Differential CalculationExplores the history and concepts of differential calculus, including tangent, derivative, limit, and various function derivatives.
Lagrange InterpolationIntroduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Curves and SurfacesCovers the representation of plane curves and the nature of obtained curves.
Differential Geometry: SurfacesExplores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Numerical IntegrationExplores numerical integration, properties of integrals, composite formulas, and error estimation.