Advanced Calculus II

- Riemann Integrals
- Riemann Integrals, Riemann Sums, and Lebesgue Measure
- Fundamental Theorem of Calculus
- Absolute & Conditional Convergence and Square Summable Sequences

Advanced Mathematical Programming (using Optimization in Operations Research by Ronald L. Rardin)

- Knights, Knaves, & Werewolves and EMS Location Problem
- Dijkstra’s Algorithm, Uncapacitated Facility Location, and Completeness
- Unconstrained NLPs and Taylor Approximations
- Integer Programming, Knapsack Problem, and Branch & Bound Algorithm
- KKT Conditions and Langrangian Function

Design of Experiments

Discrete Optimization

- Integer Programs and Linear Relaxations
- Branch and Bound
- Discrete Improving Searches
- Simulated Annealing

Linear Programming

Modern Algebra (using Visual Group Theory by Nathan Carter)

Network Optimization

Sample Optimization Case Study

Stochastic Optimization