SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549

                                  SCHEDULE 13G

                  Under the Securities and Exchange Act of 1934

                                 Synopsys, Inc.
                                (Name of Issuer)

                                  Common Stock
                         (Title of Class of Securities)

                                    871607107
                                 (CUSIP Number)

                                November 30, 2008
             (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

     This Schedule is filed pursuant to Rule 13d-1(b)

The information required in the remainder of this cover page (except any items
to which the form provides a cross-reference) shall not be deemed to be "filed"
for the purpose of Section 18 of the Securities Exchange Act of 1934 ("Act") or
otherwise subject to the liabilities of that section of the Act but shall be
subject to all other provisions of the Act.



CUSIP NO. 871607107

1)   Name of Reporting Person                     Ameriprise Financial, Inc.

     S.S. or I.R.S. Identification                IRS No. 13-3180631
     No. of Above Person
--------------------------------------------------------------------------------

2)   Check the Appropriate Box                    (a) [ ]
     if a Member of a Group                       (b) [X]*

*    This filing describes the reporting person's relationship with other
     persons, but the reporting person does not affirm the existence of a group.
--------------------------------------------------------------------------------

3)   SEC Use Only
--------------------------------------------------------------------------------

4)   Citizenship or Place of Organization         Delaware

        NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH

5)   Sole Voting Power                            -0-

6)   Shared Voting Power                          21,600,361

7)   Sole Dispositive Power                       -0-

8)   Shared Dispositive Power                     21,600,361
--------------------------------------------------------------------------------

9)   Aggregate Amount Beneficially
     Owned by Each Reporting Person               21,600,361
--------------------------------------------------------------------------------

10)  Check if the Aggregate Amount in
     Row (9) Excludes Certain Shares              Not Applicable
--------------------------------------------------------------------------------

11)  Percent of Class Represented by
     Amount In Row (9)                            14.99%
--------------------------------------------------------------------------------

12)  Type of Reporting Person                     CO
--------------------------------------------------------------------------------



CUSIP NO. 871607107

1)   Name of Reporting Person                     RiverSource Investments, LLC

     S.S. or I.R.S. Identification                IRS No. 13-3180631
     No. of Above Person
--------------------------------------------------------------------------------

2)   Check the Appropriate Box                    (a) [ ]
     if a Member of a Group                       (b) [X]*

*    This filing describes the reporting person's relationship with other
     persons, but the reporting person does not affirm the existence of a group.
--------------------------------------------------------------------------------

3)   SEC Use Only
--------------------------------------------------------------------------------

4)   Citizenship or Place of Organization         Minnesota

       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH

5)   Sole Voting Power                            -0-

6)   Shared Voting Power                          21,600,361

7)   Sole Dispositive Power                       -0-

8)   Shared Dispositive Power                     21,600,361
--------------------------------------------------------------------------------

9)   Aggregate Amount Beneficially
     Owned by Each Reporting Person               21,600,361
--------------------------------------------------------------------------------

10)  Check if the Aggregate Amount in
     Row (9) Excludes Certain Shares              Not Applicable
--------------------------------------------------------------------------------

11)  Percent of Class Represented by
     Amount In Row (9)                            14.99%
--------------------------------------------------------------------------------

12)  Type of Reporting Person                     IA
--------------------------------------------------------------------------------



CUSIP NO. 871607107

1)   Name of Reporting Person                     Seligman Communications and
                                                  Information Fund, Inc.

     S.S. or I.R.S. Identification                IRS No. 13-31544499
     No. of Above Person
--------------------------------------------------------------------------------

2)   Check the Appropriate Box                    (a) [ ]
     if a Member of a Group                       (b) [X]*

*    This filing describes the reporting person's relationship with other
     persons, but the reporting person does not affirm the existence of a group.
--------------------------------------------------------------------------------

3)   SEC Use Only
--------------------------------------------------------------------------------

4)   Citizenship or Place of Organization         Maryland

        NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH

5)   Sole Voting Power                            -0-

6)   Shared Voting Power                          12,261,400

7)   Sole Dispositive Power                       -0-

8)   Shared Dispositive Power                     12,261,400
--------------------------------------------------------------------------------

9)   Aggregate Amount Beneficially
     Owned by Each Reporting Person               12,261,400
--------------------------------------------------------------------------------

10)  Check if the Aggregate Amount in
     Row (9) Excludes Certain Shares              Not Applicable
--------------------------------------------------------------------------------

11)  Percent of Class Represented by
     Amount In Row (9)                            8.51%
--------------------------------------------------------------------------------

12)  Type of Reporting Person                     IV
--------------------------------------------------------------------------------




                                            
1(a) Name of Issuer:                              Synopsys, Inc.

1(b) Address of Issuer's Principal                700 East Middlefield Road
     Executive Offices:                           Mountain View, CA 94043

2(a) Name of Person Filing:                       (a) Ameriprise Financial, Inc. ("AFI")
                                                  (b) RiverSource Investments, LLC ("RvS")
                                                  (c) Seligman Communications and
                                                      Information Fund, Inc. ("C&I Fund")

2(b) Address of Principal Business Office:
                                                  c/o Ameriprise Financial, Inc.
                                                  145 Ameriprise Financial Center
                                                  Minneapolis, MN 55474

2(c) Citizenship:                                 (a) Delaware
                                                  (b) Minnesota
                                                  (c) Maryland

2(d) Title of Class of Securities:                Common Stock

2(e) Cusip Number:                                871607107


3    Information if statement is filed pursuant to Rules 13d-1(b) or 13d-2(b):

     (a)  Ameriprise Financial, Inc.

          A parent holding company in accordance with Rule 13d-1(b)(1)(ii)(G).
          (Note: See Item 7)

     (b)  RiverSource Investments, LLC

          An investment adviser in accordance with Rule 13d-1(b)(1)(ii)(E)

     (c)  Seligman Communications and Information Fund, Inc.

          An Investment company registered under Section 8 of the Investment
          Company Act of 1940.

4    Incorporated by reference to Items (5)-(9) and (11) of the cover page
     pertaining to each reporting person.



     RvS, as an investment adviser to the C&I Fund, may be deemed to
     beneficially own the shares reported herein by the C&I Fund. Accordingly,
     the shares reported herein by RvS include those shares separately reported
     herein by the C&I Fund.

     AFI, as the parent company of RvS, may be deemed to beneficially own the
     shares reported herein by RvS. Accordingly, the shares reported herein by
     AFI include those shares separately reported herein by RvS.

     Each of Ameriprise Financial, Inc. and RiverSource Investments, LLC , and
     the subsidiaries identified on the attached Exhibit I, disclaims beneficial
     ownership of any shares reported on this Schedule.

5    Ownership of 5% or Less of a Class: Not Applicable

6    Ownership of more than 5% on Behalf of Another Person: The clients of
     RiverSource Investments, LLC, a registered investment adviser, including
     investment companies registered under the Investment Company Act of 1940
     and other managed accounts, have the right to receive or the power to
     direct the receipt of dividends and proceeds from the sale of shares
     included on this Schedule. As of November 30, 2008, only the C&I Fund, a
     registered investment company, owned shares of more than 5% of the class of
     securities reported herein. Any remaining shares reported herein by RvS are
     owned by various other accounts managed by RvS on a discretionary basis. To
     the best of RvS's knowledge, none of these other accounts own more than 5%
     of the outstanding shares.

7    Identification and Classification of the Subsidiary Which Acquired the
     Security Being Reported on by the Parent Holding Company:

     AFI: See Exhibit I

8    Identification and Classification of Members of the Group:

                                 Not Applicable

9    Notice of Dissolution of Group:

                                 Not Applicable

10   Certification:

          By signing below I certify that, to the best of my knowledge and
     belief, the securities referred to above were acquired in the ordinary
     course of business and were not acquired for the purpose of and do not have
     the effect of changing or influencing the control of the issuer of such
     securities and were not acquired in connection with or as a participant in
     any transaction having such purposes or effect.



Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
     certify that the information set forth in this statement is true, complete
     and correct.

Dated: December 10, 2008

                                        Ameriprise Financial, Inc.


                                        By /s/ Wade M. Voigt
                                           -------------------------------------
                                           Name: Wade M. Voigt
                                           Title: Director - Fund Administration

                                        Contact Information

                                        Wade M. Voigt
                                        Director - Fund Administration
                                        Telephone: (612) 671-5682



                                  Exhibit Index


          
Exhibit I    Identification and Classification of the Subsidiary which Acquired
             the Security Being Reported on by the Parent Holding Company.

Exhibit II   Joint Filing Agreement




                                    Exhibit I

                                       to

                                  Schedule 13G

Ameriprise Financial, Inc., a Delaware Corporation, is a parent holding company.
The classification and identity of the relevant subsidiaries is as follows:

Investment Company - RiverSource Funds and Seligman Funds, comprised of
investment companies registered under section 8 of the Investment Company Act of
1940

Investment Adviser - RiverSource Investments, LLC and Kenwood Capital Management
LLC, each an investment adviser registered under section 203 of the Investment
Advisers Act of 1940.




                                   Exhibit II

                                       to

                                  Schedule 13G

                             Joint Filing Agreement

The undersigned persons agree and consent to the joint filing on their behalf of
this Schedule 13G dated December 10, 2008 in connection with their beneficial
ownership of Synopsys, Inc. Each of Seligman Communications and Information
Fund, Inc. and RiverSource Investments, LLC authorizes Ameriprise Financial,
Inc. to execute the Schedule 13G to which this Exhibit is attached and make any
necessary amendments thereto.

Ameriprise Financial, Inc.


By: /s/ Wade M. Voigt
    Wade M. Voigt
    Director - Fund Administration


Seligman Communications and Information Fund, Inc.


By: /s/ Scott R. Plummer
    Scott R. Plummer
    General Counsel


RiverSource Investments, LLC


By: /s/ Peter A. Gallus
    Peter A. Gallus
    Senior Vice President and Chief Operating Officer