Engineering Mathematics-II

It is swipe based designed for engineering & applied science student to learn Mathematics-II. It almost cover all topics of Mathematics-2 which are given below

Chapter 1 Fourier Series

1. Introduction of Fourier series

2. Fourier series for Discontinuous functions

3. Convergence of Fourier series

4. Fourier series for even function

5. Fourier Series for Odd Functions

6. Half range series

7. Fourier Transform

8. Sine and Cosine transform

Chapter 2 Laplace Transform

1. Introduction of Laplace Transform

2. Laplace Transform of elementary functions

3. properties of Laplace Transform

4. Change of scale property

5. second shifting property

6. Laplace transform of the derivative

7. Inverse Laplace transform & its properties

8. Convolution theorem

9. Applications of L.T. to solve the ordinary differential equations

Chapter 3 Second Order linear differential equation with variable coefficients

1. Methods one integral is known

2. removal of first derivative

3. changing of independent variable and variation of parameter

4. Solution by Series Method

Chapter 4 Linear and Non Linear partial differential equation of first order

1. Formulation of partial differential equations

2. solution of equation by direct integration

3. Lagrange's Linear equation

4. charpit's method

5. Linear partial differential equation of second and higher order

6. Linear homogeneous and Non homogeneous partial diff

7. equation of nth order with constant coefficients

8. Separation of variable method for the solution of wave and heat equations

Chapter 5 Vector Calculus

1. Differentiation of vectors

2. scalar and vector point function

3. geometrical meaning of Gradient

4. unit normal vector and directional derivative

5. physical interpretation of divergence and Curl

6. Line integral

7. surface integral and volume integral

8. Green's Theorem

9. Stoke's and Gauss divergence theorem

</div> <div jsname="WJz9Hc" style="display:none">Hal ini menggesek berbasis dirancang untuk engineering & diterapkan mahasiswa ilmu untuk belajar Matematika-II. Hampir mencakup semua topik Matematika-2 yang diberikan di bawah ini

Bab 1 Fourier Series

1. Pengenalan seri Fourier

2. seri Fourier untuk fungsi Terputus-putus

3. Konvergensi seri Fourier

4. seri Fourier untuk fungsi bahkan

5. Fourier Series untuk Fungsi Ganjil

6. Setengah berbagai seri

7. Fourier Transform

8. Sinus dan Cosinus mengubah

Bab 2 Laplace Transform

1. Pengenalan Laplace Transform

2. Laplace Transform dari fungsi dasar

3. sifat Laplace Transform

4. Ganti properti skala

5. kedua properti pergeseran

6. Transformasi Laplace dari turunan

7. Inverse Transformasi Laplace & sifat-sifatnya

8. Konvolusi teorema

9. Aplikasi L.T. untuk memecahkan persamaan diferensial biasa

Bab 3 Orde Kedua persamaan diferensial linear dengan koefisien variabel

1. Metode satu terpisahkan adalah diketahui

2. penghapusan derivatif pertama

3. perubahan variabel independen dan variasi parameter

4. Solusi oleh Metode Series

Persamaan diferensial parsial bab 4 Linear dan Non Linear dari urutan pertama

1. Perumusan persamaan diferensial parsial

2. solusi dari persamaan dengan integrasi langsung

3. Persamaan Linear Lagrange

Metode 4. charpit ini

5. Linear persamaan diferensial parsial urutan kedua dan lebih tinggi

6. Linear homogen dan Non diff parsial homogen

7. persamaan rangka n dengan koefisien konstan

8. Pemisahan metode variabel untuk solusi gelombang dan panas persamaan

Bab 5 Vector Calculus

1. Diferensiasi vektor

2. skalar dan fungsi titik vektor

3. arti geometris dari Gradient

4. vektor satuan normal dan directional derivatif

5. interpretasi fisik divergensi dan Curl

6. Jalur terpisahkan

7. integral permukaan dan volume terpisahkan

8. Hijau Teorema

9. Stoke dan Gauss teorema divergensi</div> <div class="show-more-end">