# [PDF] MA8151 Engineering Mathematics - I (M1) 2017 Regulation Syllabus, Notes, Question Banks/Important Questions and Previous years Question Papers for Anna University Students

Last updated on Sep 4, 2023

## Syllabus

MA8151 Engineering Mathematics - I

- UNIT I DIFFERENTIAL CALCULUS:Representation of functions - Limit of a function - Continuity - Derivatives - Differentiation rules - Maxima and Minima of functions of one variable.
- UNIT II FUNCTIONS OF SEVERAL VARIABLES:Partial differentiation – Homogeneous functions and Euler’s theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylor’s series for functions of two variables – Maxima and minima of functions of two variables – Lagrange’s method of undetermined multipliers.
- UNIT III INTEGRAL CALCULUS:Definite and Indefinite integrals - Substitution rule - Techniques of Integration - Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integration of rational functions by partial fraction, Integration of irrational functions - Improper integrals.
- UNIT IV MULTIPLE INTEGRALS:Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals.
- UNIT V DIFFERENTIAL EQUATIONS:Higher order linear differential equations with constant coefficients - Method of variation of parameters – Homogenous equation of Euler’s and Legendre’s type – System of simultaneous linear differential equations with constant coefficients - Method of undetermined coefficients.