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Aman Gupta

Indian Institute of Space Science and Technology

Biography

Since school, I consider myself a quick and comprehensive learner, able to absorb the most complex ideas and apply them with ease. This reflected in my academics as I ended up securing the first position citywide in 10th and 12th higher secondary board exams. My academic excellence won me various accolades and awards including a monetary award of Rs. 50k having secured 2nd rank nationwide in the National Science Olympiad, 2012.
To pursue my fascination with aerospace, I opted for undergraduate study in Aerospace Engineering at Indian Institute of Space Science and Technology, funded by Department of Space, India. The undergraduate program provided me with a comprehensive knowledge of basic courses in the field of aerospace including aerodynamics, flight mechanics, fluid and solid mechanics, aircraft structures, propulsion, finite element modelling to name a few. During the second year, I, along with few other college peers, under the supervision of faculty members started Aeroclub, where we organised sessions on aeromodelling water rockets, ornithopters, gliders etc. We also held presentations on developments in aerospace and related events like aircrash investigations.
I tutor kids in mathematics in my neighbourhood on alternate evenings simplifying concepts by crafting real life examples and situations for them to interact with each concept. I focus on breaking down the concept to the very basics to make the kids understand easily the nuances it possesses. This mindset is what fuels my interest in research-oriented academics.

Education

BS Aerospace
Indian Institute of Space Science and Technology

Topics Covered

Derivatives
Algebra Topics That are Reviewed at the Start of the Semester
Introduction to Conic Sections
Trigonometry
Introduction to Combinatorics and Probability
An Introduction to Geometry
Functions
Linear Functions
Equations and Inequalities
Introduction to Trigonometry
Series
Integrals
Functions
Limits
Differentiation
Parametric Equations
Polar Coordinates
Multiple Integrals
Systems of Equations and Inequalities
Partial Derivatives
Geometric Proof
Introduction to Combinatorics and Probability
Introduction to Sequences and Series
Vectors
Work
Kinetic Energy
Potential Energy
Newton's Laws of Motion
Gravitation
Differential Equations
Exponential and Logarithmic Functions
Probability Topics
Polynomials
Geometry Basics
Parallel and Perpendicular lines
Integration Techniques
Circles
Probability
Sequences and Series
Normal, Binomial, and Geometric Models
Sequences and Series
Limits
Derivative
Matrices and Determinants
Complex Numbers

Aman's Textbook Answer Videos

02:51
Calculus

List the first five terms of the sequence.
$a_{n}=\frac{(-1)^{n} n}{n !+1}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
01:14
Calculus

Find a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues.
$\left\{\frac{1}{2}, \frac{1}{4}, \frac{1}{6}, \frac{1}{8}, \frac{1}{10}, \ldots\right\}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
02:10
Calculus

Find a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues.
$\left\{4,-1, \frac{1}{4},-\frac{1}{16}, \frac{1}{64}, \ldots\right\}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
02:22
Calculus

Find a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues.
$\left\{-3,2,-\frac{4}{3}, \frac{8}{9},-\frac{16}{27}, \ldots\right\}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
01:15
Calculus

Find a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues.
$\{5,8,11,14,17, \ldots\}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
01:46
Calculus

Find a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues.
$\left\{\frac{1}{2},-\frac{4}{3}, \frac{9}{4},-\frac{16}{5}, \frac{25}{6}, \ldots\right\}$

Chapter 11: Infinite Sequences and Series
Section 1: Sequences
Aman G.
1 2 3 4 5 ... 595

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