Blog

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: 3D Geometry | Vectors & Distances 🔹 Introduction In 3D geometry, measuring distances isn’t as straightforward as in 2D. We often need to find:1️⃣ The shortest distance from a point to a line, or2️⃣ The perpendicular distance from a point to a plane. […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Integration Applications 🔹 What Is Volume of Revolution? When a 2D curve is rotated about an axis, it sweeps out a 3D solid. For example, if the region under the curve y=f(x)y = f(x)y=f(x) between x=ax = ax=a and x=bx = […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: 3D Geometry | Vectors & Planes 🔹 Introduction In 3D geometry, two planes can:1️⃣ Be parallel,2️⃣ Coincide, or3️⃣ Intersect in a line. That line of intersection is a crucial concept — it represents all points that lie on both planes simultaneously. Two planes […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Applications in Physics 🔹 What Is Kinematics? Kinematics is the branch of mathematics and physics that describes motion — how objects move, how fast they move, and how their velocity changes over time. It focuses on what happens (displacement, velocity, acceleration) […]

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, […]