Basic Mathematics

Mathematics wise, knowing the multiplication table, place value of numbers, factors, prime numbers etc is basic.

Mathematics is so simple. Maybe your teacher didn't tell you that.

'Will you be able to make my child good in Mathematics', asked the worried mother who I guessed was in her late twenties.

Her tone spoke volumes. She was so 'sober' to put it in a word. We have hired three persons before now to handle her in Mathematics but they always complain of her not being focused. They all left when they grew tired of her though they made a fortune in the process.

Money for teaching her daughter was not a problem as seen by the many luxuries that laid around the compound. If the surrounding were this golden, how much more the interior. People get money o👏

I asked that the daughter be called for assessment in the presence of the mother and the CCTV cameras that were littered in every nook and cranny of this palace.

After three steps of prepping, I got my answers.

We started classes for the first week, which I had privily termed "week of discovery" I really needed to know what was wrong with this intelligent girl.

After 3days of not really teaching Mathematics but asking questions and playing to her gallery, I got the root cause of her seeming poor performance in Mathematics.

Distractions (at home and especially in school).

There were many sides to it sha. At the end, we were able to redirect her focus and her performance in Mathematics blessed the mum's heart.

I was able to in three months give her the basic rudiments she needed to excel in Mathematics. I ended the project as was led. Other projects came calling.

What a loving mother she had, Dad was also very supportive though he was most times at work. I only saw him three in those three months. Nsuto utom😀. The family blessed me in no small way (you should understand what I mean)

Hey!!!
I can help your child do better in Basic Mathematics. 🤝

I am Udeme,

One of Us🌲

Here are some real-life applications of these mathematical concepts:

1. Set Theory

Database Management: SQL queries use set operations like union, intersection, and difference.

Search Engines: Google uses set theory to filter and rank search results.

Venn Diagrams: Used in surveys and statistics to analyze overlapping categories.

2. Topology

GPS and Google Maps: Uses topology to determine the shortest paths between locations.

Neuroscience: Brain connectivity studies use topological data analysis.

Robotics: Topology helps in motion planning for robots and self-driving cars.

3. Linear Algebra

Computer Graphics: Used in 3D transformations, animations, and video game design.

Machine Learning: Algorithms like Principal Component Analysis (PCA) rely on linear algebra.

Engineering: Circuit analysis, structural analysis, and control systems.

4. Tensors

Artificial Intelligence: TensorFlow, a deep learning framework, is named after tensors.

Physics: Used in general relativity to describe spacetime curvature.

Medical Imaging: MRI and CT scans rely on tensors for image processing.

5. Logarithms

Earthquakes: Richter scale measures earthquake magnitude using logarithms.

Finance: Compound interest and stock market growth models use logarithmic functions.

Music: Frequencies of musical notes follow a logarithmic scale.

6. Matrices

Cryptography: Used in encoding and decoding messages (e.g., Hill Cipher).

Google PageRank: Ranks web pages using matrix operations.

Image Processing: Matrices represent pixel values for filtering and transformations.

7. Sequences and Series

Finance: Loan payments, annuities, and investments follow arithmetic and geometric series.

Computer Algorithms: Sorting and searching algorithms often rely on sequences.

Physics: Infinite series help in approximating solutions to physical equations.

8. Mathematical Induction

Algorithm Proofs: Used to prove correctness of recursive algorithms.

Network Theory: Ensures stability of network structures.

Computer Science: Helps in proving properties of programming languages.

9. Binomial Theorem

Probability and Statistics: Expansions help in probability calculations.

Financial Forecasting: Used in stock market analysis.

Physics: Applied in quantum mechanics and expansion of wave functions.

10. Fourier Series

Signal Processing: Used in audio and image compression (e.g., MP3, JPEG).

Electrical Engineering: Analyzes AC circuits and waveforms.

Medical Applications: MRI and EEG signal analysis.

11. Quadratic Equations

Projectile Motion: Describes the trajectory of objects under gravity.

Engineering: Helps in optimizing areas and dimensions in design.

Economics: Models revenue, profit, and cost functions.

12. Trigonometry

Architecture and Construction: Used to measure heights and distances.

Navigation: GPS and aviation use trigonometry for route planning.

Medical Imaging: Ultrasound and CT scans rely on trigonometric functions.

13. Systems of Linear Equations

Economics: Used in supply and demand models.

Engineering: Helps in analyzing electrical circuits and forces in structures.

Computer Science: Used in AI models and optimization problems.

14. Abstract Algebra

Cryptography: Groups and rings form the basis of encryption systems like RSA and elliptic curve cryptography.

Error Detection & Correction: Used in QR codes, barcodes, and data transmission (Reed-Solomon codes).

Robotics & Physics: Symmetry groups help describe physical laws and molecular structures.

15. Differentiation

Physics: Used to analyze motion (velocity and acceleration as derivatives of position).

Economics: Marginal cost and revenue functions rely on differentiation.

Machine Learning: Optimization techniques like gradient descent use derivatives to minimize errors.

16. Integration

Physics & Engineering: Used to calculate areas, volumes, and work done by forces (e.g., fluid dynamics).

Economics: Integral calculus helps in calculating consumer surplus and total revenue.

Medicine: MRI and CT scan image reconstruction rely on integration techniques.

17. Real Analysis

Engineering: Ensures the accuracy and convergence of numerical methods.

Quantum Mechanics: Helps in defining and analyzing wave functions.

Machine Learning: Ensures stability in optimization algorithms by understanding function behavior.

18. Complex Analysis

Electrical Engineering: Used in AC circuit analysis and signal processing (Laplace and Fourier transforms).

Fluid Dynamics: Helps solve problems in aerodynamics and hydrodynamics.

Quantum Mechanics: Wave functions and probability amplitudes are analyzed using complex functions.

A copied post.

Udeme Sunday

Mathematics is simple.

Just know the basics.

THE BASIC MATHEMATICS TEACHER.

I remember on that fateful day when I was called out in company of one other pupil and was asked to give solution to a mathematical problem. I was in Primary 4. (Don't try calculating the year oooo😊)

I couldn't get that fixed🙄, However, the other pupil, a girl simplified the problem and wrote the correct answer on the board. Everyone celebrated her and ofcourse gave me a dose of what the other kind of celebration was...

I left the school that day with a promise to be better in Mathematics.

So why didn't I get the math problem fixed that day? I asked the few stars of Mathematics in my class the next day and they pointed me to what I want to share now. Enter this topic 👇

RULES OF DIVISIBILTY.
This affords you the luxury to look at simple numbers at a glance and know if it can be divisible by the positive integers, 0-9 at least.

Simply put, it gives rules for the dividers of whole numbers.

Now the rules👇

Any whole number is exactly divisible by...

2, if its last digit is even or 0.
3, if the sum of its digits is divisible by 3.
4, if its last two digits form a number divisible by 4.
5, if its last digit is 5 or 0.
6, if its last digit is even and the sum of its digits is divisible by 3.
8, if its last three digits form a number divisible by 8,
9, if the sum of its digits is divisible by 9,
10, if its last digit is 0.

There is no easy rule for division by 7..................................................................................................................

When your child knows this at the upper primary classes, some topics in Mathematics will be a walk in the park - EASY.

My job is to guide them through...

I am Udeme Sunday and i teach Basic Mathematics efficiently.

Have a blessed week...

Udeme,
One of Us🌲

It's been an amazing school term/session. A graduation ceremony last Saturday drew the curtains on the 2023/2024 session in the school where I teach. It's time to rest for about four weeks only🥹 before we resume. 🤨

It's also a time to reflect on how I fared with my lesson pupils/students.🤔 Let's go!!!

I was privileged to prep up two pupils for the National Common Entrance Examinations. I know they will do excellently well. I taught them so.

The other one's terminal examination result is yet to be published. Judging from her performance during the Continuous Assessment Test which was awesome, it's an A from me.

The boys are up to their Senoir Secondary Classes. This was a proud moment for me. One of them was the best Mathematics student for his level (Year 9)✅ (Check the attached image)

I also prepared two pupils for Entrance Examinations into another school and they succeeded. This was the most challenging of them all... I pushed them to their best in just 3days.

Enough said, for now😁,
Your child needs a good Mathematics Teacher to thoroughly tutor him or her on the basics of this very simple subject.

I am very particular about the basics because the strength of a building is tied to its foundation.

This August is a bit free for me. Let's work something out...
Checkout my infant page, Dapper Hills...

Happy New Month to you.
Good Morning.

📷E-flyer and my testimonials.

Udeme,
One of Us🌲

THE BASIC MATHEMATICS TEACHER.

So I went for home lessons yesterday and I was so excited to see my students elated to learn after a well deserved break for them...

They sure needed it after swimming through their JUNIOR BECE and JSSCE. I know their results will be excellent...

After the necessary pleasantries and brain drills, i took them on the basics and ofcourse what they will see as they climb their Secondary School Education ladder. SS1 or Grade 10 beckons.

The topic was 'The Real Number System' and I repeatedly reminded them that numbers are fundamental to all learning of Mathematics. (This is to avoid their many questions 😋. These dudes can ask a handful of them, I love it though)

Lecture: The Real Number System is divided into two kinds: rational and irrational numbers. Rational numbers are sub divided into integers and non-integers.

Integers are made up of positive, zero and negative whole numbers while non-integers are fractions which could appear in different forms like vulgar, decimal and percentages.

Positive integers alone (1,2,3,...) are called the Counting or Natural numbers.

These natural numbers are divided into the popular kinds of numbers you know, that is
▪️Odd numbers
▪️Even numbers
▪️Prime numbers
▪️Composite numbers...

Do you need someone to teach your kids the basics of Mathematics (Upper Primary and Junior Secondary Classes) this August and beyond? HERE I AM, SEND ME✅...

Have a great Thursday. 🥂

Good Morning.

Udeme,
BasicMathsTeacher,
One of Us🌲

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