دکتر جواد فرضی
تماس با من
پروفایل من
نویسنده (های) وبلاگ دکتر جواد فرضی
آرشیو وبلاگ
      دانشگاه صنعتی سهند: درس ریاضی مهندسی ()
سرفصلها و منابع نویسنده: دکتر جواد فرضی - سه‌شنبه ٢٥ شهریور ،۱۳٩۳

سرفصلها و منابع

 

منبع اصلی این درس عبارتست از:

Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons; 10th Edition International Student Version edition (3 May 2011)

 

PART C Fourier Analysis

PART D Complex Analysis

 

 

PART C Fourier Analysis. Partial Differential Equations (PDEs). CHAPTER 11 Fourier Series, Integrals, and Transforms. 11.1 Fourier Series. 11.2 Functions of Any Period p = 2L. Even and Odd Functions. Half-Range Expansions. 11.3 Forced Oscillations. 11.4 Approximation by Trigonometric Polynomials. 11.5 Sturm-Liouville Problems. Orthogonal Functions. 11.6 Orthogonal Eigenfunction Expansions. 11.7 Fourier Integral. 11.8 Fourier Cosine and Sine Transforms. 11.9 Fourier Transform. Discrete and Fast Fourier Transforms. 11.10 Tables of Transforms. Chapter 11 Review Questions and Problems. Summary of Chapter 11. CHAPTER 12 Partial Differential Equations (PDEs). 12.1 Basic Concepts. 12.2 Modeling: Vibrating String, Wave Equation. 12.3 Solution by Separating Variables. Use of Fourier Series. 12.4 D'Alembert's Solution of the Wave Equation. Characteristics. 12.5 Introduction to the Heat Equation. 12.6 Heat Equation: Solution by Fourier Series. 12.7 Heat Equation: Solution by Fourier Integrals and Transforms. 12.8 Modeling: Membrane, Two-Dimensional Wave Equation. 12.9 Rectangular Membrane. Double Fourier Series. 12.10 Laplacian in Polar Coordinates. Circular Membrane. Fourier-Bessel Series. 12.11 Laplace's Equation in Cylindrical and Spherical Coordinates. Potential. 12.12 Solution of PDEs by Laplace Transforms. Chapter 12 Review Questions and Problems. Summary of Chapter 12. PART D Complex Analysis. CHAPTER 13 Complex Numbers and Functions. 13.1 Complex Numbers. Complex Plane. 13.2 Polar Form of Complex Numbers. Powers and Roots. 13.3 Derivative. Analytic Function. 13.4 Cauchy-Riemann Equations. Laplace's Equation. 13.5 Exponential Function. 13.6 Trigonometric and Hyperbolic Functions. 13.7 Logarithm. General Power. Chapter 13 Review Questions and Problems. Summary of Chapter 13. CHAPTER 14 Complex Integration. 14.1 Line Integral in the Complex Plane. 14.2 Cauchy's Integral Theorem. 14.3 Cauchy's Integral Formula. 14.4 Derivatives of Analytic Functions. Chapter 14 Review Questions and Problems. Summary of Chapter 14. CHAPTER 15 Power Series, Taylor Series. 15.1 Sequences, Series, Convergence Tests. 15.2 Power Series. 15.3 Functions Given by Power Series. 15.4 Taylor and Maclaurin Series. 15.5 Uniform Convergence. Optional. Chapter 15 Review Questions and Problems. Summary of Chapter 15. CHAPTER 16 Laurent Series. Residue Integration. 16.1 Laurent Series. 16.2 Singularities and Zeros. Infinity. 16.3 Residue Integration Method. 16.4 Residue Integration of Real Integrals. Chapter 16 Review Questions and Problems. Summary of Chapter 16. CHAPTER 17 Conformal Mapping. 17.1 Geometry of Analytic Functions: Conformal Mapping. 17.2 Linear Fractional Transformations. 17.3 Special Linear Fractional Transformations. 17.4 Conformal Mapping by Other Functions. 17.5 Riemann Surfaces. Optional. Chapter 17 Review Questions and Problems. Summary of Chapter 17. CHAPTER 18 Complex Analysis and Potential Theory. 18.1 Electrostatic Fields. 18.2 Use of Conformal Mapping. Modeling. 18.3 Heat Problems. 18.4 Fluid Flow. 18.5 Poisson's Integral Formula for Potentials. 18.6 General Properties of Harmonic Functions. Chapter 18 Review Questions and Problems. Summary of Chapter 18.

 

  • نمره
    میان ترم 6               زمان: 1 آذر 1393 ساعت 2-4
    پایان ترم 12
    تمرین و پروژه 2


 

  نظرات ()
مطالب اخیر سرفصلها و منابع مسائل حل شده تمرین سری 3 سال نو مبارک همگرایی سری فوریه ادامه تمرین سری 2(سه تصویر مجزا) تمرین سری 2 تمرینات درس ریاضی مهندسی - رشته مهندسی مواد
کلمات کلیدی وبلاگ  
دوستان من عضویت کانال تلگرام آموزش زبان پرتال زیگور طراح قالب