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Science
158 topics across 7 chapters
Chapter 1
Scientific thinking & research process
1
Asking scientific questions & forming hypotheses
2 subtopics
2
Turn a curiosity into a testable question (practice)
3
Write falsifiable hypotheses and predictions (practice)
4
Experimental design & controls
3 subtopics
5
Independent/dependent variables and confounders (skills)
6
Controls, randomization, and blinding (skills)
7
Sampling, replication, and power (concepts)
8
Measurement, units, and dimensional analysis
3 subtopics
9
SI base units and derived units (memorize + apply)
10
Significant figures and uncertainty propagation (drills)
11
Dimensional analysis for checking equations (drills)
12
Data analysis & statistics (core ideas)
4 subtopics
13
Descriptive statistics: mean/median/variance (practice)
14
Distributions and the normal curve (concepts)
15
Confidence intervals and hypothesis tests (basics)
16
Correlation vs causation + simple regression (practice)
17
Scientific communication & reproducibility
3 subtopics
18
Read a scientific paper: IMRaD structure (skills)
19
Make clear figures/tables and captions (practice)
20
Reproducible notes and lab records (habits)
21
Ethics, bias, and responsible research
2 subtopics
22
Research ethics: consent, harm, and integrity (basics)
23
Cognitive bias and p-hacking awareness (concepts)
Chapter 2
Math foundations for science
24
Algebra & functions for modeling
3 subtopics
25
Manipulate equations and solve systems (practice)
26
Exponentials, logs, and scientific notation (drills)
27
Build simple linear and nonlinear models (practice)
28
Geometry, vectors, and coordinate systems
3 subtopics
29
Vector addition, components, and dot product (drills)
30
Coordinate systems and graph interpretation (practice)
31
Basic matrix ideas for transformations (optional)
32
Trigonometry for waves and cycles
2 subtopics
33
Sine/cosine functions and phase (practice)
34
Radian measure and basic identities (drills)
35
Calculus fundamentals (rates and accumulation)
3 subtopics
36
Derivatives as rates of change (practice)
37
Integrals as accumulation/area (practice)
38
Solve simple differential equations (separable) (practice)
39
Probability and uncertainty
3 subtopics
40
Basic probability rules and conditional probability (drills)
41
Bayes’ theorem intuition and examples (practice)
↗ Confidence intervals and hypothesis tests (basics) (see Chapter 1)
Chapter 3
Physics (matter, energy, forces)
42
Classical mechanics (motion and forces)
4 subtopics
43
Kinematics: position, velocity, acceleration (problems)
44
Newton’s laws and free-body diagrams (problems)
45
Momentum, impulses, and collisions (problems)
46
Circular motion and gravitation (problems)
47
Energy, work, and power
3 subtopics
48
Work-energy theorem (problems)
49
Conservation of energy (problem solving)
50
Power and efficiency (applications)
51
Thermodynamics (heat and entropy)
3 subtopics
52
Heat, temperature, and calorimetry (practice)
53
Entropy and the second law (concepts)
54
Heat engines and refrigerators (problems)
55
Electricity and magnetism
3 subtopics
56
Electric fields and Coulomb’s law (problems)
57
Circuits: Ohm’s law, Kirchhoff’s laws (problems)
58
Magnetism and electromagnetic induction (concepts)
59
Waves, sound, and optics
3 subtopics
60
Wave properties: frequency, wavelength, superposition (practice)
61
Sound waves and resonance (concepts)
62
Geometric optics: lenses and mirrors (problems)
63
Modern physics (atoms to cosmos)
3 subtopics
64
Quantum basics: energy levels and spectra (concepts)
65
Nuclear physics and radioactivity (concepts)
66
Relativity: time dilation and spacetime (concepts)
Chapter 4
Chemistry (atoms, molecules, reactions)
67
Atomic structure & periodic trends
2 subtopics
68
Protons, neutrons, electrons; isotopes (drills)
69
Periodic table trends: size, ionization, electronegativity (practice)
70
Chemical bonding & molecular structure
3 subtopics
71
Ionic vs covalent bonding (practice)
72
Lewis structures and formal charge (drills)
73
Molecular geometry and polarity (VSEPR) (practice)
74
Chemical reactions & stoichiometry
3 subtopics
75
Balance chemical equations (drills)
76
Moles, molar mass, and limiting reagents (problems)
77
Reaction types and net ionic equations (practice)
78
Thermochemistry and chemical energetics
3 subtopics
79
Enthalpy and calorimetry problems (practice)
80
Hess’s law and bond energies (practice)
↗ Heat, temperature, and calorimetry (practice) (see Chapter 3)
81
Equilibrium, acids/bases, and buffers
3 subtopics
82
Le Châtelier’s principle (practice)
83
pH, pKa, and titration curves (practice)
84
Buffers and Henderson–Hasselbalch (practice)
85
Organic chemistry foundations
3 subtopics
86
Functional groups and nomenclature (drills)
87
Isomers, chirality, and stereochemistry (concepts)
88
Intro reaction mechanisms: nucleophiles/electrophiles (concepts)
Chapter 5
Biology (life, cells, evolution)
89
Cells and biomolecules
3 subtopics
90
Cell structure and organelles (practice)
91
Macromolecules: proteins, lipids, carbs, DNA (practice)
92
Membranes and transport (diffusion, osmosis) (practice)
93
Genetics and heredity
3 subtopics
94
DNA replication, transcription, translation (concepts)
95
Mendelian genetics and pedigrees (problems)
96
Genetic variation, mutation, and recombination (concepts)
97
Evolution and natural selection
3 subtopics
98
Evidence for evolution (practice)
99
Natural selection and adaptation (practice)
100
Speciation and phylogenetic trees (practice)
101
Physiology and homeostasis
3 subtopics
102
Body systems overview (practice)
103
Neurons, hormones, and signaling (concepts)
104
Homeostasis feedback loops (practice)
105
Ecology and ecosystems
3 subtopics
106
Food webs, energy flow, and nutrient cycles (practice)
107
Population dynamics and carrying capacity (concepts)
108
Biodiversity, conservation, and human impacts (concepts)
109
Microbiology and immunity basics
3 subtopics
110
Microbes: bacteria, viruses, fungi (practice)
111
Immune system basics (innate vs adaptive) (concepts)
112
Vaccines and antimicrobial resistance (concepts)
Chapter 6
Earth & space science (planet, climate, cosmos)
113
Earth materials & plate tectonics
3 subtopics
114
Rock types and the rock cycle (practice)
115
Plate boundaries: earthquakes and volcanoes (practice)
116
Mountain building and seafloor spreading (concepts)
117
Weather, climate, and the water cycle
3 subtopics
118
Atmosphere structure and circulation (concepts)
119
Cloud formation, storms, and fronts (practice)
120
Climate change basics and evidence (concepts)
121
Earth history & geologic time
2 subtopics
122
Fossils and relative dating principles (practice)
123
Radiometric dating and geologic timelines (concepts)
124
Astronomy basics (solar system to galaxies)
3 subtopics
125
Solar system: planets, moons, small bodies (practice)
126
Stars: life cycle and classification (concepts)
127
Galaxies and cosmology overview (concepts)
128
Space exploration and observation
2 subtopics
129
Telescopes and electromagnetic spectrum (practice)
130
Orbits, rockets, and mission design (concepts)
Chapter 7
Computational & data tools for science
131
Programming for science (Python basics)
3 subtopics
132
Python syntax, variables, and control flow (practice)
133
Functions, modules, and notebooks (practice)
134
Use NumPy for arrays and math (practice)
135
Data handling and visualization
3 subtopics
136
Load/clean data with pandas (practice)
137
Plotting with matplotlib/seaborn (practice)
138
Error bars and basic uncertainty visualization (practice)
139
Modeling and simulation fundamentals
3 subtopics
140
Build a simple deterministic model (practice)
141
Monte Carlo simulation intuition (practice)
142
Parameter fitting and model checking (basics)
143
Scientific computing workflows
3 subtopics
144
Version control basics with Git (practice)
145
Environment management (conda/venv) (practice)
146
Write and run a simple reproducible pipeline (practice)
147
AI/ML concepts for scientific data
3 subtopics
148
Train/test split and overfitting (concepts)
149
Classification vs regression + metrics (practice)
150
Intro to scientific ML: feature engineering + baselines (practice)

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