🔶 Integration by Parts — The Product Rule in Reverse
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Integration Techniques 🔹 What Is Integration by Parts? When differentiation involves a product rule, integration involves its reverse — and that’s exactly what integration by parts is. It allows us to integrate the product of two functions when direct integration isn’t […]
✨ Roots of a Complex Number — Geometry in the Argand Plane
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Complex Numbers | Algebra & Geometry 🔹 Introduction Complex numbers connect algebra and geometry like nothing else in mathematics. Every complex number can be represented as a point or a vector on the Argand plane, and taking roots of complex numbers reveals beautiful […]
🌟 Maclaurin Series — Simplifying Functions into Infinite Polynomials
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Series Expansion | Applications of Differentiation 🔹 What Is a Maclaurin Series? The Maclaurin Series is a special form of the Taylor Series, where the expansion is centered at x=0x = 0x=0. It expresses a smooth function as an infinite polynomial, […]
📘 Vector Equation of a Line and a Plane — The Language of 3D Geometry
Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Vectors | 3D Geometry 🔹 Introduction In 3D geometry, lines and planes are the building blocks of space.Their equations in vector form provide an elegant, coordinate-free way to represent direction, position, and geometry. Every line is defined by a point and a direction,and […]
✨ 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 […]