✨ Taylor Series — Approximating the Infinite in Calculus
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Series Expansion | Advanced Concepts 🔹 What Is a Taylor Series? The Taylor Series is one of the most elegant ideas in mathematics — it allows us to approximate any smooth function using polynomials. If you’ve ever used your calculator to […]
🌟 Elite Math Tutoring for Saudi Arabia & Gulf Families: Excel in School, Olympiads, and Global University Admissions
Mathematics is more than just numbers—it is the language of logic, problem-solving, and STEM excellence. For ambitious students in Saudi Arabia and the Gulf region, excelling in math opens doors to top local and international universities, scholarships, and global STEM opportunities. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator […]
📐 Angle Between Lines and Planes — A Complete Vector Geometry Guide
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Vectors | 3D Geometry 🔹 Introduction In 3D geometry, lines and planes can be parallel, perpendicular, or inclined.The angle between them helps us understand spatial orientation — vital in geometry, mechanics, and vector analysis. We’ll learn to find:1️⃣ The angle between two lines2️⃣ […]
🟢 Area Under a Curve — The Power of Integration in Calculus
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Applications of Integration 🔹 What Does “Area Under a Curve” Mean? In mathematics, integration can be thought of as the process of adding up infinitely many small quantities. When applied to a function y=f(x)y = f(x)y=f(x), the area under the curve […]
IB Math AI HL Mastery: The 7 Scorer’s Exam Prep Companion
📖 Available Now on Amazon WorldwideUS: https://a.co/d/abvVaP8UK: https://amzn.eu/d/aLIraBY(Scroll down for full list of regional links) 🎯 Master IB Math AI HL with Confidence The IB Mathematics: Applications and Interpretation (AI) HL course is designed for students who want to apply mathematics in real-world, data-driven contexts. It focuses on modeling, interpretation, and the use of technology […]
Master IB Math AA HL with Confidence: Introducing The 7 Scorer’s Exam Prep Companion
Do you ever feel that despite hours of studying, IB Math AA HL still throws curveballs your way?Complex integrals, tricky probability, challenging proofs — it’s not just about formulas, but strategy, insight, and smart practice. That’s precisely why IB Math AA HL Mastery: The 7 Scorer’s Exam Prep Companion was created — to crack the […]
📏 Distance from a Point to a Line and a Plane — 3D Geometry Simplified
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. […]
🔵 Volume of Revolution — Turning Curves into 3D Solids
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 = […]
🧩 Line of Intersection Between Two Planes — Step-by-Step Geometric Method
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 […]
🚗 Kinematics in Calculus — Understanding Motion Through Mathematics
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) […]