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Engineering Mathematics I

Engineering Mathematics I
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Engineering Mathematics I

Engineering Mathematics I by Dr.Singaravelu from Meenakshi Agency, 

Common to all branches of B.E./B.Tech  (1st Semester)

Anna Universirty 2017 Regulations  - Latest Syllabus and Question Pattern

Course Code: MA8151

Description

       Regulations - 2017(MA8151)

  Chapter 1 : Differential Calculus  

        Representation of functions – Limit of a function – Continuity – Derivatives – Differentiation rules – Maxima and Minima of functions of one variable.

  Chapter 2 : 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.

  Chapter 3 : 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.

  Chapter 4 : 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.

  Chapter 5 : 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.

University
UniversityAnna University
Regulation2017
Departments
Common to AllI Semester
Course Code
Course CodeMA8151

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