| Hint | Answer | % Correct |
|---|---|---|
| The first appearance of variables and graphs | algebra | 100%
|
| Discovery is disputed between two famous mathematicians | calculus | 100%
|
| First appearance of proofs | geometry | 86%
|
| Teaches operations like addition, subtraction, multiplication, and division | arithmetic | 71%
|
| Study of learning from data: differs from the above by focusing on inference, figuring out unknowns from finite, noisy observations. | statistics | 57%
|
| Study of angles, periodicity, and geometric relationships (especially in circles and triangles) | trigonometry | 57%
|
| Study of how things change with one independent variable | ordinary differential equations | 43%
|
| Formal study of uncertainty, randomness, and stochastic behavior | probability theory | 43%
|
| Study of algebraic structures (sets equipped with operations) that satisfy specific axioms | abstract algebra | 29%
|
| Rigorously analyzes local theory, holomorphic functions, residue theorem, and more | complex analysis | 29%
|
| Studies distinct, separate objects, rather than continuous quantities. Foundational to computer science, algorithms, and combinatorial structure. | discrete mathematics | 29%
|
| Study of how functions can be decomposed into basic oscillatory components (extension of the above into infinite-dimensional analysis) | fourier analysis | 29%
|
| Discrete and structural, focusing on networks and relationships rather than change or continuous space | graph theory | 29%
|
| Rigorous study of operations and their rules, covering symmetry, algebraic structure, invariants, and more | group theory | 29%
|
| Vital for information theory; studies elements of Rⁿ | linear algebra | 29%
|
| Rigorously defines "size," "area," "volume," "probability," and more. | measure theory | 29%
|
| While its predecessor studied derivatives and integrals of y = f(x), it studies z = f(x, y) | multivariable calculus | 29%
|
| Study of integers and their properties (asking questions like: which numbers are prime? how do numbers divide each other?) | number theory | 29%
|
| Study of how things change with multiple independent variables | partial differential equations | 29%
|
| First true introduction to analysis and set theory | real analysis | 29%
|
| Basis of all other mathematics; determines properties such as countability, cartesian products, unions, and intersections. | set theory | 29%
|
| Studies properties of space that are preserved under continuous deformations (i.e. stretching, bending twisting) | topology | 29%
|
| A "container" of the above, studies smooth manifolds, the basis of general relativity | differential geometry | 14%
|
| Rigorously studies functions as objects in infinite dimensional vector space | functional analysis | 14%
|
| A way to generalize vectors and matrices so differentiation and integration can make sense independent of coordinates | tensor calculus | 0%
|