Prove

Powstik Varsity

Run experiments and show the data.

Natural Sciences. Free science courses. Run an experiment at every step.

What you'll prove

What is the Natural Sciences Department?

It groups free courses on this subject, in order, as Powstik paths. You build something at each step and show it.

Who is it for?

It is for anyone who wants to learn a subject by doing it. You can start at any level.

What costs money?

Nothing. Learning on Varsity is free: courses, books and self-checks.

How does verification work?

A real person who knows your work signs in and checks each proof. You can never check your own proof. Your standing grows as more people check your work.

Varsity curricula

Finish every path in a Program. Then pass a blind review of your final project to earn Honors.

Mathematics

The full OSSU maths map, free. People check every proof you write.

  1. Math Curriculum 1: Mathematical thinking
  2. Math Curriculum 2: Calculus
  3. Math Curriculum 3: Differential equations
  4. Math Curriculum 4: Discrete mathematics
  5. Math Curriculum 5: Linear algebra
  6. Math Curriculum 6: Probability and statistics
  7. Math Curriculum 7: Introduction to analysis
  8. Math Curriculum 8: Introduction to abstract algebra
  9. Math Curriculum 9: Capstone paper

29 milestones in the core, plus electives · About 2 years at 18–22 hours a week: 1455 hours of core course time, plus electives and your capstone paper.

Advanced electives

Finish one outcome in each of the 6 areas, then 3 more in one area you choose to go deep in.

How this works

  1. Take each free course and write your solutions up in LaTeX.
  2. Pass its free self-check.
  3. Show your work as a proof. People who saw the work check every argument.
  4. Courses you finished in the Computer Science or Data Science curriculum count here too.
  5. Finish the core and the electives, then pass a blind review of your capstone paper to earn Honors.

Related paths

Optional practice. Not needed for Honors.

Modelled on a typical 4-year undergraduate program. Course map adapted from OSSU Math (MIT License)

Physics

The core of a physics program, free, from mechanics to quantum and statistical physics.

  1. Physics 1: Mechanics
  2. Physics 2: Electricity and Magnetism
  3. Physics 3: Vibrations and Waves
  4. Physics 4: Thermal Physics
  5. Physics 5: Special Relativity and Modern Physics
  6. Physics 6: Optics
  7. Physics 7: Classical Mechanics II
  8. Physics 8: Electrodynamics
  9. Physics 9: Quantum Physics I
  10. Physics 10: Quantum Physics II
  11. Physics 11: Statistical Mechanics
  12. Physics Curriculum: Capstone

40 milestones in the core, plus electives · About 150 weeks of core courses (1738 hours), plus 336 hours of electives and your capstone paper.

Before you start

Math prerequisites: reused from the Mathematics curriculum (calculus, differential equations, linear algebra) and Data Science (probability).

Advanced electives

Finish both electives: Astrophysics and Particle and Nuclear Physics.

How this works

  1. Use the free MIT courses and OpenStax textbooks linked in every unit.
  2. Solve each unit's problems, check them against the free answer key or solutions, and post the write-up.
  3. Each course ends with your own piece: a simulation, an open-data analysis or a safe home measurement.
  4. Finish the core and both electives, then pass a blind review of your capstone paper to earn Honors.

Related paths

Optional practice. Not needed for Honors.

Modelled on a typical 4-year undergraduate program. Course map adapted from MIT OCW (CC BY-NC-SA 4.0)

How standing works

Permanent and earned only from verified work. Never bought, applied for or handed out. Separate from the weekly team league.

  1. Member

    Joined any path in this Department.

  2. Varsity Letter

    5 verified outcomes here, each checked by 3 different people.

  3. Honors

    Finish a Program. Then Faculty you didn't pick review your final project blind.

    Opens as Faculty join

Sign in to see your standing

Faculty

People who check others' work in this Department.

No Faculty in this Department yet. Seats fill as people verify work here.

AdvancedUndergraduate

Biology & Life Sciences Research

Real biology produces real data. Design the experiment first — then collect, analyse, and report.

Skills
2 required + 4 opt52w
AdvancedUndergraduate

Chemistry & Materials Science

Chemistry produces data you can verify. Whether in a lab or from an authenticated database, every proof here is a real artifact with documented methodology.

Skills
1 required + 4 opt44w
ExpertUndergraduate

Physics & Applied Mathematics

Physics is mathematics applied to reality. Build the mathematical foundation first — then apply that rigour to real data from CERN, LIGO, and NASA.

Skills
1 required + 4 opt52w
AdvancedUndergraduate

Environmental Science & Ecology

Environmental data surrounds you. Government networks, citizen science platforms, and satellite feeds mean the data exists. Your job is to collect it rigorously and turn conclusions into action.

Skills
1 required + 5 opt52w
ExpertPostgraduate

Neuroscience Foundations

The brain is anatomy before it is mechanism, and mechanism before it is cognition. Build in that order.

Skills
1 required + 4 opt44w
ExpertPostgraduate

Genetics & Biotechnology

Modern genetics is computational before it is wet. The data is public, the tools are free. Your proof is what you understand about the output.

Skills
2 required + 3 opt44w
BeginnerGrades K-12

Math Mastery Progression

Count to algebra — one proven step at a time.

Learning
8 required78w
AdvancedUndergraduate

Math Curriculum 1: Mathematical thinking

Learn to read and write proofs, typeset in LaTeX.

Skills
1 required10w
AdvancedUndergraduate

Math Curriculum 2: Calculus

Derivatives, integrals, series and calculus in several variables.

Skills
4 required44w
AdvancedUndergraduate

Math Curriculum 3: Differential equations

Equations that describe change, solved by hand and checked in code.

Skills
1 required14w
AdvancedUndergraduate

Math Curriculum 4: Discrete mathematics

Counting, graphs and logic, with formal proofs.

Skills
1 required14w
AdvancedUndergraduate

Math Curriculum 5: Linear algebra

Vectors, matrices, vector spaces and eigenvalues.

Skills
1 required14w
AdvancedUndergraduate

Math Curriculum 6: Probability and statistics

Random variables and distributions, then the theory of statistics.

Skills
2 required28w
AdvancedUndergraduate

Math Curriculum 7: Introduction to analysis

Build calculus from the ground up with rigorous proofs.

Skills
1 required14w
AdvancedUndergraduate

Math Curriculum 8: Introduction to abstract algebra

Groups, then rings and fields.

Skills
2 required16w
AdvancedUndergraduate

Math Curriculum 9: Capstone paper

Write a paper with full proofs and present it.

Skills
1 required12w
AdvancedUndergraduate

Math Electives: Differential equations

Partial differential equations and chaos.

Skills
0 required + 2 opt28w
AdvancedUndergraduate

Math Electives: Mathematical logic

Formal logic, sets, computability and machine-checked proof.

Skills
0 required + 4 opt49w
AdvancedUndergraduate

Math Electives: Geometry and topology

Topology, Euclidean and non-Euclidean geometry, and curved surfaces.

Skills
0 required + 4 opt53w
AdvancedUndergraduate

Math Electives: Probability and statistics

Combinatorics, game theory, measure-based probability and applied statistics.

Skills
0 required + 4 opt52w
AdvancedUndergraduate

Math Electives: Mathematical analysis

Complex, numerical and functional analysis, and optimisation.

Skills
0 required + 4 opt52w
AdvancedUndergraduate

Math Electives: Abstract algebra

Modern algebra, category theory, algebraic topology and algebraic geometry.

Skills
0 required + 4 opt52w
AdvancedUndergraduate

Physics 1: Mechanics

Motion, forces, energy, momentum and rotation, with calculus.

Skills
1 required + 1 opt14w
AdvancedUndergraduate

Physics 2: Electricity and Magnetism

Charges, fields, potential, magnetism, induction and Maxwell's equations.

Skills
1 required + 1 opt14w
Milestone map

Write and Publish a Research Paper

3 milestones · 24 weeks

Conduct original research and publish a paper in a peer-reviewed journal or conference.

Milestone map

Complete a Measurable Environmental Action

3 milestones · 10 weeks

Lead or organise an environmental action with documented, quantified impact — trees planted, waste removed, land restored. Proof: before/after documentation and impact numbers.

Milestone map

Master the Times Tables

2 milestones · 6 weeks

Memorise and recall all multiplication tables from 1 to 12. A parent or teacher administers a timed quiz (2 minutes, all 144 facts) and confirms fluency. Photo of a completed quiz…

Milestone map

Complete a Science Project

3 milestones · 8 weeks

Design and carry out a hands-on experiment — growing plants, testing materials, observing animals, or anything you're curious about. Share what you predicted, what happened, and…

Milestone map

Write Your First Research Report

3 milestones · 8 weeks

Pick a topic that genuinely interests you and write a 3–5 page research report with at least 3 cited sources. The topic is entirely your choice. A teacher or parent confirms the…

Milestone map

Biology Experimental Design

0 milestones · 6 weeks

Design a real biological investigation from scratch: state a testable hypothesis, identify independent and dependent variables, define controls, justify sample size using a power…

Milestone map

Biology Data Collection and Statistical Analysis

0 milestones · 8 weeks

Execute a real biological investigation by collecting data from a controlled experiment OR from a named publicly available citizen science or genomics platform (iNaturalist, GBIF,…

Milestone map

Species Identification and Taxonomic Classification

0 milestones · 6 weeks

Identify and taxonomically classify at least 20 species from a defined habitat area using a documented dichotomous key or taxonomic reference. The proof is a species…

Milestone map

Biology Systematic Literature Review

0 milestones · 8 weeks

Conduct a systematic review of primary biological literature on a specific named biological question using PRISMA methodology: document your database search strategy (databases…

Milestone map

Biology Research Report (IMRaD Format)

0 milestones · 12 weeks

Write a complete research report in IMRaD format (Introduction, Methods, Results, Discussion, References) documenting a real biological investigation. The investigation can be…

Milestone map

Chemical Lab Safety and Risk Assessment

0 milestones · 4 weeks

Write a complete laboratory risk assessment for a real specific named chemical procedure — for example, 'acid-base titration of sodium hydroxide with hydrochloric acid' or…

Milestone map

Quantitative Chemical Analysis

0 milestones · 6 weeks

Perform a quantitative chemical analysis using a standard analytical technique: titration (acid-base, redox, complexometric, or precipitation), gravimetric analysis, or…

Milestone map

Spectroscopic Data Interpretation

0 milestones · 6 weeks

Interpret real spectroscopic data — NMR (¹H, ¹³C, or DEPT), IR, or mass spectrometry — for a specific named compound. Document the reasoning for every peak assignment: chemical…

Milestone map

Chemical Synthesis and Characterisation

0 milestones · 8 weeks

Plan and execute (or rigorously analyse) a chemical synthesis: document the procedure (reagents, quantities, reaction conditions, safety precautions), isolation methodology,…

Milestone map

Chemistry Primary Literature Problem Solving

0 milestones · 6 weeks

Select a named primary chemistry paper (journal article, not a textbook) and work through a key calculation, derivation, or experimental result from that paper step by step.…

Milestone map

Mathematical Proof Construction

0 milestones · 8 weeks

Construct a complete formal mathematical proof in continuous mathematics — real analysis (limits, continuity, differentiation, integration), linear algebra (eigenvalues, vector…

Milestone map

Physics Experiment Execution and Analysis

0 milestones · 10 weeks

Design and execute a real physics experiment: state a specific testable prediction from physical theory, collect raw data with documented methodology and measurement uncertainty,…

Milestone map

Computational Physics Modelling

0 milestones · 10 weeks

Build a real computational physics model or simulation using numerical methods — finite difference, Monte Carlo, molecular dynamics, or numerical integration of differential…

Milestone map

Physics Open Data Analysis

0 milestones · 8 weeks

Analyse a named real publicly available physics dataset from a recognised source: CERN Open Data Portal, NASA Exoplanet Archive, IPAC Infrared Science Archive, Sloan Digital Sky…

Milestone map

Physics Derivation from Primary Literature

0 milestones · 8 weeks

Select a named primary physics paper (arXiv, Physical Review, Nature Physics, or equivalent) and work through a key derivation from that paper step by step — filling in all…

Milestone map

Environmental Monitoring Data Collection

0 milestones · 6 weeks

Collect real environmental monitoring data from a specific named location using a documented methodology: air quality (PM2.5, NO₂, CO₂), water quality (pH, dissolved oxygen,…

Milestone map

Ecological Field Assessment

0 milestones · 6 weeks

Conduct a real ecological assessment of a specific named site using a standard methodology: point count or transect survey for bird species, quadrat sampling for plant…

Milestone map

Environmental Impact Analysis

0 milestones · 10 weeks

Conduct a real environmental impact analysis for a specific named development, land use change, or infrastructure project using established EIA methodology: baseline environmental…

Milestone map

Climate and Environmental Open Data Analysis

0 milestones · 8 weeks

Analyse a real named publicly available climate or environmental dataset: NOAA Global Surface Temperature, NASA GISS Surface Temperature Analysis, Copernicus Climate Change…

For teams and weekly leagues: See Portfolios

For research projects, try Powstik Research →

Powstik Varsity does not grant degrees.