Major 7th Chords are thought of as being 'jazzy' and are often used in jazz music.
Major 7th Chords tend to add more tension and dissonance to a chord progression than a major chord. They are often used to create a sense of movement and to create a sense of resolution to the tonic (or starting) chord.
Major 7th Chords are built from a major triad with an added major 7th interval.
Below is a list of shapes to learn to get you started:
C Major 7th Chord
Abbr.: Cmaj7 Notes: C, E, G, B
A Major 7th Chord
Abbr.: Amaj7 Notes: A, C#, E, G#
G Major 7th Chord
Abbr.: Gmaj7 Notes: G, B, D, F#
E Major 7th Chord
Abbr.: Emaj7 Notes: E, G#, B, D#
D Major 7th Chord
Abbr.: Dmaj7 Notes: D, F#, A, C#