Engineering Mathematics - I

it is swipe based designed for engineering & applied sciences student to learn mathematics 1. it almost cover entire topics for mathematics which are given below

Chapter 1 DIFFERENTIAL CALCULUS

1. Expansion of functions by Maclaurin's and Taylor's theorem. Partial differentiation

2. Euler's theorem and its application in approximation and errors

3. Maxima and Minima of function of two variables

4. Radius of curvature

5. centre of curvature

Chapter 2 INTEGRAL CALCULUS

1. Definite Integrals as a limit of a sum

2. Beta and Gamma Functions

3. double integrals

4. Triple Integrals

5. Change of Order of Integration

6. Area,Volume and Surfaces using double and triple Integral

Chapter 3 DIFFERENTIAL EQUATIONS

Solution of Ordinary Differential Equation of first order and first degree for Exact differential Equations

1. III Exact differential equations

2. Linear Differential Equations with Constant Coefficients

3. Cauchy's Homogeneous differential Equation

4. Simultaneous differential Equations

5. Method of Variation of Parameters

Chapter 4 MATRICES

1. matrices rank

2. Matrix Determinants

3. Matrix Inverse

4. Solution of Simultaneous equation by elementary transformation

5. matrices transformation

6. Consistency of System of Simultaneous Linear Equation

7. Consistency of System of Simultaneous Linear Equation

8. Eigen Values and Eigen Vectors

9. Cayley-Hamilton Theorem and its Application to find the inverse

Chapter 5 ALGEBRA AND GRAPH THEORY

1. Boolean Algebra

2. Principle of Duality

3. Basic Theorems

4. Boolean Expressions and Functions

5. Elementary Concept of Fuzzy Logic

6. Graph thoery

</div> <div jsname="WJz9Hc" style="display:none">itu menggesek berbasis dirancang untuk engineering & ilmu terapan siswa belajar matematika 1. hampir menutupi seluruh topik matematika yang diberikan di bawah ini

Bab 1 DIFERENSIAL KALKULUS

1. Perluasan fungsi dengan Maclaurin dan Teorema Taylor. Diferensiasi parsial

2. Euler Teorema dan penerapannya dalam pendekatan dan kesalahan

3. Maxima dan Minima fungsi dari dua variabel

4. Radius kelengkungan

5. pusat kelengkungan

Bab 2 KALKULUS INTEGRAL

1. Integral Tertentu sebagai batas penjumlahan

2. Beta dan Fungsi Gamma

3. integral ganda

4. Integral Tiga

5. Perubahan Orde Integrasi

6. Area, Volume dan Permukaan menggunakan dua dan tiga Integral

PERSAMAAN DIFERENSIAL bab 3

Solusi Persamaan Diferensial Biasa dari urutan pertama dan tingkat pertama untuk Exact Persamaan diferensial

1. III persamaan diferensial Tepat

2. Linear Persamaan Diferensial dengan Koefisien Konstan

Homogen Persamaan diferensial 3. Cauchy

4. Persamaan diferensial simultan

5. Metode Variasi Parameter

Bab 4 MATRIKS

1. matriks peringkat

2. Penentu Matrix

3. Matrix Inverse

4. Solusi persamaan simultan dengan transformasi dasar

Transformasi 5. matriks

6. Konsistensi Sistem Persamaan Linier Simultan

7. Konsistensi Sistem Persamaan Linier Simultan

8. Nilai Eigen dan Vektor Eigen

9. Cayley-Hamilton Teorema dan Aplikasi untuk menemukan invers

Bab 5 ALJABAR DAN GRAFIK TEORI

1. Boolean Aljabar

2. Prinsip Dualitas

3. Dasar Teorema

4. Ekspresi Boolean dan Fungsi

5. Dasar Konsep Fuzzy Logic

6. Grafik thoery</div> <div class="show-more-end">