Notes, summaries, assignments, exams, and problems for Other foreign languages

Essential Phrases for Professional Communication

VOCABULARY

TYPES OF FAMILIES

• The Extended Family: This family is composed of parents, aunts, uncles, grandparents, and other family members who live in the same household.
• The Stepfamily: In this type of family, also known as a blended family, the children are not biologically related to one of the parents. The parents have a new partner or spouse due to divorce or death.
• The Single-Parent Family: Also known as a lone-parent family, it is made up of one parent who is raising one or more children by him or herself.
• The Childless Family: This family includes a husband and wife but doesn't include children.
• The Nuclear Family: This is the traditional type of family, which consists of two parents and an only child or siblings. The parents are usually

Money Idioms

• made a fortune
• tighten your belt
• hard up
• cost an arm and a leg
• break the bank
• make a killing
• money to burn
• bread and butter
• pour money down the drain
• bring home the bacon
• live from hand to mouth
• from rags to riches
• keep the wolf from the door

Phrasal Verbs

• pay off
• rip off
• run up
• pay back
• splash out
• put aside
• put down

Get

• get it
• get around to
• get into
• get out of
• get something out of
• get over
• get past
• get back to (someone)
• get together
• get acquainted with
• get to the point
• get ready
• get away (with)

Space

• asteroid
• orbit
• comet
• planets
• constellation
• rings
• crater
• solar system
• eclipse
• star
• galaxy
• sun
• meteor
• meteorite
• Milky Way
• moon
• telescope
• astronaut
• spacecraft
• rocket
• space probe
• lunar module
• UFO

Conditionals

• 0 conditional: siempre sucede 'pres.s+pres.s'
• 1 conditional: posible situación en el futuro

Unit 8

Determiners and Pronouns

• In one respect, the older games and the modern games are similar, but they are very different in another.
• Many modern games engage the player both emotionally and intellectually.
• It's no longer black and white - but every shade of grey.
• Parents and teachers both seem to overlook something important about the gaming industry.
• All
• Some
• Much
• No
• Each
• Very few
• Most
• Several
• Very little
• A lot of
• No
• None
• An awful lot (una cantidad muy grande)
• Precious little
• Second to none (Insuperable, el mejor)
• Good few (e.g., "unas buenas x horas")
• Make the most of (Aprovechar)
• Either way (De todos modos)
• All too often (Muy seguido)
• One by one (Uno x uno)
• Each and every one (Cada uno)

Vocabulary: Amount

• Small discount
• Extra charge
• Full refund
• Great deal
• High cost
• Large

Enola Holmes: A Captivating Mystery Film

The film Enola Holmes, based on the book series by Nancy Springer and directed by Harry Bradbeer, introduces us to the spirited younger sister of the renowned Sherlock Holmes. The main characters include Enola Holmes, the enigmatic Marquis of Tewkesbury, and the famous detective Sherlock Holmes himself.

Setting the Scene: Victorian England

The story unfolds in late 19th-century Great Britain. Enola lives a secluded life in the countryside with her unconventional mother, who has diligently taught her a unique set of skills and knowledge, preparing her for an independent future.

The Disappearance and Enola's Quest

On the morning of her sixteenth birthday, Enola awakens to find her mother has mysteriously vanished....

Essential English and Catalan Phrases

Household and Daily Life

• Do something out of love (without getting anything in return): Hacer alguna cosa por amor al arte
• Chores: Tasques
• Household chores/jobs: Tasques domèstiques
• How kind: Qué adorable (mono)
• Businesslike manner: Hombre de negocios (hacer negocios)
• It's worth it: Vale la pena
• It's worth five pounds: Vale 5 libras
• Grumpily: Mal humor
• Accuse somebody of doing something: Acusar algú d'alguna cosa
• Windscreen: Parabrisas
• Traffic lights: Semáforo
• At least: Al menos
• Save money: Estalviar diners

Family and Relationships

• Family values: Valores de la familia
• A single working mum: Madre trabajadora soltera
• Do the washing: Lavar la ropa
• Do the washing-up: Lavar los platos
• Big age gap: Diferencia d'edad
• Babysitting:

Mastering Formal Letters and Academic Essays

Formal Letter Structure and Etiquette

Formal letters require specific conventions for addressing and closing:

• Salutation: Begin with Dear Sir/Madam (if the recipient's name is unknown) or Dear Mr./Ms. [Surname] (if the name is known).
• Closing:
  • Use Yours faithfully if you started with Dear Sir/Madam.
  • Use Yours sincerely if you started with Dear Mr./Ms. [Surname].
• Signature: Your name should follow your signature.
• Paragraphing: Use separate paragraphs to state your purpose, provide details, and conclude.
• Opening: Clearly state the reason for writing the letter immediately.

Formal Letter Examples: Job Applications

Use these phrases when applying for a position:

• "I was interested in the advertisement in [newspaper/

Unit 8: Modal Verbs

Modals of Ability

• Can, Could, Be Able To - Express ability

Modals of Permission

• Can, Be Allowed To, Could - Express permission

Modals of Advice

• Should, Ought To - Give advice and make recommendations
• Had Better - Give advice, express intentions, and make warnings

Modals of Necessity, Obligation, and Prohibition

• Must - Express obligation
• Mustn't - Express prohibition
• Have To - Express obligation
• Don't Have To - Express no obligation
• Needn't - Express no obligation

Modals of Possibility and Certainty

• May/May Not/Might/Might Not/Could - Express possibility (present and future)
• Can't - Express that something seems impossible
• Must - Express certainty that something is true

Modals + Perfect Infinitive

• Might/May/Could + Have + Past Participle - Express

Probability Concepts

• Union of Events: P(A∪B) = P(A) + P(B) - P(A∩B)
• Complement of an Event: P(A^c) = 1 - P(A)
• Intersection of B and Complement of A: P(B∩A^c) = P(B) - P(A∩B)
• Conditional Probability: P(B|A) = P(A∩B) / P(A)
• Intersection of Complements: P(A^c∩B^c) = 1 - P(A∪B)
• Mutually Exclusive Events: P(A∩B) = 0
• Independent Events: P(A∩B) = P(A)·P(B)

Binomial Distribution Parameters

• Mean (μ): μ = n·p
• Standard Deviation (σ): σ = √(n·p·q)

Binomial Distribution

Notation: B(n, p)

Probability Mass Function: P(X=a) = (ⁿ_a) p^a q^n-a

Where:

• n = number of trials
• p = probability of success
• q = complement of p (q = 1-p)

Normal Distribution

Notation: X ∼ N(μ, σ)

Important Probabilities:

• P(Z < a) or P(Z > a) can be found using a standard normal

Essential Vocabulary and Phrases

Financial and Personal Well-being

• Be well-off: To be in a good financial situation.
• Make ends meet: To have just enough money to cover expenses.
• Live from hand to mouth: To have barely enough money to survive.
• On the house: Offered for free, paid for by the establishment.
• Take pleasure in: To find enjoyment in something.
• Beyond my reach: Unattainable or too expensive.
• To date: Up until the present time.

Financial Terms

• Inherited: Received property or money after someone's death.
• Property: Real estate or possessions owned by someone.
• Bargain: Something bought at a lower price than usual.
• Refund: An amount of money returned.
• Borrowing: The act of taking a loan.
• Amount: A quantity of something, typically money.
• Receipt: A written