Course Module
of
M.Tech Mathematics
[8 Week Course = 16 Hours Classes]
Course Starting from 8th January 2023
Branch:
Subject : Advanced Computational Mathematics
By Dr. Sonendra Gupta | Author of 22 Books of Mathematics | Official AICTE Author as per New Education Policy 2020
Objective of Course: The objective of this course is to fulfill the needs of engineers to understand applications of Linear Algebra, Solution of Partial Differential Equation, Transform, Probability Distribution, Stochastic, Markov Process, and Fuzzy in order to acquire mathematical knowledge and to solving a wide range of practical problems appearing in different sections of science and engineering. More precisely, the objectives are:
Ø Understand the
Numerical PDE, Transformation, Fourier, DFT and WFT that are used in various
branches of engineering.
Ø
Discuss the probability distribution and statistics
knowledge for various engineering filed.
Ø To acquaint the student with mathematical tools
available in MATLAB, FUZZY and Reliability needed in various field of science
and engineering.
Course Layout
Chapter-1 Solution of Partial Differential Equations
v Method of Separation Variable
v Wave Equation
v One Dimensional Wave Equation
v MCQ Test
Chapter-2 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-3 Transforms
v Fourier Transform
v Fourier Sine and Cosine Transform
v Discrete Fourier Transform
v Wavelet Transform
v Haar Transform
v MCQ Test
Chapter-4 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 Sampling Distribution
v Theory of Hypotheses
v Recurrence Relation
v MCQ Test
Chapter-5 Operation Research
v Stochastic Process
v Markov Process
v Markov Chain
v Queuing System
v Queuing Model [M/M/1: ¥/¥/FCFS]
v MCQ Test
Chapter-6 Fuzzy
v Fuzzy logic and Fuzzy Set
v Operation of Fuzzy Set
v Fuzzy Arithmetic
v Fuzzy Relations
v MATLAB Theory
v MCQ Test
Chapter-7 Reliability theory
v Introduction of Reliability
v Failure rate and Hazar rate
v MTBF, MTTF and MTBR
v Decision theory and Goal Programming
v MCQ Test
How to Enroll in the Course…
2. All information fill correctly.
3. 1-Day Demo Class
4. Final Registration by Google Form [Link Given at Same time]
5. 2-Hours Weekly classes
Online Platform…
Google Meet [Download Google Meet from Google play store]
Follow the following steps:
Fees Structure
Overall Charges 6000/- in Indian Currency
1st Installment 3000/- at final Registration
2nd Installment 3000/- after 10 Days of Final Registration
Study Material
Full Study Material and some Recorded video Lectures are provided
Online Payment Mode [Ask from Sir/Madam]
1. Google Pay by QR Scan
2. Paytm by QR Scan
Online Assistant:
Contact on Mail: sonendrag@gmail.com
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 on 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 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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