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Explores central forces, trajectories, acceleration, and conic shapes in physics.
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Covers the synthesis of results from the first semester, focusing on flat curves, spatial curves, surfaces, and projections.
Elliptical Curves: Construction and Variants
Explores the construction and variants of elliptical curves, including historical stonecutting methods and architectural considerations.
Solving Linear Programs: SIMPLEX Method
Explains the SIMPLEX method for solving linear programs and optimizing the solution through basis variable manipulation.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Conic Sections: Ellipse, Parabola, Hyperbola
Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.
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.
Projective Geometry: Anharmonic Cross Ratio and Conics
Explores anharmonic cross ratio, projective geometry birth, and practical applications.
Ellipses in Mechanics
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