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
Homework help
Practice Drills
Australian Curriculum (AU)
Mental Math
Test Strategy
International Baccalaureate (IB)
GCSE (UK)
Math Tricks and Hacks
Provincial-specific curriculum (CA)
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
ADHD
Elementary School students
Anxiety or Stress Disorders
College students
Learning Disabilities
ASD
Home schooled
Middle School students
High 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 tutor and student worked through problems involving arithmetic and geometric sequences, focusing on identifying patterns and classifying sequences as arithmetic, geometric, or neither. They practiced converting between recursive and explicit formulas, with the tutor demonstrating techniques for deriving and verifying these formulas based on observed sequence behavior. The next session will cover a mix of recursive and explicit sequence problems.
Arithmetic and Geometric Sequences
Recursive vs. Explicit Formulas
Identifying Sequence Patterns
Converting Between Recursive and Explicit Formulas
The student and tutor reviewed trigonometric identities, specifically the sine addition formula, before moving to probability. They covered the fundamentals of probability distributions and then delved into permutations and combinations, including the formulas and their applications. The student was assigned homework on probability of events, counting principle, and permutation/combination calculations.
Permutations and Combinations
Counting Principle (Multiplication Principle)
Probability Distributions
Trigonometric Identities
The class reviewed trigonometric ratios, identities, and solving trigonometric equations, including problems involving complementary angles. The student practiced applying these concepts and was assigned to review trigonometric identities and attempt worksheet problems for the next session.
Trigonometric Identities
Complementary Angles
Evaluating Trigonometric Functions
Graphing Trigonometric Functions
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.
Angles: Degrees & Radians - Two Ways to Speak the Same Language
Solving Basic Trigonometric Equations: Finding the Angles
The Tangent Function: A Journey to Infinity
Sinusoidal Graph Transformations: Understanding the Moves
The Unit Circle's Power: Understanding Sine & Cosine Origins
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.
Period: Cycle Length from B-factor
Sine vs. Cosine Relationship
Vertical Shift: Midline Adjustment
Phase Shift: Horizontal Translation
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.
Interpreting Graphs of Real-World Scenarios
Parabolas: Direction of Opening
Quadratic Functions: Axis of Symmetry
Trigonometric Functions: Amplitude & Vertical Shift
Trigonometric Functions: Period & Frequency
Trigonometric Functions: Phase Shift
Teaching tools used by tutor
Graphing Tools
Digital whiteboard
Assessment
Quizzes
Visualization & Exploration
Interactive lessons
Open Q&A
Record lessons
Pets are welcomed
Weekend lessons
Parent feedback
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