[PDF] MA8151 Engineering Mathematics - I(M1) Notes, Question Banks, Previous Year Question Papers and Syllabus Regulation 2017 Anna University

Anna University MA8151 Engineering Mathematics - I(M1) 2017 Regulation Notes, Question Banks, Previous Year Question Papers and 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.

 

2017 Regulation

Notes:

MA8151 Engineering Mathematics - I Notes - Click here

Question Bank:

MA8151 Engineering Mathematics - I QBank - Click here

Previous Year Question Paper:

Jan 2018 - Click here

NovDec 2016 - Click here

AprilMay 2016 - Click here

NovDec 2014 - Click here

Jan 2014 - Click here

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