Nikita Sharma
Mathematics Tutor - Specializing in Advanced Math for Special Needs
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Nikita Sharma
Masters degree
/ 55 min
Nikita - Know your tutor
Hello, I'm Nikita Sharma, a math tutor with a focus on student engagement and teaching philosophy. I hold a Bachelor's degree specializing in Mathematics. I love teaching Elementary to High School Math, including Geometry, Trigonometry, Algebra, and much more. My approach involves making math fun and relevant to students of all levels. Let's conquer math together! In my lesson you can expect personalised student approach. You would develop deep understanding of mathematical concepts , to achieve this I encourage active participation of student and critical thinking. Lesson would be amalgamation of conceptual understanding and exercise sheets to practice . I cater Mathematics to enthusiastic students of all grades, from kids to adults, ensuring a supportive and enriching learning experience tailored to individual needs.
Nikita graduated from Pune University
Specialities of your tutor
Test prep
Exam Simulation
Australian Curriculum (AU)
Quick Math Games
Math Tricks and Hacks
Test prep strategies
Practice Tests
Exam prep
Concepts learning
Problem Solving
Homework help
Learning Plans
Student types for classes
Mathematics for Adults
Anxiety or Stress Disorders
High School students
ASD
College students
ADHD
Middle School students
Elementary School students
Learning Disabilities
Home schooled
Mathematics for Kids
Mathematics for Beginners
Class overview
I am an experienced and dedicated math tutor specializing in various levels and subjects like Elementary School Math, GCSE Maths, GED Math, and more. My teaching methodology is interactive, engaging, collaborative, and creative. I assess the student's current skills and focus on specific areas for improvement. I use feedback with annotated problem-solving steps on a digital whiteboard. Additionally, I include puzzles and interactive math games to make learning fun and reinforce concepts. My tutoring sessions are designed to enable students to tackle even the most challenging math problems with confidence.
Nikita also teaches
ACT Math
Algebra
Algebra 2
AP Statistics
Arithmetic
Calculus
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15 days Refund
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Free Tutor Swap
Mathematics concepts taught by Nikita
The Student and Tutor worked through problems related to power series, geometric series, Taylor series, derivatives of series, and differential equations. The Student practiced determining convergence, finding coefficients, and solving for particular solutions. Follow-up was scheduled to further discuss differential equations after the Student's upcoming test.
Derivatives of Power Series
Differential Equations and Particular Solutions
Interval of Convergence
Determining Geometric Series
Power Series Representation
Radius of Convergence
Geometric Series Summation
The student and tutor worked on problems related to infinite series, Taylor series, and power series in preparation for an upcoming AP Calculus BC test. They covered topics such as finding intervals of convergence, determining coefficients in Taylor series, and using the ratio test. The tutor will send additional practice problems focusing on Taylor series and error bounds for the student to work on independently.
Power Series Convergence
Center of Convergence
Taylor Series Representation
Sign Determination in Taylor Series
Using Taylor Series within Integrals
The Student and Tutor reviewed concepts related to Taylor polynomials, error bounds (Lagrange error bound), and the interval and radius of convergence for power series. They practiced calculating error bounds, determining the degree of Taylor polynomials, and applying the ratio test to find convergence intervals. The Tutor also provided practice problems to reinforce these topics.
Lagrange Error Bound
Interval and Radius of Convergence
Taylor Polynomial Approximation Accuracy
The Tutor and Student reviewed and practiced applying the Fundamental Theorem of Calculus, Part One, for differentiation of integrals and converting Riemann sums into definite integrals. They also worked on finding intervals of increasing/decreasing functions and approximating integrals using right Riemann sums. The Student confirmed they have a formula list for integration and derivatives.
Right Riemann Sum Approximation
Determining Increasing/Decreasing Intervals
Riemann Sums to Definite Integrals
Fundamental Theorem of Calculus (Part 1)
The tutor and student worked through various algebra and quantitative reasoning problems, including word problems, currency exchange, systems of equations, ratios, algebraic identities, and rationalizing denominators. The student practiced setting up equations, applying formulas, and solving for unknown variables, with a plan to reinforce these concepts through further practice problems.
Algebraic Equation Solving using Substitution
Currency Exchange Rate Calculations
Solving Systems of Linear Equations
Rationalization of Denominators
The tutor and student reviewed concepts related to power series, including finding the radius and interval of convergence, and then moved on to Taylor polynomials and error bounds using the Lagrange remainder. They worked through several example problems to solidify understanding of these topics.
Geometric Series and Convergence
Taylor Polynomials and Error Bounds
Radius and Interval of Convergence
Teaching tools used by tutor
Solvers & Calculators
Lesson Planning Tools
Visualization & Exploration
Digital whiteboard
Assessments
Assessment
Graphing Tools
Lesson Planner
Interactive lessons
Mobile joining
Chat for quick help
Parent feedback
Record lessons
Note taking
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Every tutor is interviewed and selected for subject expertise and teaching skill.