All Materials regarding to B.tech R-20 in Electrical and Electronics Engineering 1st Year 2nd Semester with unit wise for Every Subjects are available.
👇👇Scroll Down for Important Questions and Topics Unit Wise 👇👇
| EEE 1-2 Mathematics 3 | ||
|---|---|---|
| Chapters / Units | Download Link | |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
Eee 1-2 Mathematics 3 important Topics and Questions
UNIT –I:
👉Vector calculus: (10 hrs)
Vector Differentiation: Gradient– Directional derivative – Divergence– Curl– Scalar Potential
Vector Integration: Line integral – Work done – Area– Surface and volume integrals – Vector
integral theorems: Greens, Stokes and Gauss Divergence theorems (without proof) and problems on
above theorems.
UNIT –II:
👉Laplace Transforms: (10 hrs)
Laplace transforms – Definition and Laplace transforms of some certain functions– Shifting
theorems – Transforms of derivatives and integrals – Unit step function –Dirac’s delta function
Periodic function – Inverse Laplace transforms– Convolution theorem (without proof).
Applications: Solving ordinary differential equations (initial value problems) using Laplace
transforms.
UNIT –III:
👉Fourier series and Fourier Transforms: (10 hrs)
Fourier Series: Introduction– Periodic functions – Fourier series of periodic function – Dirichlet’s
conditions – Even and odd functions –Change of interval– Half-range sine and cosine series.
Fourier Transforms: Fourier integral theorem (without proof) – Fourier sine and cosine integrals –
Sine and cosine transforms – Properties (article-22.5 in text book-1)– inverse transforms –
Convolution theorem (without proof) – Finite Fourier transforms.
UNIT –IV:
👉PDE of first order: (8 hrs)
Formation of partial differential equations by elimination of arbitrary constants and arbitrary
functions – Solutions of first order linear (Lagrange) equation and nonlinear (standard types)
equations.
UNIT – V:
👉Second order PDE and Applications: (10 hrs)
Second order PDE: Solutions of linear partial differential equations with constant coefficients –non-
homogeneous term of the type eaxby ,sin( ax by), cos(ax by), xm yn .
Applications of PDE: Method of separation of Variables– Solution of One-dimensional Wave, Heat
and two-dimensional Laplace equation.
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