Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Derivatives and ConvexityExplores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.
Extrema of FunctionsCovers the concept of extrema of functions, including local and global maxima and minima.
Euler-Lagrange EquationsCovers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
