This course focuses on advancing students' mathematical understanding of operations research, covering Non-Linear Programming for complex optimization problems, and Dynamic Programming for decision-making in multi-stage processes. The course introduces Waiting Line Models, applying probabilistic concepts to analyze queueing systems. Markov Analysis is also covered, providing insights into stochastic process models. Lastly, students will be introduced to the basic principles of Game Theory, exploring strategic decision-making in mathematical terms. Each topic is presented with a balance of theoretical rigor and approachability, ensuring students comprehend both the mathematical foundations and the conceptual relevance of these advanced operations research techniques. This course advances students' knowledge in operations research, laying the groundwork for application-based courses.