاختبارت

 الامتحان الثاني الامتحان الاول المادة 10-06-1434 19-05-1434 فيزياء عامه 202 20-06-1434 21-05-1434 فيزياء رياضية 203 5-06-1434 21-04-1434 فيزياء رياضية 204 11-06-1434 4-05-1434 فيزياء رياضية 305

## جامعة المجمعة كلية العلوم بالزلفي الرمز البريدي 11932 ص. ب. 1712 [email protected] 064044097

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### إحصائية الموقع

عدد الصفحات: 20

البحوث والمحاضرات: 86

الزيارات: 37698