He was born Emil Hansen in the the border area of Germany and Denmark, later changing his last name to that of the town near where he was born. Nolde got a late start in painting, seeking training when in his early 30s. He was a modernist, first influenced by Impressionism, but gave that style up to become an expressionist. In the early twentieth century he was associated with Die Brücke and then with Der Blaue Reiter, key groups in early 1900s German Expressionism.
Nolde's Wikipedia entry is here, and another fairly long account of his career can be found here. For Nolde's relationship to the Nazi party and its dealings with his art, a useful source is this book.
It seems that Nolde was a Nazi party member -- but of the Danish, not the German one. He was a strong supporter of Hitler, but the regime favored völkisch art (traditional in technique, featuring Nordic, countryside and heroic subjects, among others). Expressionism of Nolde's kind fell into what was by the late 1930s considered "degenerate" art by Hitler's regime, and a number of his paintings were pulled from state galleries and some included in a exhibit of modernist art considered worthy of scorn. So his Nazi affiliations well as support by some high in the party hierarchy were not enough to counteract his style of painting in the earlier years of his career. He retreated to the land of his birth and worked largely in watercolor during the late 30s and the war years.
This was painted not long after his marriage, so the subject might be his wife. The style is Impressionist, but with a hint of Fauve coloring.
By 1910, Nolde was in full expressionist mode.
He came from a religious background and painted some religious subjects such as the crucifixion of Christ.
Adam seem miffed regarding Eve.
I have no date for this, though I think it might be a watercolor from the years when Nolde was in disfavor and spent most of his time in Seebüll, near the Danish border.
NOTE: The NSDAP in the title of this post refers to the National Socialist German Worker's Party, the German language version being commonly abbreviated to "Nazi." The term "national socialist" was intended to distinguish the party from international socialism, the leading generic leftist concept of 1920.