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Hello, This is

Manoj Solanki

MSc Student

Python | CFDM | FDM | ML | DA 

A researcher exploring Applied Mathematics, Numerical Methods, and Computational Science, specializing in solving ODEs and PDEs using Finite Difference Methods (FDM & CFDM). I leverage Python and MATLAB to develop efficient numerical solutions, bridging traditional analysis with modern computational techniques. With experience in teaching and a passion for scientific computing, I also run a YouTube channel sharing insights and practical applications in numerical methods.

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About Me

M.Sc. in Mathematics at National Insitiute of Technology Kurukshetra. My research interests include:

My specializing in Applied Mathematics, Numerical Methods, and their implementation using Python and MATLAB. My expertise includes solving Differential Equations (ODEs and PDEs) using Finite Difference Methods (FDM and CFDM) and Applied Numerical Analysis. With experience teaching mathematics in various coaching institutes, I am passionate about making complex mathematical concepts accessible. I also run a YouTube channel dedicated to higher mathematics and numerical methods, where I share insights and practical implementations.

Functional Expertise

Recent Highlights

Assistant Professor Offer 

Campus placement at Mathematics Dept. of Dayananda Sagar University (DSU), Bangalore From NIT Kurukshetra

Book Published 

My book, Numerical Solutions of Differential Equations with Programs in Python, has been officially published ISBN issued by the Government of India in January.

Education

Master of Science in Mathematics 

2023 - 2025

  • Compact Finite Difference Method to solve Differential Equations. [ Read More ]

  • Solution of Non Linear Partial Differential Equations. [ Read More ]

  • Comparison of Solution of Parabolic PDEs. [ Read More ]

Bachelor of Science (PCM)

2020 - 2023

Jodhpur, Rajasthan (India) 

  • Pure Matheamtics : Linear Algebra, Abstract Algebra, Real and Complex Analysis, Number Theory, Discrete Mathematics, Optimization Technique, etc. 

  • Applied Mathematics: Differental Equations(ODEs and PDEs), Fluid Dynamics, Numerical Analysis,,etc.

  • Advanced Computing : C-Programing for Numerical Methods. 

Higher Secondary (PCM) 

2018 - 2020

Jodhpur, Rajasthan (India) 

Rajasthan Board of School Education

Experience

1500+ Video Lectures 

  • Mathematics for M.Sc. / M.A.

  • Mathematics for B.Sc. / B.A. / B.Tech.

  • Physics for B.Sc. / B.Tech.

  • Programming – Python, C Tutorials

  • IIT JAM and CUET-PG Tutorials

  • IIT JAM PYQ Solutions and Courses Etc. 

Publications

Numerical Solutions of Differential Equations with Programs in Python

Manoj Solanki | Under the guidance of Prof. ASV Ravi Kanth (Mathematics Dept. NIT Kurukshetra.)

ISBN - 978-93-341-9831-7    

Jan 2025

General Maths Book - for Secondary School Level

Manoj Solanki, Karan Kachhawaha 

ASIN - B0B85N2VZS  

June 2021

Projects

Research Project 

A collection of research projects from my MSc work, focusing on solving differential equations using FDM and CFDM, nonlinear differential equations with Newton’s method, and the Black-Scholes PDE.

Academic Projects

A collection of additional projects completed during my MSc coursework, covering various topics in python and its Package.

Certifications

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Data Analytics with Python

Course

NPTEL - IIT Roorkee

Issued: Soon

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Dynamical System and Control

Course

NPTEL - IIT Roorkee

Issued: Soon

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Applied Numerical Methods

Course

NPTEL - IIT Kanpur

Issed : Nov. Issued

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Number Theory Course

NPTEL - IIT Bombey

Issued : Nov. 2024

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AI and ML : Geo-Data Analysis

ISRO and IIRS

Issued: 2024

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ML Techniques and Applications

NIT Kurukshetra

Issued: Nov. 2023

Workshops

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Diffusion Driven Instability - Non-Linear PDE  |  Prof Ch. Srinivasa Rao (IIT Madras),

Participated in lecture conducted by Anant The Mathematical Society, NIT Kurukshetra

March 2025

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Vedic Mathematics - Vedic Intelligence  |  Dr. Rakesh Bhatia

Participated in lecture conducted by Anant The Mathematical Society, NIT Kurukshetra

March 2025

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Differential Equations and Its Numerical Solutions

Participated in a Five-Day Workshop conducted by IIT Roorkee.

Feb 2025

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Harmonic Mappings, Partial Differential Equations, and Applications (HMPDEA 2025),

Participated in a Three-Day Workshop conducted by IIT Bhilai.

Jan 2025

Achievements

March 2025

Awarded as Co-Convener of Techspardha’25 for contribution as in Tech Fest by Techspardha Team.

April 2023

Secured AIR 11 in MSc Entrance Test conducted by South Asian University Delhi.

April 2023

Qualified CUET PG (2023) Common University Entrance Test for Postgraduate Programs examination in mathematics.

Feb 2023

Qualified IIT JAM (2023) M.Sc. Entrance examination in mathematics.

MS MATHS

You-Tube Channel & Website

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It is my platform tailored for higher mathematics students . Access a treasure trove of resources featuring video lectures on key math and physics questions and downloadable PDF notes.

​​Embark on a comprehensive academic journey with our full courses covering B.Sc. Mathematics, B.A. Mathematics, and B.Sc. Agriculture (Math).

For those with higher aspirations, we've covered you with IIT JAM and various M.Sc. entrance exam materials-all delivered through free YouTube Video Lectures grouped into convenient playlists.​Stay engaged by joining our site.

 

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