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
/ lesson
20 lessons
10% off
/ lesson
10 lessons
5% off
/ lesson
5 lessons
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/ lesson
1 lessons
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/ lesson
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
Exam Simulation
Gamification of Math
Test prep strategies
A-Levels (UK)
Practice Tests
Advanced Placement (AP) Program (USA)
New Zealand Curriculum - NZC (NZ)
International Baccalaureate (IB)
Math Tricks and Hacks
Learning Plans
Mental Math
Practice Drills
Student types for classes
Home schooled
Middle School students
College students
Anxiety or Stress Disorders
Mathematics for Beginners
ADHD
High School students
Mathematics for Adults
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
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10 day Refund
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Free Tutor Swap
Mathematics concepts taught by Utkarsh
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.
Function Transformations: Logarithmic Functions
Logarithmic Properties: Simplifying Expressions
Solving Logarithmic Equations: Integer Solutions
The session focused on graphing transformations of logarithmic functions. The Student practiced sketching the graph of y = 3 * log base 2 of (-x) - 9 by identifying key points and asymptotes. The Student was assigned to review videos on logarithms and schedule another session to continue practicing these concepts.
Logarithmic Functions and Their Graphs
Asymptotes of Logarithmic Functions
Evaluating Logarithmic Expressions
Domain and Range of Logarithmic Functions
The Student and Tutor worked on graphing cube root functions and understanding transformations. The student practiced determining how the graph of a cube root function changes when multiplied by a constant or when a constant is added. The student also learned how to use specific points on the graph to match the equation.
The Cube Root Function
Evaluating Functions at Specific Points
Combining Transformations
Graph Transformations
The student reviewed trigonometric equations using sum-to-product formulas and solving for x in radians. Conic sections were also reviewed with a focus on identifying the type of conic section based on its general equation. The session concluded with solving multi-step trigonometry problems using the Law of Sines, with a focus on finding missing side lengths of composite right triangles, in preparation for an exam.
Elimination Method for Conic Sections
Angle Sum Property of Triangles
Law of Sines
Factoring Trigonometric Equations
Classification of Conic Sections
Sum-to-Product Formulas
The session focused on graphing trigonometric functions and identifying transformations. The Student practiced finding the period, domain, range, and asymptotes of trigonometric functions, particularly cosine and tangent. The Student will continue working on problems related to trigonometric functions in the next session.
Graphing Trigonometric Functions with Transformations
Quarter Points
Vertical Asymptotes of Tangent Function
Domain and Range of Tangent Function
Period of Tangent Function
The student reviewed Riemann sums, definite integrals, and volume calculation using integration. They practiced identifying components of Riemann sums and setting up integrals for solids of revolution. The tutor introduced Bernoulli's method as a shortcut for integration by parts under specific conditions. No specific homework was assigned, but the student intends to shift focus to physics in the coming semester.
Riemann Sums and Definite Integrals
Calculating Distance with Riemann Sums
Volume of Solid of Revolution: Shell Method
Integration by Parts
Bernoulli's Method (Tabular Integration)
Teaching tools used by tutor
Quizzes
Presentations
Assessment
Math Games
Graphing Tools
Interactive lessons
Weekend lessons
Open Q&A
Record lessons
Note taking
Chat for quick help
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