This isn't so much an answer as a clarification on terminology. Your question asks about raw, standarized, and studentized residuals. However, this is not the terminology used by most statisticians, though I note your class notes state that it is.

Raw: same as you have it.

Standardized: this is actually the raw residuals divided by the true standard deviation of the residuals. As the true standard deviation is rarely known, a standardized residual is almost never used.

Internally Studentized: because the true standard deviation of the residuals is not typically known, the estimated standard deviation is used instead. This is an interanlly studentized residual, and it is what you called standardized.

Externally Studentized: the same as the internally studentized residual, except that the estimate of the standard deviation of the residuals is calcuated from a regression leaving out the observation in question.

Pearson: the raw residual divided by the standard deviation of the response variable (the y variable) rather than of the residuals. You don't have this one listed.

"leave one out": Doesn't have a formal name, but it is the same as the class notes.

standarized "leave one out": also doesn't have a formal name, but this is not what the class notes call studentized.

Sources:

1. the same wiki link you have about studentized residuals ("a studentized residual is the quotient resulting from the division of a residual by an estimate of its standard deviation", http://en.wikipedia.org/wiki/Studentized_residual)

2. documentation for residual calculation in SAS: http://support.sas.com/documentation/cdl/en/statug/63347/HTML/default/viewer.htm#statug_intromod_a0000000355.htm

This isn't so much an answer as a clarification on terminology. Your question asks about raw, standarized, and studentized residuals. However, this is not the terminology used by most statisticians, though I note your class notes state that it is.

Raw: same as you have it.

Standardized: this is actually the raw residuals divided by the true standard deviation of the residuals. As the true standard deviation is rarely known, a standardized residual is almost never used.

Internally Studentized: because the true standard deviation of the residuals is not typically known, the estimated standard deviation is used instead. This is an interanlly studentized residual, and it is what you called standardized.

Externally Studentized: the same as the internally studentized residual, except that the estimate of the standard deviation of the residuals is calcuated from a regression leaving out the observation in question.

Pearson: the raw residual divided by the standard deviation of the response variable (the y variable) rather than of the residuals. You don't have this one listed.

"leave one out": Doesn't have a formal name, but it is the same as the class notes.

standarized "leave one out": also doesn't have a formal name, but this is not what the class notes call studentized.

Sources:

1. the same wiki link you have about studentized residuals ("a studentized residual is the quotient resulting from the division of a residual by an estimate of its standard deviation")

2. documentation for residual calculation in SAS