Course Module
of
Engineering Mathematics-III
[10-Days Crash Course]
Crash course Starting from 1st December 2022
[1 Day Demo Classes]
Engineering Mathematics - III
By Dr Sonendra Gupta | Author of 22 Books of Mathematics
Objective of Course: The objective of this
course is to fulfill the needs of engineers to understand applications of
Numerical Analysis, Transform Calculus, and Statistical techniques in order to acquire mathematical knowledge and to solve a wide range of practical problems appearing in different sections of science and
engineering. More precisely, the objectives are:
Ø To introduce effective mathematical
tools for the Numerical Solutions of algebraic and
Transcendental equations.
Ø To enable young technocrats to acquire
mathematical knowledge to understand
Laplace transformation, Inverse Laplace
transformation, and Fourier Transform which
are used in various branches of
engineering.
Ø To acquaint the student with
mathematical tools available in Statistics needed in
various fields of science and
engineering.
The course will cover
the following Main topics: Solution of Algebraic & Transcendental
Equations, Finite-difference operators, Interpolation for Equal interval,
Central difference interpolation, Interpolation for unequal interval, Numerical
differentiation, Numerical integration, Solution of Simultaneous Linear
Algebraic equations, Numerical solution of ordinary differential equations,
Numerical solution of Partial Differential equations, Laplace Transform,
Inverse Laplace Transform, Application of Laplace Transform to solve ODE,
Fourier Transform, Fourier Sine and Cosine Transform, Probability Distribution
function, Binomial’s Distribution, Poisson’s Distribution, Normal Distribution,
Exponential Distribution.
Course Layout
Chapter-1 Solution of Algebraic &
Transcendental Equation
v
Introduction
of Solution of Algebraic & Transcendental Equations.
v
Bisection
Method
v
Regula Falsi
Method
v
Secant Method
v
Successive
Iteration Method
v
Newton
Raphson Method
v MCQ Test
Chapter-2 Finite Difference Operator
v
Introduction
of Finite difference operator
v
Forward
difference operator
v
Backward
difference operator
v
Shifting
operator
v
Average
operator
v
Central
difference operator
v MCQ Test
Chapter-3 Interpolation of Equal interval
v
Introduction
of interpolation and Extrapolation
v
Missing Term
Technique
v
Newton
Forward Difference Formula
v
Newton
Backward Difference Formula
v MCQ Test
Chapter-4 Central Difference interpolation Formulas
v
Introduction
of Central Difference interpolation
v
Gauss’s
Forward Difference
v
Gauss’s
Backward Difference
v
Striling’s
Formula
v
Bessel’s
Formula
v MCQ Test
Chapter-5 Interpolation for unequal interval
v
Introduction
of interpolation for unequal interval
v
Divided
Difference operator
v
Newton
Divided difference
v
Lagrange’s
Formula
v MCQ Test
Chapter-6 Numerical Differentiation
v
Introduction of
Numerical Differentiation
v
Derivative of
Newton Forward
v
Derivative of
Newton Backward
v
Derivative of
Central Difference Formula
v
Derivative
Newton Divided/Lagrange’s Formula
v MCQ Test
Chapter-7 Numerical Integration
v
Introduction
of Numerical integration
v
Newton’s
Cotes Quadrature Formula
v
Trapezoidal
Formula
v
Simpson’s 1/3rd
and 3/8th Formula
v
Weddle’s
Formula
v MCQ Test
Chapter-8 Solution of Simultaneous Linear Algebraic
Equations
v
Introduction
of Direct and Iteration Method
v
Direct
Methods
Ø
Gauss’s
Elimination Method
Ø
Jordan
Elimination Method
Ø
Crout’s
Triangularisation Method
v
Iteration
Methods
Ø
Jacobi’s
iteration Method
Ø
Gauss’s
Seidel Iteration Method
Ø
Relaxation
Method
v MCQ Test
Chapter-9 Numerical Solution of Ordinary
Differential Equations
v
Introduction
of Numerical solution of ODE
v
Picard’s
successive Approximation
v
Taylor’s
v
Euler’s
Method
v
Euler’s
Modified Method
v
Runge’s Kutta
Fourth Order
v
Milne’s
Predictor & Corrector Method
v
Adam’s
Bashforth Method
v MCQ Test
Chapter-10 Numerical Solution of Partial Differential Equations
v
Concept of
Numerical Solution of PDE
v
Laplace
Equation
v
Jacobi’s and
Gauss’s Seidel Method
v
Poisson’s
Equation
v MCQ Test
Chapter-11 Laplace Transform
v
Concept of
Transform
v
Laplace
Transform
v
Inverse
Laplace Transform
v
Application
of Laplace Transform
v MCQ Test
Chapter-12 Fourier Transform
v
Concept of
Fourier Transform
v
Inverse
Fourier Transform
v
Fourier Sine
and Cosine Transform
v MCQ Test
Chapter-13 Probability Distribution
v
Random
Variables
v
Discrete
Random Variable and Continuous Random Variable
v
Binomial’s
Distribution
v
Poisson’s
Distribution
v
Normal
Distribution
v
Exponential
Distribution
v MCQ Test
How to Enroll in the Course…
1. Registered Yourself by Google Form https://forms.gle/uAEgkKNpPa2TyAsg9
2. All the information filled in correctly
3. 2-Days Demo Classes
4. Final Registration by Google Form [Link Given at Same Time]
5. 4-Hours Weekly classes
Online Platform…
Google Meet [Download
Google Meet from Google play store]
Follow the following
steps:
Fees Structure
Overall Charges 1000/- in Indian Currency
1st
Installment 2000/- at final
Registration
2nd
Installment 3000/- after 10
Days of Final Registration
Online Payment Mode [Ask from Sir/Madam]:
1. Google Pay by QR Scan
2. Paytm by QR Scan
Online Assistant:
Contact on Mail: sonendragupta@gmail.com
WhatsApp/Call: 9893455006
Dr. Sonendra Gupta
Dr. Sonendra Gupta, HOD (Department of Mathematics) in Oriental College of Technology, Bhopal
(MP). He received Ph.D., M.Phil(Maths), M.Sc.(Computer Science) and
M.Sc.(Maths) degree. He has 20 years of teaching experience.
He is equipped with an extraordinary caliber and appreciable
academic potency. He has always been a topper throughout his educational
career. He secured the Seventeenth position in Bhopal merit, in the intermediate
examination in 1995.
He ranked as a topper in the university in 1997 in B.Sc. II
year. He has authored 20 popular books of Mathematics titled “Advanced Mathematics”, “Engineering
Mathematics-I”, “Engineering Mathematics-II”, Engineering Mathematics-III, Differential
equation part-II, Vector Analysis and
Geometry, Business Mathematics, Abstract
Algebra, Numerical Analysis, etc.
for numerous universities, viz. RGPV Bhopal, U.P. Technical University,
Barkatullaha University, Bhopal, and Chhattisgarh University.
He has attended Mission 10x Wipro works-shop and published 8
International and 2 national research papers in various reputed journals
including workshops and conferences. He has also published RGPV Paper solutions,
of mathematics on its blog. He is a very successful and hardworking
teacher; no doubt, he is the first choice of the students. The welfare of students
is reflected in his works. He never compromises with the tough presentation of
the subject matter. He has high hopes to be fulfilled in the near future. As a helping hand for the mathematics community, the website is launched as https://sonendragupta.blogspot.com/ & http://www.sonendragupta.com/ and
“YouTube Channel: Dr. Sonendra Gupta”
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