<PAGE>   1


                                                                     EXHIBIT 3.1

                          CERTIFICATE OF INCORPORATION
                                       OF
                                    EAI, INC.


         FIRST.    The name of the corporation is EAI, INC.

         SECOND.   The address of its registered office in the State of Delaware
is 1209 Orange Street, in the City of Wilmington, County of New Castle. The name
of its registered agent at such address is the Corporation Trust Company.

         THIRD.    The nature of the business and the objects and purposes to be
conducted or promoted by the Corporation are to engage in any lawful act or
activity for which corporations may be organized under the General Corporation
Law of the State of Delaware.

         FOURTH.

         1.   Authorized Shares. The total number of shares of stock of all
classes which the Corporation shall have authority to issue is forty million
(40,000,000), of which twenty million (20,000,000) shall be shares of Preferred
Stock of the par value of $0.01 per share, and twenty million (20,000,000) shall
be shares of Common Stock of the par value of $0.01 per share.

         2.   Preferred Stock.

         (a)  The Preferred Stock shall be issuable in series, and in connection
with the issuance of any series of Preferred Stock and to the extent now or
hereafter permitted by the laws of the State of Delaware, the Board of Directors
is authorized to fix by resolution the designation of each series, the stated
value of the shares of each series, the dividend rate or rates of each series
(which rate or rates may be expressed in terms of a formula or other method by
which such rate or rates shall be calculated from time to time) and the date or
dates and other provisions respecting the payment of dividends, the provisions,
if any, for a sinking fund for the shares of each series, the preferences of the
shares of each series in the event of the liquidation or dissolution of the
Corporation, the provisions, if any, respecting the redemption of the shares of
each series and, subject to requirements of the laws of the State of Delaware,
the voting rights (except that such shares shall not have more than one vote per
share), the terms, if any, upon which the shares of each series shall be
convertible into or exchangeable for any other shares of stock of the
Corporation and any other relative, participating, optional or other special
rights, and qualifications, limitations or restrictions thereof, of the shares
of each series.

         (b)  Preferred Stock of any series redeemed, converted, exchanged,
purchased, or otherwise acquired by the Corporation shall constitute authorized
but unissued Preferred Stock.





                                       17


<PAGE>   2

         (c)  All shares of any series of Preferred Stock, as between 
themselves, shall rank equally and be identical (except that such shares may
have different dividend provisions); and all series of Preferred Stock, as
between themselves, shall rank equally and be identical except as set forth in
resolutions of the Board of Directors authorizing the issuance of such series.

         3.   Common Stock.

         (a)  After dividends to which the holders of Preferred Stock may then
be entitled under the resolutions creating any series thereof have been declared
and after the Corporation shall have set apart the amounts required pursuant to
such resolutions for the purchase or redemption of any series of Preferred
Stock, the holders of Common Stock shall be entitled to have dividends declared
in cash, property, or other securities of the Corporation out of any net profits
or net assets of the Corporation legally available therefor.

         (b)  In the event of the liquidation or dissolution of the 
Corporation's business and after the holders of Preferred Stock shall have
received amounts to which they are entitled under the resolutions creating such
series, the holders of Common Stock shall be entitled to receive ratably the
balance of the Corporation's net assets available for distribution.

         (c)  Each share of Common Stock shall be entitled to one vote upon all
matters upon which stockholders have the right to vote, but shall not be
entitled to vote for the election of any directors who may be elected by vote of
the Preferred Stock voting as a class if so provided in the resolution creating
such Preferred Stock pursuant to Section 2(a) of this Article FOURTH.

         4.   Preemptive Rights. No holder of any shares of the Corporation 
shall have any preemptive right to subscribe for or to acquire any additional
shares of the Corporation of the same or of any other class whether now or
hereafter authorized or any options or warrants giving the right to purchase any
such shares, or any bonds, notes, debentures or other obligations convertible
into any such shares.

         FIFTH.    The name and mailing address of the incorporator is as 
follows:


NAME                                                      MAILING ADDRESS
----                                                      ---------------

Jamie A. Wade                                             Des Moines, Iowa


         SIXTH.    The Corporation is to have perpetual existence.

         SEVENTH.  The private property of the stockholders shall not be subject
to the payment of corporate debts to any extent whatever.

         EIGHTH.   Except as may otherwise be fixed by resolution of the Board 
of Directors pursuant to the provisions of Article FOURTH hereof relating to the
rights of the holders of 


                                       18

<PAGE>   3

Preferred Stock to elect directors as a class, the number of directors of the
Corporation shall be fixed from time to time by or pursuant to the By-Laws of
the Corporation. The directors, other than those who may be elected by the
holders of Preferred Stock, shall be classified, with respect to the time for
which they severally hold office, into three classes, as nearly equal in number
as possible. The first class shall be initially elected for a term expiring at
the next ensuing annual meeting, the second class shall be initially elected for
a term expiring one year thereafter, and the third class shall be elected for a
term expiring two years thereafter, with each member of each class to hold
office until his successor is elected and qualified. At each annual meeting of
the stockholders of the Corporation held after the initial classification and
election of directors, the successors of the class of directors whose term
expires at that meeting shall be elected to hold office for a term expiring at
the annual meeting of stockholders held in the third year following the year of
their election.

         Advance notice of stockholder nominations for the election of directors
shall be given in the manner provided in the By-Laws of the Corporation.

         Except as may otherwise be fixed by resolution of the Board of
Directors pursuant to the provisions of Article FOURTH hereof relating to the
rights of the holders of Preferred Stock to elect directors as a class, newly
created directorships resulting from any increase in the number of directors and
any vacancies on the Board of Directors resulting from death, resignation,
disqualification, removal or any other cause shall be filled by the affirmative
vote of a majority of the remaining directors then in office, even though less
than a quorum of the Board of Directors. Any director elected in accordance with
the preceding sentence shall hold office for the remainder of the full term of
the class of directors in which the new directorship was created (subject to the
requirements of this Article EIGHTH that all classes be as nearly equal in
number as possible) or in which the vacancy occurred and until such director's
successor shall have been elected and qualified. No decrease in the number of
directors constituting the Board of Directors shall shorten the term of an
incumbent director.

         Subject to the rights of the holders of Preferred Stock to elect
directors as a class, a director may be removed only for cause and only by the
affirmative vote of the holders of 80% of the combined voting power of the then
outstanding shares of stock entitled to vote generally in the election of
directors, voting together as a single class.

         In furtherance and not in limitation of the powers conferred by
statute, the Board of Directors is expressly authorized:

         1.   To adopt, amend and repeal the By-Laws of the Corporation. Any
By-Laws adopted by the directors under the powers conferred hereby may be
amended or repealed by the directors or by the stockholders. Notwithstanding the
foregoing or any other provision in this Certificate of Incorporation or the
By-Laws of the Corporation to the contrary, Article II, Sections 3 and 7 and
Article III, Sections 1, 2 and 3 of the By-Laws shall not be amended or repealed
and no provision inconsistent therewith shall be adopted without the affirmative
vote of the holders of at least 80% of the voting power of all the shares of the
Corporation entitled to vote generally in the election of directors, voting
together as a single class.


                                       19

<PAGE>   4

         2.   To fix and determine, and to vary the amount of, the working 
capital of the Corporation, and to determine the use or investment of any assets
of the Corporation, to set apart out of any of the funds of the Corporation
available for dividends a reserve or reserves for any proper purpose and to
abolish any such reserve or reserves.

         3.   To authorize the purchase or other acquisition of shares of stock 
of the Corporation or any of its bonds, debentures, notes, scrip, warrants or
other securities or evidence of indebtedness.

         4.   Except as otherwise provided by law, to determine the places 
within or without the State of Delaware, where any or all of the books of the
Corporation shall be kept.

         5.   To authorize the sale, lease or other disposition of any part or
parts of the properties of the Corporation and to cease to conduct the business
connected therewith or again to resume the same, as it may deem best.

         6.   To authorize the borrowing of money, the issuance of bonds,
debentures and other obligations or evidences of indebtedness of the
Corporation, secured or unsecured, and the inclusion of provisions as to
redeemability and convertibility into shares of stock of the Corporation or
otherwise; and the mortgaging or pledging, as security for money borrowed or
bonds, notes, debentures or other obligations issued by the Corporation, of any
property of the Corporation, real or personal, then owned or thereafter acquired
by the Corporation.

         7.   To authorize the negotiation and execution on behalf of the
Corporation of agreements with officers and other employees of the corporation
relating to the payment of severance compensation to such officers or employees.

         In addition to the powers and authorities herein or by statute
expressly conferred upon it, the Board of Directors may exercise all such powers
and do all such acts and things as may be exercised or done by the Corporation,
subject, nevertheless, to the provisions of the laws of the State of Delaware,
of this Certificate of Incorporation and of the By-Laws of the Corporation.

         Subject to any limitation in the By-Laws, the members of the Board of
Directors shall be entitled to reasonable fees, salaries, or other compensation
for their services, as determined from time to time by the Board of Directors,
and to reimbursement for their expenses as such members. Nothing herein
contained shall preclude any director from serving the Corporation or its
subsidiaries or affiliates in any other capacity and receiving compensation
therefor.

         Notwithstanding anything contained in this Certificate of Incorporation
to the contrary, the affirmative vote of the holders of at least 80% of the
voting power of all shares of the Corporation entitled to vote generally in the
election of directors, voting together as a single class, shall be required to
alter, amend, adopt any provision inconsistent with or repeal this Article
EIGHTH.




                                       20

<PAGE>   5

         NINTH.    Both stockholders and directors shall have power, if the 
By-Laws so provide, to hold their meetings and to have one or more offices
within or without the State of Delaware.

         Except as may otherwise be fixed by resolution of the Board of
Directors pursuant to the provisions of Article FOURTH hereof relating to the
rights of the holders of Preferred Stock, any action required or permitted to be
taken by the stockholders of the Corporation may be effected by a written
consent of the stockholders, provided that upon a Public Offering, any such
action must be effected at a duly called annual or special meeting of such
holders and may not be effected by any consent in writing by such holders. A
"Public Offering" means a public offering and sale of Common Stock pursuant to
an effective registration statement under the Securities Act of 1933, as
amended. Except as otherwise required by law and subject to the rights of the
holders of Preferred Stock, special meetings of stockholders may be called only
by the Chairman, if any, on his own initiative, the President on his own
initiative or by the Board of Directors pursuant to a resolution approved by a
majority of the entire Board of Directors. Notwithstanding anything contained in
this Certificate of Incorporation to the contrary, the affirmative vote of the
holders of at least 80% of the voting power of all shares of the Corporation
entitled to vote generally in the election of directors, voting together as a
single class, shall be required to alter, amend, adopt any provision
inconsistent with or repeal this Article NINTH.

         TENTH.    Except as otherwise provided in this Certificate of
Incorporation, the Corporation reserves the right to amend, alter, change or
repeal any provision contained in this Certificate of Incorporation in the
manner now or hereafter prescribed by statute, and all rights conferred upon
stockholders herein are granted subject to this reservation.

         ELEVENTH.

         (a)  A director of the Corporation shall not be personally liable to 
the Corporation or its stockholders for monetary damages for breach of fiduciary
duty as a director, except for liability (i) for any breach of the director's
duty of loyalty to the Corporation or its stockholders, (ii) for acts or
omissions not in good faith or which involve intentional misconduct or a knowing
violation of law, (iii) under Section 174 of the General Corporation Law of the
State of Delaware, or (iv) for any transaction from which the director derived
an improper personal benefit. If the General Corporation Law of the State of
Delaware, or any other applicable law, is amended to authorize corporation
action further eliminating or limiting the personal liability of directors, then
the liability of a director of the Corporation shall be eliminated or limited to
the fullest extent permitted by the General Corporation Law of the State of
Delaware, or any other applicable law, as so amended. Any repeal or modification
of this Section (a) by the stockholders of the Corporation shall not adversely
affect any right or protection of a director of the Corporation existing at the
time of such repeal or modification.

         (b)  (1) Each person who has or is made a party or is threatened to be
made a party to or is involved in any action, suit or proceeding, whether civil,
criminal, administrative or investigative (hereinafter a "proceeding"), by
reason of the fact that he or she or a person of whom he or she is the legal
representative is or was a director or officer of the Corporation or is 


                                       21

<PAGE>   6

or was serving at the request of the Corporation as a director, officer or
employee or agent of another corporation or of a partnership, joint venture,
trust or other enterprise, including service with respect to employee benefit
plans, whether the basis of such proceeding is an alleged action in an official
capacity as a director, officer, employee or agent or in any other capacity
while serving as a director, officer, employee or agent, shall be indemnified
and held harmless by the Corporation to the fullest extent authorized by the
General Corporation Law of the State of Delaware, or any other applicable law,
as the same exists or may hereafter be amended (but, in the case of any such
amendment, only to the extent that such amendment permits the Corporation to
provide broader indemnification rights than said law permitted the Corporation
to provide prior to such amendment), against all expenses, liability and loss
(including attorneys' fees, judgments, fines, ERISA excise taxes or penalties
and amounts paid or to be paid in settlement) reasonably incurred or suffered by
such person in connection therewith and such indemnification shall continue as
to a person who has ceased to be a director, officer, employee or agent and
shall inure to the benefit of his or her heirs, executors and administrators;
provided, however, that except as provided in paragraph (2) of this Section (b)
with respect to proceedings seeking to enforce rights to indemnification, the
Corporation shall indemnify any such person seeking indemnification in
connection with a proceeding (or part thereof) initiated by such person only if
such proceeding (or part thereof) was authorized by the Board of Directors of
the Corporation. The right to indemnification conferred in this Section (b)
shall be a contract right and shall include the right to be paid by the
Corporation the expenses incurred in defending any such proceeding in advance of
its final disposition; provided, however, that if the General Corporation Law of
the State of Delaware, or any other applicable law, requires, the payment of
such expenses incurred by a director or officer in his or her capacity as a
director or officer (and not in any other capacity in which service was or is
rendered by such person while a director or officer, including, without
limitation, service to an employee benefit plan) in advance of the final
disposition of a proceeding shall be made only upon delivery to the Corporation
of an undertaking by or on behalf of such director or officer to repay all
amounts so advanced if it shall ultimately be determined that such director or
officer is not entitled to be indemnified under this Section (b) or otherwise.

         (2)  If a claim under paragraph (1) of this Section (b) is not paid in
full by the Corporation within thirty days after a written claim has been
received by the Corporation, the claimant may at any time thereafter bring suit
against the Corporation to recover the unpaid amount of the claim and, if
successful in whole or in part, the claimant shall be entitled to be paid also
the expense of prosecuting such claim. It shall be a defense to any such action
(other than an action brought to enforce a claim for expenses incurred in
defending any proceeding in advance of its final disposition where the required
undertaking, if any is required, has been tendered to the Corporation) that the
claimant has not met the standard of conduct which make it permissible under the
General Corporation Law of the State of Delaware, or any other applicable law,
for the Corporation to indemnify the claimant for the amount claimed, but the
burden of proving such defense shall be on the Corporation. Neither the failure
of the Corporation (including its Board of Directors, stockholders or
independent legal counsel) to have made a determination prior to the
commencement of such action that indemnification of the claimant is proper in
the circumstances because he or she has met the applicable standard of conduct
set forth in the General Corporation Law of the State of Delaware, or any other
applicable law, nor an actual determination by the Corporation (including its
Board of Directors, stockholders or independent legal counsel) that the 


                                       22


<PAGE>   7

claimant has not met such applicable standard of conduct, shall be a defense to
the action or create a presumption that the claimant has not met the applicable
standard of conduct.

         (3)  The right to indemnification and the payment of expenses incurred
in defending a proceeding in advance of its final disposition conferred in this
Section (b) shall not be exclusive of any other right which any person may have
or hereafter acquire under any statute, provision of this Certificate of
Incorporation, By-Law, agreement, vote of stockholders or disinterested
directors or otherwise.

         (4)  The Corporation may maintain insurance, at its expense, to protect
itself and any director, officer, employee or agent of the Corporation or
another corporation, partnership, joint venture, trust or other enterprise
against any expense, liability or loss, whether or not the Corporation would
have the power to indemnify such person against such expense, liability or loss
under the General Corporation Law of the State of Delaware, or any other
applicable law.

         (5)  The Corporation may, to the extent authorized from time to time by
the Board of Directors, grant rights to indemnification, and rights to be paid
by the Corporation the expenses incurred in defending any proceeding in advance
of its final disposition, to any employee or agent of the Corporation to the
fullest extent of the provisions of this Section (b) with respect to the
indemnification and advancement of expenses of directors and officers of the
Corporation.

         (6)  Any repeal or modification of this Section (b) by the stockholders
of the Corporation shall not adversely affect any right or protection of a
director, officer, employee or agent of the Corporation existing at the time of
such repeal or modification.

         TWELFTH.  In determining whether an "Acquisition Proposal" is in the
best interests of the Corporation and its stockholders, the Board of Directors
shall consider all factors it deems relevant including, without limitation, the
following:

         (a)  The consideration being offered in the Acquisition Proposal, not
only in relation to the then current market price, but also in relation to the
then current value of the Corporation in a freely negotiated transaction and in
relation to the Board of Directors' estimate of the future value of the
Corporation as an independent entity; and

         (b)  Such other factors the Board of Directors determines to be
relevant, including among others the social, legal and economic effects upon
employees, suppliers, customers and the communities in which the Corporation is
located, as well as on the long term business prospects of the Corporation.

         "Acquisition Proposal" means any proposal of any person (i) for a
tender offer, exchange offer or any other method of acquiring any equity
securities of the Corporation with a view to acquiring control of the
Corporation, (ii) to merge or consolidate the Corporation with another
corporation, or (iii) to purchase or otherwise acquire all or substantially all
of the properties and assets of the Corporation.



                                       23


<PAGE>   8

         This Article TWELFTH shall not be interpreted to create any rights on
behalf of third persons, such as employees, suppliers, or customers.

         THE UNDERSIGNED, being the sole incorporator hereinafter named, for the
purpose of forming a corporation pursuant to the General Corporation Law of the
State of Delaware, does make this Certificate, hereby declaring and certifying
that this is his act and deed and the facts herein stated are true, and
accordingly has set his hand this 12th day of December, 1995.


                                                    /s/ Jamie A. Wade          
                                                    ---------------------------
                                                    Jamie A. Wade, Incorporator


                                       24
<PAGE>   9


                       CERTIFICATE OF OWNERSHIP AND MERGER

                                       of

                           Engineering Animation, Inc.

                              (an Iowa corporation)

                                      into

                                    EAI, Inc.

                            (a Delaware corporation)

It is hereby certified that:

                   1. Engineering Animation, Inc. (the "Corporation") is a
corporation of the State of Iowa, the laws of which permit a merger of a
corporation of that jurisdiction with a corporation of another jurisdiction.

                   2. The Corporation, as the owner of all of the outstanding
shares of common stock of EAI, Inc., hereby merges itself into EAI, Inc., a
corporation of the State of Delaware ("EAI").

                   3. The following is a copy of the resolutions adopted on the
18th day of December, 1995, by the Board of Directors of the Corporation to
merge the Corporation into EAI:

                      RESOLVED, that this Corporation be reincorporated in the
                   State of Delaware by merging itself into EAI pursuant to the
                   laws of the State of Iowa and the State of Delaware as
                   hereinafter provided, so that the separate existence of this
                   Corporation shall cease as soon as the merger shall become
                   effective, and thereupon this Corporation and EAI will become
                   a single corporation, which shall continue to exist under,
                   and be governed by, the laws of the State of Delaware.

                   RESOLVED that the terms and conditions of the proposed merger
                   are as follows:

         (a) From and after the effective time of the merger, all of the estate,
         property, rights, privileges, powers, and franchises of this
         Corporation shall become vested in and be held by EAI as fully and
         entirely and without change or diminution as the same were before held
         and enjoyed by this Corporation and EAI shall assume all of the
         obligations of this 

<PAGE>   10

         Corporation pursuant to Section 253 of the General Corporation Law of
         the State of Delaware.

         (b) Each share of capital stock of this Corporation which shall be
         issued and outstanding immediately prior to the effective time of the
         merger shall be converted into one issued and outstanding share of
         common stock, $0.01 par value, of EAI, and, from and after the
         effective time of the merger, the holders of all of said issued and
         outstanding shares of capital stock of this Corporation shall
         automatically be and become holders of shares of EAI upon the basis
         above specified, whether or not certificates representing said shares
         are then issued and delivered.

         (c) After the effective time of the merger, each holder of record of
         any outstanding certificate or certificates theretofore representing
         capital stock of this Corporation may surrender the same to EAI at its
         office in Ames, Iowa and such holder shall be entitled upon such
         surrender to receive in exchange therefor a certificate or certificates
         representing an equal number of shares of common stock of EAI.

         Until so surrendered, each outstanding certificate which prior to the
         effective time of the merger represented one or more shares of capital
         stock of this Corporation shall be deemed for all corporate purposes to
         evidence ownership of an equal number of shares of common stock of EAI.

         (d) From and after the effective time of the merger, the name of EAI
         shall be amended to "Engineering Animation, Inc."

         (e) From and after the effective time of the merger, the Certificate of
         Incorporation and the By-Laws of EAI, Inc. shall be the Certificate of
         Incorporation and the By-Laws of EAI as in effect immediately prior to
         such effective time, except that the name of EAI shall be amended to be
         "Engineering Animation, Inc.," and such Certificate of Incorporation
         and By-laws shall continue in full force and effect until amended and
         changed in the manner prescribed by the provisions of such documents
         and the General Corporation Law of the State of Delaware.



                                       2


<PAGE>   11

         (f) The officers of EAI shall be the corresponding officers of the
         Corporation immediately before the effective time of the merger and the
         members of the Board of Directors shall be as follows, which directors
         are to serve in office until the annual meeting of stockholders in the
         year indicated below, or until their successors shall have been elected
         and qualified:

         Name of Director                   Expiration of Term
         ----------------                   ------------------

         Laurence J. Kirshbaum                     1997
         Michael Crow                              1998
         Jamie A. Wade                             1996
         Matthew Rizai                             1998
         Martin Vanderploeg                        1997


                   RESOLVED that, in the event that the proposed merger shall
                   not be terminated, the proper officers of this Corporation be
                   and they hereby are authorized and directed to make and
                   execute a Certificate of Ownership and Merger setting forth a
                   copy of these resolutions to merge itself into EAI and the
                   date of adoption thereof, and to cause the same to be filed
                   and recorded as provided by law, and to do all acts and
                   things whatsoever, within the State of Iowa and Delaware in
                   any other appropriate jurisdiction, necessary or proper to
                   effect this merger.

                   4. The proposed merger herein certified has been adopted,
approved, certified, executed, and acknowledged by this Corporation in
accordance with the laws of the State of Iowa.

Signed on December 18, 1995

                                                   Engineering Animation, Inc.,
                                                   an Iowa corporation

                                                   By:  /s/ Matthew M. Rizai   
                                                      ------------------------- 
                                                   Name:  Matthew M. Rizai   
                                                        ----------------------- 
                                                   Its:   President           
                                                       ------------------------
Attested:


By:  /s/ Jamie A. Wade    
     -------------------
Name:  Jamie A. Wade    
     -------------------
Its:     Secretary             
     -------------------

                                       3
<PAGE>   12


                           ENGINEERING ANIMATION, INC.


                            CERTIFICATE OF AMENDMENT
                                       OF
                          CERTIFICATE OF INCORPORATION

         ENGINEERING ANIMATION, INC., a corporation organized and existing under
the laws of the State of Delaware (the "Corporation"), pursuant to Section 242
of The General Corporation Law of the State of Delaware (the "Corporation Law"),
DOES HEREBY CERTIFY:

         FIRST:    That the Certificate of Incorporation be amended to add the 
following as ARTICLE THIRTEENTH:

         "THIRTEENTH. Simultaneously with the effective date of this amendment
         (the "Effective Date"), each share of Common Stock, par value $.01 per
         share, issued and outstanding immediately prior to the Effective Date
         (the "Old Common Stock") shall automatically and without any action on
         the part of the holder thereof be reclassified and changed into
         one-half of a share of the Corporation's Common Stock, par value $.01
         per share (the "New Common Stock"), subject to the treatment of
         fractional share interests as described below. Each holder of a
         certificate or certificates which immediately prior to the Effective
         Date represented outstanding shares of Old Common Stock (the "Old
         Certificates") shall be entitled to receive upon surrender of such Old
         Certificates to the Corporation's transfer agent for cancellation a
         certificate or certificates (the "New Certificates") representing such
         number of whole shares of the New Common Stock into which and for which
         the shares of the Old Common Stock formerly represented by such Old
         Certificates so surrendered are reclassified under the terms hereof.
         From and after the Effective Date, Old Certificates shall represent
         only the right to receive New Certificates pursuant to the provisions
         hereof. No certificates or scrip representing fractional share
         interests in New Common Stock will be issued by the Corporation as a
         result of the reverse stock split contemplated hereby. In lieu thereof,
         each stockholder whose shares of Old Common Stock are not evenly
         divisible by two will receive one additional share of New Common Stock
         for the fractional share that such stockholder would otherwise be
         entitled to as a result of such reverse stock split. If more than one
         Old Certificate shall be surrendered at one time for the account of the
         same stockholder, the number of full shares of New Common Stock for
         which new certificates shall be issued shall be computed on the basis
         of the aggregate number of shares represented by the Old Certificates
         so surrendered. In the event that the Corporation's transfer agent
         determines that a holder of Old Certificates has not tendered all his
         certificates for exchange, the transfer agent shall carry forward any
         fractional share until all certificates of that holder have been
         presented for exchange. If any New Certificate is to be issued in the
         name 



<PAGE>   13
         other than that in which the Old Certificates surrender for exchange
         are issued, the Old Certificates so surrendered shall be properly
         endorsed and otherwise in proper form for transfer, and the person or
         persons requesting such exchange shall affix any requisite stock
         transfer tax stamps to the Old Certificates surrendered, or provide
         funds for their purchase, or establish to the satisfaction of the
         transfer agent that such taxes are not payable. From and after the
         Effective Date, the amount of capital represented by the shares of the
         New Common Stock into which and for which the shares of the Old Common
         Stock are reclassified under the terms hereof shall be the same as the
         amount of capital represented by the shares of Old Common Stock so
         reclassified, until thereafter reduced or increased in accordance with
         applicable law."

         SECOND:   That the foregoing amendment to the Certificate of
Incorporation of the Corporation was duly approved and adopted by written
consent of the shareholders of the Corporation dated February 16, 1996, pursuant
to the provisions of Sections 228 and 242 of the Corporation Law.

         IN WITNESS WHEREOF, the Corporation has caused this Certificate to be
executed by its President and attested by its Secretary on the 20th day of
February, 1996.


                                             ENGINEERING ANIMATION, INC.


                                             By:  /s/ Matthew M. Rizai          
                                                  ---------------------------
                                                  Matthew M. Rizai, President

ATTEST:

/s/ Jamie A. Wade          
-------------------------
Jamie A. Wade, Secretary


                                       2
<PAGE>   14


                           CERTIFICATE OF DESIGNATIONS

                                       of

                  SERIES A JUNIOR PARTICIPATING PREFERRED STOCK

                                       of

                           ENGINEERING ANIMATION, INC.

                         (Pursuant to Section 151 of the
                        Delaware General Corporation Law)

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


         Engineering Animation, Inc., a corporation organized and existing under
the General Corporation Law of the State of Delaware (hereinafter called the
"Corporation"), hereby certifies that the following resolution was adopted by
the Board of Directors of the Corporation as required by Section 151 of the
General Corporation Law by unanimous written consent dated December 18, 1995:

         RESOLVED, that pursuant to the authority granted to and vested in the
Board of Directors of this Corporation (hereinafter called the "Board of
Directors" or the "Board") in accordance with the provisions of the Certificate
of Incorporation, the Board of Directors hereby creates a series of Preferred
Stock, par value $0.01 per share (the "Preferred Stock"), of the Corporation and
hereby states the designation and number of shares, and fixes the relative
rights, preferences, and limitations thereof as follows:

         Series A Junior Participating Preferred Stock:

         Section 1      Designation and Amount. The shares of such series shall 
be designated as "Series A Junior Participating Preferred Stock" (the "Series A
Preferred Stock") and the number of shares constituting the Series A Preferred
Stock shall be 200,000. Such number of shares may be increased or decreased by
resolution of the Board of Directors; provided, that no decrease shall reduce
the number of Shares of Series A Preferred Stock to a number less than the
number of shares then outstanding plus the number of shares reserved for
issuance upon the exercise of outstanding options, rights or warrants or upon
the conversion of any outstanding securities issued by the Corporation
convertible into Series A Preferred Stock.

         Section 2.     Dividends and Distributions.

                (A)     Subject to the rights of the holders of any shares of 
         any series of Preferred Stock (or any similar stock) ranking prior and
         superior to the Series A Preferred Stock with respect to dividends, the
         holders of shares of Series A Preferred Stock, in preference 

<PAGE>   15

         to the holders of Common Stock, par value $0.01 per share (the "Common
         Stock"), of the Corporation, and of any other junior stock, shall be
         entitled to receive, when, as and if declared by the Board of Directors
         out of funds legally available for the purpose, quarterly dividends
         payable in cash on the first day of March, June, September and December
         in each year (each such date being referred to herein as a "Quarterly
         Dividend Payment Date"), commencing on the first Quarterly Dividend
         Payment Date after the first issuance of a share or fraction of a share
         of Series A Preferred Stock, in an amount per share (rounded to the
         nearest cent) equal to the greater of (a) $1 or (b) subject to the
         provision for adjustment hereinafter set forth, 100 times the aggregate
         per share amount of all cash dividends, and 100 times the aggregate per
         share amount (payable in kind) of all non-cash dividends or other
         distributions, other than a dividend payable in shares of Common Stock
         or a subdivision of the outstanding shares of Common Stock (by
         reclassification or otherwise), declared on the Common Stock since the
         immediately preceding Quarterly Dividend Payment Date or, with respect
         to the first Quarterly Dividend Payment Date, since the first issuance
         of any share or fraction of a share of Series A Preferred Stock. In the
         event the Corporation shall at any time declare or pay any dividend on
         the Common Stock payable in shares of Common Stock, or effect a
         subdivision or combination or consolidation of the outstanding shares
         of Common Stock (by reclassification or otherwise than by payment of a
         dividend in shares of Common Stock) into a greater or lesser number of
         shares of Common Stock, then in each such case the amount to which
         holders of shares of Series A Preferred Stock were entitled immediately
         prior to such event under clause (b) of the preceding sentence shall be
         adjusted by multiplying such amount by a fraction, the numerator of
         which is the number of shares of Common Stock outstanding immediately
         after such event and the denominator of which is the number of shares
         of Common Stock that were outstanding immediately prior to such event.

                (B)     The Corporation shall declare a dividend or distribution
         on the Series A Preferred Stock as provided in paragraph (A) of this
         Section immediately after it declares a dividend or distribution on the
         Common Stock (other than a dividend payable in shares of Common Stock);
         provided that, in the event no dividend or distribution shall have been
         declared on the Common stock during the period between any Quarterly
         Dividend Payment Date and the next subsequent Quarterly Dividend
         Payment Date, a dividend of $1 per share on the Series A Preferred
         Stock shall nevertheless be payable on such subsequent Quarterly
         Dividend Payment Date.

                (C)     Dividends shall begin to accrue and be cumulative on
         outstanding shares of Series A Preferred Stock from the Quarterly
         Dividend Payment Date next preceding the date of issue of such shares,
         unless the date of issue of such shares is prior to the record date for
         the first Quarterly Dividend Payment Date, in which case dividends on
         such shares shall begin to accrue from the date of issue of such
         shares, or unless the date of issue is a Quarterly Dividend Payment
         Date or is a date after the record date for the determination of
         holders of shares of Series A Preferred Stock entitled to receive a
         quarterly dividend and before such Quarterly Dividend Payment Date, in
         either of which events such dividends shall begin to accrue and be
         cumulative from such Quarterly Dividend Payment Date. Accrued but
         unpaid dividends shall not bear interest. Dividends 

                                       2


<PAGE>   16

         paid on the shares of Series A Preferred Stock in an amount less than
         the total amount of such dividends at the time accrued and payable on
         such shares shall be allocated pro rata on a share-by-share basis among
         all such shares at the time outstanding. The Board of Directors may fix
         a record date for the determination of holders of shares of Series A
         Preferred Stock entitled to receive payment of a dividend or
         distribution declared thereon, which record date shall be not more than
         60 days prior to the date fixed for the payment thereof.

         Section 3.     Voting Rights. The holders of shares of Series A 
Preferred Stock shall have the following voting rights:

                (A)     Subject to the provision for adjustment hereinafter set
         forth, each share of Series A Preferred Stock shall entitle the holder
         thereof to 100 votes on all matters submitted to a vote of the
         stockholders of the Corporation. In the event the Corporation shall at
         any time declare or pay any dividend on the Common Stock payable in
         shares of Common Stock, or effect a subdivision or combination or
         consolidation of the outstanding shares of Common Stock (by
         reclassification or otherwise than by payment of a dividend in shares
         of Common Stock) into a greater or lesser number of shares of Common
         Stock, then in each such case the number of votes per share to which
         holders of shares of Series A Preferred Stock were entitled immediately
         prior to such event shall be adjusted by multiplying such number by a
         fraction, the numerator of which is the number of shares of Common
         Stock outstanding immediately after such event and the denominator of
         which is the number of shares of Common Stock that were outstanding
         immediately prior to such event.

                (B)     Except as otherwise provided herein, in any other
         Certificate of Designations creating a series of Preferred Stock or any
         similar stock, or by law, the holders of shares of Series A Preferred
         Stock and the holders of shares of Common Stock and any other capital
         stock of the Corporation having general voting rights shall vote
         together as one class on all matters submitted to a vote of
         stockholders of the Corporation.

                (C)     Except as set forth herein, or as otherwise provided by
         law, holders of Series A Preferred Stock shall have no special voting
         rights and their consent shall not be required (except to the extent
         they are entitled to vote with holders of Common Stock as set forth
         herein) for taking any corporate action.

         Section 4.     Certain Restrictions.

                (A)     Whenever quarterly dividends or other dividends or
         distributions payable on the Series A Preferred Stock as provided in
         Section 2 are in arrears, thereafter and until all accrued and unpaid
         dividends and distributions, whether or not declared, on shares of
         Series A Preferred Stock outstanding shall have been paid in full, the
         Corporation shall not:



                                       3

<PAGE>   17

                        (i)   declare or pay dividends, or make any other
                distributions, on any shares of stock ranking junior (either as
                to dividends or upon liquidation, dissolution or winding up) to
                the Series A Preferred Stock;

                        (ii)  declare or pay dividends, or make any other
                distributions, on any shares of stock ranking on a parity
                (either as to dividends or upon liquidation, dissolution or
                winding up) with the Series A Preferred Stock, except dividends
                paid ratably on the Series A Preferred Stock and all such parity
                stock on which dividends are payable or in arrears in proportion
                to the total amounts to which the holders of all such shares are
                then entitled;

                        (iii) redeem or purchase or otherwise acquire for
                consideration shares of any stock ranking junior (either as to
                dividends or upon liquidation, dissolution or winding up) to the
                Series A Preferred Stock, provided that the Corporation may at
                any time redeem, purchase or otherwise acquire shares of any
                such junior stock in exchange for shares of any stock of the
                Corporation ranking junior (either as to dividends or upon
                dissolution, liquidation or winding up) to the Series A
                Preferred Stock; or

                        (iv)  redeem or purchase or otherwise acquire for
                consideration any shares of Series A Preferred Stock, or any
                shares of stock ranking on a parity with the Series A Preferred
                Stock, except in accordance with a purchase offer made in
                writing or by publication (as determined by the Board of
                Directors) to all holders of such shares upon such terms as the
                Board of Directors, after consideration of the respective annual
                dividend rates and other relative rights and preferences of the
                respective series and classes, shall determine in good faith
                will result in fair and equitable treatment among the respective
                series or classes.

                (B)     The Corporation shall not permit any subsidiary of the
         Corporation to purchase or otherwise acquire for consideration any
         shares of stock of the Corporation unless the Corporation could, under
         paragraph (A) of this Section 4, purchase or otherwise acquire such
         shares at such time and in such manner.

         Section 5.     Required Shares. Any shares of Series A Preferred Stock
purchased or otherwise acquired by the Corporation in any manner whatsoever
shall be retired and cancelled promptly after the acquisition thereof. All such
shares shall upon their cancellation become authorized but unissued shares of
Preferred Stock and may be reissued as part of a new series of Preferred Stock
subject to the conditions and restrictions on issuance set forth herein, in the
Certificate of Incorporation, or in any other Certificate of Designations
creating a series of Preferred Stock or any similar stock or as otherwise
required by law.

         Section 6.     Liquidation, Dissolution or Winding Up. Upon any
liquidation, dissolution or winding up of the Corporation, no distribution shall
be made (1) to the holders of shares of stock ranking junior (either as to
dividends or upon liquidation, dissolution or winding up) to the Series A
Preferred Stock unless, prior thereto, the holders of shares of Series A
Preferred Stock 


                                       4


<PAGE>   18

shall have received $100 per share, plus an amount equal to accrued and unpaid
dividends and distributions thereon, whether or not declared, to the date of
such payment, provided that the holders of shares of Series A Preferred Stock
shall be entitled to receive an aggregate amount per share, subject to the
provision for adjustment hereinafter set forth, equal to 100 times the aggregate
amount to be distributed per share to holders of shares of Common Stock, or (2)
to the holders of shares of stock ranking on a parity (either as to dividends or
upon liquidation, dissolution or winding up) with the Series A Preferred Stock,
except distributions made ratably on the Series A Preferred Stock and all such
parity stock in proportion to the total amounts to which the holders of all such
shares are entitled upon such liquidation, dissolution or winding up. In the
event the Corporation shall at any time declare or pay any dividend on the
Common Stock payable in shares of Common Stock, or effect a subdivision or
combination or consolidation of the outstanding shares of Common Stock (by
reclassification or otherwise than by payment of a dividend in shares of Common
Stock) into a greater or lesser number of shares of Common Stock, then in each
such case the aggregate amount to which holders of shares of Series A Preferred
Stock were entitled immediately prior to such event under the proviso in clause
(1) of the preceding sentence shall be adjusted by multiplying such amount by a
fraction the numerator of which is the number of shares of Common stock
outstanding immediately after such event and the denominator of which is the
number of shares of Common Stock that were outstanding immediately prior to such
event.

         Section 7.     Consolidation, Merger, etc. In case the Corporation 
shall enter into any consolidation, merger, combination or other transaction in
which the shares of Common Stock are exchanged for or changed into other stock
or securities, cash and/or any other property, then in any such case each share
of Series A Preferred Stock shall at the same time be similarly exchanged or
changed into an amount per share, subject to the provision for adjustment
hereinafter set forth, equal to 100 times the aggregate amount of stock,
securities, cash and/or any other property (payable in kind), as the case may
be, into which or for which each share of Common Stock is changed or exchanged.
In the event the Corporation shall at any time declare or pay any dividend on
the Common Stock payable in shares of Common Stock, or effect a subdivision or
combination or consolidation of the outstanding shares of Common Stock (by
reclassification or otherwise than by payment of a dividend in shares of Common
Stock) into a greater or lesser number of shares of Common Stock, then in each
such case the amount set forth in the preceding sentence with respect to the
exchange or change of shares of Series A Preferred Stock shall be adjusted by
multiplying such amount by a fraction, the numerator of which is the number of
shares of Common Stock outstanding immediately after such event and the
denominator of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

         Section 8.     No Redemption.  The shares of Series A Preferred Stock 
shall not be redeemable.

         Section 9.     Rank.  The  Series A  Preferred  Stock  shall  rank,  
with respect to the payment of dividends and the distribution of assets, junior
to all series of any other class of the Corporation's Preferred Stock.




                                       5


<PAGE>   19

         Section 10.    Amendment. The Certificate of Incorporation of the
Corporation shall not be amended in any manner which would materially alter or
change the powers, preferences or special rights of the Series A Preferred Stock
so as to affect them adversely without the affirmative vote of the holders of at
least two-thirds of the outstanding shares of Series A Preferred Stock, voting
together as a single class.

         IN WITNESS WHEREOF, this Certificate of Designations is executed on
behalf of the Corporation by its President and attested by its Secretary this
20th day of February, 1996.

                                                ENGINEERING ANIMATION, INC.

                                                /s/ Matthew M. Rizai        
                                                -------------------------------
                                                Name:  Matthew M. Rizai
                                                Title:     President


Attest:

/s/ Jamie A. Wade                                
---------------------------
Name:  Jamie A. Wade
Title:    Secretary





                                       6
<PAGE>   20


                                STATE OF DELAWARE

                            CERTIFICATE OF AMENDMENT
                                       OF
                          CERTIFICATE OF INCORPORATION
                                       OF
                           ENGINEERING ANIMATION, INC.

FIRST: That by unanimous written consent, dated February 11, 1998, in accordance
with Section 141(f) of the General Corporation Law of the State of Delaware, the
Board of Directors of Engineering Animation, Inc. (the "Corporation") duly
adopted resolutions setting forth a proposed amendment of the Certificate of
Incorporation of said Corporation, declaring said amendment to be advisable and
submitting such amendment to the stockholders of said Corporation for
consideration thereof. The resolution setting forth the proposed amendment is as
follows:

RESOLVED, that the Certificate of Incorporation of this Corporation be amended
by changing Section 1 of Article Fourth thereof so that, as amended, said
Section shall be and read as follows:

                   "1. Authorized Shares. The total number of shares
         of stock of all classes which the Corporation shall have
         authority to issue is eighty million (80,000,000), of which
         twenty million (20,000,000) shall be shares of Preferred
         Stock of the par value of $0.01 per share, and sixty million
         (60,000,000) shall be shares of Common Stock of the par value
         of $0.01 per share."

SECOND: That thereafter, pursuant to resolution of its Board of Directors, a
majority of the holders of Common Stock of said Corporation, by action of such
stockholders at the annual meeting of the stockholders of the corporation, on
May 1, 1998 in accordance with Section 242 of the General Corporation Law of the
State of Delaware, voted as follows: of the 9,890,949 shares of outstanding
Common Stock entitled to vote thereon, (1) the holders of 6,155,394 shares of
the outstanding stock voted in favor of the approval of said amendment; (2) the
holders of 1,322,084 shares of the outstanding stock entitled to vote thereon
voted against the approval of said amendment and (3) the holders of 11,589
shares of the outstanding stock did not vote on said amendment.
There were no shares of outstanding Preferred Stock entitled to vote thereon.

THIRD: That said amendment was duly adopted in accordance with the provisions of
Section 242 of the General Corporation Law of the State of Delaware.

IN WITNESS WHEREOF, said Board of Directors has caused this certificate to be
signed by Jamie A. Wade, its Vice President, this eleventh day of May, 1998.



                                                     By: /s/ Jamie A. Wade   
                                                         -----------------------
                                                         Vice President


<PAGE>   21


                              CERTIFICATE OF MERGER
                                       OF
                               SENSE8 CORPORATION
                                      INTO
                           ENGINEERING ANIMATION, INC.

         The undersigned corporation organized and existing under and by virtue
of the General Corporation Law of the State of Delaware,

         DOES HEREBY CERTIFY:

         FIRST:    That the name and state of incorporation of each of the 
constituent corporations of the merger is as follows:

            Name                                  State of Incorporation
            ----                                  ----------------------
     Sense8 Corporation                                 California
Engineering Animation, Inc.                              Delaware

         SECOND:   That an agreement and plan of merger between the parties to 
the merger has been approved, adopted, certified, executed and acknowledged by
each of the constituent corporations in accordance with the requirements of
Section 252 of the General Corporation Law of the State of Delaware.

         THIRD:    That the name of the surviving corporation of the merger is 
Engineering Animation, Inc.

         FOURTH:   That the certificate of incorporation  of Engineering 
Animation, Inc., a Delaware corporation, the surviving corporation, shall be its
certificate of incorporation.

         FIFTH:    That the authorized stock for the non-surviving corporation 
is Ten Million (10,000,000) shares of common stock with no par value.

         SIXTH:    That the executed agreement and plan of merger is on file at
the principal place of business of the surviving corporation. The address of the
principal place of business of the surviving corporation is 2321 North Loop
Drive, Ames, Iowa 50010.

         SEVENTH:  That a copy of the agreement and  plan of merger will be 
furnished by the surviving corporation, on request and without cost to any
stockholder of any constituent corporation. 

                                        ENGINEERING ANIMATION, INC.

DATED:  June 8, 1998                     BY: /s/ Jamie Wade
                                             ----------------------------------
                                             Jamie Wade
                                         ITS:Vice President and General Counsel


<PAGE>   22
                              CERTIFICATE OF MERGER
                          OF TRANSOM TECHNOLOGIES, INC.
                                  WITH AND INTO
                           ENGINEERING ANIMATION, INC.




         The undersigned corporation, being organized and existing under and by
virtue of the Delaware General Corporation Law, does hereby certify that:

         1.   The name and state of incorporation of each of the constituent
corporations to the merger are as follows:

         (a)  Transom Technologies, Inc., which is incorporated under the laws
              of the State of Delaware; and 

         (b)  Engineering Animation, Inc., which is incorporated under the laws
              of the State of Delaware.

         2.   An Amended and Restated Agreement and Plan of Merger ("Merger
Agreement") has been approved, adopted, certified, executed, and acknowledged by
each of the constituent corporations to the merger in accordance with the
provisions of Section 251 of the General Corporation Law of the State of
Delaware.

         3.   The name of the surviving corporation in the merger is Engineering
Animation, Inc., which corporation will continue its existence as the surviving
corporation under its present name, Engineering Animation, Inc.

         4.   The Certificate of Incorporation of Engineering Animation, Inc., 
as now in force and effect, shall continue to be the Certificate of
Incorporation of the surviving corporation until amended and changed pursuant to
the provisions of the General Corporation Law of the State of Delaware.

         5.   The executed Merger Agreement between the constituent corporations
is on file at the principal place of business of the surviving corporation, the
address of which is as follows: Attention: General Counsel, 2321 North Loop
Drive, Ames, Iowa 50010.

         6.   A copy of the Merger Agreement will be furnished by the surviving
corporation, on request and without cost, to any stockholder of the constituent
corporations.



<PAGE>   23

DATED: September 22, 1998

                                    ENGINEERING ANIMATION, INC.


                                    By:  /s/ Jamie A. Wade                  
                                         ------------------------------------
                                         Jamie A. Wade

                                    Its: Vice President of Administration and 
                                         General Counsel, Secretary





                                       2