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

Vector Determination by Length and Angle

V = <||V|| Cosθ, ||V|| Sinθ> ---> ||V||Cosθi + ||V||Sinθj

Example:

a) Find the vector of length 2 that makes an angle of π/4 with the positive x-axis.

b) Find the angle that the vector V = -₃ i + j makes with the positive x-axis.

a) <||V||Cosθ , ||V||Sinθ> = <2cos45, 2sin45> ---> <₂, ₂>

b) Normalize... ||V|| = _{(-3)² + 1²} = ₄ = 2 -----> V/||V|| = <-_3/2 , 1/2> = <cosθ, sinθ> ----> cosθ = -_3/2, sinθ = 1/2 ---> θ = 5π/6

Dot Product

If U = <U₁, U₂> and V = <V₁, V₂>, then the dot product is U•V = U₁V₁ + U₂V₂.

Example:

a) U = <3, 5>, V = <-1, 2> -----> U•V = (3)(-1) + (5)(2) ---> U•V = -3 + 10 --> U•V = 7

b) U = &... Continue reading "Vector Operations, Dot and Cross Products, and Lines" »

Day 2 - Sunday

Via Ferrata "Teresina K4" - Early Morning

For climbing enthusiasts seeking a challenge, the Via Ferrata "Teresina K4" offers an unforgettable experience. This itinerary combines vertical and horizontal sections, equipped with diverse materials to safely navigate areas inaccessible to hikers or those unaccustomed to climbing.

A via ferrata in Montserrat is known for its difficulty, so preparation is key for this exciting activity. The "Teresina" is a classic in Montserrat, and it was the first Spanish via ferrata, opened in 1993.

This K4 ferrata is comprehensive, with the difficulty increasing in the second half of the route, culminating in a final chimney. The route is 8km long, with an estimated time of 2.5 hours and two return... Continue reading "Montserrat Adventure: Via Ferrata & Cave Exploration" »

MasterChef starts in July 1990 and was created by Franc Roddam. In this TV program, contestants need to cook different types of food because later, a tribunal will judge the results. The winner of the program will receive a substantial cash prize.

At the start, we meet the participants, their jobs, and their lives. Depending on the day, they have different types of ingredients to work with. As the program progresses, we can see contestants cooking various dishes within a limited time frame. If they don't finish on time, they are disqualified. When the time is up, the chefs present their cooked dishes to a tribunal, who manage the results.

Currently, MasterChef has other formats such as MasterChef: The Professionals for professional working chefs,... Continue reading "MasterChef: A Review of the Famous Cooking Program" »

Values and Modernization – Conceptual Framework Modernization theory builds on a long tradition stressing the Potential and extent of human progress. Generalized expectation that socio-economic modernization Effects value change. Enlightment: Science and reason set individuals free Marx: Technological change and capitalism makes Communism possible Smith: Technology is a source of wellbeing Postwar theorists: Some values favor economic progress While other ones not (e.G. Parsons) Nevertheless, classic modernization theory underspecifies (a) Mechanims and (b) types of values brought by modernization. Inglehart and central social theorists consider that economic Change is the main source of value change in modern societies. Values differ much... Continue reading "Human relation theory was an improvement scientific management theory of organigation" »

The novel Oroonoko: A Critical Analysis

The novel Oroonoko, written by Aphra Behn (1610-1689), is one of the most important works of its time. Behn tells the story of Oroonoko, the prince of Coramantien in Africa, who becomes a slave after his woman, Imoinda, is captured. Behn, who was against slavery, contributed to the beginning of the novel in England. This essay aims to discuss the signs of racism in the novel, where Behn, despite her anti-slavery stance, makes some racist comments that reflect the prevailing attitudes of the time.

Throughout the novel, Behn idealizes Oroonoko, using a literary technique known as the idealization of the hero. However, she also makes racist comments, such as describing Oroonoko's nose as 'rising and Roman,... Continue reading "Racism in Aphra Behn's Oroonoko: A Critical Analysis" »

History is a term that relates to past events as well as the discovery, collection, organization, and presentation of information about these events. The term includes cosmic, geologic, and organic history, but it often generically implies human history. History can also refer to the academic discipline which uses a narrative to examine and analyze a sequence of past events and objectively determine the patterns of cause and effect that determine them.

Historiography

Historiography is the writing of history, especially the writing of history based on the critical examination of sources, the selection of particular details from authentic materials in those sources, and the synthesis of those details into a narrative that stands the test of critical

Advantages and Disadvantages of Ukraine Joining the European Union and NATO

NATO

Advantages:

1. Improvement of living standards; countries who join NATO have an opportunity to defend their national interests.
2. Modernization of armed forces based on new technology.
3. Ukraine could achieve a more active part in processes of decision-making concerning the interests of Euro-Atlantic security.
4. Ukraine joining NATO will strengthen political independence, give them protection from external interference, and contribute to the country’s attractiveness in the eyes of international investors.

Disadvantages:

1. Large annual membership contributions.
2. Increase in defense spending.
3. Obligation to provide assistance to other states in the event of an armed attack.
4. Changes to

During the last decade, we can see different examples in which values and ethics have been ignored in the financial world.

The risky decisions and lack of values are principal causes of the crisis according to the Larrosiere Report. The lack of values due to wrong incentives of the governors led to a wrong price of the risk and an increase in leverage. There was also a complete lack of transparency.

The increase of the market of derivatives also increased the 'appetite for risk' and investors do not seem to worry about the danger of these decisions or be cheated about them.

The US Congress Report, which was created to examine the collapse of the financial system, concluded that there were big failures in supervision, corporate governance, and... Continue reading "Finance and Ethics: Examining the Impact of Values on the Financial World" »

What do the letters TPR stand for? Who invented TPR? How does the inventor see L1 and L2 learning? What are the characteristics?

Total physical response

By a professor of psychology, at San José State University, California. James Asher.

Asher sees first and second language learning as parallel processes.

Characteristics:

• TPR required initial attention to meaning rather than to form.
• Grammar is taught inductively.
• Directions are given by the teacher in the target language.
• A fix number of items are introduced at one time. According to Asher, It is possible for pupils to learn between 12-36 new items in one hour.
• Body movements are a powerful mediator for understanding organisation and storage or linguistic input.
• Although the imperative is the main

Problem solving group:

Four to seven people who work together to complete a specific task or solve a particular problem

Responsibility of group members:

Be committed to the group goal, keep discussions on track, complete individual assignments on time, encourage input from all members, manage conflict among members

Conflict:

Disagreement or clash among ideas, principles, or people

Groupthink:

When group members accept information and ideas without subjecting them to critical analysis

Five common conflict management styles

Withdrawing: A conflict management style that involves physically or psychologically removing yourself from the conflict

Accommodating: A conflict management style that involves accepting others' ideas while neglecting your own

Forcing: