<PAGE>


                                                                    EXHIBIT 19.1


                      SALLIE MAE STUDENT LOAN TRUST 1995-1
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:    INDENTURE TRUSTEE                      ELIGIBLE LENDER TRUSTEE        
       Bankers Trust Company                  Chase Manhattan Bank Delaware 
       Four Albany Street, 10th Floor         1201 Market Street            
       New York, New York  10006              Wilmington, Delaware  19801   
       Attn:  Corporate Trust & Agency Group  Attn:  John J. Cashin         
                                                           
                                               
COPY:                                         The Chase Manhattan Bank, N.A.
                                              450 West 33rd Street
                                              New York, New York  10001
                                              Attn:  Corporate Trust Dept.


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1997 through December 31, 1997 under this Agreement 
and under the Servicing Agreement dated October 26, 1995 (as amended and 
restated as of April 26, 1996) has been made under our supervision, and (ii) 
to the best of our knowledge, the Servicer has fulfilled its obligations in 
all material respects under this Agreement and under the Servicing Agreement 
throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       13

<PAGE>


                      SALLIE MAE STUDENT LOAN TRUST 1996-1
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:   Indenture Trustee                       Eligible Lender Trustee        
      -----------------                       -----------------------        
      Bankers Trust Company                   Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor          1201 Market Street             
      New York, New York  10006               Wilmington, Delaware  19801    
      Attn:  Corporate Trust & Agency Group   Attn:  John J. Cashin          
                                              
                                                                            
COPY:                                         The Chase Manhattan Bank, N.A. 
                                              450 West 33rd Street           
                                              New York, New York  10001      
                                              Attn:  Corporate Trust Dept.   


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of March 6, 1996 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       14

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-2
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:   Indenture Trustee                      Eligible Lender Trustee         
      -----------------                      -----------------------         
      Bankers Trust Company                  Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor         1201 Market Street              
      New York, New York  10006              Wilmington, Delaware  19801     
      Attn: Corporate Trust & Agency Group   Attn:  John J. Cashin           
                                             
                                                                          
COPY:                                        The Chase Manhattan Bank, N.A.   
                                             450 West 33rd Street             
                                             New York, New York  10001        
                                             Attn:  Corporate Trust Dept.     


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of April 26, 1996 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       15

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-3
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:    Indenture Trustee                      Eligible Lender Trustee         
       -----------------                      -----------------------         
       Bankers Trust Company                  Chase Manhattan Bank Delaware
       Four Albany Street, 10th Floor         1201 Market Street          
       New York, New York  10006              Wilmington, Delaware  19801    
       Attn:  Corporate Trust & Agency Group  Attn:  John J. Cashin          
                                              
                                                                             
COPY:                                         The Chase Manhattan Bank, N.A.  
                                              450 West 33rd Street            
                                              New York, New York  10001       
                                              Attn:  Corporate Trust Dept.    


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of July 9, 1996 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       16

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-4
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:   Indenture Trustee                       Eligible Lender Trustee         
      -----------------                       -----------------------         
      Bankers Trust Company                   Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor          1201 Market Street            
      New York, New York  10006               Wilmington, Delaware  19801    
      Attn:  Corporate Trust & Agency Group   Attn:  John J. Cashin           
                                              
                                                                              
COPY:                                         The Chase Manhattan Bank, N.A.
                                              450 West 33rd Street            
                                              New York, New York  10001       
                                              Attn:  Corporate Trust Dept.    


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of October 3, 1996 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       17

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-1
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:   INDENTURE TRUSTEE                       ELIGIBLE LENDER TRUSTEE         
      Bankers Trust Company                   Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor          1201 Market Street              
      New York, New York  10006               Wilmington, Delaware  19801     
      Attn:  Corporate Trust & Agency Group   Attn:  John J. Cashin           
                                              
                                                                              
COPY:                                         The Chase Manhattan Bank, N.A.  
                                              450 West 33rd Street            
                                              New York, New York  10001       
                                              Attn:  Corporate Trust Dept.    


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of March 20, 1997 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       18

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-2
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


To:   Indenture Trustee                       Eligible Lender Trustee         
      -----------------                       -----------------------         
      Bankers Trust Company                   Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor          1201 Market Street             
      New York, New York  10006               Wilmington, Delaware  19801    
      Attn:  Corporate Trust & Agency Group   Attn:  John J. Cashin          
                                              
                                                                               
COPY:                                         The Chase Manhattan Bank, N.A.   
                                              450 West 33rd Street             
                                              New York, New York  10001        
                                              Attn:  Corporate Trust Dept.     
                                               


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of June 18, 1997 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       19

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-3
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


To:   Indenture Trustee                      Eligible Lender Trustee         
      -----------------                      -----------------------         
      Bankers Trust Company                  Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor         1201 Market Street            
      New York, New York  10006              Wilmington, Delaware  19801    
      Attn:  Corporate Trust & Agency Group  Attn:  John J. Cashin           
                                             
                                                                              
COPY:                                        The Chase Manhattan Bank, N.A.   
                                             450 West 33rd Street             
                                             New York, New York  10001        
                                             Attn:  Corporate Trust Dept.     


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of September 11, 1997 has been 
made under our supervision, and (ii) to the best of our knowledge, the 
Servicer has fulfilled its obligations in all material respects under this 
Agreement and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       20

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-4
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:   Indenture Trustee                       Eligible Lender Trustee         
      -----------------                       -----------------------         
      Bankers Trust Company                   Chase Manhattan Bank Delaware
      Four Albany Street, 10th Floor          1201 Market Street             
      New York, New York  10006               Wilmington, Delaware  19801    
      Attn:  Corporate Trust & Agency Group   Attn:  John J. Cashin          
                                              
                                                                              
COPY:                                         The Chase Manhattan Bank, N.A.  
                                              450 West 33rd Street            
                                              New York, New York  10001       
                                              Attn:  Corporate Trust Dept.    
                                              


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from January 1, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of November 12, 1997 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       21

<PAGE>


                          SLM STUDENT LOAN TRUST 1998-1
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:    Indenture Trustee                      Eligible Lender Trustee         
       -----------------                      -----------------------         
       Bankers Trust Company                  Chase Manhattan Bank Delaware
       Four Albany Street, 10th Floor         1201 Market Street              
       New York, New York  10006              Wilmington, Delaware  19801     
       Attn:  Corporate Trust & Agency Group  Attn:  John J. Cashin           
                                              
                                                                               
COPY:                                         The Chase Manhattan Bank, N.A.   
                                              450 West 33rd Street             
                                              New York, New York  10001        
                                              Attn:  Corporate Trust Dept.     


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from March 19, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of March 19, 1998 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       22

<PAGE>


                          SLM STUDENT LOAN TRUST 1998-2
                      OFFICER'S CERTIFICATE OF THE SERVICER
                         ANNUAL STATEMENT OF COMPLIANCE
                             AS OF DECEMBER 31, 1998


TO:    INDENTURE TRUSTEE                      ELIGIBLE LENDER TRUSTEE         
       Bankers Trust Company                  Chase Manhattan Bank Delaware
       Four Albany Street, 10th Floor         1201 Market Street            
       New York, New York  10006              Wilmington, Delaware  19801   
       Attn:  Corporate Trust & Agency Group  Attn:  John J. Cashin         
                                              
                                                                              
COPY:                                         The Chase Manhattan Bank, N.A.  
                                              450 West 33rd Street            
                                              New York, New York  10001       
                                              Attn:  Corporate Trust Dept.    


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we 
hereby certify that (i) a review of the activities and performance of the 
Servicer from June 18, 1998 through December 31, 1998 under this Agreement 
and under the Servicing Agreement dated as of June 18, 1998 has been made 
under our supervision, and (ii) to the best of our knowledge, the Servicer 
has fulfilled its obligations in all material respects under this Agreement 
and under the Servicing Agreement throughout such period.

--------------------------------------------------------------------------------


SALLIE MAE SERVICING CORPORATION, as Servicer
11600 Sallie Mae Drive
Reston, Virginia  20193


/s/ THOMAS P. BRISSON
---------------------
Thomas P. Brisson, Vice President, Servicing


/s/ JOHN F. WALLERSTEDT
-----------------------
John F. Wallerstedt, Vice President and Treasurer


                                       23

<PAGE>


                      SALLIE MAE STUDENT LOAN TRUST 1995-1
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                            ELIGIBLE LENDER TRUSTEE
-----------------                            -----------------------
Bankers Trust Company                        Chase Manhattan Bank Delaware
Four Albany Street                           1201 Market Street
New York, NY 10006                           Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                   Attn: John Cashin,
Corporate Trust and Agency Group             Corporate Trust Division
(212) 250-6549                               (302) 428-3375


ADMINISTRATOR                                SERVICER
-------------                                --------
Student Loan Marketing Association           Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                       11600 Sallie Mae Drive
Reston, Virginia 20190-4798                  Reston, Virginia 20193
Attn: Assistant Vice President,              ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       24

<PAGE>


                      SALLIE MAE STUDENT LOAN TRUST 1996-1
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                              ELIGIBLE LENDER TRUSTEE
-----------------                              -----------------------
Bankers Trust Company                          Chase Manhattan Bank Delaware
Four Albany Street                             1201 Market Street
New York, NY 10006                             Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                     Attn: John Cashin,
Corporate Trust and Agency Group               Corporate Trust Division
(212) 250-6549                                 (302) 428-3375


ADMINISTRATOR                                  SERVICER
-------------                                  --------
Student Loan Marketing Association             Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                         11600 Sallie Mae Drive
Reston, Virginia 20190-4798                    Reston, Virginia 20193
Attn: Assistant Vice President,                ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE
--------------------                        -------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       25

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-2
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                             ELIGIBLE LENDER TRUSTEE
-----------------                             -----------------------
Bankers Trust Company                         Chase Manhattan Bank Delaware
Four Albany Street                            1201 Market Street
New York, NY 10006                            Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                    Attn: John Cashin,
Corporate Trust and Agency Group              Corporate Trust Division
(212) 250-6549                                (302) 428-3375


ADMINISTRATOR                                SERVICER
-------------                                 --------
Student Loan Marketing Association            Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Assistant Vice President,               ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       26

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-3
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                              ELIGIBLE LENDER TRUSTEE
-----------------                              -----------------------
Bankers Trust Company                          Chase Manhattan Bank Delaware
Four Albany Street                             1201 Market Street
New York, NY 10006                             Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                     Attn: John Cashin,
Corporate Trust and Agency Group               Corporate Trust Division
(212) 250-6549                                 (302) 428-3375


ADMINISTRATOR                                  SERVICER
-------------                                  --------
Student Loan Marketing Association             Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                         11600 Sallie Mae Drive
Reston, Virginia 20190-4798                    Reston, Virginia 20193
Attn: Assistant Vice President,                ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       27

<PAGE>


                          SLM STUDENT LOAN TRUST 1996-4
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                             ELIGIBLE LENDER TRUSTEE
-----------------                             -----------------------
Bankers Trust Company                         Chase Manhattan Bank Delaware
Four Albany Street                            1201 Market Street
New York, NY 10006                            Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                    Attn: John Cashin,
Corporate Trust and Agency Group              Corporate Trust Division
(212) 250-6549                                         (302) 428-3375


ADMINISTRATOR                                 SERVICER
-------------                                 --------
Student Loan Marketing Association            Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Assistant Vice President,               ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       28

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-1
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                           ELIGIBLE LENDER TRUSTEE
-----------------                           -----------------------
Bankers Trust Company                       Chase Manhattan Bank Delaware
Four Albany Street                          1201 Market Street
New York, NY 10006                          Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                  Attn: John Cashin,
Corporate Trust and Agency Group            Corporate Trust Division
(212) 250-6549                                       (302) 428-3375


ADMINISTRATOR                               SERVICER
-------------                               --------
Student Loan Marketing Association          Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                      11600 Sallie Mae Drive
Reston, Virginia 20190-4798                 Reston, Virginia 20193
Attn: Assistant Vice President,             ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       29

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-2
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                               ELIGIBLE LENDER TRUSTEE
-----------------                               -----------------------
Bankers Trust Company                           Chase Manhattan Bank Delaware
Four Albany Street                              1201 Market Street
New York, NY 10006                              Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                      Attn: John Cashin,
Corporate Trust and Agency Group                Corporate Trust Division
(212) 250-6549                                  (302) 428-3375


ADMINISTRATOR                                  SERVICER
-------------                                  --------
Student Loan Marketing Association             Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                         11600 Sallie Mae Drive
Reston, Virginia 20190-4798                    Reston, Virginia 20193
Attn: Assistant Vice President,                ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       30

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-3
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                             ELIGIBLE LENDER TRUSTEE
-----------------                             -----------------------
Bankers Trust Company                         Chase Manhattan Bank Delaware
Four Albany Street                            1201 Market Street
New York, NY 10006                            Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                    Attn: John Cashin,
Corporate Trust and Agency Group              Corporate Trust Division
(212) 250-6549                                         (302) 428-3375


ADMINISTRATOR                                 SERVICER
-------------                                 --------
Student Loan Marketing Association            Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Assistant Vice President,               ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       31

<PAGE>


                          SLM STUDENT LOAN TRUST 1997-4
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                           ELIGIBLE LENDER TRUSTEE
-----------------                           -----------------------
Bankers Trust Company                       Chase Manhattan Bank Delaware
Four Albany Street                          1201 Market Street
New York, NY 10006                          Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                  Attn: John Cashin,
Corporate Trust and Agency Group            Corporate Trust Division
(212) 250-6549                              (302) 428-3375


ADMINISTRATOR                               SERVICER
-------------                               --------
Student Loan Marketing Association          Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                      11600 Sallie Mae Drive
Reston, Virginia 20190-4798                 Reston, Virginia 20193
Attn: Assistant Vice President,             ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from January 1, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       32

<PAGE>


                          SLM STUDENT LOAN TRUST 1998-1
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                            ELIGIBLE LENDER TRUSTEE
-----------------                            -----------------------
Bankers Trust Company                        Chase Manhattan Bank Delaware
Four Albany Street                           1201 Market Street
New York, NY 10006                           Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                   Attn: John Cashin,
Corporate Trust and Agency Group             Corporate Trust Division
(212) 250-6549                               (302) 428-3375


ADMINISTRATOR                                 SERVICER
-------------                                 --------
Student Loan Marketing Association            Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Assistant Vice President,               ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from March 19, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       33

<PAGE>


                          SLM STUDENT LOAN TRUST 1998-2
                              OFFICER'S CERTIFICATE


INDENTURE TRUSTEE                             ELIGIBLE LENDER TRUSTEE
-----------------                             -----------------------
Bankers Trust Company                         Chase Manhattan Bank Delaware
Four Albany Street                            1201 Market Street
New York, NY 10006                            Wilmington, Delaware 19801
Attn: Raymond Delli Colli,                    Attn: John Cashin,
Corporate Trust and Agency Group              Corporate Trust Division
(212) 250-6549                                         (302) 428-3375


ADMINISTRATOR                                 SERVICER
-------------                                 --------
Student Loan Marketing Association            Sallie Mae Servicing Corporation
11600 Sallie Mae Drive                        11600 Sallie Mae Drive
Reston, Virginia 20190-4798                   Reston, Virginia 20193
Attn: Assistant Vice President,               ATTN: Director ABS Administration
Corporate Finance Operations
(703) 810-7711


--------------------------------------------------------------------------------
--------------------------------------------------------------------------------


Pursuant to Section 3.2 of the Administration Agreement (the "Agreement"), we,
the undersigned, hereby certify that (i) a review of the activities and
performance of the Administrator from June 18, 1998 through December 31, 1998
has been made under our supervision and (ii) to the best of our knowledge, based
on such review, the Administrator has fulfilled its obligations in all material
respects under the Agreement throughout such period.


December 31, 1998


STUDENT LOAN MARKETING ASSOCIATION, AS ADMINISTRATOR


/S/ MARK G. OVEREND                         /S/ J. LANCE FRANKE 
--------------------                        --------------------
Mark G. Overend, Chief Financial Officer    J. Lance Franke, Authorized Agent
Student Loan Marketing Association          Student Loan Marketing Association


                                       34