Here's an outline of topics your teacher can cover with you depending on your level of ability.

• The basics of Jazz Theory.
• Building a walking bass line.
• Locking in with a drummer.
• Learning jazz standards.
• The blues and its connection to jazz.

• More advanced theory, exploration of modes, non-functional harmony, scales and their connection to chord progressions, playing horizontally or vertically over chord progressions.
• Transcriptions of bass lines of the greats, analyzing their syles.
• Expanding rhythmic connection with a drummer, using more non-traditional grooves.
• Learning songs by ear.
• Other branches of jazz, such as fusion and latin jazz.
• Transcribing solos from bass players and other instrumentalists, such as Charlie Parker.

• Advanced theory, such as pentatonic scale relationships and bi-tonal harmony.
• Creating bass lines and grooves modeled after the great bass players.
• Exploration of advanced rhythmic concepts, such as odd-meter playing.
• Work on composition and how song structure relates to improvisation.
• Transcription and analysis of some of the greats of improvisation, including John Coltrane and Herbie Hancock.