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">Ia sapu berasaskan penyelidikan direka untuk kejuruteraan & digunakan pelajar sains belajar Matematik-II. Ia hampir meliputi semua topik Matematik-2 yang diberikan di bawah

Bab 1 Siri Fourier

1. Pengenalan siri Fourier

2. siri Fourier untuk fungsi selanjar

3. Convergence siri Fourier

4. siri Fourier untuk fungsi genap

5. Siri Fourier untuk Fungsi Ganjil

6. Separuh siri pelbagai

7. Fourier Transform

8. sinus dan kosinus mengubah

Bab 2 Penjelmaan Laplace

1. Pengenalan Penjelmaan Laplace

2. Jelmaan Laplace fungsi asas

3. sifat-sifat Jelmaan Laplace

4. Pertukaran hartanah berskala

5. kedua harta beralih

6. Laplace derivatif

7. songsang Laplace & sifat-sifatnya

8. konvolusi teorem

9. Penggunaan L.T. untuk menyelesaikan persamaan pembezaan biasa

Bab 3 Perintah Kedua persamaan pembezaan linear dengan pekali pembolehubah

1. Kaedah salah penting adalah diketahui

2. penyingkiran terbitan pertama

3. perubahan pembolehubah bebas dan variasi parameter

4. Penyelesaian secara Siri Kaedah

Bab 4 Linear dan Tidak Linear persamaan pembezaan separa peringkat pertama

1. Perumusan persamaan pembezaan separa

2. penyelesaian persamaan dengan integrasi langsung

3. Persamaan Linear Lagrange

Kaedah 4. charpit ini

5. Linear persamaan pembezaan separa peringkat kedua dan lebih tinggi

6. Linear beza separa homogen homogen dan Bukan

7. persamaan perintah-n dengan pekali malar

8. Pengasingan kaedah pembolehubah bagi penyelesaian gelombang dan haba persamaan

Bab 5 Kalkulus Vektor

1. Pembezaan vektor

2. skalar dan fungsi titik vektor

3. makna geometri kecerunan

4. unit vektor normal dan terbitan berarah

5. tafsiran fizikal kecapahan dan Curl

6. Line penting

7. permukaan penting dan jumlah penting

8. Teorem Green

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