Introduction to Mathematical Programming: Applications and Algorithms
Introduction to Mathematical Programming: Applications and Algorithms
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To address the challenge of developing students' mathematical intuition in our nonlinear optimization course, we crafted a novel methodology that integrates guided classroom discussions, graphical explorations using a custom procedure written to support unique MAPLE graphics, and an instructor led outside-the-classroom exercise that provides a common referential experience against which students can communicate their understanding of nonlinear search techniques that form the core of our course content. Rather than attempting to fabricate our perception of what should be a shared experience for our students, we created an actual terrain walk exercise to fill this need. Our students use this experience as a reference point for explaining their insights, critiquing suggested improvements or modifications in basic local search algorithms, and for illuminating the costs and benefits of adopting various search strategies in light of underlying problem characteristics.