yes, if you can explain delta_v (Part 2: solution 1) in terms of the definitions of Part1. Would it be correct to say that delta_v(s) = alpha * E_t_s * delta_t?

In addition, i think there is a missing gamma (as a multiplier) in the second expression in the bottom line in 1-3,

∆V (s1) = α ∗ (r1 + γ ∗ VT −1(s2) − VT −1(s1)) + α (r2 + γ ∗ VT −1(s3) − VT −1(s2)) [* gamma?]

otherwise v_t_1(s2) would not be cancelled

and another missing gamma in 1-4 in the last updates in delta_v(s2)

∆V (s2) = α ∗ (r2 + γ ∗ VT −1(s3) − VT −1(s2)) + α (r3 + γ ∗ VT −1(sF ) − VT −1(s3)) * [* gamma?]

otherwise v_t_1(s3) would not be cancelled

thanks

Rafi