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