Nikita Sharma
Experienced tutor helping for grade improvement
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Private tutor - Nikita Sharma
Masters degree
/ 30 min
Nikita graduated from Pune University


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GMAT concept taught by Nikita
The session covered equations of lines and planes in space, including parametric and symmetric forms, distances between points and lines/planes, and relationships between lines and planes (parallel, intersecting, skew). The Student practiced finding equations and distances and determining relationships between geometric objects. The Tutor assigned a review of the chapter concepts for the next session.
Equations of Lines in 3D Space
Equations of Planes in 3D Space
Distance Between a Point and a Line
Distance Between a Point and a Plane
Relationship Between Lines: Skew and Intersecting
Relationship Between Planes: Parallel and Intersecting
The session was a comprehensive review of Chapter 2, focusing on vectors and their applications in multivariable calculus. The Student practiced various vector operations, including addition, subtraction, dot product, and cross product, as well as their applications in geometry and physics. Homework was assigned to reinforce the concepts learned, and the Tutor mentioned that the Student has a test coming up on Tuesday covering all of Chapter 2.
Vector Addition and Subtraction
Equivalent and Parallel Vectors
Component Form of a Vector
Unit Vectors and Normalization
Dot Product and Orthogonality
Scalar Triple Product and Volume of Parallelepipeds
Cross Product and Area of Parallelograms
During their math lesson, Nikita and Bryce delved into related rates, implicit differentiation, and algebraic simplification. Bryce specifically concentrated on problems from exam two, which included tasks like finding derivatives and simplifying complex expressions. To reinforce their understanding, Nikita assigned a comprehensive review of exam two.
Related Rates
Implicit Differentiation
Product Rule
Quotient Rule
Instantaneous Rate of Change
Nikita and Bryce dedicated their lesson to practicing various calculus differentiation techniques. Bryce diligently worked through examples and problems from his exam review sheet, specifically focusing on mastering the application of the chain rule, quotient rule, higher-order derivatives, and implicit differentiation. Their next meeting is scheduled to delve into related rates and tackle more exam-style problems.
Explicit vs. Implicit Functions
Implicit Differentiation
Higher Derivatives
Quotient Rule
Chain Rule
During their recent lesson, Nikita and Bryce delved into advanced differentiation techniques, covering the chain rule, product rule, and quotient rule, alongside essential simplification methods. Bryce actively applied these calculus principles to a range of functions, tackling both composite structures and scenarios demanding repeated use of the chain rule. The pair also explored how to determine the tangent line to a graph using derivatives, concluding with practice problems assigned to Bryce for continued learning.
Derivative of x^n
Quotient Rule
Product Rule
Chain Rule
Nikita guided Bryce through applying the product and quotient rules in calculus, focusing on finding derivatives of functions and determining tangent line equations. Bryce actively practiced several problems, receiving valuable guidance on algebraic manipulation and ensuring correct formula application. They plan to continue exploring related topics in their next lesson.
Derivative of x^-n
Slope of a Tangent
Quotient Rule
Product Rule
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