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Old February 2nd, 2013, 11:18 AM
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Join Date: Nov 2011
Default Re: lll rd Semester Thermodynamics Syllabus of Mech. Engg. Mumbai University

You want IIIrd Semester Thermodynamics Syllabus of Mech. Engg. Mumbai University so I am giving you its all semester syllabus which are following:

I) Applied Mathematics I

1. Complex numbers
Idea of Argand diagram (Problems based on Geometry are not expected) Cartesian, Polar and Exponential form of complex number.
De’Moivre’s theorem (without proof), Power and roots of exponential and trigonometric functions
Hyperbolic and logarithmic functions, inverse trigonometric functions.
Separation of real and imaginary parts of all types of functions

2. Vector algebra and vector calculus
Vector triple product (proof is not expected), product of 4 vectors.
Differentiation of a vector functions of a single scalar variable. Proofs of theorems on derivatives of sum and product are not expected.
Curves in space, Serret Frenet formulae (without proof), curvature, torsion, osculating plane, normal plane and rectifying plane.

3. Mean value theorems
Rolles theorem, Lagrange’s and Cauchy’s mean value theorem (Proofs are not expected but
geometrical interpretations are expected)
Taylor’s and Maclaurin’s theorem (without proof), Taylor’s and Maclaurin’s series.

For complete syllabus you are free to download pdf file which I am uploading for you.
Attached Files Available for Download
File Type: doc Mumbai University MTech Mech Engg syllabus.doc (347.5 KB, 715 views)
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