🌊 Understanding Related Rates — The Art of Connecting Change in Calculus
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Applications 🔹 What Are Related Rates? In many real-world situations, two or more quantities change with time — and their rates of change are connected. For example: These problems belong to a special category of calculus known as Related Rates, where […]
🌿 Mastering Implicit Differentiation — A Powerful Tool in Advanced Calculus
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published on: October 2025Category: Calculus Concepts | Advanced Techniques 🔹 What Is Implicit Differentiation? When we differentiate functions like y=x2+3xy = x^2 + 3xy=x2+3x, the process is straightforward — yyy is explicitly defined in terms of xxx.But what happens when xxx and yyy are mixed together, […]
The t-Test — Comparing Means and Making Statistical Inferences
🧠 Introduction In statistics, we often want to know whether two groups differ significantly in their means.For example: To answer such questions, we use the t-test, one of the most commonly used inferential tests. ⚙️ What is a t-Test? A t-test compares the means of one or two groups to determine whether the difference between […]
🌟 Elite Math Tutoring for German Families: Excel in School, Olympiads, and University Admissions
Mathematics is more than numbers—it is the language of logic, problem-solving, and STEM excellence. For ambitious students in Germany, excelling in math opens doors to top German universities, international STEM programs, and global competitions. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of mentorship experience, I […]
The Chi-Squared Goodness of Fit Test — Testing How Well Data Fit a Theoretical Model
🧠 Introduction In real-world statistics, we often want to know whether our observed data follow a theoretical or expected pattern. For example: To answer such questions, statisticians use the Chi-Squared Goodness of Fit Test, one of the most important non-parametric hypothesis tests. 📘 What is the Chi-Squared Goodness of Fit Test? The Goodness of Fit […]
🌟 Elite Math Tutoring for South Korean Families: Excel Locally and Globally
Mathematics is more than numbers—it is the language of logical reasoning, problem-solving, and STEM excellence. For ambitious students in South Korea, excelling in math opens doors to top Korean universities, international STEM programs, and global competitions. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of global […]
📘 Unlock Your Child’s True Mathematical Potential with Elite Online Mentorship
Author & Mentor: Rishabh Kumar🎓 IIT Guwahati & Indian Statistical Institute Alumnus🌍 Over 6 Years of International Teaching Experience📖 Author of multiple globally published math preparation books 🇭🇰 Empower Hong Kong Students for Global Excellence in Mathematics In today’s world, mathematics excellence opens doors to the world’s best universities and careers. Whether your child is […]
🎯 The TMUA Elite Guidebook — Master the Test of Mathematics for University Admission
Unlock Your Cambridge Dream with Precision Preparation The Test of Mathematics for University Admission (TMUA) is one of the most challenging and competitive exams for entry into top UK universities such as Cambridge, Warwick, Imperial College London, Durham, and LSE. Success in TMUA demands more than just knowledge — it requires strategic thinking, mathematical reasoning, […]
📘 IB Mathematics AA HL: 7 Scorer’s Exam Preparation Guidebook (Nov 2025 Edition)
🎯 Introduction The IB Mathematics: Analysis & Approaches HL course is known for its rigor, demanding analytical precision and conceptual mastery. Scoring a 7 is not just about solving problems — it’s about developing speed, accuracy, and exam confidence. That’s where this guidebook comes in.The IB Mathematics AA HL: 7 Scorer’s Exam Preparation Guidebook (Nov […]
🌟 Elite Math Tutoring for Families in the Netherlands: Achieve Academic Excellence
Mathematics is not just about numbers—it is the language of logic, problem-solving, and innovation. For ambitious students in the Netherlands, excelling in math opens doors to top universities in Europe and globally, as well as international competitions. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of […]