Download Now [PDF] MA8151 ENGINEERING MATHEMATICS – I Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

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MA8151 ENGINEERING MATHEMATICS – I Lecture Notes Download

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MA8151 ENGINEERING MATHEMATICS – I Lecture Notes Download MA8151 ENGINEERING MATHEMATICS – I Lecture Notes Download
Department  Computer Science Engineering
Year 1st year
Semester 1st Semester
University Anna University
Regulation  R2017
Subject Code MA8151
Subject Name ENGINEERING MATHEMATICS – I
Download File MA8151 ENGINEERING MATHEMATICS – I Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

 

 

MA8151 ENGINEERING MATHEMATICS – I Syllabus

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

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