DDMA Level II
Mathematical Concepts in Data Science glossary
Every term this guide defines, A to Z, each with the chapter that teaches it. Open it when a word in a question is unfamiliar, and test yourself on it in the last week: cover the definition and say it in one sentence.
10 terms from the free first chapter
G
- General form
Ax + By + C = 0, the most flexible form.
Taught in Linear algebra
I
- Intercept form
x/a + y/b = 1, where a and b are the x- and y-intercepts.
Taught in Linear algebra
P
- Point-slope form
y - y1 = m(x - x1), useful when a point on the line and its slope are known.
Taught in Linear algebra
- Properties of vector addition and scalar multiplication
Addition is commutative and associative; scalar multiplication distributes over vector addition, the same algebraic rules ordinary numbers follow.
Taught in Linear algebra
S
- Scalar multiplication
Multiply every component of a vector by a single number.
Taught in Linear algebra
- Slope-intercept form
y = mx + c, where m is the slope and c is the y-intercept, the most common form for quick graphing.
Taught in Linear algebra
T
- Two-point form
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1), useful when two points on the line are known.
Taught in Linear algebra
U
- Unit vector
A vector with magnitude 1, found by dividing a vector by its own magnitude, pointing in the same direction as the original.
Taught in Linear algebra
V
- Vector addition
Add corresponding components of two vectors: (a1, a2) + (b1, b2) = (a1+b1, a2+b2).
Taught in Linear algebra
- Vector subtraction
Subtract corresponding components: (a1, a2) - (b1, b2) = (a1-b1, a2-b2).
Taught in Linear algebra
The full glossary adds every term from the other 5 chapters, A to Z, each with the chapter that teaches it.