Engineering Mathematics - I

# Engineering Mathematics - I

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Simple notes for engineering mathematics-I.It almost cover important topics chapter wise 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