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Your current streak is 14 days. You have upcoming assessments in Calculus II and Molecular Biology.
Active Modules
Quantum Mechanics
Wave functions, Schrödinger equation, and Heisenberg Uncertainty Principle.
Data Structures
Analysis of Algorithms, Hash Maps, Binary Trees, and Graph Theory.
Cellular Respiration
Glycolysis, Krebs Cycle, and the Electron Transport Chain.
Industrial Revolution
Socio-economic shifts from agrarian societies to industrial urban centers.
Performance Analytics
| Subject | Modules Completed | Avg. Score | Status |
|---|---|---|---|
| Physics & Mechanics | 12/40 | 92% | Excellent |
| Calculus | 8/35 | 88% | Good |
| Computer Science | 24/50 | 95% | Distinction |
| Inorganic Chemistry | 3/30 | 74% | Review Needed |
Curriculum Overview
Manage your learning path and review syllabus requirements.
Degree Progress
You have completed 45% of the core requirements for the Bachelor of Science track.
Physics: Mechanics & Quantum Theory
1. Classical Mechanics: Kinematics
Kinematics describes the motion of points, bodies (objects), and systems of bodies without considering the forces that cause them to move.
2. The Laws of Thermodynamics
Thermodynamics deals with heat, work, and temperature, and their relation to energy, radiation, and physical properties of matter.
- Zeroth Law: If two systems are in thermal equilibrium with a third system, they are in thermal equilibrium with each other.
- First Law: Energy cannot be created or destroyed in an isolated system (Conservation of Energy).
ΔU = Q - W - Second Law: The entropy of any isolated system always increases.
3. Quantum Mechanics
The study of matter and light at the atomic and subatomic scale. It attempts to describe and account for the properties of molecules and atoms and their constituents.
The Schrödinger Equation
A linear partial differential equation that governs the wave function of a quantum-mechanical system.
Where Ψ is the wave function, V is the potential energy, and ℏ is the reduced Planck constant.
Cellular Biology & Genetics
1. Structure of the Eukaryotic Cell
Eukaryotic cells contain membrane-bound organelles, including a nucleus. They differ from prokaryotic cells (bacteria) which lack these structures.
| Organelle | Function | Structure |
|---|---|---|
| Nucleus | Stores genetic material (DNA) | Double membrane with pores |
| Mitochondria | ATP production (Cellular Respiration) | Double membrane, own DNA |
| Ribosome | Protein synthesis (Translation) | RNA and protein complex |
| Golgi Apparatus | Modifies, sorts, and packages proteins | Stacked flattened sacs |
| Lysosome | Digestion and waste removal | Membrane sac with enzymes |
2. DNA Replication
The biological process of producing two identical replicas of DNA from one original DNA molecule.
Base Pairing Rules (Chargaff's Rules)
In DNA, Adenine (A) always pairs with Thymine (T) via two hydrogen bonds, and Cytosine (C) always pairs with Guanine (G) via three hydrogen bonds.
Calculus & Linear Algebra
1. Differential Calculus
The derivative measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Common Derivatives
d/dx (x^n) = nx^(n-1)(Power Rule)d/dx (sin x) = cos xd/dx (e^x) = e^xd/dx (ln x) = 1/x
2. Integral Calculus
Integration represents the accumulation of quantities, such as areas under a curve or displacement from velocity.
3. Linear Algebra: Matrix Operations
A matrix is a rectangular array of numbers arranged in rows and columns.
Computer Science Principles
1. Computational Complexity (Big O)
Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation.
| Complexity | Name | Example Algorithm |
|---|---|---|
| O(1) | Constant | Accessing Array Index |
| O(log n) | Logarithmic | Binary Search |
| O(n) | Linear | Linear Search |
| O(n log n) | Linearithmic | Merge Sort, Quick Sort |
| O(n²) | Quadratic | Bubble Sort, Nested Loops |
2. Sorting Algorithms
QuickSort Implementation Logic
QuickSort is a divide-and-conquer algorithm. It works by selecting a 'pivot' element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot.
World History: The Modern Era
1. The Industrial Revolution (1760 – 1840)
The transition to new manufacturing processes in Great Britain, continental Europe, and the United States.
Key Innovations
- The Steam Engine (James Watt): Allowed for factories to be located anywhere, not just near water sources.
- Spinning Jenny (James Hargreaves): Revolutionized the textile industry by allowing one worker to spin eight threads at once.
- Iron Production: Cort's puddling process allowed for the mass production of wrought iron.
2. Causes of World War I
Often remembered by the acronym M.A.I.N.:
- Militarism: The belief that a country should maintain a strong military capability.
- Alliances: The Triple Entente (Britain, France, Russia) vs. The Triple Alliance (Germany, Austria-Hungary, Italy).
- Imperialism: Domination by one country of the political, economic, or cultural life of another.
- Nationalism: Identification with one's own nation and support for its interests to the exclusion or detriment of the interests of other nations.
Inorganic Chemistry
1. Atomic Structure
Atoms consist of protons, neutrons, and electrons. The number of protons determines the element (Atomic Number).
2. Stoichiometry
Stoichiometry is the calculation of reactants and products in chemical reactions based on the law of conservation of mass.
Scientific Calculator
Function Plotter
Math.sin(x), Math.pow(x, 2), Math.log(x), x + 5.
Periodic Table of Elements
Hydrogen
Focus Timer (Pomodoro)
Technique Guide
1. Decide on the task to be done.
2. Set the pomodoro timer (traditionally to 25 minutes).
3. Work on the task.
4. End work when the timer rings and take a short break (5 minutes).
5. After four pomodoros, take a longer break (15–30 minutes).