The Violin Concerto in A minor, BWV 1041, was composed by Johann Sebastian Bach. It is "generally thought to have been composed at Cöthen in 1717-23", although Christoph Wolff has raised the possibility that the work may have been written in Leipzig, perhaps during Bach's time as director of the Collegium Musicum. In any event, the only autograph source to survive are parts Bach copied out (along with other copyists) in Leipzig circa 1730 from a now lost score or draft.
The piece has three movements:

no tempo indication, in 2/4 meter;
Andante, in C (4/4) meter;
Allegro assai, in 9/8 meter.

The motifs of the theme of the Allegro moderato appear in changing combinations and are separated and intensified throughout the movement.

In the Andante Bach uses an insistent pattern in the ostinato bass part that is repeated constantly in the movement. He focuses the variation in the harmonic relations.

In the final movement Bach relies on bariolage figures to generate striking acoustic effects. The meter and rhythm are those of a gigue.

The piece is a baroque concerto which is in ritornello form. This means that there is a main section that comes back in fragments in both the solo violin, piano and orchestral parts. This 'ritornello' can be found in the first movement up until bar 24.

Johann Sebastian Bach (21 March 1685, O.S.31 March 1685, N.S. -- 28 July 1750, N.S.) was a German composer, organist, harpsichordist, violist, and violinist whose sacred and secular works for choir, orchestra, and solo instruments drew together the strands of the Baroque period and brought it to its ultimate maturity. Although he did not introduce new forms, he enriched the prevailing German style with a robust contrapuntal technique, an unrivalled control of harmonic and motivic organisation, and the adaptation of rhythms, forms and textures from abroad, particularly from Italy and France.

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