Math with Mairaj

Math with Mairaj

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SAT โ€ข AP Calculus & Precalculus โ€ข IGCSE/O/A Levels โ€ข University Mathematics (Linear Algebra, Differential Equations)

Message me now to get started with online tutoring! Currently, I am a Lecturer at University offering my services in the field of calculus, differential equation, numerical analysis, and linear algebra.

16/06/2026

๐Ÿ“˜ ๐—ข๐—ป๐—ฒ ๐˜€๐—บ๐—ฎ๐—น๐—น ๐—ฐ๐—ฎ๐—น๐—ฐ๐˜‚๐—น๐˜‚๐˜€ ๐—บ๐—ถ๐˜€๐˜๐—ฎ๐—ธ๐—ฒ ๐—ฐ๐—ฎ๐—ป ๐—ฐ๐—ต๐—ฎ๐—ป๐—ด๐—ฒ ๐˜๐—ต๐—ฒ ๐—ฒ๐—ป๐˜๐—ถ๐—ฟ๐—ฒ ๐—ฎ๐—ป๐˜€๐˜„๐—ฒ๐—ฟ

The Product Rule is one of the first concepts students learn in differential calculus, yet it's also one of the most commonly misunderstood.

In this short video, I solve a classic derivative problem step by step and explain "why" each step worksโ€”not just what to write.

If you're studying:
โœ… AP Calculus AB/BC
โœ… A Levels
โœ… College Calculus
โœ… Engineering Mathematics

Share your answer in the comments, and let's see how you approached it. Mathematics becomes much easier when we focus on understanding the concepts rather than memorizing formulas.

WhatsApp: 0314 9686939

Photos from Math with Mairaj's post 16/06/2026

๐Ÿง  Most students don't struggle with geometry because it's "hard." They struggle because they don't know where to start.

Today's SAT geometry session with one of my students from the USA was all about breaking down challenging problems into simple, logical steps.

Instead of memorizing tricks, we focused on understanding the relationships between angles, triangles, circles, and the information hidden in the diagram. Once the logic became clear, the questions became much easier to solve.

Geometry rewards clear thinking more than fast calculations. That's exactly the skill every SAT student should build.

Here are a few snapshots from today's lesson. ๐Ÿ“โœ๏ธ

Question for students: What's one geometry topic that has always challenged you the most?

13/06/2026

Memorizing formulas isn't enoughโ€”understanding why a derivative or integral works is what helps you solve unfamiliar AP exam questions with confidence.

24/05/2026

๐Ÿš€๐’๐€๐“ ๐Œ๐š๐ญ๐ก ๐„๐ฅ๐ข๐ญ๐ž ๐’๐ฎ๐ฆ๐ฆ๐ž๐ซ ๐‚๐จ๐š๐œ๐ก๐ข๐ง๐  โ€” ๐‹๐ข๐ฆ๐ข๐ญ๐ž๐ ๐’๐ญ๐ฎ๐๐ž๐ง๐ญ๐ฌ ๐Ž๐ง๐ฅ๐ฒ

This summer, Iโ€™m opening a small number of private SAT Math coaching spots for students who want serious score improvement through structured, concept-based preparation.

This is not random SAT practice or shortcut-based tutoring.

Itโ€™s a personalized coaching system designed to help students:
โœ… Strengthen weak math foundations
โœ… Improve SAT problem-solving skills
โœ… Increase speed and accuracy
โœ… Build confidence for test day
โœ… Learn proven SAT strategies step by step

๐Ÿ“Œ Whatโ€™s Included:
โœ” Weekly private coaching sessions
โœ” Personalized SAT study roadmap
โœ” Practice tests + detailed error analysis
โœ” Direct doubt-solving support
โœ” Parent progress updates

๐ŸŽ Bonus Resources:
โ€ข SAT Formula Guides
โ€ข Common SAT Trap Questions
โ€ข Test-Day Strategy Notes
โ€ข Last Week Before SAT Preparation Plan

โš ๏ธ I work with only a limited number of students to ensure personal attention and high-quality instruction.

๐Ÿ’ฐ Investment: $397/month

๐Ÿ“ฉ Message me with:
โ€ข Current SAT Math score
โ€ข Target score
โ€ข SAT test date

And Iโ€™ll let you know if this program is the right fit.

17/05/2026

SAT Math becomes much easier when you focus on understanding patterns in questions instead of memorizing formulas.

17/05/2026

Success in SAT Math comes from strong concepts, not shortcutsโ€”build your foundation first and the scores will follow.

18/04/2026

Shout out to my newest followers! Excited to have you onboard! Vijendra Kumar, Ramzan Ali Rajput, Alex Magoro, Safdar Nazeer, Ammar Shaikh

16/04/2026

POV: Went in looking for something lightโ€ฆ ended up choosing Differential Equations ๐Ÿ“š

Found an algebra book that looked interesting, but you know when your mind is set on something deeperโ€ฆ had to go with Zillโ€™s Differential Equations.

Time to get lost in some real math. ๐Ÿ”โœจ

Photos from Math with Mairaj's post 17/02/2026

Alhamdulillah, spent a wonderful day at Basti Restaurant, E-11 ๐ŸŒฟโœจ

Great ambiance, delicious food, and even better company. Sometimes itโ€™s these simple momentsโ€”good conversations over a good mealโ€”that make the best memories.

Grateful for days like this. ๐Ÿฝ๏ธ๐Ÿ˜Š

15/02/2026

Most students lose easy marks on inverse functionsโ€ฆ not because itโ€™s hard โ€” but because they miss one key step.

In this video, I break down a rational inverse function problem step-by-step and clearly explain:

โœ”๏ธ How to correctly swap variables
โœ”๏ธ How to solve the algebra without mistakes
โœ”๏ธ Why domain restrictions matter
โœ”๏ธ The common trap students fall into

If inverse functions ever confused you in Precalculus, this will finally make it click.

Watch the full solution and tell me in the comments:
Was the algebra step or the domain part harder for you?

Tag a friend who needs help with Precalculus ๐Ÿ‘‡Like, share and comment. That help me to make more content for you that is helpful for FREE.

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