Applied Math

Dynamical Systems & Differential Equations

Differential equations are "equations having an unknown functions and its derivative." Dynamical systems are when "a fixed rule describes the time dependence of a point in a geometrical space." [src]
Moderator: Moderators

Mathematical Physics

Mathematical physics is "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories." [src] Covers the topics:

• classical mechanics,
• quantum theory,
• relativity,
• string theory, and
• wave.

Moderator: Moderators

Computation

Computation is "the study of algorithms and data structures, and in scientific computing, the study of algorithmic methods for solving problems in math, science and engineering." [src] Topics include:

• computability and complexity,
• computer vision,
• formal language and literal string, and
• numerical analysis.

Moderator: Moderators

Information Theory & Signal Processing

Essentially, information theory "involves the quantification of information." Signal processing is "the analysis, interpretation, and manipulation of signals." [src] Topics include cryptography and algebraic coding.

Probability & Statistics

This is used to calculate uncertain events "or knowledge." Statistics, of course, is "the science with collecting and analyzing data." [src] Topics of study include:

• stochastic processes,
• probability distributions and theory, and
• regression analysis.

Moderator: Moderators

Game Theory

Game theory "uses model to study interactions with formalized incentive structures." [src]
Moderator: Moderators

Operations Research

"The study and use of mathematical models, statistics, and algorithms to aid in decision-making, typically with the goal of improving or optimizing performance of real-world systems." [src]
Moderator: Moderators