Mansi Goyal

Mansi Goyal

India

Meet Mansi Online math tutor AP, ACT, SAT, Calculus, Linear Algebra, Real Analysis, ODE, PDE & more

Teaches Mathematics
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About Mansi

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!

Resume

2020 — Present
Indian Institute Of Technology, Roorkee
Doctorate in Phd In Mathematics
British Indian Ocean Territory
2017 — 2019
Indian Institute Of Technology Patna
Master in Masters Of Science In Mathematics
British Indian Ocean Territory
2025 — 2026
Outlier.ai
Training AI Models
2023 — 2023
Remotask
Training AI Models
2023 — 2023
Brainly
Teacher or tutor with experience in math, physics, biology, and chemistry (Apr, 2023–Jun, 2023) at Brainly
2020 — Present
Indian Institute Of Technology Roorkee
Engaged in teaching undergraduate and postgraduate students at IIT Roorkee, covering a wide range of core Mathematics courses, including Linear Algebra, Real Analysis, Probability and Statistics, Abstract Algebra, and Calculus.
2019 — Present
One-on-one
Conducting one-on-one online classes for international students from various global education boards. Focused on building strong conceptual understanding through personalized teaching methods, regular progress tracking, and biweekly assessments to ensure consistent improvement and sustained motivation.
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Top Skills & Expertise

Algebra

I guide students through Algebra concepts using step-by-step methods and interactive problems to boost confidence and develop critical thinking for academic success.

Applied Mathematics

I guide students to understand complex Applied Mathematics concepts by breaking them down into simple steps and encouraging critical thinking for effective problem solving and practical use.

Calculus

I guide students through complex Calculus concepts with clear explanations and practical examples, helping them build confidence and excel in solving challenging problems efficiently.

Mathematics

I guide students to understand complex mathematical concepts through simple explanations and practical examples, helping them build confidence and excel in problem solving and critical thinking.

Maths

I guide students to understand complex Maths concepts by breaking them down into simple steps, boosting confidence and improving problem-solving skills for academic success.

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