Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Vectors | Geometry in Space 🔹 Introduction Vectors describe direction and magnitude — but to analyze how two vectors relate, we need tools like the scalar (dot) product and vector projection. These concepts reveal: Scalar product measures “alignment”; projection measures “influence.” ⚡️ 1️⃣ […]

Are you preparing for the IB Mathematics November exams?Whether you’re studying Analysis & Approaches (AA) or Applications & Interpretation (AI), at Higher Level (HL) or Standard Level (SL) — this is the time to sharpen your skills, solve real exam questions, and master the art of precision. At Mathematics Elevate Academy, we understand how challenging […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Differentiation Concepts 🔹 What Does “Rate of Change” Mean? At its core, calculus is the study of change. The rate of change tells us how one quantity changes in response to another.In everyday terms: Mathematically, if yyy depends on xxx,the average […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Statistics | Hypothesis Testing 🔹 What Is the Chi-Square Test? The Chi-Square Test (χ² Test) is a statistical method used to test whether observed data fits an expected distribution or whether two categorical variables are related. It’s one of the simplest and most […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Applications of Differentiation 🔹 What Is Optimization in Calculus? In calculus, optimization means finding the maximum or minimum value of a quantity — often under certain constraints. It’s one of the most practical uses of differentiation, showing how mathematics helps make […]

Mathematics is more than numbers—it is the language of logic, problem-solving, and innovation. For ambitious students in Hong Kong, excelling in math opens doors to top local and international universities, scholarships, and competitive STEM programs. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of mentorship experience, […]

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 […]

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, […]

🧠 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 […]

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 […]