At Halle, Heine taught a variety of courses such as: potential theory and its applications, number theory, Fourier series, trigonometric series, mechanics, and the theory of heat. Wangerin, who was an undergraduate in Halle in 1862, and attended lectures by Heine, wrote:
At Halle, Heine tinuturuan ng iba't-ibang mga kurso tulad ng: mga potensyal na teorya at ang kanyang mga aplikasyon, numero ng teorya, Fourier series, trigonometriko serye, mechanics, at ang teorya ng init. Wangerin, na noon ay isang undergraduate sa Halle sa 1862, at nag-aral sa pamamagitan ng lektura Heine, wrote: