JNTUK R20 B Tech CSE 2-1 Mathematics–III Material/ Notes PDF Download

JNTUK R20 B Tech CSE 2-1 Mathematics–III Material/ Notes PDF Download: Discover the JNTUK R20 B Tech CSE 2-1 Mathematics–III Material for a clear understanding of partial differential equations (PDEs). This resource is designed for JNTUK R20 B Tech students, offering insights into fundamental concepts and techniques at a high school level. The goal is to help learners transition smoothly from basic knowledge to more advanced applications, preparing them for real-world scenarios.

Access the JNTUK R20 B Tech CSE 2-1 Mathematics–III Notes to enhance your mathematical understanding. You can easily download the JNTUK R20 B Tech CSE M3 Material in PDF format for convenient learning. Dive into the world of mathematics and equip yourself with the skills needed to solve practical problems.

Table of Contents

Join Telegram
Join Whatsapp Groups

Toggle

JNTUK R20 B Tech CSE 2-1 Mathematics–III Material – Units

Unit 1 Syllabus PDF Download | JNTUK R20 B Tech Mathematics–III Material

Vector calculus

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).

Unit 2 Syllabus PDF Download | JNTUK R20 B Tech Mathematics–III Material

Laplace Transforms: Laplace transforms of standard functions – Shifting theorems – Transforms of derivatives and integrals – Unit step function – Dirac’s delta function – Inverse Laplace transforms – Convolution theorem (without proof).

Applications: Solving ordinary differential equations (initial value problems) using Laplace transforms.

Unit 3 Syllabus PDF Download | JNTUK R20 B Tech Mathematics–III Material

Fourier series and Fourier Transforms

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 transform – Properties – inverse transforms – Finite Fourier transforms.

Unit 4 Syllabus PDF Download | JNTUK R20 B Tech Mathematics–III Material

PDE of the 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.

Unit 5 Syllabus PDF Download | JNTUK R20 B Tech Mathematics–III Material

Second order PDE and Applications: Second order PDE: Solutions of linear partial differential equations with constant coefficients – RHS term of the type ax by m n e, sin( axby), cos(ax by), x y.

Applications of PDE: Method of separation of Variables – Solution of dimensional Wave, Heat, and two-dimensional Laplace equation.

JNTUK R20 B Tech Mathematics–III Material – Outcomes

• Gradient: Understand how things change at different points in space.
• Curl and Divergence: Grasp rotation and spreading effects in a field.
• Work, Circulation, and Flux: Calculate effort against a field, swirling patterns, and field flow through a surface.
• Laplace Transform: Use it to solve problems involving changing quantities.
• Fourier Series: Break down repeating signals into simpler components.
• Fourier Transform: Transform between different types of signals using integral formulas.
• Partial Differential Equations (PDEs): Solve equations describing changes in multiple dimensions, like predicting temperature changes over time.

For more details about JNTUK R20 B Tech CSE 2-1 Mathematics–III Material and other materials follow our official website Freshersnow.com.