Engineering Mathematics-III syllabus
MDM-222-ELE · Second Year Electrical Engineering, SPPU 2024 pattern. Every unit, the marks scheme, course outcomes and books, copied from the official syllabus PDF.
Unit-wise syllabus
Linear Differential Equations (LDE) and Applications
8 hoursLDE of nth order with constant coefficients, Complementary Function, Particular Integral, General method, Short methods, Method of variation of parameters, Cauchy’s and Legendre’s DE, Simultaneous DE. Modeling of Electrical circuits.
Laplace transforms
8 hoursLaplace Transform (LT): Definition of LT, Inverse LT, Properties & theorems, LT of some special functions viz. Periodic, Unit Step, Unit Impulse. Applications of LT for solving LDE.
Fourier and Z - transforms
8 hoursFourier Transform (FT): Complex exponential form of Fourier series, Fourier integral representation, Fourier Sine & Cosine integrals, Fourier transform, Fourier Sine & Cosine transforms, Fourier Sine & Cosine inverse transforms and applications. Z - Transform (ZT): Introduction, Definition, Standard properties, ZT of standard sequences and their inverses. Applications of Z – transform to solve difference equations.
Statistics and Probability
8 hoursMeasures of central tendency, Measures of dispersion, Coefficient of variation, Moments, Skewness and Kurtosis, Correlation and Regression, Reliability of Regression estimates. Probability, Probability density function, Probability distributions: Binomial, Poisson, Normal, Test of hypothesis: Chi- square test.
Vector Calculus
8 hoursVector differentiation, Gradient, Divergence and Curl, Directional derivative, Solenoidal and Irrotational fields, Vector identities. Line, Surface and Volume integrals, Green’s Lemma, Gauss’s Divergence theorem and Stoke’s theorem. Applications to problems in Electro-magnetic fields.
Marks and credits
| Head | Marks | Credit |
|---|---|---|
| CCE (continuous comprehensive evaluation) | 30 | 3 |
| End-semester exam | 70 |
Prerequisite: Differential and Integral calculus, Taylor series, Differential equations of first order and first degree, Fourier series, Vector algebra and Algebra of complex numbers..
Course outcomes
- CO1Solve higher order linear differential equation using appropriate techniques for modelling, analyzing of electrical circuits and control systems.
- CO2Apply Integral transforms such as Laplace transform, Fourier transform and Z-Transform to solve problems related to signal processing and control systems.
- CO3Apply Statistical methods like Correlation, Regression and Probability theory as applicable to analyze and interpret experimental data related to energy management, power systems, testing and quality control.
- CO4Perform Vector differentiation & integration, analyze the vector fields and apply to electro-magnetic fields & wave theory.
Books
Text books
- Higher Engineering Mathematics by B.V. Ramana (Tata McGraw-Hill).
- Higher Engineering Mathematics by B. S. Grewal (Khanna Publication, Delhi).
Reference books
- Advanced Engineering Mathematics, 10e, by Erwin Kreyszig (Wiley India).
- Advanced Engineering Mathematics, 2e, by M. D. Greenberg (Pearson Education).
- Advanced Engineering Mathematics, 7e, by Peter V. O'Neil (Cengage Learning).
- Differential Equations, 3e by S. L. Ross (Wiley India).
- Numerical Methods for Engineers,7e by S. C. Chapra and R. P. Canale (McGraw-Hill Education)
- Introduction to Probability and Statistics for Engineers and Scientists, 5e, by Sheldon M.Ross (Elsevier Academic Press). CO-PO Mapping CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 CO1 3 2 -- -- -- -- -- -- -- -- -- CO2 3 2 -- -- -- -- -- -- -- -- -- CO3 3 2 -- -- -- -- -- -- -- -- -- CO4 3 2 -- -- -- -- -- -- -- -- --
FAQ
How many units are in Engineering Mathematics-III?
Engineering Mathematics-III (MDM-222-ELE) has 5 units: Unit I Linear Differential Equations (LDE) and Applications (8 h); Unit II Laplace transforms (8 h); Unit III Fourier and Z - transforms (8 h); Unit IV Statistics and Probability (8 h); Unit V Vector Calculus (8 h).
What is the marks scheme for Engineering Mathematics-III?
The official Electrical Engineering 2024 pattern syllabus lists continuous comprehensive evaluation (CCE) for 30 marks and the end-semester exam for 70 marks, for 3 credits.
What should I know before Engineering Mathematics-III?
Prerequisite listed in the syllabus: Differential and Integral calculus, Taylor series, Differential equations of first order and first degree, Fourier series, Vector algebra and Algebra of complex numbers..