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

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Core Statistical Concepts and Methods

Classified in Mathematics

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Statistical Goals

  • Describe: Explain what's happening in the data (e.g., mean, mode, average, minimum, variation).
  • Explore: Understand how different variables relate to each other.
  • Draw Inference: Test hypotheses or theories to make generalizations. Important: Correlation doesn't equal causation.
  • Predict: Forecast future outcomes (e.g., weather networks).
  • Draw Causal Inference: Determine cause-and-effect relationships, which requires experiments.

Variables in Statistics

Variable Types

  1. Categorical (e.g., color, name, religion) vs. Numerical (Discrete: whole numbers OR Continuous: decimals, e.g., movie ranking).
    • Nominal: Categories with no inherent order.
    • Ordinal: Categories with a meaningful order.
    • Interval: Ordered, equal intervals, but zero is arbitrary
... Continue reading "Core Statistical Concepts and Methods" »

Determining Water Hardness: The EDTA Titration Method

Classified in Chemistry

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Determination of Water Hardness by EDTA Method

EDTA is the abbreviation for Ethylene Diamine Tetra Acetic acid.

Pure EDTA dissolves in water with great difficulty and in very small quantities. Conversely, its di-sodium salt dissolves quickly and completely. Hence, for common experimental purposes, the di-sodium derivative of EDTA is used.

EDTA is a hexadentate ligand. It binds metal ions present in water, such as $Ca^{+2}$ or $Mg^{+2}$, to form a highly stable chelate complex. These metal ions are bonded via oxygen or nitrogen atoms from the EDTA molecule. Therefore, this method is called complexometric titration.

Principle of the EDTA Method

The di-sodium salt of EDTA forms complexes with $Ca^{+2}$ and $Mg^{+2}$ as well as with many other metal... Continue reading "Determining Water Hardness: The EDTA Titration Method" »

Dominando la Gramática Inglesa Esencial

Classified in Spanish

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Dominando Verbos Frasales Esenciales

Los verbos frasales son combinaciones de un verbo y una preposición o adverbio, que juntos adquieren un significado diferente al de sus palabras individuales. Aquí tienes una lista de verbos frasales comunes con su significado en español:

  • Break up: Romper con alguien
  • Fall out: Caerse (o discutir con alguien)
  • Get on with: Llevarse bien con alguien
  • Get over: Recuperarse de un bache o superar algo
  • Get together: Reunirse
  • Make up: Maquillarse (o reconciliarse)
  • Stand up: Levantarse
  • Take after: Parecerse (mentalmente o en personalidad)
  • Dress up: Disfrazarse o vestirse elegantemente
  • Pay for: Pagar por algo
  • Put on: Ponerse (ropa, etc.)
  • Take off: Quitarse (ropa, etc.)
  • Try on: Probarse (ropa)
  • Break into: Entrar a la fuerza
  • Log
... Continue reading "Dominando la Gramática Inglesa Esencial" »

Mitosis vs Meiosis: Differences and Cytokinesis Mechanisms

Classified in Biology

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Mitosis and Meiosis Comparison

Similarities Between Mitosis and Meiosis

  • The sequence of changes in the nucleus and cytoplasm.
  • The presence of the stages of prophase, metaphase, anaphase, and telophase.
  • The spindle formation and the cycle of condensation of chromosomes.

Key Differences Between Mitosis and Meiosis

  • Mitosis occurs in somatic cells, while meiosis is restricted to germ cells.
  • In mitosis, each cycle of DNA replication is followed by one division. The resulting daughter cells are diploid (2n) and have the same amount of DNA as the parent cell.
  • In meiosis, one DNA replication cycle is followed by two divisions, resulting in four haploid (n) daughter cells, which contain half the DNA of the parent cell.
  • In mitosis, each chromosome behaves independently.
... Continue reading "Mitosis vs Meiosis: Differences and Cytokinesis Mechanisms" »

18th & 19th Century Spanish Literature: Styles & Trends

Classified in Latin

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Neoclassicism

Prose

Narrative prose displays manners in works like Diego Torres Villarroel's Calendars and Forecasts. José Francisco de Isla bridges manners and prose stories with his reformist preacher character in The History of the Famous Preacher, Friar Gerundio de Campazas, Alias Zotes. Essayists include Feijoo with Teatro crítico universal and Erudite Letters, and Jovellanos (a key figure of the Enlightenment) with Report on Agrarian Law and Luzán Poetics. Also notable are J. Cadalso's Scholarly Letters and his dialogue-based work, Moorish Nights.

Lyrical Poetry

Poetry becomes more individualistic, featuring Anacreontic poetry like Valdés' The Dove's Phillies.

Theater

Leandro Fernández de Moratín's comedies, including The Old Man and

... Continue reading "18th & 19th Century Spanish Literature: Styles & Trends" »

David Hume's Philosophy: Empiricism, Reason, and Human Nature

Classified in Philosophy and ethics

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Hume's Science of Man: Foundation and Purpose

David Hume defends the dependence of all sciences on the science of man, or the science of human nature. It is man who comprehends these sciences, which are his own creation, and it is man who must be studied. This Science of Man aims to guide society toward a world free of prejudice and religious bigotry, moving away from ancient and superstitious beliefs.

Critique of Superstition and Metaphysics

Hume, a profound rationalist, believes that rationalist superstition and metaphysics form the ideological basis of societal shortcomings. Religious intolerance, hypocrisy, and malice impede the progress, culture, and welfare of society. The Science of Man, Hume argues, intends to liberate humanity and dismantle... Continue reading "David Hume's Philosophy: Empiricism, Reason, and Human Nature" »

Mobile Phones & Spider-Goats: Comprehension & English Usage

Classified in Electronics

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Mobile Phones

Comprehension (4 points)

  1. 1) No, because dangerous effects have not been shown conclusively.
  2. 2) Because they used the phone while they were driving.
  1. 3) True… advanced features are packed into extremely light and tiny models (lines 5-6).
  2. 4) True… mobile phones can be a serious threat to health, for children in particular (line 7).
  3. 5) False… what for many people is a useful device can be a nuisance for others (line 11).
  4. 6) False. Some people even claim that… (lines 12-13).

Use of English (3 points)

  1. 7) Luxury (l.1)
  2. 8) Light (l. 6)
  3. 9) Sickness, illness, disease
  4. 10) Headache, backache, stomach-ache… toothache, heartache
  5. 11) She said: “We’ll go and get some food.”
    She said they/we would go and get some food.
  6. 12) I asked my father to
... Continue reading "Mobile Phones & Spider-Goats: Comprehension & English Usage" »

English Vocabulary Acquisition and Teaching Stages

Posted by Anonymous and classified in Electronics

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English Vocabulary Acquisition

How Children Learn Word Meaning

Children are always acquiring and building up their L1. They must find out which things can be packaged together under a label.

Knowing a Word: Types of Knowledge

Knowing a word involves different types of knowledge. The importance is how it is pronounced.

Factors Affecting Vocabulary Learning

  • Demonstrability: Can the meaning be easily shown? (e.g., car = transport)
  • Similarity: Is it similar to known words? (e.g., equal)
  • Brevity: Is it a short or long word?
  • Regularity of Form / Learning Load: Does it follow typical patterns? (e.g., bedroom)
  • Opportunism: Is the word relevant to the child's immediate situation?
  • Centres of Interest: Are words likely to be of relevance to the child's interests?
... Continue reading "English Vocabulary Acquisition and Teaching Stages" »

Master English Grammar: Reported Speech, Modals, Conditionals

Classified in English

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Reported Speech: Mixed Practice

Rewrite the sentences in reported speech. Use the reporting verb in brackets. Leave a space between each sentence.

  1. "I can't come to the party now," said Lucy. (apologise)
    Lucy apologised for not being able to come to the party then.

  2. "We went to the concert yesterday," said my brother. (say)
    My brother said they had gone to the concert the day before.

  3. "Will you help me with this project?" she asked. (ask)
    She asked me if I would help her with that project.

  4. "Where did you buy this jacket?" he asked me. (ask)
    He asked me where I had bought that jacket.

  5. "Don't touch that button!" the technician said. (warn)
    The technician warned me not to touch that button.

  6. "I forgot to do my homework," said Daniel. (admit)
    Daniel admitted

... Continue reading "Master English Grammar: Reported Speech, Modals, Conditionals" »

Microbiology Lab Essentials: Bacterial Growth, Metabolism & Identification

Posted by Anonymous and classified in Biology

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Microbiology Lab Practice Questions

What is the optimal temperature range for Bacillus stearothermophilus?

Answer: 55°C (a thermophile)

Which organism produces red pigment at 25°C?

Answer: Serratia marcescens

What does no pigment but visible turbidity in S. marcescens at 37°C suggest?

Answer: Growth occurred, but pigment production is temperature-sensitive.

What is the term for bacteria that grow best at cold temperatures but also at room temperature?

Answer: Psychrotroph (e.g., Pseudomonas fluorescens)

What color does E. coli appear on MacConkey agar?

Answer: Pink (lactose fermenter)

Which test detects mixed acid fermentation?

Answer: Methyl Red (MR) test

What does a black precipitate on HE agar indicate?

Answer: H2S production (e.g., Salmonella)

Which

... Continue reading "Microbiology Lab Essentials: Bacterial Growth, Metabolism & Identification" »