Notes, summaries, assignments, exams, and problems for University

The Rise of Mesopotamian Civilization

On the banks of the Tigris and Euphrates rivers, the main urban settlements that were to play a leading role in the three millennia of Mesopotamian history emerged. The periodic overflowing of their banks irrigated and enriched the surrounding land, allowing intensive agricultural exploitation. This favored the appearance of stable settlements and their development. Cities such as Uruk, Ur, Lagash, Assur, Mari, and Babylon, among many others, arose, governed independently from a temple-palace.

Mesopotamian Society and Governance

The temple-palace organized the economy and held the political and military monopoly, as it was where the production and surplus from their economic activities were stored. Society... Continue reading "Mesopotamian Civilization: Society, Economy, Religion" »

C Programming Examples

Here are several C programming examples:

Vector Operations

#include <stdio.h>

void leVetor (int v [] , int tam );
int prodEscalar (int v1 [] , int v2 [] , int tam );

int main (void) {
    int v1 [ DIM ], int v2 [ DIM ];
    int i;
    int prod ;

    leVetor (v1 , DIM );
    leVetor (v2 , DIM );
    prod = prodEscalar (v1 , v2 , DIM );
    printf ("%d\n", prod );
    return 0;
}

void leVetor (int v [] , int tam ) {
    /* Completar */
}

int prodEscalar (int v1 [] , int v2 [] , int tam ) {
    /* Completar */
}

Random Number Generation

#include <stdio.h>
#include <time.h>
#include <stdlib.h>

#define VEZES 10

int main (void) {
    int i , j , k;
    double r;

    srand ( time ( NULL )); /* inicializa

... Continue reading "C Programming Examples: Code Snippets and Explanations" »

The seismic waves produced by the detonation of an explosive charge or any other system are transmitted through the Earth in the form of vibrations or waves that travel at different speeds. These speeds are influenced by several factors, including lithology, depth, porosity of the material, compaction, lithification, and fluid content, among others. Furthermore, these speeds depend on the elastic modulus and density. These parameters are essential for velocity analysis in the interpretation of seismic data. Below is a table showing the propagation speeds of seismic waves; these values specifically refer to longitudinal waves (P-waves).

Material	Velocity (V) [m/s]
Weathering layer	300–900
Modern alluvium	350–1,500
Clays	1,000–2,000
Marls	1,800–3,

... Continue reading "Seismic Wave Velocity in Various Rock Types" »

Theory of Indifference Curves

Developed by Prof. Thomas S. Alvarez

ECONOMICS AND INDUSTRIAL ORGANIZATION I

Indifference Curves

The table below shows points in four different indifference curves for a consumer.
(a) Draw the indifference curves I, II, III, and IV on the same set of axes.
(b) What are indifference curves?

I II III IV
Qx Qy Qx Qy Qx Qy Qx Qy
2 13 3 12 5 12 7 12
3 6 4 8 5.5 9 8 9
4 4.5 5 6.3 6.3 8.3 9 7
5 3.5 6 5 7 7 10 6.3
6 3 7 4.4 8 6 11 5.7
7 2.7 8 4 9 5.4 12 5.3

(a)

(b) Indifference curves graphically display the tastes and preferences of consumers (in the analysis of utility, the total utility curve introduced consumer tastes). The consumer is indifferent to all the various combinations of X and Y on the same indifference curve... Continue reading "Indifference Curves, Budget Lines, and Consumer Equilibrium" »

Understanding Adverbial Clauses

Clauses of Time

They are often introduced by subordinators such as after, before, since, until, when, while, as soon as, and once.

Example: When I first met you, you were still studying.

Clauses of Place

They are introduced by where or wherever.

Example: They always went for their holidays wherever they could afford to go.

Clauses of Condition and Concession

This category includes two related types:

• Conditional Clauses: These express the dependence of one set of circumstances on another.

Example: If you are late, I will have gone away.

Concessive Clauses: These imply a contrast between two circumstances; the main clause is surprising in light of the subordinate one.

Example: Although I was late, she waited for me.

Specific

... Continue reading "Mastering Adverbial Clauses: Types, Subordinators, and Usage" »

Fruits and Vegetables

Fruits: Grape, strawberry, pineapple, apple, banana, melon, orange, pear, avocado.

Vegetables: Pea, carrot, onion, pepper, tomato, cucumber, potato.

Singular and Plural Forms

Use a before consonants and an before vowels.

• a: Cucumber, pineapple, grape, pea, potato, banana, melon, pear, strawberry, carrot, pepper, tomato.
• an: Apple, orange, avocado, onion.

Plural Nouns

• Pepper → Peppers
• Strawberry → Strawberries
• Tomato → Tomatoes
• Onion → Onions
• Carrot → Carrots
• Pineapple → Pineapples
• Avocado → Avocados
• Grape → Grapes
• Melon → Melons
• Pea → Peas
• Pear → Pears
• Apple → Apples
• Banana → Bananas
• Orange → Oranges
• Potato → Potatoes
• Cucumber → Cucumbers

Calendar and Dates

Months of the Year

There are 12 months in a year.

• Which month

... Continue reading "English Vocabulary: Fruits, Vegetables, Dates, and Travel" »

Phonetic vs. Phonological Perspectives

Looking at syllables from a phonetic point of view is different from the phonological perspective. Phonetically, syllables are described according to how they are produced and how they sound.

A syllable normally has a central part, which has little or no obstruction to the airflow and sounds louder. This central part is usually a vowel. Before and after this centre (that is, at the beginning and end of the syllable), there is more obstruction to the airflow and the sounds are usually less loud.

The Articulatory Approach

One phonetic approach tries to define syllables according to the articulatory effort needed to produce them. The psychologist R. H. Stetson suggested that syllables are related to chest pulses,... Continue reading "Phonetic Analysis of Syllable Structure and Division" »

Data Warehouse

A Data Warehouse (DW) is a centralized, integrated repository designed for analysis rather than transaction processing. It consolidates data from multiple OLTP systems to support reporting, dashboards, and advanced analytics, serving as a single source of truth for strategic decision support.

Key Properties

The data is curated to be subject-oriented, integrated, time-variant, and non-volatile, ensuring data quality and consistency. Unlike OLTP, the DW is built for read-heavy analytics and historical trends, providing the governance needed for managers to trust the KPIs.

Process Context

Data flows via ETL (Extract-Transform-Load) into the DW, typically in scheduled batches (e.g., nightly). This process standardizes and cleanses data,... Continue reading "Data Warehousing and Business Intelligence Essentials" »

Unit 7: Civil War and Reconstruction

• Causes: Sectional tension over slavery; Popular Sovereignty (local voting on slavery) led to "Bleeding Kansas."
• John Brown: Radical abolitionist; the 1859 Harpers Ferry raid signaled imminent war.
• Abraham Lincoln: Won the 1860 election on a "Free Soil" platform, triggering Southern secession.
• The War: Shifted from "preserving the Union" to "abolition" after the Emancipation Proclamation (1863).
• Turning Point: Gettysburg (1863); Lincoln’s Gettysburg Address defined the "new birth of freedom."
• Reconstruction Amendments: 13th (ends slavery), 14th (citizenship/equal protection), and 15th (Black male suffrage).
• Conflict: President Johnson (lenient) vs. Radical Republicans (strict/Military Reconstruction).

Unit 8: Jim

... Continue reading "Key Eras in American History: Civil War to World War II" »

Finding the Basis of a Row Space

The easiest way to find the basis of a row space is to reduce matrix A to Reduced Row Echelon Form (RREF). The nonzero row vectors of R (which contain the leading 1s, or pivots) form a basis for row(A).

Finding the Basis of the Kernel

The following four steps outline the most effective method for finding a basis for null(A):

1. Reduce A to RREF (R): Find the Reduced Row Echelon Form (R) of the matrix A.
2. Solve the Homogeneous System: Use the RREF, R, to solve the equivalent homogeneous system Rx=0.
3. Identify and Parameterize Variables:
   • Identify the leading variables (those corresponding to columns containing a leading 1 or pivot in the RREF) and the free variables.
   • Solve for the leading variables in terms of the free variables.

... Continue reading "Linear Algebra: Row Space, Null Space, Determinants, and Gram-Schmidt" »