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
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Each lesson is 55 min
50 lessons
20% off
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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
Practice Drills
Advanced Placement (AP) Program (USA)
Math Tricks and Hacks
Common Core State Standards - CCSS (USA)
Homework help
Gamification of Math
Australian Curriculum (AU)
International Baccalaureate (IB)
GCSE (UK)
Problem Solving
Learning Plans
Quick Math Games
Student types for classes
Home schooled
Middle School students
Anxiety or Stress Disorders
College students
High School students
Mathematics for Adults
Mathematics for Beginners
ADHD
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
Mathematics concepts taught by Utkarsh
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.
Sum-to-Product Formulas
Elimination Method for Conic Sections
Classification of Conic Sections
Factoring Trigonometric Equations
Law of Sines
Angle Sum Property of Triangles
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
Period of Tangent Function
Domain and Range of Tangent Function
Vertical Asymptotes of Tangent Function
Quarter Points
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)
The student and tutor reviewed trigonometric substitution, partial fraction decomposition, Riemann sums, and series convergence tests. The student practiced applying these techniques to specific problems and clarified the conditions for using the p-test on alternating series. The tutor assigned a problem involving Riemann sums for the student to complete.
Trigonometric Substitution
Partial Fraction Decomposition
Riemann Sums
Telescoping Series
Alternating Series Test
Conditional vs. Absolute Convergence
P-Test Series
The Student and Tutor worked through several problems involving series convergence, including applying different convergence tests and finding intervals of convergence for power series. The Student also worked on expressing a Taylor series in sigma notation. Future sessions will cover additional worksheets with similar problems.
Ratio Test for Convergence
Convergent Series Definition
Divergence Test
Taylor Series
Alternating Series Test
Interval of Convergence
The Student and Tutor worked on applying Maclaurin series to integration problems, focusing on manipulating integrals to utilize known series expansions. The Student practiced finding patterns in series and using them to express the nth term. They plan to continue working on related problems in the next session.
Taylor Series for e³ˣ
Manipulating Integrals to Utilize Known Series
Identifying Patterns in Series
McLaurin Series Application in Integration
Convergence of Series After Removing Terms
Integration by Parts and McLaurin Series
Teaching tools used by tutor
Graphing Tools
Assessment
Math Games
Presentations
Solvers & Calculators
Interactive lessons
Note taking
Parent feedback
Weekend lessons
Open Q&A
Record lessons
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