Alfred's books are great to start. You don't say if you could read music before or have any music knowledge.
I will assume this.
Follow up with scales, arpeggios, Chords in the circle of fifth. Start with major chords, then minor chords.
After that it depends on what type of music you want to play. I will assume classical since you are on this forum.
Here is something to wet your appetite from an old friend:
If you want specifically Beethoven, Bach and Mozart, you can start with those:
1. Bach – The Little book of Anna Magdalena Bach of 1725 (ABRSM) – the 25 pieces in there are not really by Bach, but rather instructional pieces that Anna collected for her own instruction and the children.
2. Bach – 18 Little preludes (Easier Piano Pieces no. 18 – ABRSM). Most of the pieces here are by Bach, but some are by his sons. They were used for the instruction of his children.
3. Beethoven – A book of dances (Easier Piano Pieces no. 20)- Particularly delightful are the Six Ecossaises (to be played as a set) WoO 83 – they sound immeasurably more difficult than they actually are (Kissin plays them as encore).
4. Mozart – The Nannerl notebook – Compiled by his father, Leopold this is a bit like the Little Notebook of A. M. Bach. There are sixty or so pieces from contemporary composers (most of them anonymous) and Leopold used it to teach Nanerl (Mozart’s sister the piano). Soon, Mozart was doing it as well, and the last 20 pieces or so are his own compositions (aged 4 –6).
5. Mozart – 25 Early Pieces (Easier Piano Pieces no. 67) – Mozart’s first compositions, between the ages of 5 and 9.
Make sure you follow this up with your teacher. After 3 months, it's time for you to sit down with your teacher and decide on the direction you and he want to go on.
Agree on this or find another teacher more to your liking.
Chances are though, you will find mutual ground as your teacher wants you to play better as much as you do.
Teachers often start with Alfred Books to see how the student responds and how quickly he learns. It is not meant to be played forever and by itself.
Hope this helps,