Mansi Goyal

I am Mansi, a Research Scholar in the Department of Mathematics at IIT Roorkee. I have a deep passion for both learning and teaching mathematics, and I enjoy exploring its beauty at any time of the day. Outside of academics, I love playing volleyball, practicing yoga, and roller skating, which help me stay balanced and focused.

With nearly five years of online teaching experience, I have had the opportunity to work with students across the globe, ranging from children aged 12 and above to university-level learners. In addition to online tutoring, I have also served as a Visiting Lecturer in Mathematics at a university, where I developed engaging lessons and interactive learning strategies.

Previously, I worked as an online tutor on Brainly, where I gained extensive experience teaching a diverse range of mathematical topics to students of all ages and backgrounds. Known for my patience and clarity, I currently mentor several students, guiding them through challenging concepts and helping them build lasting confidence in mathematics.

My expertise spans a broad spectrum of subjects, including AP Algebra1-2, AP Geometry, AP Pre-Calculus, AP Calculus AB/BC, SAT, Vector Algebra, Linear Algebra, Numerical Analysis, Real Analysis, Group Theory, Probability Theory, and Differential Equations. I conduct my classes via Zoom and Google Meet, using a personalized approach tailored to each student’s learning style and pace.

In addition to teaching, I am actively involved in research and thesis writing, and I am proficient in both Microsoft Word and LaTeX. I also provide mentorship in research methodology and academic writing. Having qualified for several national-level exams, including the IIT JAM, GATE, and CSIR-UGC NET, I am well-equipped to guide students preparing for competitive examinations.

Mathematics, to me, is not just a subject but a way of thinking. My mission is to make students feel comfortable and confident with mathematics by connecting it to everyday life. I believe that with the right guidance, anyone can enjoy and excel in math, whether it’s geometry, algebra, trigonometry, or beyond. Let’s make mathematics fun and fascinating together!