Notes, summaries, assignments, exams, and problems for Other courses

Frames of Reference

Inertial frame of reference – A frame at rest or moving with constant velocity where Newton’s First Law of Motion holds true and no extra forces are needed.

Non-inertial frame of reference – A frame that is accelerating or rotating where Newton’s laws need fictitious (pseudo) forces to explain motion.

Radiation Laws and Hypotheses

Wien’s displacement law – It states that the wavelength at which a body emits maximum radiation is inversely proportional to its temperature. λmax ∝ 1/T and λmaxT = Constant.

Stefan’s law – It states that the total energy radiated per unit surface area of a black body per unit time is directly proportional to the fourth power of its absolute temperature.

de Broglie hypothesis –... Continue reading "Principles of Modern Physics: Relativity and Quantum Theory" »

Our Cosmic Address and the Scale of Space

Understanding our place in the universe begins with our Cosmic Address:

• Universe
• Filaments and Voids
• Local Supercluster
• Local Group
• Milky Way Galaxy
• Solar System
• Earth
• Asia

Defining Celestial Objects

• Planet: A rocky, icy, or gaseous object that orbits a star, shining by reflected light. (d_Earth ≈ 0.009d_Sun; d_Jupiter ≈ 0.1d_Sun)
• Satellite: A man-made or natural object that orbits a planet.
• Asteroid: A relatively small and rocky object that orbits a star, often non-spherical in shape.
• Comet: A relatively small and icy object that orbits a star. Comets usually have two tails: a plasma tail and a dust tail.
• Solar System: A star and all the material that orbits it, including its planets and moons.
• Nebula: An interstellar

She said that she could finish her report then
Maria asked Peter If he had eaten the chocolates
My teacher advised me to spend the summer in England
My mother told me not to forget to phone the next day
The police officer wanted to know if anyone had noticed anything unusual
The waitress asked me if I was waiting to be served
The teacher wanted to know If we were pleased it was nearly…
Bob asked me If I left like going for a walk
John suggested that we should go for a swim
I think the children had better go to bed now
The problem we came up against was a serious one
Being rich has nothing to do with being happy
I am looking forward to seeing the sights in London
The tourist trade has picked up noticeably since last month
What is the difference between... Continue reading "Who did George try to find out what wanted" »

Digital Entrepreneurship

Digital entrepreneurship refers to the process of creating a business on the internet and selling products online. This model eliminates the need for physical business operations. Examples include online courses, e-commerce, blogs, and YouTube channels.

Search Engine Optimization (SEO)

SEO is the process of increasing a website's visibility on the internet when users search for products or services related to the business on Google or other search engines.

Business Planning

A business plan is a document that describes the company's objectives, operations, marketing goals, and financial projections. Key components include:

• Executive Summary: A brief explanation of the business idea.
• Business Description and Structure: Details

Core Concepts of Accrual Accounting

Accrual accounting dictates that we record revenue when we have actually delivered the product or service—not when the customer pays.

Fundamental Accounting Equations

• Balance Sheet: Assets = Liabilities + Equity
• Income Statement: Revenue - Expenses = Net Income

The income statement does not include dividends. A consolidated balance sheet represents the total of the parent company and all its subsidiaries.

Financial vs. Tax Reporting

Firms must maintain at least two sets of books:

• Financial Reporting (GAAP): For investors and external users.
• Tax Reporting (Tax Code): For determining taxable income.

Key Accounting Entries

Accounts Receivable (Asset)

Accounts receivable increase and retained earnings increase (revenue)... Continue reading "Essential Principles of Accrual Accounting and Financial Statements" »

1. Resolution

Resolution refers to the number of pixels used to display an image on a screen. It determines the clarity and detail of the image.

• It is usually written as width × height (e.g., 1920 × 1080).
• The higher the resolution, the sharper and clearer the image.
• Lower resolution images appear blurry or pixelated.

Example: If a display has a resolution of 1024 × 768, it means the screen contains 1024 pixels horizontally and 768 pixels vertically.

2. Aspect Ratio

Aspect Ratio is the ratio between the width and height of a display screen or image. It defines the shape of the display area and is expressed as width : height.

Common Aspect Ratios:

• 4 : 3 – Old computer monitors and televisions
• 16 : 9 – Modern widescreen monitors and TVs
• 21 : 9 –

Functional Units of a Computer

A computer system is logically divided into several functional units that work together to perform data processing. These units accept input, process the data, store information, and produce output.

Main Functional Units

1. Input Unit

• Accepts raw data and instructions from the user and enters them into the computer.
• Converts the input data into machine-readable form (binary) for processing.

Examples: Keyboard, Mouse, Scanner, Microphone.

2. Output Unit

• Displays the processed results to the user.
• Converts the machine results into human-readable form.

Examples: Monitor, Printer, Speakers.

3. Memory Unit

• Stores data, instructions, and intermediate results required for processing.
• Supplies data to the CPU whenever needed.

Types

Robinson Crusoe: A Study of Individualism

This fragment belongs to the first chapter of Robinson Crusoe (1719), written by Daniel Defoe. It is considered one of the first modern English novels. The text is a prose narrative, written in the form of an autobiographical account, which gives it realism and credibility.

The novel was published in the early 18th century, during a period of commercial expansion, colonial growth, and the rise of the middle class in England. Although the story begins in 1632, it reflects the values of Defoe’s own time:

• Individualism
• Economic ambition
• Social mobility

These ideas are connected to the Enlightenment, which promoted reason, self-improvement, and personal responsibility. In this fragment, Crusoe introduces his... Continue reading "Literary and Historical Analysis: Defoe and Jefferson" »

John Locke: The Foundations of Civil Government

This text is an extract from Second Treatise of Civil Government (1690) by John Locke. It is a political and philosophical work in which Locke explains the origin and purpose of political society and government. He defends the idea that government is based on natural rights and the consent of the people, rejecting absolutism and the divine right of kings.

Historical Context and Political Theory

The historical context is late 17th-century England, specifically the period surrounding the Glorious Revolution, when Parliament limited the power of the monarchy. Locke’s ideas are central to the Enlightenment and support constitutional government.

The Transition from the State of Nature

In this fragment,... Continue reading "John Locke and Alexander Pope: Enlightenment Political and Literary Thought" »

The Magic of Halloween Traditions

Halloween is celebrated every year on the night of October 31. A long time ago, it started as an ancient festival to mark the end of the harvest. Today, it has changed, and it is mostly about having fun with scary things and imagination.

Spooky Decorations and Trick-or-Treating

People decorate their homes with orange pumpkins, spider webs, and skeletons to look like haunted houses. The most famous tradition is called "trick-or-treating." Children dress up in costumes like ghosts, witches, or superheroes and go to their neighbors' houses to ask for candy.

Adult Celebrations and Jack-o'-lanterns

Adults also enjoy Halloween by going to costume parties or watching scary movies with friends. Everything is designed to... Continue reading "Holiday Traditions: Celebrating Halloween and Christmas" »