The primary topics in this part of the specialization are: shortest paths (Bellman-Ford, Floyd-Warshall, Johnson), NP-completeness and what it means for the algorithm designer, and strategies for coping with computationally intractable problems (analysis of heuristics, local search).
The Bellman-Ford algorithm; all-pairs shortest paths.
NP-complete problems and exact algorithms for them.
Approximation algorithms for NP-complete problems.
Local search algorithms for NP-complete problems; the wider world of algorithms.