Math concepts

Relationships
Equations, formulae
Graphs, curves, expressions

Black-boxes - procedures/functions/subroutines/methods/modules..
Composition

The following are topics that you need to be familiar with:

• Coordinate systems

- Location, distance
- Reference frame
- Cartesian axes
- Polar coords
 
• Points

- 2D, 3D
- line segments
- distance between two points
 
• Vectors

- scalar vs. vector
- magnitude, direction
- negation
- addition, subtraction
- multiplication with a scalar
- normalization
- dot product
- cross product
- tangent, normal, binormal
- matrices
 
• Transformations, matrices

- RST [Rotate/Scale Translate]
 
• Trigonometry

- right triangle, Pythagoras Theorem
- sin(), cos() and tan()
- rotation about an axis


• Color spaces

- RGB vs. HSV
 
• Image representation

- RGB, Alpha channels
- Mipmap
 
• Polygons

- convex vs. concave
- general polygons
 
• Curves

- polylines
- splines
 
• Surfaces

- primitives
- polymeshes
- patches
 
• Interpolation

- linear interpolation
- step
- smoothstep
- spline
  
• Randomness
  


• Math functions

- sin(), asin()...
- sqrt(), pow(), exp(), log()
- mod(), abs(), sign()
- min(), max(), clamp()
- ceil(), floor(), round()
- noise(), turbulence..