Utkarsh Deepak
5+ years experience | Postgrad in Mathematics from Europe | Offline Centre also available | Fun learning with games
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Utkarsh Deepak
Masters degree
Enroll after the free trial
Each lesson is 55 min
50 lessons
20% off
/ lesson
30 lessons
15% off
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20 lessons
10% off
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10 lessons
5% off
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5 lessons
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1 lessons
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Utkarsh - Know your tutor
✨📚💀 I have done post graduation from University of Limerick and have hands on experience on Python, JS, ML, AI, Tableau for different projects also. I specialize in blended learning, interactive digital tools, and data-driven personalized instruction to make complex concepts accessible and engaging. Known for fostering critical thinking, analytical problem-solving, and concept mastery, my teaching emphasizes student-centered learning, adaptive learning pathways, and gamified strategies to maximize engagement. Students consistently praise the clarity, patience, and inspiring approach that transforms challenging topics into fun and achievable learning experiences. I’ve loved math since I was young because it’s like a secret language for solving the world’s puzzles. My goal is to make sure my classes are not just about formulas, but about building your confidence as problem solvers. Outside of teaching, I love playing Sudoku and hiking with my dog, π 🥧. In my class, mistakes are just 'stepping stones' to the right answer, so never be afraid to ask questions. Let’s make this platform your platform to become fearless in maths!
Utkarsh graduated from University of Limerick


Specialities of your tutor
Mental Math
Test prep strategies
Gamification of Math
Advanced Placement (AP) Program (USA)
GCSE (UK)
A-Levels (UK)
Practice Drills
Practice Tests
Test Strategy
Learning Plans
Common Core State Standards - CCSS (USA)
International Baccalaureate (IB)
Student types for classes
Home schooled
High School students
Middle School students
College students
Mathematics for Adults
Mathematics for Beginners
ADHD
Anxiety or Stress Disorders
Class overview
I specialize in blended learning, interactive digital tools, and data-driven personalized instruction to make complex concepts accessible and engaging.Known for fostering critical thinking, analytical problem-solving, and concept mastery, my teaching emphasizes student-centered learning, adaptive learning pathways, and gamified strategies to maximize engagement. Students consistently praise the clarity, patience, and inspiring approach that transforms challenging topics into fun and achievable learning experiences. Passionate about integrating educational technology, virtual simulations, and edutainment techniques, I enhance learning outcomes while preparing students to excel in competitive academics. Committed to leveraging AI-powered learning platforms, real-time assessment analytics, and collaborative online tools, I create an enriching and forward-thinking digital learning environment that aligns with modern EdTech trends.
Utkarsh also teaches
Elementary School Math
Geometry
High School Math
Linear Algebra
Middle School Math
Pre Algebra
Flexible Scheduling
Allows 1h early scheduling
Allows 1h early rescheduling
Can wait for 20 mins after joining

10 day Refund
Free Tutor Swap

Mathematics concepts taught by Utkarsh
The Tutor and Student reviewed multiple integrals, starting with single-variable integration of trigonometric functions and progressing to double integrals. They practiced solving problems involving basic double integrals and then delved into a more advanced technique of change of variables using a Jacobian for area integrals. The session concluded with an introduction to solving such transformed integrals.
Integration of Trigonometric Functions
Change of Variables in Double Integrals (Jacobian)
Double Integrals and Iterated Integration
The student and tutor worked through solving a complex radical equation by transforming it into a quadratic equation using substitution. They practiced applying the quadratic formula and critically evaluating potential solutions to identify extraneous roots, concluding that the equation had no real number solutions.
Substitution for Complex Equations
Solving Quadratic Equations Using the Formula
Interpreting Solutions and 'No Real Solutions'
Working with Reciprocals and Square Roots
Radical Denominators
Rational Equations and LCM
Substitution for Equations with Higher Powers
Quadratic Equations
The tutor and student worked through problems involving quadratic equations with complex coefficients. They focused on correctly applying the quadratic formula, substituting complex numbers, and simplifying the resulting expressions, particularly the expansion of squared complex numbers.
Quadratic Formula with Complex Numbers
Complex Number Arithmetic
Simplifying Radicals with Complex Numbers
Solving for x with Two Solutions
The Student and Tutor worked on solving systems of equations, including those involving lines and parabolas, and lines and circles. They practiced algebraic methods to find intersection points, including substitution and factoring quadratic equations. The next session was planned for the same time tomorrow.
Solving Systems of Equations Graphically
Solving Systems of Equations Algebraically (Substitution)
Factoring Quadratic Equations
Understanding the Equation of a Circle
The Student and Tutor worked on graphing transformations of logarithmic functions, focusing on understanding how changes to the function equation affect the graph. The session covered flipping and shifting graphs. They practiced selecting appropriate x-values to simplify calculations and plot points effectively, and scheduled a follow-up session for further practice.
Solving Logarithmic Equations: Integer Solutions
Logarithmic Properties: Simplifying Expressions
Function Transformations: Logarithmic Functions
Teaching tools used by tutor
Graphing Tools
Quizzes
Solvers & Calculators
Math Games
Presentations
Interactive lessons
Weekend lessons
Parent feedback
Note taking
Record lessons
Chat for quick help

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