Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Complex Numbers | Algebra Meets Geometry 🔹 Introduction Complex numbers are more than just algebraic expressions — they represent points in a plane.This geometric representation is called the Argand Diagram. The Argand plane lets us see complex numbers — turning abstract algebra into […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)Published: October 2025Category: Calculus | Integration Techniques 🔹 What Is Integration by Substitution? Integration by Substitution is the reverse process of the chain rule in differentiation. It’s used when the integral contains a composite function — something inside something else — and a direct integration approach […]

Author: Rishabh Kumar (IIT + ISI | Global Math Mentor)**Published: October 2025Category: Complex Numbers | Trigonometry & Geometry 🔹 Introduction Complex numbers are not just algebraic curiosities — they form a geometric system where algebra, trigonometry, and exponential functions meet beautifully. One result stands above the rest in uniting them: De Moivre’s Theorem. It transforms […]

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 […]

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 […]

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, […]

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 […]

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 […]

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 […]

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 […]