Adding this to .bash_profile updates the tab title when the directory changes

.bash_profile

# Adding this to .bash_profile updates the tab title when the directory changes
# can also manually name a tab eg: title FOOBAR

function title {
    export TITLE_OVERRIDDEN=1
    PROMPT_COMMAND=''
    echo -ne "\033]0;"$*"\007"
}

case "$TERM" in
xterm*|rxvt*)
    PROMPT_COMMAND='echo -ne "\033]0;${PWD##*/}\007"'
    show_command_in_title_bar()
    {
        if [[ "$TITLE_OVERRIDDEN" == 1 ]]; then return; fi
        case "$BASH_COMMAND" in
            *\033]0*)
                ;;
            *)
                echo -ne "\033]0;${BASH_COMMAND} - ${PWD##*/}\007"
                ;;
        esac
    }
    trap show_command_in_title_bar DEBUG
    ;;
*)
    ;;
esac