Shivani Gupta
Crack the Code of Math with an Algebra Maestro
Private tutor - Shivani Gupta
Bachelors degree
/ 30 min
Shivani - Know your tutor
I'm Dr. Shivani Gupta, a passionate and results-driven Physics Ph.D. with a proven track record of excellence in teaching. With over four years of experience as a Research cum Teaching Fellow, I have been dedicated to shaping the minds of aspiring engineers in the field of Engineering Physics. In addition to my valuable experience in engineering education, I have spent two years imparting knowledge in Graduation Physics, helping students build a strong foundation in the subject and prepare for their academic and professional journeys. My commitment to both research and teaching ensures that students receive a well-rounded education that equips them for future success.
Shivani graduated from DDU
Class overview
Embracing the power of technology, I have also been actively engaged in online teaching, reaching students worldwide in the disciplines of Maths and Physics. My online tutoring initiatives have enabled me to connect with diverse learners, transcending geographical boundaries and fostering a global community of knowledge seekers. Throughout my teaching journey, I have consistently employed innovative and interactive methods to create an inspiring and inclusive learning environment. By integrating real-world applications and practical examples, I strive to make complex concepts relatable and accessible to every student. As an educator, my passion for teaching goes beyond the classroom. I am driven by the desire to ignite curiosity, nurture critical thinking, and instill a lifelong love for learning in each individual I have the privilege to mentor. My goal is to equip students with the skills and knowledge they need to excel academically and professionally, fostering a generation of thinkers and problem-solvers who can contribute meaningfully to society.
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Mathematics concept taught by Shivani
Shivani and Murphy worked through several physics problems involving kinetic energy, momentum, and elastic collisions. They applied conservation laws and trigonometric principles to solve for forces, velocities, and angles in one- and two-dimensional scenarios. The session concluded with an analysis of whether a collision was elastic or inelastic based on kinetic energy conservation.
Work-Energy Theorem
Vector Decomposition
Elastic Collision
Conservation of Momentum
Kinetic Energy
Shivani and Shreyan worked through dynamics and wave problems from past papers, focusing on kinematics equations, force vectors, standing waves, electric fields, and conservation of momentum. Shreyan practiced applying formulas and problem-solving techniques. They reviewed vector resolution, harmonic frequencies, and relative motion, with a focus on understanding the underlying physics principles.
Electric Field & Potential
Gravitational Potential Energy
Equations of Motion
Conservation of Momentum
Fundamental Frequency (Closed Pipe)
Vector Decomposition
Shivani taught a student from Lehman College in The Bronx about momentum and collisions in two dimensions, including how to calculate velocity components and determine if a collision is elastic or inelastic. They worked through word problems applying conservation of momentum in x and y directions. Shivani will send the student a worksheet to practice momentum and conservation of momentum.
Elastic vs. Inelastic Collisions
Tan Theta in Vector Resolution
Kinetic Energy as a Scalar
Vector Components
Conservation of Momentum in 2D
In their physics lesson, Shivani and T Murphy explored the conservation of momentum and the nuances distinguishing elastic from inelastic collisions. T Murphy actively engaged in applying the conservation of momentum formula to solve problems and practiced determining collision types by analyzing kinetic energies before and after the event. Shivani then assigned practice problems on these concepts, with their next lesson slated to cover collisions in two dimensions.
Conservation of Momentum
Elastic Collision
Inelastic Collision
Momentum Formula
Kinetic Energy Formula
Shivani guided Beck through the physics concepts of momentum and impulse, detailing their definitions, formulas, and units. Beck actively practiced calculating these quantities using various formulas and interpreting force-time graphs to determine impulse. For their upcoming lesson, Shivani assigned a worksheet that includes momentum, impulse, and conservation of momentum.
Momentum
Impulse
Force-Time Graph & Impulse
Vector Nature of Momentum
Shivani taught Shreyan about Kirchhoff's Voltage and Current Laws, including the resistance and EMF rules for circuit analysis. Shreyan practiced applying these laws to solve single-loop and parallel circuits, calculating current and potential differences. Shivani assigned worksheets on waves and thermodynamics for additional practice and mentioned that they would begin studying magnetism in the next session.
EMF Rule (Battery Rule)
Kirchhoff's Voltage Law (KVL)
Resistance Rule
Kirchhoff's Current Law (KCL)
Potential Drop/Gain
Shivani also teaches
Algebra
Math
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