GSE SYSTEMS, INC.





            SENIOR SUBORDINATED SECURED CONVERTIBLE NOTE AND WARRANT
                               PURCHASE AGREEMENT





                                  May 26, 2005



                               GSE SYSTEMS, INC.

            SENIOR SUBORDINATED SECURED CONVERTIBLE NOTE AND WARRANT
                               PURCHASE AGREEMENT

     This Senior  Subordinated  Secured  Convertible  Note and Warrant  Purchase
Agreement  (the  "Agreement")  is made  as of the  26th  day of May  2005 by and
between GSE Systems,  Inc., a Delaware corporation (the "Company"),  and Dolphin
Direct Equity Partners, LP, a Delaware limited partnership (the "Investor").

                                    RECITALS

     The  Company  desires  to issue  and  sell,  and the  Investor  desires  to
purchase,  a senior  subordinated  secured  convertible  promissory  note of the
Company in the aggregate  principal amount of $2,000,000 in the form attached to
this  Agreement as Exhibit A (the  "Note"),  which shall be  convertible  on the
terms stated therein into equity securities of the Company.

     The Company desires to issue and the Investor  desires to receive a warrant
to purchase an  aggregate  of 380,952  shares (the  "Warrant  Shares") of common
stock,  par value $0.01 per share (the  "Common  Stock"),  of the Company in the
form attached to this  Agreement as Exhibit B (the  "Warrant").   The Note,  the
Warrant and the Common Stock  issuable upon  conversion or exercise  thereof are
collectively  referred to herein as the  "Securities."  References herein to the
Company include the Company and each of its Subsidiaries (as defined below).

                                   AGREEMENT

     In consideration of the mutual promises contained herein and other good and
valuable consideration,  receipt of which is hereby acknowledged, the parties to
this Agreement agree as follows:

          1. Purchase and Sale of Note and Warrant.

               (a) Sale and Issuance of Note and  Warrant.  Subject to the terms
and conditions of this Agreement, the Investor agrees to purchase at the Closing
(as defined below),  and the Company agrees to sell and issue to the Investor at
the Closing,  for a purchase  price of $2,000,000  delivered in accordance  with
Section 1(b)(ii) below, the Note and the Warrant.

               (b) Closing; Delivery.

                    (i) The purchase  and sale of the Note and Warrant  referred
to in Section  1(a) shall take place  simultaneously  herewith at the offices of
Hughes  Hubbard & Reed LLP,  One Battery Park Plaza,  New York,  NY 10004 (which
time and place are designated as the "Closing").

                    (ii) At the Closing,  the Company  shall execute and deliver
to the  Investor  the Note and the  Warrant to be  purchased  or received by the
Investor as contemplated above, the escrow agreement in the form attached hereto
as  Exhibit  C (the  "Escrow  Agreement")(also  executed  and  delivered  by the
Investor and the escrow agent  thereunder),  the security  agreement in the form
attached  hereto  as  Exhibit D (the  "Security  Agreement")(also  executed  and
delivered by the Investor),  the pledge agreement in the form attached hereto as
Exhibit E (the "Pledge Agreement")(also executed and delivered by the Investor),
the  subordination  agreement  in the form  attached  hereto  as  Exhibit F (the
"Subordination  Agreement")  (also  executed  and  delivered by the Investor and
Wachovia Bank, National Association) and each other document or instrument to be
executed  in   connection   herewith  or  therewith   (all  of  the   foregoing,
collectively, the "Transaction Documents"),  against delivery by the Investor of
(A) the  purchase  price as follows:  (1) a wire  transfer to  the escrow  agent
under the Escrow  Agreement  in the amount of  $500,000 in  accordance  with the
terms  hereof and  thereof,  (2) payment to the  Investor in the  aggregate  net
amount of  $109,000,  consisting  of (w) a closing fee in the amount of $78,000,
plus (x) a structuring fee in the amount of $13,500, plus (y) a reimbursement of
legal expenses in the amount of $25,000, minus (z) a prepayment in the amount of
$7,500,  which  aggregate  net amount shall be retained by the Investor from the
purchase  price,  and (3) a wire transfer to a bank designated by the Company in
the amount of the purchase price  contemplated  by Section 1(a) above,  less the
$500,000  referred to in clause (1) above and the $109,000 referred to in clause
(2) above, and (B) such documentation as is required pursuant to this Agreement.

     2.  Representations  and  Warranties  of the  Company.  The Company  hereby
represents and warrants to the Investor as follows:

          (a) Duly  Incorporated.  Each of the Company and the  Subsidiaries (as
defined in the Note) is a corporation duly incorporated, validly existing and in
good standing under the laws of its respective  jurisdiction of incorporation or
formation,  as the case may be, with the  requisite  power and authority to own,
lease  and  operate  its  respective   properties  and  conduct  its  respective
businesses  as  presently  conducted  or proposed to be  conducted,  and is duly
qualified to do business as a foreign  corporation in good standing in all other
jurisdictions where the ownership or leasing of its properties or the conduct of
its  business  requires  such  qualification,  except where the failure to be so
qualified would not,  individually or in the aggregate,  have a Material Adverse
Effect (as defined below).

          (b) Corporate Power. The execution and delivery of this Agreement, the
Note,  the  Warrant,   the  Security  Agreement,   the  Pledge  Agreement,   the
Subordination  Agreement  and each  other  Transaction  Document  are within the
Company's and each  Subsidiary's,  as the case may be, powers and have been duly
authorized by all necessary corporate and, if required,  stockholder action. The
Transaction  Documents  have been duly executed and delivered by the Company and
each Subsidiary  party thereto and each  constitutes a legal,  valid and binding
obligation of the Company and the  Subsidiaries  party thereto,  as the case may
be,  enforceable  in  accordance  with its  terms,  except as may be  limited by
applicable bankruptcy, insolvency, reorganization,  moratorium and other similar
laws affecting the enforcement of creditors' rights generally and general equity
principles (whether considered in a proceeding in equity or at law).

          (c) Capitalization.  The capitalization of the Company is set forth in
the Company's  Annual Report on Form 10-K for the fiscal year ended December 31,
2004 as filed with the  Commission  (as defined  below) prior to the date hereof
(the  "Form  10-K"),  and the  information  set  forth in the Form 10-K is true,
correct  and  complete in all  material  respects  as of the date  thereof.  The
Company does not own directly or indirectly more than 5% of any class of capital
stock or  other  equity  or  long-term  debt  securities  of or have any  equity
interest in excess of 5% of any other person,  other than the  Subsidiaries  and
Red Storm Scientific LLC; all of the outstanding  shares of capital stock of the
Company and each Subsidiary that is a corporation  have been duly authorized and
validly  issued,  are  fully  paid and  non-assessable  and were not  issued  in
violation of any  preemptive  or similar  rights and are owned free and clear of
all liens,  encumbrances,  equities and restrictions on  transferability  (other
than  those imposed by the  Securities  Act (as  defined  below)  and  the state
securities  or "Blue Sky" laws) or voting.  Except as set forth in the Company's
Quarterly  Report on Form 10-Q for the period  ended  March 31, 2005 (the "March
31, 2005 Form 10-Q"), no options,  warrants or other rights to purchase from the
Company, agreements or other obligations of the Company to issue or other rights
to convert any  obligation  into,  or exchange  any  securities  for,  shares of
capital stock of or ownership  interests in the Company are outstanding.  Except
as  reflected  in the SEC  Reports (as defined  below),  there is no  agreement,
understanding  or arrangement  among the Company and each of its stockholders or
any other person  relating to the ownership or  disposition of any capital stock
of the Company or any  Subsidiary or the election of directors of the Company or
the  governance  of  the  Company's  affairs,  and,  if  any,  such  agreements,
understandings  and arrangements will not be breached or violated as a result of
the  execution  and  delivery  of,  or  the  consummation  of  the  transactions
contemplated by, the Transaction Documents.

          (d) No  Consents.  The  execution  and  delivery  of  the  Transaction
Documents and the issuance of the Securities (i) does not require any consent or
approval  of,  registration  or  filing  with,  or  any  other  action  by,  any
governmental  authority,  (ii) will not violate any applicable law or regulation
applicable to the Company or any Subsidiary or the articles of  incorporation or
comparable formation documentation of the Company or any Subsidiary,  the bylaws
or comparable  documentation of the Company or any Subsidiary or other agreement
of the  Company or any  subsidiary  or any order of any  governmental  authority
applicable to the Company or any of its subsidiaries, (iii) will not violate any
agreement  of the  Company or any  Subsidiary  or result in a default  under any
agreement or instrument  evidencing or governing any indebtedness of the Company
or any  Subsidiary or assets of the Company or any  Subsidiary or give rise to a
right  thereunder  to  require  any  payment  to be made by the  Company  or any
Subsidiary,  and (iv) will not result in the creation or  imposition of any lien
on any asset of the  Company  or any  Subsidiary,  except  for liens  created or
imposed pursuant to this Agreement.

          (e) SEC Reports; Financial Statements;  Sarbanes-Oxley Act Compliance.
The  Company  has  filed  all  reports  required  to be filed  by it  under  the
Securities  Act of 1933, as amended (the  "Securities  Act") and the  Securities
Exchange Act of 1934, as amended (the  "Exchange  Act"),  including  pursuant to
Section  13(a) or Section  15(d) of the  Exchange  Act,  for the three (3) years
preceding the date hereof (or such shorter period as the Company was required by
law to file such  material)  (the  foregoing  materials,  including the exhibits
thereto,  being  collectively  referred to herein as the "SEC  Reports").  As of
their respective  dates, the SEC Reports complied in all material  respects with
the  requirements  of the  Securities Act and the Exchange Act and the rules and
regulations  of  the  Securities  and  Exchange  Commission  (the  "Commission")
promulgated thereunder, as applicable,  and none of the SEC Reports, when filed,
contained any untrue statement of a material fact or omitted to state a material
fact required to be stated  therein or necessary in order to make the statements
therein,  in  light  of the  circumstances  under  which  they  were  made,  not
misleading.  Since  January 1, 2004,  the staff of the  Division of  Corporation
Finance of the  Commission has not provided the Company with any comments on any
registration statement, report or other document filed with the Commission under
the Securities Act or the Exchange Act. The financial  statements of the Company
included in the SEC Reports  comply in all  material  respects  with  applicable
accounting  requirements  and the rules and  regulations of the Commission  with
respect  thereto as in effect at the time of filing.  Such financial  statements
have  been  prepared  in  accordance  with  United  States  generally   accepted
accounting  principles applied on a consistent basis during the periods involved
("GAAP"),  except as may be otherwise specified in such financial  statements or
the notes thereto and except that unaudited financial statements may not contain
all footnotes required by GA AP, and fairly present in all material respects the
financial  position of the Company and its  consolidated  subsidiaries as of and
for the dates  thereof  and the  results  of  operations  and cash flows for the
periods then ended,  subject,  in the case of unaudited  statements,  to normal,
immaterial,  year-end audit adjustments.  KPMG LLP, which have certified certain
financial statements of the Company and its consolidated  subsidiaries  included
in the SEC  Reports,  are  independent  public  accountants  as  required by the
Securities Act, the Exchange Act and the respective rules and regulations of the
Commission  thereunder  and are  registered and in good standing with the Public
the Company Accounting Oversight Board in accordance with the Sarbanes-Oxley Act
of 2002.  Except as  disclosed  as such in the SEC  Reports,  the  Company is in
compliance with all applicable  material  requirements of the Sarbanes-Oxley Act
of 2002 and  applicable  rules and  regulations  promulgated  by the  Commission
thereunder in effect as of the date of this Agreement. The Company does not have
pending  before  the  Commission  any  request  for  confidential  treatment  of
information.

          (f) Material Changes. Since December 31, 2004, other than as described
in registration statements and reports filed with the Commission,  (i) there has
been no event,  occurrence or development  that has had or that could reasonably
be expected  to result in a Material  Adverse  Effect,  (ii) the Company has not
incurred any material liabilities (contingent or otherwise) other than (A) trade
payables  and  accrued  expenses  incurred  in the  ordinary  course of business
consistent  with past practice and (B)  liabilities not required to be reflected
in the  Company's  financial  statements  pursuant  to  GAAP or  required  to be
disclosed in filings made with the Commission, (iii) the Company has not altered
its method of accounting, (iv) the Company has not declared or made any dividend
or  distribution  of cash or other  property to its  holders of Common  Stock or
purchased,  redeemed or made any  agreements to purchase or redeem any shares of
its capital  stock and (v) the Company has not issued any equity  securities  to
any officer,  director or affiliate,  except pursuant to existing  Company stock
option plans. For purposes herein, a "Material  Adverse Effect" shall mean (i) a
material  adverse  effect on the  legality,  validity or  enforceability  of any
Transaction  Documents,  (ii)  a  material  adverse  effect  on the  results  of
operations,  assets,  business  or  financial  condition  of the Company and the
Subsidiaries,  taken  as a whole,  or (iii) a  material  adverse  effect  on the
Company's  ability  to  perform in any  material  respect on a timely  basis its
obligations under the Transaction Documents.

          (g) Litigation. Other than potential claims by Dion Freedman, a former
employee of the Company  (the  "Freedman  Potential  Claim"),  and by a group of
former employees  including Jody Ryan (the "Ryan Potential Claim"),  there is no
action, suit, inquiry, notice of violation,  proceeding or investigation pending
or, to the knowledge of the Company,  threatened against or likely to materially
affect the Company, any Subsidiary or any of their respective  properties before
or by any  court,  arbitrator,  governmental  or  administrative  agency  and/or
regulatory authority (federal, state, county, local or foreign),  including, but
not limited to, the Commission or any State Attorney General  (collectively,  an
"Action") which (i) adversely affects or challenges or could adversely affect or
challenge the legality,  validity or  enforceability  of any of the  Transaction
Documents  or (ii)  could,  if  there  were  an  unfavorable  decision,  have or
reasonably  be  expected  to result in a Material  Adverse  Effect.  Neither the
Company nor, to the  knowledge of the Company,  any current  director or officer
thereof, is or has been the subject of any Action involving a claim of violation
of or liability under federal or state or province securities laws or a claim of
breach of  fiduciary  duty.  There is not  pending or, to the  knowledge  of the
Company,  contemplated,  any investigation by the Commission and/or other entity
involving the Company or any current  directors or officers of the Company.  The
Commission  has not  issued  any  stop  order  or  other  order  suspending  the
effectiveness  of  any  registration  statement  filed  by  the  Company  or any
Subsidiary under the Exchange Act or the Securities Act.

          (h) Labor  Relations.  No  material  labor  dispute  exists or, to the
knowledge of the Company,  is imminent  with respect to any of the  employees of
the Company or any Subsidiary  that could  reasonably be expected to result in a
Material  Adverse Effect,  other than the Freedman  Potential Claim and the Ryan
Potential Claim.

          (i)  Compliance.  Neither  the Company  nor any  Subsidiary  (a) is in
default  under or in violation  of (and no event has occurred  that has not been
waived that, with notice or lapse of time or both,  would result in a default by
the Company or any  Subsidiary  under),  nor has the  Company or any  Subsidiary
received  notice  of a  claim  that  it is in  default  under  or  that it is in
violation of, any indenture,  loan or credit agreement or any other agreement or
instrument  to which it is a party  or by which it or any of its  properties  is
bound (whether or not such default or violation has been waived),  other than as
disclosed  in the March 31, 2005 Form 10-Q,  (b) is in violation of any order of
any court,  arbitrator or governmental  body, or (c) is or has been in violation
of any statute,  rule or regulation  of any  governmental  authority,  including
without limitation all foreign,  federal, state and local laws applicable to its
business,  except in the case of clauses (a), (b) and (c) as would not result in
a Material Adverse Effect.

          (j)  Regulatory  Permits.  Each of the  Company  and the  Subsidiaries
possesses all certificates, authorizations and permits issued by the appropriate
federal,  state,  local or foreign regulatory  authorities  necessary to conduct
their  respective  businesses,  except where the failure to possess such permits
would not have or reasonably be expected to result in a Material  Adverse Effect
("Material  Permits"),  and neither the Company nor any  Subsidiary has received
any notice of  proceedings  relating to the  revocation or  modification  of any
Material Permit.

          (k) Title to Assets.  All  material  property  and assets owned by the
Company and the  Subsidiaries  are owned  outright  free and clear of mortgages,
pledges, security interests,  liens, charges and other encumbrances,  except for
(i)  liens  securing  Existing  Senior  Indebtedness  (as  defined  in the Note)
pursuant to the Senior Credit  Agreement (as defined in the Note) as of the date
hereof,  (ii) Permitted Liens (as defined in the Senior Credit  Agreement) as of
the date  hereof,  (iii)  liens for  current  taxes not yet due,  and (iv) minor
imperfections  of title,  if any,  not  material  in amount  and not  materially
detracting  from the value or impairing the use of the property  subject thereto
or impairing the operations of the Company or any Subsidiary.

          (l) Intellectual Property Rights.

                    (i)  The  Company  and  its  Subsidiaries  own,  or  possess
adequate  rights or licenses to use,  all  trademarks,  trademark  applications,
trade names, service marks, service mark registrations,  service names, patents,
patent  applications,   patent  rights,   copyrights,   copyright  applications,
inventions, licenses, permits, approvals,  governmental  authorizations,know-how
(including trade secrets and other unpatented and/or unpatentableproprietary and
confidential information,  systems or procedures) and otherintellectual property
rights (collectively,  the "Intellectual  PropertyRights")  necessary to conduct
their  respective  businesses as now conductedor  proposed to be conducted.  The
Company's  and the  Subsidiaries'  Intellectual  Property  Rights  are valid and
enforceable,  and no registration  relating thereto has lapsed,  expired or been
abandoned or cancelled or is the subject of  cancellation  or other  adversarial
proceedings,  or is expected to expire or terminate  within three years from the
date of this Agreement,  and all  applications  therefor are pending and in good
standing.  Neither the  Company  nor any  Subsidiary  has any  knowledge  of any
infringement by the Company of Intellectual Property Rights of others, or of any
such development of similar or identical trade secrets or technical  information
by others and no claim,  action or proceeding has been made or brought  against,
or to the Company's  knowledge,  has been threatened against, the Company or the
Subsidiaries   regarding  infringement  of  Intellectual  Property  Rights.  All
personnel,  including employees,  agents, consultants and contractors,  who have
contributed  to or  participated  in  the  conception  and  development  of  the
Company's and the  Subsidiaries'  Intellectual  Property  Rights have either (a)
been a party to a "work for hire" arrangement or agreement with the Company or a
Subsidiary, in accordance with federal, state or province law, that by its terms
accords to the Company or a Subsidiary  ownership of all tangible or  intangible
property  thereby  arising,  or (b) have  executed  appropriate  instruments  of
assignment  in favor of the Company or a  Subsidiary  as assignee  that  bytheir
terms validly convey to the Company or a Subsidiary  complete and sole ownership
of all tangible and intangible property thereby arising, and the Company and the
Subsidiaries  have taken  other  reasonable  security  measures  to protect  the
secrecy, confidentiality and value of all of their Intellectual Property Rights.

                    (ii)Neither  the Company nor any  Subsidiary  is in material
default  under or in material  violation of (and no event has occurred  that has
not been waived  that,  with notice or lapse of time or both,  would result in a
material default by the Company or any Subsidiary under), nor has the Company or
any Subsidiary  received notice of a claim that it is in material  default under
or that it is in material  violation  of, any license  agreement,  collaboration
agreement,   development  agreement  or  similar  agreement  relating  to  their
respective businesses.

          (m)  Transactions  With  Affiliates  and  Employees.   Other  than  as
described in SEC Reports,  none of the  officers,  directors,  employees  and/or
affiliates of the Company or the Subsidiaries is a party to any transaction with
the Company or any  Subsidiary  (other than for services as employees,  officers
and directors), including any contract, agreement or other arrangement providing
for the  furnishing  of  services  to or by,  providing  for  rental  of real or
personal  property to or from,  or otherwise  requiring  payments to or from any
officer,  director  employee  or such  affiliate  or,  to the  knowledge  of the
Company, any entity in which any officer,  director,  or any such employee has a
substantial interest or is an officer, director,  trustee, partner or affiliate,
other than (a) for payment of salary or consulting  fees for services  rendered,
(b)  reimbursement  for  expenses  incurred on behalf of the Company and (c) for
other  employee  benefits,  including  stock option  agreements  under any stock
option plan of the Company.

          (n) Disclosure Controls and Procedures;  Internal Accounting Controls.
Other than as described in SEC Reports,  the  management  of the Company has (i)
designed disclosure controls and procedures to ensure that material  information
relating  to the  Company,  including  the  Subsidiaries,  is made  known to the
management  of the  Company  by  others  within  those  entities,  and  (ii) has
disclosed,  based  on its  most  recent  evaluation,  to the  Company's  outside
auditors and the audit  committee of the Board of Directors (A) any  significant
deficiencies  in the  design or  operation  of  internal  controls  which  could
adversely affect the Company's ability to record, process,  summarize and report
financial  data and have  identified  for the  Company's  outside  auditors  any
material  weaknesses  in  internal  controls  and (B) any fraud,  whether or not
material,  that involves  management  or other  employees who have a significant
role in the Company's internal controls. Other than as described in SEC Reports,
each  of the  Company  and the  Subsidiaries  maintains  a  system  of  internal
accounting  controls  sufficient  to  provide  reasonable   assurance  that  (i)
transactions  are executed in accordance with  management's  general or specific
authorizations,   (ii)   transactions   are  recorded  as  necessary  to  permit
preparation  of financial  statements  in  conformity  with GAAP and to maintain
asset  accountability,  (iii) access to assets is permitted  only in  accordance
with  management's  general  or  specific  authorization  and (iv) the  recorded
accountability  for assets is compared  with the existing  assets at  reasonable
intervals and appropriate action is taken with respect to any differences.

          (o) Listing and Maintenance Requirements.  The Company is, and has not
received any notice from the American Stock  Exchange  ("Amex") that it will not
in the  foreseeable  future  continue to be, in compliance  with all listing and
maintenance requirements of the Amex, on which the Common Stock is traded.

          (p) Tax Status.  Each of the Company and the  Subsidiaries has made or
filed all foreign,  federal and state income and all other tax returns,  reports
and declarations  required by any  jurisdiction to which it is subject,  and has
paid all taxes and other governmental  assessments and charges that are material
in  amount,  shown  or  determined  to be  due  on  such  returns,  reports  and
declarations  or to the Company's  knowledge  otherwise due and payable,  except
those being  contested in good faith and has set aside on its books  reserves in
accordance  with  GAAP  reasonably  adequate  for the  payment  of all taxes for
periods subsequent to the periods to which such returns, reports or declarations
apply. There are no unpaid taxes in any material amount claimed to be due by the
taxing authority of any jurisdiction, and the officers of the Company know of no
basis for any such claim.

          (q) Right of First Refusal;  Anti-Dilution Right. No person is a party
to any  agreement,  contract or  understanding,  written or oral  entitling such
party to (i) a right of first refusal or (ii) purchase or otherwise  receive any
securities  of the  Company or any  Subsidiary,  at any time,  in each case with
respect to offerings of securities by the Company or any Subsidiary.

          (r)  Insurance.  Each of the  Company  and the  Subsidiaries  maintain
insurance of the types and in the amounts deemed  adequate for their  respective
businesses,   including,  but  not  limited  to,  product  liability  insurance,
insurance covering real and personal property owned or leased by the Company and
the Subsidiaries against theft, damage,  destruction,  acts of vandalism and all
other risks customarily insured against, all of which insurance is in full force
and effect.

          (s) Environmental. Each of the Company and the Subsidiaries is, to the
best of its knowledge,  in material  compliance  with all  applicable  published
rules and regulations (and applicable  standards and requirements) of the United
States Environmental Protection Agency (the "EPA") and of any similar foreign or
state agency. To the knowledge of the Company, there is no material suit, claim,
action or proceeding now pending before any court, governmental agency or board,
or other forum,  nor is any of the same threatened by any Person;  and, there is
no fact or circumstance  actually known to the Company which could reasonably be
anticipated to be the basis for any such suit, claim, action or proceeding,  for
(i) noncompliance by the Company or any Subsidiary with any  environmental  law,
rule,  regulation or requirement,  or (ii) relating to the release or threatened
release into the  environment by the Company or any Subsidiary of any pollutant,
toxic or  hazardous  material,  oil, or waste  generated  by the Co mpany or any
Subsidiary.  To the  knowledge  of the  Company,  neither  the  Company  nor any
Subsidiary has released any Hazardous Materials (as hereinafter  defined) at any
site owned or leased by the Company or any  Subsidiary  or shipped any Hazardous
Materials for treatment,  storage or disposal at any other site of facility. For
purposes of this Section 2(s),  "Hazardous Materials" shall mean and include any
solid,  hazardous or toxic waste, substance or material as defined in the United
States  Resource  Conservation  and  Recovery  Act; the Clean Air Act; the Clean
Water Act; the Toxic  Substances  Control Act; the  Comprehensive  Environmental
Response,  Compensation and Liability Act; applicable foreign and state laws for
the protection of the environment,  and the regulations promulgated under any of
the foregoing.

          (t) Conduct of  Business.  Except as  disclosed  in the March 31, 2005
Form 10-Q,  since December 31, 2004,  neither the Company nor any Subsidiary has
(a)  incurred  any  debts,  obligations  or  liabilities,   absolute,   accrued,
contingent  or  otherwise,   whether  due  or  to  become  due,  except  current
liabilities  incurred in the usual and  ordinary  course of  business,  having a
Material  Adverse  Effect,  (b) made or suffered  any changes in its  contingent
obligations  by way of  guaranty,  endorsement  (other than the  endorsement  of
checks for deposit in the usual and  ordinary  course of  business),  indemnity,
warranty or  otherwise,  (c)  discharged or satisfied any liens other than those
securing,  or paid any obligation or liability other than,  current  liabilities
shown on the balance  sheet dated as at December 31,  2004,  and forming part of
the SEC Reports,  and current  liabilities  incurred since December 31, 2004, in
each case in the usual and ordinary course of business,  (d) mortgaged,  pledged
or  subjected  to lien any of its  assets,  tangible  or  intangible,  (e) sold,
transferred or leased any of its assets except in the usual and ordinary  course
of  business,  (f)  cancelled  or  compromised  any debt or claim,  or waived or
released any right,  of material  value,  except that upon  consummation  of the
transactions  contemplated hereby, the agreement by GP Strategies Corporation to
lend up to $1,000,000 to the Company shall terminate,  (g) suffered any physical
damage,  destruction  or loss  (whether or not covered by  insurance)  adversely
affecting  the  properties  or business  of the  Company,  (h) entered  into any
transaction  other than in the usual and ordinary  course of business except for
this Note and the related  agreements  referred to herein,  (i)  encountered any
labor difficulties or labor union organizing activities, (j) made or granted any
wage or salary increase or entered into any employment agreement,  (k) issued or
sold any shares of capital stock or other securities or granted any options with
respect  thereto,  or  modified  any equi ty  security  of the  Company,  except
pursuant to existing  Company stock option plans disclosed in the Company's most
recent Definitive  Schedule 14A filed with the Commission,  (l) declared or paid
any dividends on or made any other  distributions  with respect to, or purchased
or  redeemed,  any  of  its  outstanding  equity  securities,  (m)  suffered  or
experienced any change in, or condition  affecting,  its condition (financial or
otherwise),  properties, assets, liabilities,  business operations or results of
operations,  other than changes,  events or conditions in the usual and ordinary
course of its business, having (either by itself or in conjunction with all such
other changes,  events and conditions) a Material  Adverse Effect,  (n) made any
change in the  accounting  principles,  methods or  practices  followed by it or
depreciation  or  amortization  policies or rates  theretofore  adopted,  or (o)
entered  into any  agreement  or otherwise  obligated  itself,  to do any of the
foregoing.

          (u)  Conversion  Securities.   The  equity  securities  issuable  upon
conversion  of the  Note  and  the  exercise  of the  Warrant,  when  issued  in
compliance  with the  provisions  of the Note  (assuming  the holder of the Note
converts it into equity securities) or the Warrant, as applicable,  will be duly
authorized and validly issued, fully paid and nonassessable, and will be free of
any liens or encumbrances created by the Company.

          (v) Registration.  Provided that the representations and warranties of
the  Investor in Section 3 are true and  correct,  the  execution,  issuance and
delivery of the  Transaction  Documents,  each issuance and sale of the Note and
Warrant pursuant hereto and the Securities  issuable upon conversion of the Note
and the  exercise of the  Warrant  will be exempt  from  registration  under the
Securities Act.

          (w)  Stockholder  Approval.  The Company has obtained and prior to the
date hereof  delivered  to the  Investor a true and correct copy of the majority
written  consent (the "Majority  Consent") of the  stockholders  of the Company,
certified as such by the Secretary of the Company,  that irrevocably  authorizes
and approves the transactions contemplated by this Agreement,  including without
limitation  the issuance and sale of the Note and Warrant,  and the  Transaction
Documents,  which Majority Consent constitutes all stockholder approval required
pursuant  to all  applicable  rules  and  regulations  of the  Amex  (the  "Amex
Stockholder Approval  Requirements"),  including without limitation Sections 705
and 713 of the Amex Company  Guide,  in order to permit the issuance and sale of
the Note and Warrant.  Prior to the Closing, the Company shall have prepared and
delivered to the Investor in draft form a copy of its  information  statement on
Schedule 14C  as  promulgated by the Commission relating to the Majority Consent
(the "Information Statement").

     3.  Representations  and Warranties of the Investor.   The Investor  hereby
represents and warrants to the Company that:

          (a) Authorization.  The Investor has full power and authority to enter
into this  Agreement.   This  Agreement,  when  executed  and  delivered  by the
Investor,  will  constitute  a  valid  and  legally  binding  obligation  of the
Investor,  enforceable  in  accordance  with its  terms,  except as  limited  by
applicable  bankruptcy,  insolvency,   reorganization,   moratorium,  fraudulent
conveyance,  and any other laws of general application  affecting enforcement of
creditors' rights generally, and as limited by laws relating to the availability
of a specific performance, injunctive relief, or other equitable remedies.

          (b) Investor  Entirely for Own Account.   This  Agreement is made with
the  Investor in reliance  upon the  Investor's  representation  to the Company,
which  by the  Investor's  execution  of this  Agreement,  the  Investor  hereby
confirms,  that the  Securities  to be acquired by the Investor will be acquired
for investment for the  Investor's own account,  not as a nominee or agent,  and
not with a view to the resale or distribution of any part thereof,  and that the
Investor has no present intention of selling,  granting any participation in, or
otherwise  distributing  the same.   By executing this  Agreement,  the Investor
further  represents  that the Investor  does not  presently  have any  contract,
undertaking, agreement or arrangement with any person to sell, transfer or grant
participations to such person or to any third person, with respect to any of the
Securities.  The  Investor  has not been  formed  for the  specific  purpose  of
acquiring any of the Securities.

          (c)  Knowledge.   The  Investor  is  aware of the  Company's  business
affairs and financial  condition and has acquired  sufficient  information about
the  Company to reach an  informed  and  knowledgeable  decision  to acquire the
Securities.

          (d)  Restricted   Securities.    The  Investor  understands  that  the
Securities have not been, and will not be,  registered under the Securities Act,
by  reason of a  specific  exemption  from the  registration  provisions  of the
Securities Act which depends upon,  among other things,  the bona fide nature of
the  investment  intent and the accuracy of the  Investor's  representations  as
expressed herein.  The Investor  understands that the Securities are "restricted
securities"  under applicable U.S. federal,  state and province  securities laws
and  that,  pursuant  to these  laws,  the  Investor  must  hold the  Securities
indefinitely  unless they are  registered  with the  Commission and qualified by
state  authorities,  or an exemption from such  registration  and  qualification
requirements  is  available.   Other  than as set  forth  herein,  the  Investor
acknowledges  that the  Company  has no  obligation  to  register or qualify the
Securities for resale.   The Investor further  acknowledges that if an exemption
from  registration  or  qualification is available,  it  may be  conditioned  on
various requirements including, but not limited to, the time and manner of sale,
the  holding  period for the  Securities,  and on  requirements  relating to the
Company which are outside of the  Investor's  control,  and which the Company is
under no obligation and may not be able to satisfy.

          (e) No Public Market.  The Investor  understands that no public market
now  exists  for the  Note or the  Warrant  and  that  the  Company  has made no
assurances that a public market will ever exist for the Note or the Warrant.

          (f) Legends.   The Investor  understands that the Securities,  and any
securities issued in respect thereof or exchange  therefor,  except as set forth
below, may bear a legend to the following effect:

                    (i) "THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT
BEEN  REGISTERED  UNDER THE  SECURITIES  ACT OF 1933, AS AMENDED,  OR APPLICABLE
STATE  SECURITIES  LAWS.  THE  SECURITIES  MAY NOT BE  OFFERED  FOR SALE,  SOLD,
TRANSFERRED  OR  ASSIGNED  (I) IN THE ABSENCE OF (A) AN  EFFECTIVE  REGISTRATION
STATEMENT FOR THE SECURITIES  UNDER THE  SECURITIES ACT OF 1933, AS AMENDED,  OR
(B) AN OPINION OF COUNSEL, IN A FORM REASONABLY ACCEPTABLE TO GSE SYSTEMS, INC.,
THAT REGISTRATION IS NOT REQUIRED UNDER SAID ACT OR (II) UNLESS SOLD PURSUANT TO
RULE 144 OR RULE 144A UNDER SAID ACT."

This legend shall be removed upon a written  request to the  Company's  transfer
agent for removal and the Company  shall issue the relevant  Securities  without
such legend to the holder of the Securities  requesting such removal if (x) such
Securities  are  registered  for resale  under the  Securities  Act, or (y) such
holder provides the Company with  reasonable  assurances that the Securities can
be sold pursuant to Rule 144; provided that such Securities not sold pursuant to
a registration  statement or other  transaction  pursuant to which an unlegended
certificate may be issued shall be returned for re-legending within a reasonable
time following written notice from the Company to each holder thereof.

                    (ii) Any legend  required by the applicable Blue Sky laws of
any state.

          (g) Accredited  Investor.   The Investor is an accredited  investor as
defined in Rule 501(a) of Regulation D  promulgated  under the  Securities  Act,
pursuant to clause (3) thereof.

     4. Covenants.

          (a) For so long as the Note remains outstanding,

               (i) Maintaining Properties, Assets.  The Company shall reasonably
maintain in good repair,  working order and condition its  properties  and other
assets,  and those of any Subsidiary,  and from time to time make all reasonably
necessary repairs, renewals and replacements thereto.

               (ii) Liens.   The Company  shall not, and shall not permit any of
its  Subsidiaries to, create,  incur or suffer to exist any security  interests,
liens,  claims,  charge  or  encumbrances  ("Liens")  upon  any  of  its  or its
Subsidiaries' assets or properties, except for (i) Liens created by operation of
law  such  as  workman's  liens,  mechanic's  liens  and  other  similar  liens;
(ii) deposits,  pledges or Liens  securing  obligations  incurred  in respect of
workers'  compensation,  unemployment  insurance or other forms of  governmental
insurance or benefits;  (iii)  Liens  imposed by any governmental  authority for
taxes,  assessments  or charges not yet due or that are being  contested in good
faith by appropriate  proceedings with the establishment of adequate reserves on
the balance sheet of the Company; (iv) Liens securing, or expressly permitted by
as of the date  hereof,  Existing  Senior  Indebtedness;  and (v) Liens that are
subordinate in all respects to the Liens held by the Investor.


               (iii) Extraordinary  Actions.     The Company shall not nor shall
it permit any  Subsidiary  to:  (i)  acquire,  sell or  otherwise  transfer  any
material  assets or rights of the  Company  or a  Subsidiary,  or enter into any
contract or agreement  relating to the sale of assets,  which is not consummated
pursuant to an arms length transaction,  (ii) enter into any contract, agreement
or transaction  (including any transfer or sale of Intellectual Property Rights)
with any  officer,  director,  stockholder  or  affiliate  of the  Company  or a
subsidiary other than ordinary course transactions that are consistent with past
practice and pursuant to arms length terms,  (iii) directly or indirectly pay or
declare any dividend or make any distribution upon, redeem, retire or repurchase
or otherwise  acquire,  any shares of capital  stock or other  securities of the
Company  or  a  Subsidiary,  other  than  approximately  $366,065  of  dividends
currently owed to ManTech  International  on preferred stock of the Company that
has been converted  into Common Stock, or (iv)  materially  change the Company's
or any Subsidiary's line of business as currently conducted.

          (b) Until the date  occurs on which:  (A) no Note or  Warrant  remains
outstanding  and (B)  either  (x) no  share  of  Common  Stock  issued  upon the
conversion  or exercise of the Note or Warrant  remains  outstanding  or (y) 180
days  have  elapsed  since  the date upon  which  any Note or  Warrant  was last
outstanding,

               (i)  Non-Public  Information.   The Company  covenants and agrees
that neither it nor any other person acting on its behalf will provide  Investor
or its  agents  or  counsels  with any  information  that the  Company  believes
constitutes  material  non-public  information,  and, in any event,  the Company
hereby agrees that Investor  shall not have any duty of  confidentiality  or any
other  obligation  with respect to any such  information if any such  disclosure
occurs, subject to the Investor complying with all applicable securities laws.

               (ii) Form D and Blue Sky. If required,  the Company  shall file a
Form D with respect to the issuance of the Note and the Warrant (or the issuance
of  Common  Stock or other  equity  securities  upon  conversion  of the Note or
exercise of the Warrant) as required under Regulation D under the Securities Act
and, upon written request, provide a copy thereof to the Investor promptly after
such filing.  The Company shall take such action as the Company shall reasonably
determine is  necessary  in order to obtain an  exemption  for or to qualify the
Note and Warrant for sale to the  Investor  pursuant to this  Agreement  (or the
issuance of Common Stock or other equity  securities upon conversion of the Note
or exercise of the Warrant)  under  applicable  securities or "Blue Sky" laws of
the states of the United States,  and shall provide  evidence of any such action
so taken to the Investor promptly after such filing.  However, the Company shall
not be required to execute any general consent to service of process in order to
obtain such blue sky clearance,  except in a  jurisdiction  where the Company is
already subject to such process.

               (iii) Listing of Common Stock.   The Company hereby agrees to use
its best  efforts to maintain the listing and trading of the Common Stock on the
Amex or another  Eligible  Market (as  defined in the Note) and to file with the
Amex to list the  applicable  shares  of Common  Stock  issuable  in  connection
herewith on the trading market,  including all prior notices to Amex as required
by the bylaws,  rules,  regulations and policies  thereof.   The Company further
agrees,  if the  Company  applies to have the Common  Stock  traded on any other
trading market,  it will include in such  application the shares of Common Stock
issuable in connection  herewith and will take such other action as is necessary
or desirable to cause such shares to be listed on such other  trading  market as
promptly as  possible.  The Company  will use its best  efforts to comply in all
material  respects with the Company's  reporting,  filing and other  obligations
under  the  bylaws,  rules,  regulations  and  policies  of the Amex or  another
Eligible  Market for so long as the  Common  Stock is listed on the Amex or such
other Eligible Market, as the case may be.

               (iv) Furnishing of Information.  The Company covenants and agrees
to timely  file (or obtain  extensions  in respect  thereof  and file within the
applicable  grace period) all reports  required to be filed by the Company after
the date hereof  pursuant to the Exchange Act.  Until neither the Investor,  nor
any of its  successors  or assigns,  owns any Note,  Warrant or any  Registrable
Securities  (as defined  below),  if the Company is not required to file reports
pursuant to the  Exchange  Act, it will prepare and furnish to Investor and make
publicly  available  in  accordance  with  Rule 144(c) such  information  as  is
required  for Investor to sell its shares of Common  Stock under  Rule 144.  The
Company  further  covenants and agrees that it will take such further  action as
Investor may reasonably request, all to the extent required from time to time to
enable such person to sell any shares of Common Stock without registration under
the Securities Act within the limitation of the exemptions provided by Rule 144.

               (v) Shareholders  Rights Plan.  No claim will be made or enforced
by the Company or any other person that Investor is an "Acquiring  Person" under
any  shareholders  rights  plan or  similar  plan or  arrangement  in  effect or
hereafter  adopted  by the  Company,  or that the  Investor  could be  deemed to
trigger the provisions of any such plan or  arrangement,  by virtue of receiving
Registrable  Securities  under the Note,  Warrant  or under any other  agreement
between the Company and the Investor.

               (vi) Reporting  Obligations.   The Company shall continue to file
or furnish  pursuant to the Exchange Act or the Securities  Act, and the Company
shall use  commercially  reasonable  best  efforts to maintain  its status as an
issuer  required to file such reports under the Exchange Act.  In addition,  the
Company  shall take all actions  necessary  to continue to meet the  "registrant
eligibility"  requirements set forth in the general  instructions to Form S-3 or
any successor form thereto, to continue to be eligible to register the resale of
the shares of Common Stock issuable on the conversion of the Note or exercise of
the Warrant under the Securities Act on such Form.

          (c) Information Statement. The Information Statement shall be filed by
the Company  with the  Commission  within ten  Business  Days of the date of the
Closing and neither it nor any amendment or supplement  thereto,  as so filed or
mailed to  stockholders of the Company,  shall contain an untrue  statement of a
material fact or omit to state any material fact  necessary in order to make the
statements  made  therein not  misleading,  or omit to state any  material  fact
necessary to correct any statement in any earlier  communication with respect to
the Majority Consent that has become false or misleading. In connection with the
Information  Statement and the Majority Consent, the Company shall comply in all
respects with Regulation 14(c) of the Exchange Act and the rules and regulations
thereunder.  The Company shall provide a copy of any written  comments  received
from the  Commission,  and any written  responses  thereto,  with respect to the
Information  Statement  within  one  Business  Day of its  receipt  or  delivery
thereof,  as the case may be, and shall use its best  efforts to respond to such
comments on, obtain  Commission  approval of and mail to the stockholders of the
Company the Information Statement as soon as possible following the date hereof.
The Company  shall  notify the Investor in writing at least five  Business  Days
prior to the date that is the last day of the 20-day  period  commencing  on the
mailing  date  of the  Information  Statement  to  stockholders  of the  Company
contemplated by Rule 14c-2(b) with respect to the Information  Statement and the
Majority Consent, which notice shall specify the last day of such 20-day period.
The  limitation on the increase in the number of shares of Common Stock issuable
upon the  conversion  into Common Stock of the Note as contained in Section 3(d)
thereof (the "Conversion Share Limit") shall  automatically  terminate and be of
no force or effect ab initio (the "Conversion  Share Limit  Termination") at the
end of the 20-day period  referenced  above,  and any such  increases that would
have occurred but for the  effectiveness  of the Conversion Share Limit shall be
effected for all purposes.  After the Conversion  Share Limit  Termination,  the
transactions contemplated by this Agreement,  including the issuance of the Note
without any such  limitation  on the number of shares of Common  Stock  issuable
upon conversion  thereof,  shall be in full compliance with the Amex Stockholder
Approval Requirements.

          (d) Stockholder  Approval  Default.  In the event that, for any reason
whatsoever,  on or prior to the 75th day after the date of the Closing,  (i) the
Conversion  Share Limit  Termination  has not occurred in accordance with all of
the terms of the last  sentence  of Section  4(c),  or (ii) the  Company has not
provided written notice to the Holder certified by an authorized  officer of the
Company to the effect that all of the covenants  contained in such sentence have
been performed in full,  then the Company shall pay to the Investor  $500,000 in
cash, as liquidated damages and not as a penalty, which amount shall be paid out
of an escrow account funded as  contemplated  by Section 1(b) hereof and created
for the purposes of this Section 4(d) pursuant to the Escrow  Agreement.  In the
event of the payment of such liquidated  damages,  the Company shall continue to
use its best efforts to effect the Conversion Share Limit Termination as soon as
practicable.

     5. Registration Rights.

          (a) Piggyback  Registration  Rights in the Company.   If, at any time,
there is not an effective  registration statement covering the resale all of the
shares of Common Stock of the Company issued  pursuant to or in connection  with
the  conversion  of the  Note or  exercise  of the  Warrant,  including  without
limitation  any additional  such shares as may be issued in connection  with any
adjustment  affecting  the  number of such  shares  pursuant  to the Note or the
Warrant  (collectively,  the  "Registrable  Securities"),  and the Company shall
determine  to prepare  and file with the  Commission  a  registration  statement
relating to an offering  for its own account or the account of others  under the
Securities Act, of any of its equity  securities (other than on Form S-4 or Form
S-8 (each as  promulgated  under the Securities  Act) or their then  equivalents
relating  to equity  securities  to be  issued  solely  in  connection  with any
acquisition  of  any  entity  or  business  or  equity  securities  issuable  in
connection with stock optio n or other employee benefit plans), then the Company
shall send to Investor a written notice of such determination and, if within ten
(10) days after receipt by Investor of such notice,  the Company shall receive a
request in writing from Investor, the Company shall include in such registration
statement all or any part of such Registrable Securities Investor requests to be
registered at no cost to Investor (other than underwriting  discounts,  fees and
commissions).   Investor (or its  designee(s))  shall also be provided with such
other  rights,  and the  Company  shall have such  obligations,  as  customarily
accompany investor piggyback registration rights, including, without limitation,
the right of Investor to customary indemnification by the Company, the Company's
obligation  to  prepare  and  file  with  the  Commission  such  amendments  and
supplements  to such  registration  statement  as may be  necessary to keep such
registration statement effective until the disposition of all securities covered
by such  registration  state ment, the obligation of the Company to register and
qualify the securities  covered by such registration  statement under applicable
state  securities  and blue sky laws, the obligation of the Company to cause the
securities covered by such registration  statement to be listed or quoted on the
principal exchange (which as of the date hereof is Amex) or electronic quotation
system on which  the  Company's  Common  Stock is then  listed  or  quoted  (the
"Principal  Market)  and the  obligation  of the Company to cause to be provided
customary  legal  opinions  and  comfort  letters of its  independent  certified
accountants if requested in connection with a sale pursuant to such registration
statement.   Notwithstanding  the  foregoing,  if  a  registration  involves  an
underwritten  offering,  and the lead  managing  underwriter  shall  advise  the
Company that the amount of securities to be included in the offering exceeds the
amount  which can be sold in the  offering,  the number of  securities  owned by
Investor to be  included  in the  offering  shall  be  eliminated  or reduced as
required by the  managing  underwriter;  provided  that in the event of any such
reduction, all securities of any other selling stockholder  for which a bonafide
irrevocable  commitment  (included in such underwriter advice) has been made for
inclusion in such registration shall be reduced in the same proportion.

          (b) Registration Right in the Company.

                    (i) No later  than  thirty  days  following  the date of the
Closing  (assuming  no  registration  statements  have been filed as provided in
Section  5(a)  that  already  cover  the  resale  of  all  of  the   Registrable
Securities),   the  Company  shall  prepare  and  file  with  the  Commission  a
registration statement (the "Registration Statement") covering the resale of all
of the Registrable Securities not included in any another effective registration
statement of the Company,  which  offering  shall be made on a continuous  basis
pursuant  to Rule 415  under the  Securities  Act.  The  Registration  Statement
required  hereunder  shall be on Form S-3  (except  if the  Company  is not then
eligible to register for resale the Registrable Securities on Form S-3, in which
case  the  Registration  Statement  shall  be on  another  appropriate  form  in
accordance  herewith).  The  Company  shall  use its best  efforts  to cause the
Registration  Statement to be declared  effective  under the  Securities  Act as
promptly  as  possible  after the filing  thereof,  but in no event  later  than
ninety days from the date of this  Agreement.   The  Company  shall use its best
efforts to keep the  Registration  Statement  continuously  effective  under the
Securities  Act until the date when all  Registrable  Securities  covered by the
Registration Statement (a) have been sold pursuant to the Registration Statement
or an exemption from the registration  requirements of the Securities Act or (b)
may be sold without any volume or other  restrictions  pursuant to  Rule 144(k).
 The  Investor  (or its  designee(s))  shall  also be  provided  with such other
rights,  and the Company shall have such obligations,  as customarily  accompany
investor  registration  rights,  including,  without  limitation,  the  right of
Investor to customary  indemnification by the Company,  the Company's obligation
to prepare and file with the Commission  such amendments and supplements to such
registration  statement as may be necessary to keep such registration  statement
effective until the disposition of all securities  covered by such  registration
statement,  the obligation of the Company to register and qualify the securities
covered by such  registration  statement under  applicable  state securities and
blue sky laws  (provided,  however,  that the  Company  shall not be required to
execute any  general  consent to service of process in order to obtain such blue
sky clearance,  except in a jurisdiction where the Company is already subject to
such process),  the obligation of the Company to cause the securities covered by
such  registration  statement to be listed or quoted on the Principal Market and
the obligation of the Company to cause to be provided  customary  legal opinions
and comfort  letters of its  independent  certified  accountants if requested in
connection with a sale pursuant to such registration statement).

                    (ii) Filing Default Liquidation  Damages.  If a Registration
Statement is not filed on or prior to the date that is thirty days following the
date hereof (the "Filing Deadline Penalty Date"),  then the Company shall pay to
the  Investor  an  amount  in cash,  until  the  earlier  of the  date  that the
Registration  Statement  is  filed  or the  Registrable  Securities  may be sold
pursuant  to Rule  144(k)  without  regard to volume or other  restrictions,  as
liquidated  damages  and not as a penalty,  (i) two  percent of the  outstanding
Principal  (as  defined  in the  Note) for the  first  thirty  days (or any part
thereof)  following the Filing Deadline Penalty Date, and (ii) an additional two
percent of such  outstanding  Principal for each  thirty-day  period  subsequent
thereto  (or any  part  thereof),  such  payment(s)  to be  made in  immediately
available  funds no later  than  five days  after  the  first  date of each such
thirty-day period (or any part thereof).

                    (iii)  Effectiveness   Default  Liquidation   Damages.    In
addition to any liquidated  damages paid,  accrued and/or to be paid pursuant to
Section 5(b)(ii), if (1) the Registration Statement is not declared effective on
or  prior to  ninety  days  following  the  date of the  Closing,  or (2) if the
Registration Statement has been declared effective and subsequent thereto is not
effective (or otherwise does not permit the resale of the Registrable Securities
covered  thereby)  for any  period of time until the date that the  Investor  no
longer owns any Registrable  Securities,  other than as provided in Section 5(d)
(an  "Effectiveness  Default"),  then the Company  shall pay to the  Investor an
amount in cash,  as  liquidated  damages and not as a penalty,  equal to (i) two
percent of the  outstanding  Principal  for the first  thirty  days (or any part
thereof),  and  (ii) an  additional  two  percent  of such  Principal  for  each
thirty-day period subsequent  thereto (or any part thereof) until the earlier of
such date (a) the Reg istration  Statement is declared effective and permits the
resale of the Registrable  Securities covered thereby (or if previously declared
effective until the date the Registration  Statement becomes effective again and
otherwise permits the resale of the Registrable Securities covered thereby), and
(b) the  Registrable  Securities  may be sold  pursuant to Rule  144(k)  without
volume  limitation or other  restriction.   Any such payment(s) shall be made in
immediately  available funds no later than five days after the first day of each
thirty-day  period  (or any part  thereof),  as  the case  maybe,  of each  such
Effectiveness Default.

          (c)  No Inconsistent Agreements.  The Company agrees not to enter into
any other agreement that is inconsistent with the registration rights provisions
of this Agreement or contains registration rights provisions which are senior to
the registration rights granted in this Agreement.

          (d) Suspension of Registration. Under any Registration Statement filed
pursuant to this Section 5, the Company may restrict  disposition of Registrable
Securities,  and  Investor  will  not be able  to  dispose  of such  Registrable
Securities,  if the  Company  shall have  delivered a  certificate  signed by an
officer of the Company  stating that in the good faith  judgment of the Board of
Directors  of the  Company  a  delay  in the  disposition  of  such  Registrable
Securities is necessary because the Company has determined that such sales would
require public disclosure by the Company of material nonpublic  information that
is not included in such registration  statement. In the event of the delivery of
such  certificate,  the  Company  shall  use its  best  efforts  to  amend  such
Registration  Statement  or  amend  or  supplement  the  related  prospectus  as
necessary,  and take all other actions necessary, to allow the proposed sales to
take place as  promptly as possible  (or, if in the  reasonable  judgment of the
Board of  Directors  of the  Company  disclosure  of such  information  would be
detrimental  to the Company,  promptly  after the date that  disclosure  of such
information  would not be detrimental to the Company;  provided,  however,  that
such right to delay the sales of Registrable  Securities may be exercised by the
Company  not more than twice in any  12-month  period and that the delays in the
sale of the Registrable  Securities included in the Registration Statement shall
not in the aggregate exceed 90 days in any 12-month period.


     6.  Conditions to Closing.  The  obligation of the Investor to purchase and
pay for the Note and  Warrant  in  accordance  with  Section 1 is subject to the
satisfaction  by the Company or waiver in writing by the Investor of each of the
following   conditions:

         (a)  Representations   and   Warranties.     The   representations  and
warranties  of the Company  contained  in Section 2 shall be true and correct in
all material respects on and as of the date of the Closing, with the same effect
as though such  representations  and  warranties had been made on and as of that
date  (except for  representations  and  warranties  that speak as of a specific
date,  in which  case  such  representations  and  warranties  shall be true and
correct in all material respects on and as of such specific date).

          (b)  Performance.    The  Company shall have performed and complied in
all material  respects with all  agreements  and  obligations  contained in this
Agreement or the other  Transaction  Documents that are required to be performed
or complied with by it on or before the Closing.

          (c) Officer's  Certificate.  The Company  shall have  delivered to the
Investor a certificate of an executive officer of the Company, dated the date of
the Closing,  certifying to the effect that the conditions contained in Sections
6(a) and (b) have been fulfilled.

          (d) Approvals. All authorizations,  approvals or permits, if any, that
are  required in  connection  with the issuance and sale of the Note and Warrant
pursuant to this Agreement shall be obtained and effective as of the date of the
Closing.  The Company shall have  obtained all necessary  "blue sky" permits and
qualifications,  or have the availability of exemptions  therefrom,  required by
any state for the offer and sale of the Note and Warrant.

          (e) Organizational  Documents.    The  Company shall have delivered to
the Investor  (a) a  certificate  evidencing the good standing of the Company in
the State of Delaware  issued by the Secretary of State of the State of Delaware
and dated no  earlier  than  three  (3) Business  Days  prior to the date of the
Closing, and (b) a certificate of the Secretary of the Company,  dated as of the
date of the  Closing,  certifying  as to  (i) the  resolutions  of the  Board of
Directors of the Company  approving  this  Agreement  and the other  Transaction
Documents  and the  consummation  of the  transactions  contemplated  hereby and
thereby (and certifying that such resolutions have not been modified, amended or
revoked  and  remain  in  full  force  and  effect),   (ii) the  Certificate  of
Incorporation,  as in  effect  as of the  date  of the  Closing,  and  (iii) the
By-laws, as in effect as of the date of the Closing.

          (f)   Filings.    The  Company  shall have made all  filings,  if any,
under all applicable  federal and state  securities laws necessary to consummate
the issuance of the Note and Warrant  pursuant to this  Agreement in  compliance
with such laws.

          (g)   Amex  Listing.   The  Common Stock shall not have been suspended
     by the  Commission  from trading on the Amex nor have been  delisted by the
Amex nor shall suspension by the Commission or the Amex or delisting by the Amex
have been threatened in writing by the Commission or the Amex. The Company shall
be in full compliance with all Amex listing maintenance requirements, other than
the director meeting requirements.

          (h)  Purchased  Shares.    The  Company  shall have  delivered  to the
Investor valid  certificates in the form attached hereto  representing  the Note
and the Warrant in each case  registered in the name of the Investor.

          (i) Miscellaneous.    The Company shall have delivered to the Investor
the Security  Agreement,  the Pledge  Agreement,  the Escrow  Agreement (and the
Escrow  Agreement  shall have been  fully  funded in  accordance  with the terms
hereof and thereof) and the instruments  and documents  required to be delivered
thereunder or in connection  therewith and such other documents  relating to the
transactions  contemplated by the  Transaction  Documents as the Investor or its
counsel may reasonably request.

     7. Miscellaneous.

          (a)  Successors  and  Assigns.   The  terms  and  conditions  of  this
Agreement  shall  inure to the  benefit  of and be binding  upon the  respective
successors  and assigns of the parties.  Nothing in this  Agreement,  express or
implied,  is intended to confer upon any party other than the parties  hereto or
their  respective  successors  and assigns any  rights,  remedies,  obligations,
or liabilities  under  or by  reason  of this  Agreement,  except  as  expressly
provided in this Agreement.

          (b)  Governing  Law.   This  Agreement  and all acts and  transactions
pursuant  hereto and the rights and  obligations  of the parties hereto shall be
governed,  construed and interpreted in accordance with the laws of the State of
New York, without giving effect to principles of conflicts of law.

          (c) Indemnification.  In consideration of the Investor's execution and
delivery  of the  Transaction  Documents  and  acquiring  the Note  and  Warrant
hereunder  and  thereunder  and  in  addition  to all  of  the  Company's  other
obligations under the Transaction Documents,  the Company shall defend, protect,
indemnify  and hold  harmless  the Investor and each other holder of the Note or
Warrant and all of their stockholders,  partners, members, officers,  directors,
employees and direct or indirect  investors  and any of the  foregoing  Persons'
agents or other representatives (including,  without limitation,  those retained
in  connection   with  the   transactions   contemplated   by  this   Agreement)
(collectively,  the "Indemnitees") from and against any and all actions,  causes
of action,  suits,  claims,  losses,  costs,  penalties,  fees,  liabilities and
damages,  and  reasonable  expenses in  connection  therewith  (irrespective  of
whether any such  Indemnitee is a party to the action for which  indemnification
hereunder is sought), and including reasonable attorneys' fees and disbursements
(the "Indemnified  Liabilities"),  incurred by any Indemnitee as a result of, or
arising  out of,  or  relating  to (a) any  misrepresentation  or  breach of any
representation or warranty made by the Company in the Transaction Documents,  or
(b) any breach of any covenant, agreement or obligation of the Company contained
in the Transaction  Documents.  To the extent that the foregoing  undertaking by
the Company may be  unenforceable  for any  reason,  the Company  shall make the
maximum  contribution to the payment and satisfaction of each of the Indemnified
Liabilities that is permissible under applicable law.

          (d)  Counterparts.   This  Agreement  may be  executed  in two or more
counterparts,  each of  which  shall  be  deemed  an  original  and all of which
together shall constitute one instrument.

          (e) Titles and  Subtitles.   The  titles  and  subtitles  used in this
Agreement  are  used  for  convenience  only  and are not  to be  considered  in
construing or interpreting this Agreement.

          (f) Notices.   All notices, consents, demands, instructions,  requests
and other communications  required or permitted hereunder must be in writing and
shall be deemed  to have  been  duly  given  only if  delivered  personally,  by
facsimile  transmission,  by first-class mail (postage  prepaid,  return receipt
requested),  or by overnight delivery by a recognized  overnight courier service
(all costs  prepaid)  to the parties at the  following  addresses  or  facsimile
numbers:

          If to the Company, to:

          GSE Systems, Inc.
          9189 Red Branch Road
          Columbia, Maryland 21045
          Telecopier No.:  (410) 772-3611

          with a copy to:

          Duane Morris LLP
          380 Lexington Avenue
          New York, NY 10168
          Attention: Robert Hasday
          Telecopier No.:  (212) 692-1020

          If to the Investor, to:

          Dolphin Advisors, LLC
          c/o Dolphin Asset Management Corp.
          129 East 17th Street
          New York, NY  10003
          Attention:  Carlos Salas
          Telecopier No.:  (212) 202-3817

          with a copy to:

          Hughes Hubbard & Reed LLP
          One Battery Park Plaza
          New York, NY  10004
          Attention:  Gary J. Simon
          Telecopier No.:  (212) 299-6770

All such notices,  requests and other  communications  will be deemed given upon
receipt thereof.  Any party from time to time may change its address,  facsimile
number or other  information  for the purpose of notices to that party by giving
like notice specifying such change to the other party hereto.

          (g)  Jurisdiction.  Each  of  the  Investor  and  the  Company  hereby
irrevocably  consents and submits to the  exclusive  jurisdiction  of the United
States  District Court for the Southern  District of New York in connection with
any dispute  arising out of or relating to this  Agreement  or the  transactions
contemplated hereby, waives any objection to venue in such District (unless such
court lacks  jurisdiction  with  respect to such  dispute,  in which  case,  the
Company  irrevocably  consents to the jurisdiction of the courts of the State of
New York located in New York County in  connection  with such dispute and waives
any  objection  to venue in the County of New York),  and agrees that service of
any summons,  complaint, notice or other process relating to such dispute may be
effected in the manner provided by Section 7(f).

          (h) Waiver of Jury  Trial.  EACH OF INVESTOR  AND THE  COMPANY  HEREBY
WAIVES  ANY  RIGHT TO TRIAL BY JURY WITH  RESPECT  TO ANY  ACTION OR  PROCEEDING
RELATING TO THIS AGREEMENT OR ANY AGREEMENT, INSTRUMENT OR DOCUMENT EXECUTED AND
DELIVERED  IN  CONNECTION  HEREWITH  OR  THEREWITH,  INCLUDING  THE  TRANSACTION
DOCUMENTS.

          (i) Finder's Fee.  Each party  represents  that it neither is nor will
be  obligated  for any  finder's  fee or  commission  in  connection  with  this
transaction.  Each of the Investor and the Company  agrees to indemnify and hold
harmless the other from any liability for any commission or compensation  in the
nature of a finder's fee (and the costs and  expenses of defending  against such
liability  or asserted  liability)  for which the other or any of its  officers,
employees or representatives is responsible.

          (j) Amendments and Waivers.  Any term of this Agreement may be amended
or waived only with the written  consent of the  Company and the  Investor.  Any
amendment  or waiver  effected in  accordance  with this  Section 7(j)  shall be
binding upon the Investor and each  transferee  of the  Securities,  each future
holder of all such Securities, and the Company.

          (k)  Severability.   If one or more  provisions of this  Agreement are
held to be unenforceable  under applicable law, the parties agree to renegotiate
such provision in good faith, in order to maintain the economic position enjoyed
by each  party  as  close as  possible  to that  under  the  provision  rendered
unenforceable.   In the event that the parties cannot reach a mutually agreeable
and enforceable replacement for such provision, then (i) such provision shall be
excluded  from  this  Agreement,  (ii) the  balance  of the  Agreement  shall be
interpreted as if such  provision were so excluded and (iii) the  balance of the
Agreement shall be enforceable in accordance with its terms.

          (l) Entire Agreement.   This Agreement,  and the documents referred to
herein  constitute the entire agreement between the parties hereto pertaining to
the subject  matter  hereof,  and any and all other  written or oral  agreements
existing between the parties hereto are expressly canceled.

          (m)  Survival  of  Representations,   Warranties  and  Covenants.  The
representations  and  warranties  contained  in  Sections 2 and 3 hereof and the
covenant  contained in Section 7(n) hereof shall survive until both (i) the Note
is repaid or  converted  in full and (ii) the  Warrant is  exercised  in full or
expires.  The  covenants  contained  in Section 4 hereof  shall  survive for the
period of time set forth in Section 4. The  covenant  contained  in Section 7(o)
hereof shall survive until the Note is repaid or converted in full.

          (n) No Shorting.  Neither Investor nor any of its Affiliates,  as such
term is  defined  in Rule 405 under the  Securities  Act,  has  engaged  or will
engage,  or has  caused or will cause any other  person or entity to engage,  in
"short sales" of Common Stock.

          (o) Subordination Agreement. Investor shall enter into a subordination
agreement  with the holder of Existing  Senior  Indebtedness,  provided that (i)
such holder has become such by providing  refinancing of the Indebtedness  under
the  Senior  Credit  Agreement  and (ii) the  terms  collectively  and each term
individually  of such  subordination  agreement  shall be no less  favorable  to
Investor than those of the Subordination Agreement.

                             [Signature Page Follows]



The parties have executed this Senior Subordinated  Secured Convertible Note and
Warrant Purchase Agreement as of the date first written above.


GSE SYSTEMS, INC.

____________________________________
Name:
Title:


DOLPHIN DIRECT EQUITY PARTNERS, LP

By:     Dolphin Advisors, LLC
        its managing general partner

By:     Dolphin Management Inc.
        its managing member

By:__________________________________
        Name: Peter E. Salas
         Title: President