Overview Table

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

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
Conditioning/Adjustment           C, P C, P
Hypothesis testing           C, P C, P
Mathematical Modeling              
Architectures           C, P C, P
Simulations           C, P C