Make STEM concepts stick. Through music.

Learn biology, chemistry, calculus, and physics with songs, synced explanations, and quick quizzes.

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Integration by Parts
Calculus II
Lo-Fi
  • When basic methods just won't do
  • Integration by parts will pull you through
  • Product rule reversed, that's the key
  • ∫u dv, let me show you what it'll be
  • Pick your u, pick your dv with care
  • Find du and v, set up the pair
  • Product rule gave us d(uv) = u dv + v du
  • Integrate, rearrange, and the formula comes through
  • Parts, breaking it down
  • ∫u dv equals uv minus ∫v du, that's the sound
  • Parts, choose your u right
  • LIATE guides you through the night
  • Logs, inverse, algebraic, trig, exponential — see?
Percent Yield
Chemistry
Funk
  • Theoretical yield, the maximum possible
  • From stoichiometry, accessible
  • But real lab work, you don't get it all
  • Actual yield, what you actually haul
  • Percent yield compares the two, the ratio
  • (Actual/Theoretical) × 100, the show
  • 100% means perfect, got everything predicted
  • Less than 100%, restricted
  • Usually get less than theoretical, the norm
  • Real world, imperfect form
  • Percent yield, what you actually obtain
  • Compared to theoretical — the paper claim
  • (Actual ÷ Theoretical) × 100, the measure
  • Efficiency treasure
  • Less than 100% most times
  • Real reactions leave some behind
  • Percent yield, the practical score
  • Actual over theoretical, never more
  • Why less than 100%? Several reasons why
  • Side reactions, products go awry
Subatomic
Chemistry
Pop
  • Inside every atom, smaller parts exist
  • Subatomic particles, on the list
  • Protons in the nucleus, positive charge, +1
  • Mass about 1 amu, when all's said and done
  • Neutrons also in nucleus, no charge at all
  • Same mass as protons, standing tall
  • Electrons outside, negative charge, -1
  • 1/1836 of a proton's mass, next to none
  • Nucleus is tiny, dense, most mass there
  • Electrons spread out, everywhere
  • Subatomic particles, building blocks so small
  • Protons, neutrons, electrons, that's all
  • Positive, neutral, negative, the three
  • Subatomic, that's the recipe
  • Nucleus holds protons and neutrons tight
  • Electrons surround, they're light
  • Subatomic, the foundation laid
Prokaryotes vs Eukaryotes
Biology
Hip-Hop
  • Prokaryotes, pro means before, karyon means kernel
  • No true nucleus, DNA in nucleoid, external
  • Bacteria and Archaea, two domains
  • Single-celled, ancient, remain
  • Cell wall often present, peptidoglycan in bacteria
  • Archaea walls differ, plasma membrane, cytoplasm, criteria
  • Ribosomes 70S, smaller, free-floating
  • No membrane-bound organelles, noting
  • Circular chromosome, plus plasmids, extra DNA
  • Small cells, 1-10 micrometers, okay
  • Prokaryotes vs eukaryotes, the divide
  • Nucleus inside or outside
  • Pro means before, eu means true
  • Karyon is nucleus, the clue
  • Membrane-bound organelles, the test
  • Eukaryotes have them, the best
  • Prokaryotes simpler, eukaryotes complex
  • Two cell types with different specs
  • Eukaryotes, true nucleus, membrane-bound DNA
  • Membrane-bound organelles on display
  • Animals, plants, fungi, protists, four kingdoms
  • Compartmentalized, efficient systems
  • Larger cells, 10-100 micrometers typically
  • Ribosomes 80S, more specifically
  • Mitochondria for energy, chloroplasts in plants too
Glycolysis
Biology I
Electronic
  • Glycolysis, glyco means sugar, lysis means splitting
  • Glucose to pyruvate, fitting
  • Occurs in cytoplasm, no organelles needed
  • Ancient pathway, universal, heeded
  • Ten enzyme-catalyzed steps, two phases clear
  • Energy investment, then payoff is here
  • Phase one: energy investment, spend 2 ATP
  • Glucose phosphorylated twice, the key
  • Glucose → glucose-6-P → fructose-6-P → fructose-1,6-bisP
  • Six-carbon split to two three-carbons, G3P
  • Glycolysis, splitting glucose in two
  • Pyruvate produced, breakthrough
  • Invest 2 ATP, harvest 4
  • Net gain of 2, the score
  • 2 NADH also made, a bonus
  • Glycolysis, focus
  • Ancient anaerobic pathway, first step
  • Glycolysis, every cell gets
  • Phase two: energy payoff, harvest energy
  • Two G3P molecules with synergy
  • Each G3P oxidized, NADH made
  • NAD⁺ reduced to NADH, electrons conveyed
E/Z Isomerism
Organic Chemistry
Indie
  • Double bond locked in place, can't rotate around
  • Two different ways that groups can be found
  • Same side or opposite, makes isomers distinct
  • Geometry matters more than you think
  • Cis and trans for simple cases work
  • But when it gets complex, there's a quirk
  • Need a system that can handle any case
  • Cahn-Ingold-Prelog, that's the ace
  • E or Z, which will it be?
  • Priorities decide the geometry
  • Higher atomic number takes the lead
  • Assign the groups, that's all you need
  • E or Z, opposite or same
  • Entgegen, Zusammen, that's the name
  • Look at each carbon, rank what's attached
  • Geometric isomers, perfectly matched
  • Start at each carbon of the double bond
  • Look at what's directly attached, respond
Heaps
Data Structures
Jazz
  • Heaps, priority structure, not just any tree
  • Max-heap: parent greater than children, the key
  • Min-heap: parent smaller than children, flipped around
  • Root holds the extreme, profound
  • Complete binary tree: filled level by level, left to right
  • No gaps allowed, tight
  • Array representation: no pointers needed, indices work
  • Node at i: children 2i+1 and 2i+2, it works
  • Parent index: (i-1)/2, integer division
  • Efficient storage, the vision
  • Heaps, priority maintained
  • Greatest or smallest, contained
  • Root holds the prize
  • Heapify, it applies
  • Heaps, efficient O(log n) operations
  • Insert, extract, the foundations
  • Priority queue, the implementation
  • Heaps, the foundation
  • Insert: add to end, heapify up, bubble up
  • Compare with parent, swap if out of order, above
Trig Substitution
Calculus II
Funk
  • Square roots with squares inside
  • a² minus x², stuck inside
  • Regular u-sub just won't do
  • Trig substitution pulls you through
  • Replace x with trig, watch the radical fall
  • Pythagorean identities answer the call
  • Three patterns to know, three ways to go
  • Match the form, let the method flow
  • Trig substitution, eliminate the root
  • a² minus x², sine takes the route
  • a² plus x², tangent's the play
  • x² minus a², secant leads the way
  • Draw the triangle, find every side
  • Convert back to x, nothing to hide
  • Trig substitution, radicals disappear
  • Pythagorean identities, crystal clear
  • √(a² - x²), here's what you do
  • Let x equal a sin θ, pushing through
Arrays Revisited
Data Structures
Hip-Hop
  • Arrays revisited, going deeper, the sequel
  • Understanding internals, the deeper level
  • Contiguous memory: elements stored side by side
  • No gaps, unified
  • Base address plus index times element size, the calculation
  • Direct access, no hesitation
  • O(1) random access: any element instantly found
  • arr[1000] same cost as arr[0], profound
  • But insertion in middle? Shift everything right
  • O(n) operation, the plight
  • Arrays revisited, more than just a list
  • Memory layout, the gist
  • Fast access, slow insert in the middle
  • The riddle
  • Arrays revisited, understanding trade-offs clear
  • When to use, when to steer
  • Foundation of data structures, the base
  • Arrays revisited, the case

Sample tracks from our growing STEM catalog.
Explore the library and what’s coming.

You know how a song can stick.

Still remember the alphabet song? You learned it as a child, and the melody is probably still with you.

Now imagine giving the Krebs cycle, integration rules, or Big O complexity a melody of their own.

See the Science

Listen. Understand. Remember.

Start with a song, explore the ideas behind the lyrics, and check what you remember with quick quizzes.

The hook

Start with a song.

Press play on the bus, walking to class, or lying in bed.

Meet the key ideas in a song, so you have something familiar to build on when you study.

∫ Σ
The lesson

Make it click.

Explore the ideas behind the lyrics.

As the song plays, a companion panel follows along—diagrams, key concepts, and notes for the line you're hearing.

Nothing interrupts the music. Catchy lyrics become active lessons.

Melosofia in Learn mode: synced lyrics for the song Membrane Structure on the left, and a companion panel on the right showing an animated phospholipid bilayer diagram with notes
The recall

Lock it in.

Come back to the songs over time, making familiar ideas part of your daily rotation.

When you're ready, switch to Quiz: the song pauses for a quick check, then picks right back up.

Find out what you remember—and what needs another listen.

Melosofia in Quiz mode: the song Stacks is paused while a Quick Check asks you to match each stack operation to what it does

Why music can help you remember

Putting ideas to melody can give you another way to recall them. Here’s what research on musical learning has found.

A classroom example: the Krebs cycle

In a study of 62 students, a group taught Krebs-cycle songs alongside diagram activities scored higher on an immediate recall test than a group studying notes. The study combined music with teacher-led instruction and did not test longer-term retention.

Yeoh · Learning Science and Mathematics, 2016

Early evidence for computer science learning

In a 36-person study, learners using KoroT-3E to create personalized songs about computing concepts scored higher on one-week tests than those studying text. This small preprint studied song creation and personalization alongside listening.

Yuan et al. · arXiv preprint, 2024

These studies inform our approach. They did not test Melosofia or establish its effect on course grades.

Explore the Library

Explore four foundational STEM courses. Plenty more on the way.

Life Sciences

Biology I

Chemistry

General Chemistry I

More playlists coming soon

Mathematics

Calculus I

Physical Sciences

Physics I

More playlists coming soon

Coming soon

  • Introduction to Programming
  • Biology II
  • Calculus II
  • General Chemistry II
  • Physics II
  • Organic Chemistry
  • Data Structures & Algorithms

More songs and playlists are on the way, with Linear Algebra and Statistics also in development.

Built for Science & Engineering Majors

Founded by an MIT '19 Math & CS graduate who knows firsthand the demands of challenging technical courses, Melosofia combines beautiful music, memory science, and intelligent learning systems to help students master difficult concepts faster and more confidently.

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