Discrete Mathematics involves math where the values and structures
that are "used" in the mathematics only occur in distinct
intervals. For example, a mathematics where only integers, and no
fractional numbers, are used would be a discrete mathematical system.
Such systems are often used in computer science. A world where things
are either "on" or "off" and never halfway in
between is a world of discrete mathematics.
Non-Magnet Juniors and Seniors may also take this course if they
have completed A.P. Computer Science or Analysis of Algorithms, and
Precalculus with Analysis.
Topics include:
- Sets
- Survey Sampling
- Ballot Counting Methods
- Graphs
- Definitions and Terminology
- Depth, Breath and Dijkstra Paths and Circuits
- Scheduling
- Trees
- Search Trees
- Minimum Spanning Trees
- Counting Theory
- Sum and Product Rules
- Permutations
- Combinations
- Probability
- Terms and Definitions
- Conditional Probability
- Bayes' Theorem
- Expected Value
- Linear Programming
- Graphical Solutions
- Algebraic Solutions
- Geometrical Solutions
- The Simplex Algorithm
- Matrices
- Matrix Arithmetic
- Gauss-Jordan Elimination
- Game Theory
- Pure Strategies
- Mixed Strategies