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
Australian Curriculum (AU)
A-Levels (UK)
Homework help
GCSE (UK)
Test Strategy
Math Tricks and Hacks
Practice Tests
Mental Math
International Baccalaureate (IB)
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
High School students
Middle School students
ASD
Anxiety or Stress Disorders
Home schooled
ADHD
Elementary School students
College students
Learning Disabilities
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 session focused on advanced trigonometry, specifically reviewing the analysis and graphing of sinusoidal functions, including phase shifts, amplitude, period, and vertical shifts. The Student practiced deriving trigonometric equations from graphs and was introduced to tangent functions and solving basic trigonometric equations using special angle values. The Student was encouraged to complete a related worksheet for homework.
Sinusoidal Graph Transformations: Understanding the Moves
Angles: Degrees & Radians - Two Ways to Speak the Same Language
The Unit Circle's Power: Understanding Sine & Cosine Origins
The Tangent Function: A Journey to Infinity
Solving Basic Trigonometric Equations: Finding the Angles
Student and Tutor reviewed the properties of sinusoidal functions, focusing on how amplitude, period, phase shift, and vertical shift affect their graphs. They practiced writing equations from given sine graphs and then graphing sine functions from specified equations. The Tutor assigned further practice questions for homework and planned to continue with graphing functions in the next session.
Phase Shift: Horizontal Translation
Sine vs. Cosine Relationship
Vertical Shift: Midline Adjustment
Period: Cycle Length from B-factor
Amplitude: Peak-to-Peak Measurement
General Form of Sinusoidal Functions
The Student and Tutor focused on applying algebraic concepts to real-world scenarios and analyzing properties of functions. They practiced interpreting graphs from word problems and identifying key features of quadratic and sinusoidal functions, including amplitude, period, and phase shift. The next session is scheduled for August 3rd to continue with algebra 2 topics.
Trigonometric Functions: Amplitude & Vertical Shift
Trigonometric Functions: Phase Shift
Trigonometric Functions: Period & Frequency
Quadratic Functions: Axis of Symmetry
Parabolas: Direction of Opening
Interpreting Graphs of Real-World Scenarios
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
Teaching tools used by tutor
Quizzes
Graphing Tools
Visualization & Exploration
Practice worksheets
Assessment
Interactive lessons
Parent feedback
Open Q&A
Chat for quick help
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.