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">ia sapu berasaskan penyelidikan direka untuk kejuruteraan dan sains gunaan pelajar untuk belajar matematik 1. ia hampir meliputi keseluruhan topik matematik yang diberikan di bawah

Bab 1 BERBEZA KALKULUS

1. Perluasan fungsi oleh itu Maclaurin dan teorem Taylor. Pembezaan separa

Teorem 2. Euler dan aplikasinya dalam anggaran dan kesilapan

3. maksimum dan minimum fungsi dua pembolehubah

4. Jejari kelengkungan

5. pusat kelengkungan

Bab 2 KALKULUS INTEGRAL

1. Integrals Definite seperti had pengeluaran sejumlah wang yang

2. Beta dan Fungsi Gamma

3. kamiran ganda dua

4. Kamiran Triple

5. Perubahan Perintah Integrasi

6. Kawasan, Isipadu dan Permukaan menggunakan double dan triple Integral

PERSAMAAN Bab 3 BERBEZA

Penyelesaian Persamaan Pembezaan Biasa perintah pertama dan ijazah pertama bagi persamaan pembezaan tepat

1. III persamaan pembezaan tepat

2. Persamaan Pembezaan Linear dengan pekali malar

Persamaan pengkamiran homogen 3. Cauchy

4. Persamaan pengkamiran Serentak

5. Kaedah Perubahan Parameter

Bab 4 MATRIKS

1. matriks pangkat

2. Penentu Matrix

3. Matrix songsang

4. Penyelesaian persamaan serentak dengan transformasi rendah

5. matriks transformasi

6. Ketekalan Sistem Serentak Linear Persamaan

7. Ketekalan Sistem Serentak Linear Persamaan

8. Nilai Eigen dan Vektor Eigen

9. Cayley-Hamilton Teorem dan Aplikasi untuk mencari songsang yang

Bab 5 ALGEBRA DAN TEORI GRAPH

1. Boolean Algebra

2. Prinsip Kedualan

3. Teorem Asas

4. Ungkapan-ungkapan Boolean dan Fungsi

5. Elementary Konsep Logik Fuzzy

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