Engineering Mathematics III Pune University

I want the syllabus of Engineering Mathematics – III of Mechanical Engineering II year of Pune University so can you provide me?

[Kiran Chandar]

As you are looking for the syllabus of Engineering Mathematics – III of Mechanical Engineering II year of Pune University so here I am providing you.

Engineering Mathematics – III Syllabus

Engineering Mathematics – III

Teaching Scheme: Examination Scheme:

Lectures: 4 hrs./week Paper: 100 marks

Duration: 3 hrs.

Section I

Unit I: Linear Differential Equations (LDE) of second and higher order (09 Hours)
LDE with constant coefficients, Homogeneous Equations, Cauchy’s and Legendre’s DE. Simultaneous
& Symmetric Simultaneous DE, Mass spring mechanical systems, Damped and Undamped systems.

Unit II: Transforms (09 Hours)
a) Laplace Transform (LT): LT of standard functions, properties and theorems, Inverse LT,
Application of LT to solve LDE.
b) Fourier Transform (FT): Fourier Integral theorem, Fourier transform Fourier Sine & Cosine
transform, Inverse
Fourier Transform.

Unit III: Partial Differential Equations (PDE) (09Hours)
Basic concepts, modeling: Vibrating String, Wave equation. Method of separation of variables, Use of
Fourier series, Heat equation: one and two dimensional heat flow equations, Solution by Fourier
Transforms, modeling Membrane two dimensional wave equation.

Section II

Unit IV: Statistics and Probability (09 Hours)
Measure of central tendency, dispersion, Correlation and Regression, Probability, Probability
distributions, Binomial, Poisson and Normal distributions, Population and Sample, Sampling
Distributions, t-distribution Chi Square distribution.

Unit V: Vector Differential Calculus (09 Hours)
Physical Interpretation of Vector Differentiation, Vector Differential Operator, Gradient, Divergence
and Curl, Directional Derivative, Solenoidal, Irrotational and Conservative Fields, Scalar Potential,
Vector Identities.

Unit VI: Vector Integral Calculus (09Hours)
Line, Surface and Volume integrals, Work-done, Green’s Lemma, Gauss’s Divergence Theorem,
Stoke’s Theorem.

Text Books:

1. Advanced Engineering Mathematics by Peter V. O'Neil (Cengage Learning).
2. Advanced Engineering Mathematics by Erwin Kreyszig (Wiley Eastern Ltd.).
Reference Books:
1. Engineering Mathematics by B.V. Raman (Tata McGraw-Hill).
2. Advanced Engineering Mathematics, 2e, by M. D. Greenberg (Pearson Education).
3. Advanced Engineering Mathematics, Wylie C.R. & Barrett L.C. (McGraw-Hill, Inc.)
4. Higher Engineering Mathematics by B. S. Grewal (Khanna Publication, Delhi).
5. Applied Mathematics (Volumes I and II) by P. N. Wartikar & J. N. Wartikar
(Pune Vidyarthi Griha Prakashan, Pune).
6. Advanced Engineering Mathematics with MATLAB, 2e, by Thomas L. Harman, James Dabney
and Norman Richert (Brooks/Cole, Thomson Learning).

Contact-

Savitribai Phule Pune University
Ganeshkhind
Pune, Maharashtra 411007