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Published by uLektz
Course Code | : | MA8151 |
Author | : | uLektz |
University | : | Anna University, Tamil Nadu |
Regulation | : | 2017 |
Categories | : | General Engineering |
Format | : | ![]() |
Type | : | eBook |
FREE
Buy NowDescription :Engineering Mathematics - I of MA8151 covers the latest syllabus prescribed by Anna University, Tamil Nadu for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.
Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.
1.1 Representation of functions - Limit of a function - Continuity
1.2 Derivatives
1.3 Differentiation rules - Maxima and Minima of functions of one variable
2.1 Partial differentiation
2.2 Homogeneous functions and Euler’s theorem
2.3 Total derivative - Change of variables
2.4 Jacobians - Partial differentiation of implicit functions
2.5 Taylor’s series for functions of two variables
2.6 Maxima and minima of functions of two variables - Lagrange’s method of undetermined multipliers
3.1 Definite and Indefinite integrals - Substitution rule
3.2 Techniques of Integration - Integration by parts - Trigonometric integrals - Trigonometric substitutions - Integration of rational functions by partial fraction - Integration of irrational functions - Improper integrals
4.1 Double integrals
4.2 Change of order of integration-Double integrals in polar coordinates
4.3 Area enclosed by plane curves
4.4 Triple integrals - Volume of solids
4.5 Change of variables in double and triple integrals
5.1 Higher order linear differential equations with constant coefficients - Method of variation of parameters
5.2 Homogeneous 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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