  In this article, we analyse the Bistritzer--MacDonald (BM) model (also known
as the continuum model) of twisted bilayer graphene (TBG) with an additional
external magnetic field. We provide an explicit semiclassical asymptotic
expansion of the density of states (DOS) in the limit of strong magnetic
fields. The explicit expansion of the DOS enables us to study magnetic response
properties such as magnetic oscillations which includes Shubnikov-de Haas and
de Haas-van Alphen oscillations as well as the integer quantum Hall effect. In
particular, we elucidate the role played by different types of interlayer
tunnelings ($AA^{\prime}$/$BB^{\prime}$ vs. $AB^{\prime}$/$BA^{\prime}$) in the
study of the DOS, and magnetic properties.
