MA8151 Engineering Mathematics I Syllabus PDF Regulation 2017 - Anna University R17 Syllabus PDF Download
MA8151 Syllabus - In this page, MA8151 Engineering Mathematics I (M1) Syllabus is available in pdf format, Hence Anna University 1st Semester Engineering Students can download MA8151 syllabus. Mupabnews.com also provide Anna University Regulation 2017 MA8151 (maths-1) Notes, Question Banks, Previous year Question Papers and Important Questions.
Anna University Syllabus Regulation 2017 - In Mupabnews.com, Students can also make use of Anna University Common syllabus for B.E/B.Tech/M.B.A/M.C.A students of all affiliated college in tamilnadu. Anna University R17 syllabus for all department like Aero, Automobile, EEE, ECE, EI, CSE, Civil, Mechanical for the academic year 2018-2019.
MA8151 Engineering Mathematics I Syllabus PDF - Click here
Anna University 1st Semester MA8151 Engineering Mathematics I Syllabus Regulation 2017
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.
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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