JNTUK R20 B Tech EEE 1-2 Mathematics – III Material/ Notes PDF Download: Discovering JNTUK R20 B Tech 1-2 Mathematics – III Material is now easier than ever! Whether you’re an EEE student or seeking comprehensive notes for Mathematics – III, we’ve got you covered. Dive into our meticulously curated Mathematics – III study material, specially designed to introduce you to the intricacies of partial differential equations.
JNTUK R20 B Tech 1-2 Mathematics – III Material – Units
No. Of Units | Name of the Unit |
Unit – 1 | Vector calculus |
Unit – 2 | Laplace Transforms |
Unit – 3 | Fourier series and Fourier Transforms |
Unit – 4 | PDE of first order |
Unit – 5 | Second-order PDE and Applications |
Unit 1 Syllabus PDF Download | JNTUK R20 B Tech 1-2 Mathematics – III Material
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.
JNTUK R20 B Tech Mathematics – III Material – PDF Download | |
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Unit 2 Syllabus PDF Download | JNTUK R20 B Tech 1-2 Mathematics – III Material
Laplace transforms – Definition and Laplace transforms of some certain functions– Shifting theorems – Transforms of derivatives and integrals – Unit step function –Dirac’s delta functionPeriodic function – Inverse Laplace transforms– Convolution theorem (without proof). Applications: Solving ordinary differential equations (initial value problems) using Laplace transforms.
JNTUK R20 B Tech Mathematics – III Material – PDF Download | |
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Unit 3 Syllabus PDF Download | JNTUK R20 B Tech 1-2 Mathematics – III Material
Fourier Series: Introduction– Periodic functions – Fourier series of periodic functions – 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 transform – Properties (article-22.5 in text book-1)– inverse transforms – Convolution theorem (without proof) – Finite Fourier transforms.
JNTUK R20 B Tech Mathematics – III Material – PDF Download | |
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Unit 4 Syllabus PDF Download | JNTUK R20 B Tech 1-2 Mathematics – III Material
PDE of first order: 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.
JNTUK R20 B Tech Mathematics – III Material – PDF Download | |
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Unit 5 Syllabus PDF Download | JNTUK R20 B Tech 1-2 Mathematics – III Material
Second order PDE: Solutions of linear partial differential equations with constant coefficients –Nonhomogeneous term of the type ax by m n e, sin( ax by), cos(ax by), x y. Applications of PDE: Method of separation of Variables– Solution of One dimensional Wave, Heat, and two-dimensional Laplace equation.
JNTUK R20 B Tech Mathematics – III Material – PDF Download | |
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JNTUK R20 B Tech 1-2 Mathematics – III Notes – Outcomes
- Introduce techniques in partial differential equations, providing a solid foundation for further exploration.
- Equip learners with fundamental concepts and techniques, bridging the gap between plus two level and advanced applications.
- Understand the physical significance of operators like gradient, curl, and divergence (L5).
- Calculate work done against a field, circulation, and flux using vector calculus methods (L5).
- Apply Laplace transform techniques to solve differential equations efficiently (L3).
Compute Fourier series for periodic signals (L3). - Apply integral expressions for forward and inverse Fourier transform to analyze various non-periodic waveforms (L3).
- Identify solution methods for partial differential equations modeling physical processes (L3).