Higher Mathematics - Lectures Part Two includes the second semester material of a four-semester lecture course on higher mathematics as it is obligatory in many study courses for natural and engineering sciences at German universities. The content selection in this volume was based on the lecture notes the author took during the summer semester 1982 at the Technische Universität München where he attended the respective lecture course held by Prof. Dr. Armin Leutbecher. The nine chapters of this volume provide introductions to the following concepts of mathematics: Fundamentals of Integral Calculus; Fourier Series; Euclidean Space; Linear Equations; Plane and Spatial Curves; Neighborhoods and Limits; Partial, Total and Higher Derivatives, Taylor Formula and Local Extrema; and Implicit Functions.