Course Module
of
M.Tech Mathematics
[8 Week Course = 16 Hours Classes]
Course Starting from 8th January 2023
Branch: CSE/SE
Advance 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
To introduce effective mathematical tools for Linear Algebra.
Ø
To enable young technocrats to acquire mathematical knowledge to
understand
Transformation, Fourier,
DFT, and WFT 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.
Course Layout
Chapter-1 Linear Algebra
v
Vector Space
v
Vector Subspace
v
Linear Transformation
v
Hash Function
v
Hermite Polynomial
v
Heaviside Unit Step Function
v
Error Function
v MCQ Test
Chapter-2 Solution of Partial Differential
Equations
v
Method of Separation Variable
v
Wave Equation
v
One Dimensional Wave Equation
v MCQ Test
Chapter-3 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-4 Transforms
v
Fourier Transform
v
Fourier Sine and Cosine Transform
v
Discrete Fourier Transform
v
Wavelet Transform
v
Haar Transform
v MCQ Test
Chapter-5 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-6 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-7 Fuzzy
v
Fuzzy logic and Fuzzy Set
v
Operation of Fuzzy Set
v
Fuzzy Arithmetic
v
Fuzzy Relations
v
MATLAB Theory
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 on 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
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