# Overview Table

Can view relationship between mathematical content and supported disciplines in at least 2 ways:

• by mathematical subject
• by client discipline

Key: P = practical mastery; C = conceptual mastery

Mathematics Topic Comp. Eng. Comp. Sci. Sftwr. Eng. Info. Sys. Info. Tech. Comp-al. Sci. Big Data
Discrete Math.
Sets, relations, functions C C, P         C
Basic counting C, P C, P         C
Combinations, permutations C, P C, P
Graphs, trees C, P C, P       C
Logic
Propositional, predicate calculus C, P C, P C, P C, P C, P
Proof structure, techniques C, P C, P     C, P
Structural induction P C, P     C, P
Recursive definition C, P C, P     C, P
Calculus
1-variable P C   C   C, P C, P
multi-variable           C, P C, P
ODE           C, P
PDE           C, P
Linear Algebra
Matrices P C, P       C C
Decompositions           C, P C
Iterative methods           C C
Eigenvalues and eigenvectors           C, P C
Vector space theory
Probability
Finite probability C, P C, P       C C, P
Conditional prob., Bayes' Thm. P C, P       C C, P
Expectation P C, P       C C, P
Independence P C, P         C
Variance P C, P         C, P
Statistics
Distributions P         C, P C, P
Inference P   C     C, P C, P