Will you please provide me the Mumbai University ME Mechanical Engineering Syllabus?

You are looking for the Mumbai University ME Mechanical Engineering Syllabus, I am providing here:

ME Mechanical Engineering

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.

4. Differential calculus
• Successive differentiation of nth derivatives of function such as (ax+b)m, (ax+b)-1, , sin(ax+b), cos(ax+b), log (ax+b), sin (bx+c), cos (bx+c)
• Leibniz theorem (without proof), Expansions of power series, indeterminate forms and L’ Hospital rule.

5. Partial differentiation
• Partial derivatives of first and higher order, total differentials, composite functions and implicit functions
• Euler’s theorem on homogeneous functions with two and three independent variables (with proof), deductions from Euler’s theorem.
• Errors and approximations, Maxima & minima of a function of two variables

II) Applied Science I

Section I– Applied Physics

1. Solid State Physics
• Crystal structure: structure of cubic crystals, special form in cubic crystals, diamond structure, Barium Titanate Miller indices, planes & directions, Legacy and critical radius ratio in tonic crystals.
• Formation of energy brands and classification of solids, conductor, semiconductor, insulator, Physics of semiconductor junctions, (bipolar) photo diode.

2. Sound Waves
• Audible, ultrasonic and infrasonic waves propogation, piezo-electric effect, principles of ultrasonic transducers and oscillations, production of ultrasonic waves, echo sounding, thickness measurement, cavitation and non-destructive testing and flow detection.

3. Electricity and Magnetism:
• Motion of charges, particles in electric and magnetic fields, magnetic and electro-static focusing system and its use in CRO, use of CRO for measuring amplitude of D.C. and A.C., voltage and phase difference between two A.C. sinusoidal voltages

4. Quantum Physics:
• Introduction to wave nature of particles, De Broglie waves

For the detailed syllabus, here is attachment:

Attached Files

Mumbai Univ ME Mechanical Engg Syllabus.doc (347.5 KB, 22 views)