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Explores the transition of knots from practical applications to mathematical theory, covering equilibrium, tension analysis, ideal shapes, DNA mechanics, and pressure distributions.
Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.
Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Covers the steady-state approximation method applied to chemical reactions and introduces the pseudo-first order method.
Covers the study of affine plane curves and their properties, including the concept of multiplicity and its applications.
