<PAGE>   1
================================================================================

                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549



                                    FORM 10-Q/A

(Mark One)

[X]    Quarterly report pursuant to Section 13 or 15(d) of the Securities
       Exchange Act of 1934

       FOR THE QUARTERLY PERIOD ENDED DECEMBER 31, 1996

                                       OR

[ ]    Transition report pursuant to Section 13 or 15(d) of the Securities
       Exchange Act of 1934

Commission file number:  0-24756


                          EPIC DESIGN TECHNOLOGY, INC.
             (Exact name of registrant as specified in its charter)

CALIFORNIA                                                77-0135608
(State of other jurisdiction of                           (I.R.S. Employer
incorporation or organization)                            Identification Number)

                              310 NORTH MARY AVENUE
                           SUNNYVALE, CALIFORNIA 94086
                    (Address of principal executive offices)

                         TELEPHONE NUMBER (408) 731-2900
              (Registrant's telephone number, including area code)




         Indicate by check mark whether the registrant (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports) and, (2) has been subject to such
filing requirements for the past 90 days.


                        Yes      X                No
                            ----------               ----------

         As of December 31, 1996 there were 13,717,285 shares of the
Registrant's Common Stock outstanding.

================================================================================
<PAGE>   2
PART II - OTHER INFORMATION

ITEM 6:   Exhibits and Reports on Form 8-K



         (a)      Exhibit

                   2.1 Agreement and Plan of Merger, dated
                       as of January 16 1997, among Synopsys, Inc.,
                       EPIC Merger Co., Inc. and the Company. (1)*  

                  11.1 Statement regarding computation of per share earnings*
                  
                  27.1 Financial Data Schedule

         (b)      Reports on Form 8-K

                  The Company did not file any reports on Form 8-K during the
                  three months ended December 31, 1996.


         -------------------------
               
                 *   Previously filed.

                 (1) Incorporated by reference to the Registration
                     Statement on Form S-4 (Reg. No. 333-21129)
                     of Synopsys, Inc. as filed with the Securities
                     and Exchange Commission on February 5, 1997.



                                      -2-

<PAGE>   3
SIGNATURES





Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned thereunto duly authorized.




Dated:  February 5, 1997
                                    EPIC DESIGN TECHNOLOGY, INC.
                                    (Registrant)




                                    /s/ TAMMY LIU
                                    ____________________________________________
                                    Tammy Liu
                                    Chief Financial Officer and Secretary
                                    (Principal Financial and Accounting Officer)




                                      -3-

<PAGE>   4
                                INDEX TO EXHIBITS


                                                                    
                                                                        
        EXHIBIT                                                             
--------------------------------------------------------------------------------
11.1    Statement regarding computation of per share earnings                



         (a)      Exhibit

                   2.1 Agreement and Plan of Merger, dated
                       as of January 16 1997, among Synopsys, Inc.,
                       EPIC Merger Co., Inc. and the Company. (1)*  

                  11.1 Statement regarding computation of per share earnings*
 
                  27.1 Financial Data Schedule

         (b)      Reports on Form 8-K

                  The Company did not file any reports on Form 8-K during the
                  three months ended December 31, 1996.


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

                  *  Previously filed.

                 (1) Incorporated by reference to the Registration
                     Statement on Form S-4 (Reg. No. 333-21129)
                     of Synopsys, Inc. as filed with the Securities
                     and Exchange Commission on February 5, 1997.