Algebra Basics
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Questions and Answers

In Algebra, constants are letters or symbols that represent unknown values.

False

Inequalities are statements that two expressions are equal.

False

Graphing is only used to visualize linear equations.

False

Linear equations can be solved using the quadratic formula.

<p>False</p> Signup and view all the answers

Exponents are only used in College Algebra.

<p>False</p> Signup and view all the answers

What was Nikhil's CGPA during his B.Tech in Artificial Intelligence?

<p>8.52</p> Signup and view all the answers

What was Nikhil's percentage in Senior Secondary (CBSE) from Sr. Shree Ram Model High School in 2021?

<p>95.6</p> Signup and view all the answers

When did Nikhil complete his Secondary education from Sr. Shree Ram Model High School?

<p>2019</p> Signup and view all the answers

Which tools and technologies were used by Nikhil in his Deception Detection project using EEG signals?

<p>Deep Learning - Convolutional Neural Networks</p> Signup and view all the answers

Nikhil developed a chatbot for voice recognition and response.

<p>True</p> Signup and view all the answers

Nikhil achieved dynamic traffic light control by checking and adjusting light timings every _ seconds based on traffic density data.

<p>5</p> Signup and view all the answers

Match the programming languages/frameworks with their primary usage:

<p>Python = General-purpose programming JavaScript = Client-side scripting for web applications SQL = Database queries React.js = JavaScript library for building user interfaces</p> Signup and view all the answers

Study Notes

Algebra

What is Algebra?

  • Branch of mathematics that deals with variables and their relationships
  • Uses symbols, equations, and formulas to solve problems

Basic Concepts

  • Variables: Letters or symbols that represent unknown values
  • Constants: Numbers that do not change value
  • Expressions: Combinations of variables, constants, and mathematical operations
  • Equations: Statements that two expressions are equal
  • Inequalities: Statements that one expression is greater than, less than, or equal to another

Types of Algebra

  • Elementary Algebra: Deals with basic equations and formulas
  • Intermediate Algebra: Covers quadratic equations, functions, and graphs
  • College Algebra: Includes advanced topics like systems of equations and matrix operations

Key Operations

  • Addition and Subtraction: Combining like terms in an expression
  • Multiplication and Division: Following order of operations (PEMDAS)
  • Exponents: Raising a number to a power
  • Simplifying Expressions: Combining like terms and canceling out unnecessary operations

Solving Equations

  • Linear Equations: Equations with a degree of 1, solved using addition, subtraction, multiplication, and division
  • Quadratic Equations: Equations with a degree of 2, solved using factoring, quadratic formula, or graphing
  • Systems of Equations: Sets of two or more equations, solved using substitution, elimination, or matrix methods

Graphing

  • Coordinate Plane: A grid with x and y axes, used to visualize equations
  • Graphs of Functions: Visual representations of equations, showing relationships between variables
  • Intercepts: Points where a graph crosses the x or y axis

Algebra

  • Algebra is a branch of mathematics that deals with variables and their relationships using symbols, equations, and formulas to solve problems.

Basic Concepts

  • Variables are letters or symbols that represent unknown values.
  • Constants are numbers that do not change value.
  • Expressions are combinations of variables, constants, and mathematical operations.
  • Equations are statements that two expressions are equal.
  • Inequalities are statements that one expression is greater than, less than, or equal to another.

Types of Algebra

  • Elementary Algebra deals with basic equations and formulas.
  • Intermediate Algebra covers quadratic equations, functions, and graphs.
  • College Algebra includes advanced topics like systems of equations and matrix operations.

Key Operations

  • Addition and subtraction combine like terms in an expression.
  • Multiplication and division follow the order of operations (PEMDAS).
  • Exponents raise a number to a power.
  • Simplifying expressions combines like terms and cancels out unnecessary operations.

Solving Equations

  • Linear Equations have a degree of 1 and are solved using addition, subtraction, multiplication, and division.
  • Quadratic Equations have a degree of 2 and are solved using factoring, quadratic formula, or graphing.
  • Systems of Equations are sets of two or more equations solved using substitution, elimination, or matrix methods.

Graphing

  • The Coordinate Plane is a grid with x and y axes used to visualize equations.
  • Graphs of Functions are visual representations of equations showing relationships between variables.
  • Intercepts are points where a graph crosses the x or y axis.

Education

  • Studying B.Tech in Artificial Intelligence at Amity University Noida (2021-2025) with a CGPA of 8.52
  • Completed Senior Secondary - CBSE from Sr.Shree Ram Model High School (2021) with a percentage of 95.6
  • Completed Secondary - CBSE from Sr.Shree Ram Model High School (2019) with a percentage of 92.4

Experience

  • Worked as a Software Engineer Trainee at Brillanz Software Solutions LLP (May-Jul 2024) in Pune
  • Developed an Automatic Question Generator App using React.js and Flask, enhancing efficiency in creating educational materials
  • Implemented MongoDB to store generated questions and integrated image extraction from PDFs
  • Streamlined the question generation process by automating text and image handling

Personal Projects

  • Deception Detection using EEG signals (Jan-Mar 2024)
    • Classified EEG signals into deception or truth categories with an efficiency of approximately 68%
    • Used Deep Learning - Convolution Neural Networks and Google Colab
  • Smart Traffic Management (Mar 2024)
    • Implemented a traffic optimization system with Arduino Uno and Python and Computer vision, leveraging YOLO v5
    • Designed and implemented a traffic management system with Arduino Uno and Python to optimize vehicle waiting times at intersections
    • Achieved dynamic traffic light control, checking and adjusting light timings every 5 seconds based on traffic density data
  • Intent Recognition-based Chatbot (Jun 2023)
    • Developed a chatbot using NLP and neural networks for intent recognition and voice response
    • Implemented voice input and response capabilities, enhancing user interaction through spoken prompts and replies
    • Leveraged NLP technology to convert user prompts into a bag of words for accurate intent identification

Certifications

  • Cisco CCNAv7: Introduction to Networks
  • NPTEL Certification on Python for Data Science (top 2%)

Key Courses

  • Data Structures and Algorithms
  • Database Management Systems
  • Operating Systems
  • Digital Electronics and Computer Architecture
  • Artificial Intelligence
  • Machine Learning
  • Deep Learning
  • Natural Language Processing
  • Exploring the Networks

Technical Skills

  • Programming: Python, Java, C, JavaScript, SQL
  • Tools: Jupyter Notebook, Google Colab, Vs code, MATLAB, Cisco Packet Tracer
  • Libraries and Frameworks: Tensorflow, Keras, numpy, pandas, Scikit-learn, React.js

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Description

Learn the fundamental concepts of algebra, including variables, constants, expressions, and equations. Understand the basics of this branch of mathematics.

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