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

Phrases to Begin

• Para empezar (To begin with)
• En primer lugar (In the first place)
• Como punto de partida (As a point of departure)
• La idea principal de (The main idea of...)
• El propósito principal de (The main purpose of; the goal of)

Phrases to Connect Ideas/Arguments

• Para continuar (To continue)
• Por un lado (On the one hand)
• Por el otro lado; por otra parte; en cambio (On the other hand)
• Mientras tanto (Meanwhile)
• Durante (During)
• Además (In addition; also, moreover)
• También (Also; too)
• Entonces (Then)
• Luego (Then)
• Después de + infinitive (After)
• Mientras (While)
• Y (And)
• Pero (But)
• Sino (But; rather)
• Sino que (But; rather)
• Sin embargo (Nevertheless)
• Aunque (Even though; even if; although)
• A pesar de + infinitive (In spite of)
• En realidad (In fact, in reality,

Binary Search Tree (BST)

Binary search tree (BST) is a tree in which all nodes follow the below mentioned properties:

1. The left sub-tree of a node has a key less than or equal to its parent node's key.
2. The right sub-tree of a node has a key greater than or equal to its parent node's key.
3. Binary search tree (BST) divides all its sub-trees into two segments: left sub-tree and right sub-tree and can be defined as left_subtree (keys) ≤ node (key) ≤ right_subtree (keys).

Red-Black Tree

A red-black tree is a binary search tree in which each node is colored red or black. The root is black. The children of a red node are black. Every path from the root to leaf has the same number of black nodes and all leaves are black.

AVL Tree

Adelson, Velski & Landis

The Spanish Conquest of the Aztec Empire

Early Encounters and Exploration

In 1518, a disturbing report reached the Aztec capital of Tenochtitlán: white-faced men were approaching from the sea. King Moctezuma, filled with dismay, wondered if these strangers could be the returning god Quetzalcóatl.

These men were part of an expedition led by Juan de Grijalva, sent by Diego Velásquez, the governor of Cuba, to explore the coasts discovered by Francisco Hernández de Córdoba. Grijalva's expedition traded gold with the Aztecs, confirming the existence of a wealthy kingdom.

Hernán Cortés and the March to Tenochtitlán

Velásquez, eager to conquer this new land, chose Hernán Cortés to lead a third expedition. Cortés, a skilled soldier and strategist,...

-(management accounting) the application of principles of accounting and financial management to create, protect, preserve, and increase value so as to deliver that value to stakeholders of profit note for profit enterprises both public and private.

(balance sheet) about shows the financial position at a point in time as one accounting period ends and another one starts. The main elements of the balance sheets are assets, liabilities, and equity.

(budget) is a financial plan. It can be seen as a statement of financial effect expected from the resource conversion process that the business has planned.

(globalization) - it is an extension of internationalization in the sense that most aspects of the production or service are performed and integrated...

Key Vocabulary

anchored

anclado

bear

soportar

bet

apuesta

bribed

sobornado

broke free

me solté

bushes

arbustos

butler

mayordomo

cliffs

acantilados

climbed out of

salí por

crawled

gateé

crimes

delitos

damp

húmedo

dealing with

tratando con

dirt

tierra, barro

disguised as

disfrazado de

disturbed

molestado

electric torches

linternas

eyelids

párpados

faked

fingido

fence

valla

find out

averiguar

for me to be taking charge

que yo me encargara

fuses

mechas

get involved

implicar

got loose

se soltó

grab

agarrar

had missed

se les pasó mirar

handcart

carretilla

handcuffs

esposas

headquarters

cuartel central

hired

alquilamos

homeless

vagabundo

I was out of sight

me perdí de vista

innkeeper

posadero

lever

palanca

lied

mentí

might spread

podría extenderse

moorland

páramo

morgue

depósito de cadáveres

nail

clavo

ought to fit

Much Ado About Nothing: Shakespearean Techniques

In Much Ado About Nothing, the plot is built around false appearances and the confusion they cause. The writer tells us about a young couple's adventures and calamities, whose path to the altar heavily depends on their knowledge of reality. It is precisely the lack of awareness, provoked by fake appearances, that blocks the lovers' happiness. Generally, the most common onset of identity is done through masks and disguise.

The Play's Title

The title of this comedy contains an ironic suggestion. There is a homophonic pun that alerts us to this play's substantial concerns: in Shakespeare's English, the word “nothing” was pronounced the same as “noting” (meaning “to take note”). The play...

Fauxbourdon Techniques in Harmony

• A) Passing Interpolations

  These include:

  • Descending thirds progressions (IV6-ii6)
  • Descending fifths progressions (Haydn)
  • Sometimes descending fourths progressions (IV6-I6-ii6)

• B) Sorbet: Parallel First Inversion Triads

  In the key of G major, a passing connection from IV6 to I6 serves to break the cycle of recirculating harmonies. It's an extravagant way to connect IV6 to the ii6, but it leads to a normal cadence (ii6-I6/4-V-I). Make sure the parallel motion always leads to a recognizable destination (e.g., a strong dominant or a strong cadence). Think of fauxbourdon as a "thickened melody."

• C) I6 as a Neighbor to ii6

  Mozart's B-flat Piano Sonata ends with a ii6-I6-ii6-vii°6 progression. The I6 functions like a neighbor

Daily Routine

What time do you usually get up? What are the first things you do after you get up? What time do you start work? What do you usually do in the evening? What do you usually do at the weekend? How often do you meet your friends? How often do you watch TV? What programs do you watch? What is your favorite day? Why?

Shopping

Do you like going shopping? How often do you go shopping? How often do you buy clothes/food, etc.? How often do you go to the supermarket? Which supermarket do you like? Why? How do you usually pay (cash)? Do you prefer small shops or big shopping centers? Why? Do you like shopping on Saturday? Why? Do you usually go shopping alone? When did you last go shopping? What did you buy?

Night Out

Did you go out last Friday/...

Prepositions of Time: IN, ON, AT

• IN: *in the afternoon*, *in December*, *in summer*, *in 1998*
• ON: *on Friday*, *on the 12th of July*, *on my birthday*
• AT: *at 3 o'clock*, *at midday*, *at night*, *at New Year's*

Family Vocabulary & Possessive Nouns

• Family Members:
  • Cousins (primo/a)
  • Aunts (tía)
  • Uncles (tío)
  • Nieces (sobrina)
  • Nephews (sobrino)
• Saxon Genitive (Possessive 's):
  • *Charles's brother*
  • *The brothers' car*

Possessive Adjectives & Demonstratives

• Possessive Adjectives:
  • *His* (él)
  • *Her* (ella)
  • *It's* (it is) vs. *Its* (possessive)
• Demonstratives:
  • *This* (cerca, singular)
  • *That* (lejos, singular)
  • *These* (cerca, plural)
  • *Those* (lejos, plural)

Articles and Plural Noun Rules

• Articles:
  • *A* (singular, before consonant sounds)
  • *An* (singular, before vowel sounds:

The Roman Senate

The Senate was an institution born in the monarchic period. It was composed of 300 patricians with life tenure. This body confirmed laws and managed matters relating to external relations, religious affairs, and territorial and military concerns. Senators were responsible for overseeing tax collection and the supervision of the consuls.

Magistrates and Executive Power

Magistrate offices were occupied by two people (collegiality), providing the right to veto each other to prevent the abuse of power. They were elected by the Assemblies and held two important powers: the power of governance (the ability to enforce laws) and the imperium (the authority to command the army and collect taxes).

Key Magistrate Roles

• Consuls: They could