Convex Concave Configuration

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Explores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.

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Focuses on proving the Cellular Approximation Theorem, introducing polyhedra and piecewise linear maps.

Symmetry in Geometry

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Convex Optimization: Epigraphs

Explores epigraphs, convexity of bivariate functions, and log-sum-exp functions in convex optimization.

Linear constraints, Feasible directions

Explores feasible directions in optimization algorithms and how to determine them.

Convex Optimization: Introduction and Sets

Covers the fundamentals of convex optimization, including mathematical problems, minimizers, and solution concepts, with an emphasis on efficient methods and practical applications.

Linear and Integer Programming

Covers the theory of linear and integer programming, focusing on the integer hull and rational polyhedra.

From STL to SLI and CLI

Explores the transformation process from .STL to .SLI and .CLI formats.

Convex Optimization

Covers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.