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# MA8151 ENGINEERING MATHEMATICS – I Lecture Notes Download

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Department | Civil 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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## MA8151 ENGINEERING MATHEMATICS – I Lecture Notes Collection

MA8151 ENGINEERING MATHEMATICS – I Notes ( UNIT 1 – UNIT 5) – Download

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## MA8151 ENGINEERING MATHEMATICS – I 2 Mark Question With Answers

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## MA8151 ENGINEERING MATHEMATICS – I 16 Mark Question With Answers

MA8151 ENGINEERING MATHEMATICS – I 16 Mark Question With Answers – Download