IIT Madras
BS in Data Science and Applications from IIT Madras
IIT Madras has launched the BS in `Data Science and Applications`. In this program, the course contents are delivered online and can be studied by anyone from anywhere, while the monthly quizzes and final semester exams will have to be attended in-person at designated centres.
Notes
Activity Questions 1.1
“The cafe was like a battleship stripped for action.” The figure of speech used here is ___. Drawing on the information from the sources discussing figures of speech:
Notes
Activity Questions 1.1
1. Below is a list of numbers: 22, -17, 47, -2000, 0, 1, 43, 1729, 6174, -63, 100, 32, -9. How many natural numbers are there in the given list? a) 6 b) 7 c) 8 d) 9 Solution Based on the sources, the set of natural numbers is denoted by N. This set includes 0, 1, 2, 3, 4, 5, and so on. The sources explicitly state that whenever they are talking about natural numbers, it always includes a 0, even though some books may not. Natural numbers are primarily used for counting.
Notes
Comprehensive Course on Sets and Functions
1. Numbers and Basic Operations Definition: Natural Numbers (ℕ) The set of counting numbers starting from 0. ℕ = {0, 1, 2, 3, 4, ...} Definition: Integers (ℤ) All positive, negative whole numbers, and zero. ℤ = {..., -3, -2, -1, 0, 1, 2, 3, ...} 1.1 Arithmetic Operations Definition: Basic Arithmetic Operations Addition (+): Combining two or more numbers into a single number. Subtraction (-): Finding the difference between two numbers. Multiplication (×): Repeated addition of the same number. Division (÷): Repeated subtraction or splitting into equal parts. Modulo (mod): The remainder when one number is divided by another. Example: Arithmetic Operations 1. 5 + 2 = 7 2. 9 - 4 = 5 3. 3 × 4 = 12 (adding 3 four times) 4. 18 ÷ 3 = 6 (dividing 18 into 3 equal parts) 5. 10 mod 3 = 1 (when 10 is divided by 3, the remainder is 1) Practice Problems: Arithmetic Operations Try These Problems:
English
Active Passive voice
The voice of a verb indicates whether the subject of the sentence performs the action or receives the action. There are two main voices in English:- active and passive.
English
Adjectives
The voice of a verb indicates whether the subject of the sentence performs the action or receives the action. There are two main voices in English:- active and passive.
English
Adverbs
The voice of a verb indicates whether the subject of the sentence performs the action or receives the action. There are two main voices in English:- active and passive.
English
Articles
Articles are a part of determiners that are used before nouns to define nouns or give some information about nouns.
English
Cloze Test
The voice of a verb indicates whether the subject of the sentence performs the action or receives the action. There are two main voices in English:- active and passive.
English
Conjunctions
The voice of a verb indicates whether the subject of the sentence performs the action or receives the action. There are two main voices in English:- active and passive.
Notes
Activity Questions 1.1
“The cafe was like a battleship stripped for action.” The figure of speech used here is ___. Drawing on the information from the sources discussing figures of speech:
Notes
Activity Questions 1.1
1. Below is a list of numbers: 22, -17, 47, -2000, 0, 1, 43, 1729, 6174, -63, 100, 32, -9. How many natural numbers are there in the given list? a) 6 b) 7 c) 8 d) 9 Solution Based on the sources, the set of natural numbers is denoted by N. This set includes 0, 1, 2, 3, 4, 5, and so on. The sources explicitly state that whenever they are talking about natural numbers, it always includes a 0, even though some books may not. Natural numbers are primarily used for counting.
Notes
Comprehensive Course on Sets and Functions
1. Numbers and Basic Operations Definition: Natural Numbers (ℕ) The set of counting numbers starting from 0. ℕ = {0, 1, 2, 3, 4, ...} Definition: Integers (ℤ) All positive, negative whole numbers, and zero. ℤ = {..., -3, -2, -1, 0, 1, 2, 3, ...} 1.1 Arithmetic Operations Definition: Basic Arithmetic Operations Addition (+): Combining two or more numbers into a single number. Subtraction (-): Finding the difference between two numbers. Multiplication (×): Repeated addition of the same number. Division (÷): Repeated subtraction or splitting into equal parts. Modulo (mod): The remainder when one number is divided by another. Example: Arithmetic Operations 1. 5 + 2 = 7 2. 9 - 4 = 5 3. 3 × 4 = 12 (adding 3 four times) 4. 18 ÷ 3 = 6 (dividing 18 into 3 equal parts) 5. 10 mod 3 = 1 (when 10 is divided by 3, the remainder is 1) Practice Problems: Arithmetic Operations Try These Problems:
Notes
Essential English Grammar Course
Essential English Grammar Course - Improved Layout & Examples This rewritten course is based on the structure and progression of “Essential Grammar in Use” (4th Edition by Raymond Murphy), but is reorganized for clarity, with enhanced explanations and more practical, modern examples. Each unit includes a concise explanation, clear tables, and sample sentences for real-life situations. Course Structure Part 1: Foundations Unit 1: The Verb “To Be” (am, is, are) Unit 2: Present Simple & Present Continuous Unit 3: Questions & Negatives Unit 4: Nouns, Pronouns, & Possessives Part 2: Tenses Unit 5: Past Simple & Past Continuous Unit 6: Present Perfect & Past Perfect Unit 7: Future Forms (will, going to, present continuous) Part 3: Expanding Sentences Unit 8: Modals (can, could, must, should, might) Unit 9: Articles (a/an, the) Unit 10: Countable & Uncountable Nouns Unit 11: Adjectives & Adverbs Part 4: Sentence Building Unit 12: Word Order & Questions Unit 13: Conjunctions & Clauses Unit 14: Prepositions Part 5: Practical Grammar Unit 15: Passive Voice Unit 16: Reported Speech Unit 17: Gerunds & Infinitives Unit 18: Phrasal Verbs Appendices Irregular Verbs List Spelling Rules Contractions Additional Practice Exercises Part 1: Foundations Unit 1: The Verb “To Be” (am, is, are) Explanation: “To be” is used to describe people, places, things, and feelings.
Notes
Figures of Speech Part - 1
Figures of speech are literary devices that help make language more impactful and impressive. They are used in both spoken and written communication to demonstrate command and control over the language, ultimately adding to your confidence. Here are some of the key figures of speech discussed in the sources: Simile ✨ What it is: A simile is a type of comparison between two completely unassociated things or ideas. How it works: It most commonly uses words like “like” or “as” to draw the comparison. It does not provide a literal interpretation; instead, it creates a vivid picture or emphasizes a quality. Examples: “Oh Oh my love is like a red red rose” 🌹 “I wandered lonely as a cloud” ☁️ “He is as modest as a hermit” 🧘 “A face as dull as lead” 😩 “Eyes as bright as blazing star” ⭐ Metaphor 🖼️
Notes
IIT Madras BS Descriptive Statistics
Certainly! Below is a detailed explanation of the key topics in the IIT Madras BS Descriptive Statistics PDF, presented with examples, questions, and step-by-step solutions in a clear and structured layout[1]. 1. Introduction to Statistics Statistics is the science of collecting, organizing, analyzing, interpreting, and presenting data. Key Concepts Population: All elements of interest (e.g., all houses in Tamil Nadu). Sample: A subset of the population (e.g., 1000 houses from Tamil Nadu). Descriptive Statistics: Summarizing and describing data. Inferential Statistics: Drawing conclusions about a population from sample data. Example: A teacher wants to know the average marks of all students in a school. She collects a sample of students and calculates their average. If she uses this to estimate the school average, she is using inferential statistics.
IIT Madras
BS in Data Science and Applications from IIT Madras
IIT Madras has launched the BS in `Data Science and Applications`. In this program, the course contents are delivered online and can be studied by anyone from anywhere, while the monthly quizzes and final semester exams will have to be attended in-person at designated centres.
mathematics
Calculating a Derivative by Definition
Suppose \$ f(x) = ax^2 + bx + c \$ (you can set \$ a=1, b=0, c=0 \$ for \$ f(x) = x^2 \$, but we’ll keep it general). $$ f(x + h) = a(x + h)^2 + b(x + h) + c = a(x^2 + 2xh + h^2) + b(x + h) + c $$ $$ = ax^2 + 2axh + ah^2 + bx + bh + c $$ $$ f(x) = ax^2 + bx + c $$
english II
Week 1 English II Graded Assignment
1. “Unbiased opinion” is an example of _____. a) Oxymoron b) Paradox c) Antithesis d) None of the above Explanation The phrase “Unbiased opinion” is an example of a) Oxymoron.
english
Week 2 English II Graded Assignment
1. Identify the adverb in the following sentence. Seetha is listening patiently. a) Listening b) My c) Patiently d) Is listening patiently Solution The adverb in the sentence “Seetha is listening patiently” is c) Patiently.
english II
Week 3 English II Graded Assignment
1. ‘This book is necessary for me to do my research.’ In this sentence, the subordinate clause is A. Is necessary B. This book is necessary C. For me D. For me to do my research Explanation In the sentence “This book is necessary for me to do my research,” the subordinate clause is D) For me to do my research.
Notes
Activity Questions 1.1
“The cafe was like a battleship stripped for action.” The figure of speech used here is ___. Drawing on the information from the sources discussing figures of speech:
Notes
Activity Questions 1.1
1. Below is a list of numbers: 22, -17, 47, -2000, 0, 1, 43, 1729, 6174, -63, 100, 32, -9. How many natural numbers are there in the given list? a) 6 b) 7 c) 8 d) 9 Solution Based on the sources, the set of natural numbers is denoted by N. This set includes 0, 1, 2, 3, 4, 5, and so on. The sources explicitly state that whenever they are talking about natural numbers, it always includes a 0, even though some books may not. Natural numbers are primarily used for counting.
Notes
Comprehensive Course on Sets and Functions
1. Numbers and Basic Operations Definition: Natural Numbers (ℕ) The set of counting numbers starting from 0. ℕ = {0, 1, 2, 3, 4, ...} Definition: Integers (ℤ) All positive, negative whole numbers, and zero. ℤ = {..., -3, -2, -1, 0, 1, 2, 3, ...} 1.1 Arithmetic Operations Definition: Basic Arithmetic Operations Addition (+): Combining two or more numbers into a single number. Subtraction (-): Finding the difference between two numbers. Multiplication (×): Repeated addition of the same number. Division (÷): Repeated subtraction or splitting into equal parts. Modulo (mod): The remainder when one number is divided by another. Example: Arithmetic Operations 1. 5 + 2 = 7 2. 9 - 4 = 5 3. 3 × 4 = 12 (adding 3 four times) 4. 18 ÷ 3 = 6 (dividing 18 into 3 equal parts) 5. 10 mod 3 = 1 (when 10 is divided by 3, the remainder is 1) Practice Problems: Arithmetic Operations Try These Problems:
Notes
Essential English Grammar Course
Essential English Grammar Course - Improved Layout & Examples This rewritten course is based on the structure and progression of “Essential Grammar in Use” (4th Edition by Raymond Murphy), but is reorganized for clarity, with enhanced explanations and more practical, modern examples. Each unit includes a concise explanation, clear tables, and sample sentences for real-life situations. Course Structure Part 1: Foundations Unit 1: The Verb “To Be” (am, is, are) Unit 2: Present Simple & Present Continuous Unit 3: Questions & Negatives Unit 4: Nouns, Pronouns, & Possessives Part 2: Tenses Unit 5: Past Simple & Past Continuous Unit 6: Present Perfect & Past Perfect Unit 7: Future Forms (will, going to, present continuous) Part 3: Expanding Sentences Unit 8: Modals (can, could, must, should, might) Unit 9: Articles (a/an, the) Unit 10: Countable & Uncountable Nouns Unit 11: Adjectives & Adverbs Part 4: Sentence Building Unit 12: Word Order & Questions Unit 13: Conjunctions & Clauses Unit 14: Prepositions Part 5: Practical Grammar Unit 15: Passive Voice Unit 16: Reported Speech Unit 17: Gerunds & Infinitives Unit 18: Phrasal Verbs Appendices Irregular Verbs List Spelling Rules Contractions Additional Practice Exercises Part 1: Foundations Unit 1: The Verb “To Be” (am, is, are) Explanation: “To be” is used to describe people, places, things, and feelings.
Notes
Figures of Speech Part - 1
Figures of speech are literary devices that help make language more impactful and impressive. They are used in both spoken and written communication to demonstrate command and control over the language, ultimately adding to your confidence. Here are some of the key figures of speech discussed in the sources: Simile ✨ What it is: A simile is a type of comparison between two completely unassociated things or ideas. How it works: It most commonly uses words like “like” or “as” to draw the comparison. It does not provide a literal interpretation; instead, it creates a vivid picture or emphasizes a quality. Examples: “Oh Oh my love is like a red red rose” 🌹 “I wandered lonely as a cloud” ☁️ “He is as modest as a hermit” 🧘 “A face as dull as lead” 😩 “Eyes as bright as blazing star” ⭐ Metaphor 🖼️
Notes
IIT Madras BS Descriptive Statistics
Certainly! Below is a detailed explanation of the key topics in the IIT Madras BS Descriptive Statistics PDF, presented with examples, questions, and step-by-step solutions in a clear and structured layout[1]. 1. Introduction to Statistics Statistics is the science of collecting, organizing, analyzing, interpreting, and presenting data. Key Concepts Population: All elements of interest (e.g., all houses in Tamil Nadu). Sample: A subset of the population (e.g., 1000 houses from Tamil Nadu). Descriptive Statistics: Summarizing and describing data. Inferential Statistics: Drawing conclusions about a population from sample data. Example: A teacher wants to know the average marks of all students in a school. She collects a sample of students and calculates their average. If she uses this to estimate the school average, she is using inferential statistics.
Programming
Python - IITM 🐍
Week 1 Lecture Notes 🗒️ PRINT 👨🏽💻 Numbers are treated as numbers only when put without apostrophe/speech marks Strings require either single or double quotes Uses only round brackets () Uses comma to separate strings/variables print("Hello world") print('Hello world', 'Hello mom', 'Hello nietzsche') print(10) VARIABLES 🔤 💡 Use well defined names for variables instead of a/b/c etc.
Programming
Python 3 Cheatsheet (Enhanced Edition) 🐍
# Sample code demonstrating key concepts def main(): # String formatting example name = "Alice" age = 30 print(f"{name} is {age} years old") # Alice is 30 years old if __name__ == "__main__": main() Python 3 Cheatsheet (Enhanced Edition)Core Syntax Essentials 1.1 Variables & Data Types
Programming
Python Course 🐍
# Example of a simple Python script demonstrating core concepts def main(): # Basic print statement print("Welcome to Python Programming!") # Variable declaration and input name = input("Enter your name: ") print(f"Hello, {name}!") if __name__ == "__main__": main() Python Programming Foundation Course 1. Core Syntax & Basic Operations 1.1 Print Statements & Variables