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## 1. General Mathematics

### 1.1. Functions

1.1.1.1. y = 3x^2 + x – 2

1.1.2. Rational

1.1.2.1. x + 6 = 7/x

1.1.3. Inverse

1.1.3.1. f^-1(x) = x/3 + x/2

1.1.4. Exponential

1.1.4.1. 5^(2x -4) = 3^3

1.1.5. Logarithmic

1.1.5.1. log 4 (3x-2) = 2

1.2.1. Interest

1.2.1.1. Simple

1.2.1.2. Compound

1.2.2. Annuity

1.2.2.1. Deffered

### 1.3. Logic

1.3.1. Logical Operators

1.3.1.1. Negation (NOT)

1.3.1.2. Conjunction (AND)

1.3.1.3. Disjunction (OR)

1.3.1.4. Exclusive Or (XOR)

1.3.1.5. Implication

1.3.1.6. Biconditional

1.3.2. Inference Rules

1.3.2.2. Rule of Simplification

1.3.2.3. Rule of Conjunction

1.3.2.4. Rule of Modus Ponens

1.3.2.5. Rule of Modus Tollens

1.3.2.6. Rule of Hypothetical Syllogism

1.3.2.7. Rule of Disjunctive Syllogism

## 2. Earth Science

### 2.1. Earth and Space

2.1.1. Ideas

2.1.1.1. Old

2.1.1.1.1. Geocentric

2.1.1.2. New

2.1.1.2.1. Heliocentric

2.1.2. I'm not sure what these are

2.1.2.1. Luminosity

2.1.2.1.1. Definition

2.1.2.1.2. Concept

2.1.2.2. Doppler Effect

2.1.2.2.1. Definition

2.1.2.2.2. Concept

2.1.3. The Big Bang Theory

2.1.3.1. Concept

2.1.3.1.1. Stars DIE when hydrogen is USED UP

2.1.3.1.2. Stars FORM when hydrogen FUSE TOGETHER

2.1.3.1.3. 90% of the composition of human body: C, H, O

2.1.4. Sun

2.1.4.1. Has dark spots (cooler) due to magnetic fields

2.1.4.2. Equatorial and Polar Regions

2.1.4.3. Earth deflects solar wind from Sun

2.1.4.4. Solar wind + Earth's magnetic field = Aurora

2.1.4.5. Sunspot cycle (solar maximum/minimum): 11 years

2.1.5. Solar System

2.1.5.1. Planets

2.1.5.1.1. Kinds

2.1.5.2. Earth

2.1.5.2.1. Composition

2.1.5.2.2. Spheres

2.1.5.2.3. Characteristics

### 2.2. Plate Tectonics

2.2.1. Theories

2.2.1.1. Contracting Earth (Raisin)

2.2.1.1.1. Concept

2.2.1.1.2. It is the 20th century paradigm

2.2.1.2. Continental Drift (Wegener's)

2.2.1.2.1. Concept

2.2.1.2.2. Observations

2.2.1.2.3. Reasons why it is not accepted

2.2.2. Evidence from the Seafloor

2.2.2.1. Seafloor Topography

2.2.2.1.1. Key features

2.2.2.2. Age of the Seafloor

2.2.2.2.1. Varies systematically

2.2.2.2.2. Seafloor rocks are younger compared to most continent rocks

2.2.2.3. Heat flow

2.2.2.3.1. Varies systematically

2.2.2.3.2. Highest along oceanic ridges

2.2.2.3.3. Lowest on continents and in oceans from ridges

2.2.2.4. Volcanoes

2.2.2.4.1. Most active are found near oceanic trenches

2.2.2.5. Earthquakes

2.2.2.5.1. Deeper earthquakes at longer trenches

## 3. Empowerment Technologies

### 3.1. MS Office

3.1.1. Word

3.1.1.1. For making documents, letters, etc

3.1.2. Excel

3.1.2.1. For making spreadsheets, tables, etc

3.1.3. Powerpoint

3.1.3.1. For making presentations

### 3.2. GIMP

3.2.1. Definition

3.2.1.1. GNU Image Manipulation Program

3.2.2. Features

3.2.2.1. Photo editing

### 3.3. Mind Mapping

3.3.1. Definition

3.3.1.1. A spider diagram/concept map maker

3.3.2. Features

3.3.2.1. Can use different text and background colors for main topic and branches

3.3.2.2. Can access on different devices using account

### 3.4. Computer Troubleshooting and Security

3.4.1. Types of Intruders

3.4.1.1. Cracker

3.4.1.2. Hacker

3.4.1.3. Script kiddie

3.4.1.4. Corporate spies

3.4.1.5. Cyber extortionist

3.4.1.6. Cyber terrorism

3.4.2. Type of Internet and Network Attacks

3.4.2.1. Virus

3.4.2.2. Trojan Horses

3.4.2.3. Worms