Kapil Arora
Semiconductors Hardware Engineer providing tutoring classes in Mathematics focused on fundamentals and basics [first principles].
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Kapil Arora
Bachelors degree
/ 55 min
Kapil - Know your tutor
Myself Kapil Arora, I am a BITS Pilani graduate in Electronics and Electrical Engineering and currently working as an Analog Engineer in the Semiconductor industry. I offer personalized learning experiences in a wide range of subjects including Probability, Geometry, Calculus, Algebra and almost all mathematics topics for middle school, high school, elementary school and college students. My teaching style includes innovative methods focusing on the depth of approach (first principles). I like to teach mathematics and have tutored numerous students who have aced almost all competitive examinations. My students confidence gets boosted after my classes and there mathematics performance and scores improve a lot. I focus also on problem solving and practicing as practice makes a man perfect. Let's get started and conquer mathematics together!
Meet Kapil
Kapil graduated from BITS Pilani
Specialities of your tutor
Test prep strategies
Practice Tests
Homework help
Test Strategy
A-Levels (UK)
Math Tricks and Hacks
Problem Solving
Provincial-specific curriculum (CA)
Mental Math
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
No cancel fee
1-yr validity
24/7 support
Student types for classes
ASD
High School students
Middle School students
Anxiety or Stress Disorders
ADHD
Learning Disabilities
College students
Home schooled
Elementary School students
Class overview
My approach is focused on fundamentals and basics [first principles] as I believe these are foundational to a person's overall understanding and knowledge about a topic. I know fundamentals and basics are foundational to a person's knowledge and hold over any particular topic/subject and my focus is to develop fundamentals of students. My approach is very simple and focusing on the basics - the understanding about a topic has to be so deep that student does not have to remember any formulas/words/topics. It needs to be ingrained in the mind with a level of deep understanding such that there is no need for remembering. I integrate practice drills and question solving to build concepts within the live class to make the concepts engrained into the mind of the student. My live class includes Google meet and interactive whiteboards to make the most of the live lessons and explain students doubts and questions on the fly. And also clearly follow the students' approach to problem solving observing the minute details and correcting the students' approach for the best results and performance. Let's get started and boost your Mathematics scores.
Kapil also teaches
Algebra
Arithmetic
Calculus
Discrete Math
Elementary School Math
Geometry
Mathematics concepts taught by Kapil
The Student and Tutor worked through problems using the method of Lagrange multipliers for optimization with two and three variables, and then transitioned to finding the least squares line using linear regression formulas. The Tutor provided step-by-step guidance and explanations for each problem, and the Student practiced solving them.
Lagrange Multipliers
Lagrange Multipliers (Multiple Variables)
Least Squares Line
The Tutor and Student worked through several calculus problems involving finding local extrema and saddle points of functions using first and second derivative tests, and partial derivatives. They practiced solving systems of equations to find critical points and identifying maxima, minima, or saddle points based on derivative values. The session concluded with a discussion on the limitations of finding local extrema and the introduction to the method of Lagrange multipliers for the next session.
The Second Derivative Test
Partial Derivatives (fx and fy)
Finding Local Extrema for Multivariable Functions
Saddle Points
The tutor and student worked through various problems involving function evaluation, difference quotients, cost functions, and partial differentiation. They practiced calculating first and second-order partial derivatives and finding critical points of functions by solving systems of equations.
Evaluating Functions with Multiple Variables
Difference Quotients in Calculus
Cost Functions and Evaluation
Partial Derivatives: Treating Variables as Constants
Second-Order Partial Derivatives
Finding Critical Points Using Partial Derivatives
The student and tutor worked through calculus problems related to economics, focusing on calculating total income, consumer surplus, and producer surplus using integration. They also practiced finding equilibrium points and interpreting graphical representations of these economic concepts. The session concluded with a plan to continue practice, potentially including graphing.
Consumer Surplus
Market Equilibrium and Surpluses
Producer Surplus
Total Income from Income Stream
The student and tutor reviewed and practiced problems involving exponential functions and definite integration. They worked through problems on rearranging exponential expressions and evaluating integrals, focusing on algebraic manipulation and the correct application of integration rules and limit substitutions. The tutor provided guidance on calculation and sign management for accurate results.
Exponent Rule: Multiplication
Integral Properties: Constants and Separation
Integration of Exponential Functions
Definite Integrals and Evaluation
The Tutor and Student worked through several calculus problems, focusing on finding the area between curves using integration, understanding the integration of exponential and rational functions, and applying the Gini index formula related to Lorenz curves for measuring inequality. They practiced setting up and solving definite integrals and interpreting the results in context. The next session was scheduled to continue practice.
Interpreting Rates of Change (Production Rates)
Area Between Curves Using Integration
The Gini Index of Income Concentration
Teaching tools used by tutor
Practice worksheets
Digital whiteboard
Assessment
Quizzes
Graphing Tools
Interactive lessons
Chat for quick help
Note taking
Parent feedback
Record lessons
Pets are welcomed
Math tutors on Wiingy are vetted for quality
Every tutor is interviewed and selected for subject expertise and teaching skill.