Engineering Mathematics -I

Features

• 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

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