Notes, summaries, assignments, exams, and problems for Primary education

Irregular Verb Conjugations

A Quick Reference

Here's a handy reference for common irregular verbs in English. Remember that irregular verbs don't follow standard patterns for past tense and past participle forms.

Word Order in English and Spanish

In English, we find:

• DETERMINER + adjective + noun
• Determiner + noun + adjective
• Adjective as subject complement
• Adjective as object complement (e.g., He made his wife happy)

In Spanish and English, the attributive function shows the following word orders:

• Spanish: Noun + adjective, Adjective + noun
• English: Adjective + noun, Noun + adjective

In English, there are several cases in which the position of adjectives is usually postnominal:

Indefinite pronouns ending in -body, -one, -thing, -where can be modified only postpositively.

Textual Equivalence

Aim: To explore how word order controls information flow and other strategies at the text level.

Cohesive Devices

Cohesive devices include reference, substitution, ellipsis,... Continue reading "Word Order, Cohesion, and Conjunction in English and Spanish" »

England

England - London, Oxford, Liverpool, plains and moors, 60 million dense, 36 countries, industrialized since 18th century. Biggest growth in computing and banking. Many cathedrals and churches, small villages, old market towns, long coastline. Lake District inspired romantic poems.

Scotland

Scotland - Full of traditions, 5 million inhabitants. Part of GB since 1707 but still remains independent. Hills, lakes (lochs), fast-flowing rivers, deep valleys. Big cities like Glasgow and Edinburgh are international centers of music, festival of music and drama, engineering, printing, legal and educational systems.

Wales

Wales - Mountainous country. English monarch has the title Prince of Wales. Long rivers, wide lakes, high hills. Highest peak is... Continue reading "The United Kingdom: England, Scotland, Wales, and Northern Ireland" »

1. Fascism and Nazism

1.1 The Fascist Regime in Italy

1921: Mussolini forms the National Fascist Party.

1922: With the support of King Victor Emmanuel III, Mussolini becomes prime minister.

1925: Mussolini establishes a dictatorship.

• Bans other political parties and persecutes opponents.
• Implements public works programs to reduce unemployment.
• Expands Italy's colonial empire by invading Abyssinia in 1935.

1.2 Nazi Germany

1920s: Hitler becomes leader of the Nazi Party.

1934: Hitler establishes the Third Reich.

• Bans other political parties and trade unions.
• Creates the Gestapo to eliminate opposition.
• Implements public works programs to address unemployment.
• Pursues an expansionist foreign policy to regain lost territory.
• Promotes the idea of German racial

Understanding Disability Insurance

Before Purchasing Disability Insurance

• Review your employer’s plan.
• Determine if your union or professional organization pays disability benefits.

How Much Disability Coverage Do You Need?

Estimated required disability payments can be calculated as:

(Total monthly expenses × 120%) – (Non-wage reliable household income)

Group vs. Individual Disability Plans

• Group disability rates are not always the most economical because higher-risk and lower-risk individuals are grouped together in the plan.
• Lower-risk individuals can benefit from an individual plan because they may receive a lower premium.
• Higher-risk individuals may be able to obtain coverage through a group plan that they could not obtain with an individual

1) A wave has the form

When x = 0, the wavelength is

By applying continuity conditions at x = 0, find the amplitude A_x>0 (in terms of A) and phase Φ of the wave in the region x > 0. Use any variable or symbol stated above as necessary.

2) An electron is trapped in an infinite well of width L = 1.87nm. What are the three longest wavelengths permitted for the electron's de Broglie waves?

The wave function must be zero everywhere the potential is infinite. So the wave function is zero outside the well. Since the wave function must be continuous, the wave function inside the well must go to zero at the edges of the well. Thus, only certain discrete wavelengths are allowed.

3) A particle is described by the wave function ψ(x) = b(a² - x²) for