FestaDydx

Even while I'm away, my online Mathematics classes continue.

That's the beauty of working remotely; my job doesn't have to pause just because I'm not physically present in my home country.

I'm Festa Ndubuogaranya, a passionate and dedicated Mathematics Teacher with over six years of experience in inspiring students to unlock the beauty and logic of mathematics.

With a Master's Degree in Applied Mathematics from the University of Lagos and a Bachelor's degree in Mathematics Education from Nnamdi Azikiwe University, I have honed my skills and expertise to become a versatile educator, both in traditional classroom settings and in the virtual world.

As an online teacher, I leverage modern technology to connect with students globally. Using platforms like Zoom, Microsoft Teams and Google Meet, I create engaging and interactive virtual classrooms, providing a personalized learning experience that caters to the unique needs of each student. I firmly believe that accessibility to quality education should know no boundaries, and I am committed to empowering students from all corners of the world with the power of mathematics.

Throughout my career, I have had the privilege of witnessing numerous success stories. From guiding struggling students to achieve remarkable improvements in their grades to witnessing others go on to pursue higher education and careers in STEM fields, these achievements continue to reinforce my commitment to education and the impact it can make on young minds.

If you're seeking an enthusiastic educator who can bring out the best in students, let's connect!

You can reach me via email at [email protected] or via WhatsApp/call @+234-810-606-4700

Hey Fams!
❤❤❤

Happy International Mathematics Day (Pi Day) to all my math lovers out there!

It’s been a while since I last posted about my online teaching, and I know some of you might have been wondering, “Where’s our favorite math teacher at? Did she stop teaching?”

Well, guess what? I’m still in the game!

Life’s been a little busy, but my passion for teaching and sharing knowledge with all of you hasn’t faded one bit.

To my amazing students and friends, thank you for sticking around and for all the love and support. Let’s keep this learning journey going strong!

Happy Pi(π) Day

Master of Science in APPLIED MATHEMATICS

Attaining this milestone is a significant achievement for my career aspirations.

I remember when I was still contemplating on the course to pursue for my Masters Program.

Initially, Mathematics Education seemed like a natural choice due to my undergraduate background. However, I felt it didn't align perfectly with my desire to explore Mathematics to its fullest extent.

I made the decision to transition to Mathematics with a concentration on Applied Mathematics, as it closely aligns with my goals and aspirations.

To be honest, I was scared at first because, coming from Mathematics Education, I had missed many important courses not included in the curriculum for Education students.

But the desire to pursue Applied Mathematics outweighed my fears.
I took the step and eventually secured admission. Starting lectures, I realized I faced a significant challenge as many courses revisited topics I hadn't covered in my undergraduate years. I struggled in some courses and feared failure.

At that moment, I knew I had to work diligently. I refused to settle for less or use my limitations as an excuse for anything less than graduation success.

I studied as if my life depended on it—because it did! In addition to the rigorous teachings of my hardworking and dedicated lecturers, I sought further knowledge and dedication a great fraction of my time to learn from dedicated math tutors on YouTube (these amazing tutors became my online instructors: 2 Factor Authentication 😉). I purchased and downloaded textbooks to self-study the courses I missed during my undergraduate program, ensuring I was fully equipped to handle advanced coursework.

Initially, my goal was simply to pass every course and fail none, but within weeks, it escalated to aiming for high grades and strived for straight A's—a goal I almost achieved, save for one B grade in a course! GOALs, right? 🤣🤣🤣

Through dedication and perseverance, I achieved magnificent and fulfilling results.

I am thankful to God for the strength, unending favours and grace to enable me complete this journey triumphantly.

To CROWN it all

I was honored to shake hands with the Vice Chancellor of University of Lagos as I was recognized and awarded a prize for:

First Occupier of Pastor Enoch Adeboye Professorial Chair in Mathematics, UNILAG / Prof. Samuel Segun Okoya Academic Prize for BEST AVERAGE SCORE IN DIFFERENTIAL EQUATIONS I & II (MAT823 & MAT814)

Congratulations to me 🎉🎉

Ndubuogaranya Festa Chiwendu, MSc.

GOD DID IT!!!

MSc. in Applied Mathematics with DISTINCTION

4.89/5.00

• Overall Best Graduating Student for both PURE and APPLIED Option in the Department of Mathematics, 2023/2024 Session

• Best Graduating student in the Department of Mathematics (Applied Option), 2023/2024 Session.

Congratulations to me🎉🎉

Festa Chiwendu Ndubuogaranya, MSc.
I have MASTERED it!!!

Topic: FOURIER TRANSFORM
Subtopic: Application of Fourier Transforms to PDEs

The Fourier Transform converts a function f(t) (time domain signal) to F(w) (frequency domain signal).
The inverse Fourier Transforms converts it back from the frequency domain to the time domain.

In PDEs, the Fourier Transform is applied to solve complex PDEs by converting them into ODEs. We solve the ODEs using methods like (separation of variables, integrating factor, characteristics and particular equation, etc.) making use of the boundary condition and initial conditions. We take the inverse Fourier Transforms of the solution gotten from solving the ODEs so as to get the solution of the PDEs

NUMERICAL METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Ordinary Differential Equations play a very important role in both academic and real life phenomena. This equation describes how a rate of change in one variable is related to other variables in fields such as physics, biology, engineering and economics

While analytical solutions exist for some ODEs, many ODEs require numerical solutions due to their complexity or non-existence of analytical solutions.
Numerical methods for solving ODEs can be broadly classified into two categories:

(1) Direct Methods, which involve a single computation at each time step; and
(2) Iterative Methods, which use multiple computations at each time step.

Now, let's focus on the iterative methods. The key concept behind iterative methods involves starting with the given initial conditions of the ODE to find an approximate solution at the first time step, then use the approximate solution at the previous time step as an input to the next time step, allowing the solution to converge toward the exact solution. This recursive process continues until the desired level of accuracy is achieved or a fixed number of iterations is reached.

Iterative methods can be either explicit or implicit. Explicit methods use only the current value of the dependent variable and its derivative to determine the next value, while implicit methods use the current and previous values of the dependent variable.

These iterative methods are the Euler's method, Runge-Kutta Methods, Milne's Method, Adams-Bashforth-Moulton Methods etc.

Among the iterative methods, the Runge-Kutta family of methods is one of the most popular due to its higher accuracy and stability. The Runge-Kutta methods are based on Taylor's series approximation, which uses intermediate calculated values of the ODE's derivatives to compute a more accurate approximation of the solution.
The higher the order of a Runge-Kutta method, the higher its accuracy.

In the images below, we did the computation of the Runge-Kutta 2nd Order Method (i.e Heun's Method and Midpoint Method)

Systems of Linear Equations Involving 3 Variables: CRAMER'S RULE | 3×3 Matrices

Watch the Video: https://youtu.be/JkgFvMtX37k

This video tutorial explains how to solve systems of linear equations using CRAMER'S RULE.

The Cramer's Rule is a matrix method used to solve systems of linear equations. In today's video, we will solve linear equations involving three unknown variables.

Watch the Video: https://youtu.be/JkgFvMtX37k

If you find the video helpful, don't forget to like, comment, share it with your friends who may benefit from learning how to solve systems of linear equations using Cramer's rule.

Previous Video (Determinant of 2×2 Matrices and 3×3 Matrices): https://youtu.be/2BY3i_31seE

Next Video ( Systems of Linear Equations Involving 2 Variables: CRAMER'S RULE | 2×2 Matrices): https://youtu.be/wmnKN1FVwIs

Subscribe:
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Systems of Linear Equations Involving 3 Variables: CRAMER'S RULE | 3×3 Matrices This video tutorial explains how to solve systems of linear equations using CRAMER'S RULE.The Cramer's Rule is a matrix method used to solve systems of linea...

📌 PROCESS!!! 📌

It's been a while since I uploaded a new video on my YouTube channel, but I'm excited to announce that I'll be posting a new one this evening! 🎉

Topic: Systems of Linear Equations Involving 3 Variables: Cramer's Rule

Stay tuned for the new video, and don't forget to like, share, and subscribe to my channel!

YouTube Channel: https://youtube.com/

I was teaching my Year 8 student today

I drew a diagram on the screen and we needed to find "alpha and theta"

Me: Let's find alpha and theta in the given diagram

Year 8 student: Alpha and Omega?
The Lord and personal saviour?
You mean Jesus Christ!!!
(Say this in British accent 🤣🤣)

I had a very good laugh because I didn't see that coming...
🤣🤣🤣🤣🤣

Oya oooo, how many of us can find "alpha and omega, sorry I mean, alpha and theta"
🤣🤣

I just finished my first semester exam this Saturday.

😊😊😊😊

Feeling relieved now that I can finally come online and catch up on what's happening. Been a while since I last posted 🤣

One thing I really enjoyed during our exam prep was having experts in different courses among us. We decided to organize tutorials to help each other out in various areas.

This way, everyone could master the content of each course before the exam.

I was happy to help out when it was my turn, but as someone who prefers studying at home rather than in school or anywhere else. I brought them into my online zone 😁, being the online teacher that I am.

Here's an excerpt from our class.
On this day, we learnt "Adomian Decomposition Method for Solving Linear and Non-Linear ODEs," a course content on Numerical Methods.