Mit leidenschaftlichem Ausdruck
The first movement begins passionately, with the theme first played by the violin and amenable like so many of Schumann's themes to canonic treatment; Schumann once remarked on this fact himself. This theme serves to introduce a compact, driven sonata form pushed ahead by economical use of rhythms (new themes often are based on some of the same rhythms as older ones, and overlap with them as well). The sonata is also driven by the intensity added by canonic treatment of themes, revolving around and pushing towards a small number of climaxes, one of which is the reappearance of the opening theme in a much-slowed-down form just preceding (and followed without pause by) the recapitulation.
The coda is in two parts — quiet sustained over an F-E pedal with several recurrences of the main theme, gaining intensity and leading to a section — most of a page — in which the violin has running sixteenth notes, the piano mostly chords, until the final harmonies A major - A minor - B diminished - E major - A minor.
Lebhaft
The finale begins with a theme similar to that which opens Felix Mendelssohn's second piano trio. The sixteenth-note motion dominates the exposition, present in all but a few bars. A group of themes in F major enters about halfway through the fifty-eight bar exposition, but is quickly diverted back to the main flow of A minor. The development introduces new themes mostly based on the exposition's material (some by augmentation and other variation) and treats them, again, canonically before gradually introducing a songful episode. This is also based on the main material of the movement, and is only a brief moment in which to relax before the scurrying sixteenths return. A transitional passage leads to the recapitulation, which is for about twenty bars the same as the equivalent passage in the exposition. The material which leads to the second group opens in C major this time rather than A minor, however, and the second group is heard in A major.
The major-mode themes are accorded slightly less space this time around before A minor returns in the form of a quiet pair of octaves, F in tremolo in the left hand and A held in the right, occasionally alternating with the scurrying sixteenths; over which the violin plays the longer version of its main theme from the first movement, twice, then, crescendo, joins in the piano's perpetual motion frenzy until a recall of the canonic theme that had opened the development is reached - now played sforzando (mit Violoncell, Schumann also writes), opening the last stage of the coda punctuating the rush to the final chords sixteen bars later.
The sonata was published, by Hofmeister in 1852 or perhaps late 1851[4] as a sonata for piano and violin, not violin and piano.[5]