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

SCHEDULE 13G

Under the Securities Exchange Act of 1934

(Amendment No. 3)*

Nuveen Insured California Dividend Advantage Municipal Fund

(Name of Issuer)

Common
(Title of Class of Securities)

67071M104
(CUSIP Number)

December 31, 2011
(Date of Event Which Requires Filing of this Statement)

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

[ X ] Rule 13d-1(b)

[ ] Rule 13d-1(c)

[ ] Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter the disclosures provided in a prior cover page.

The information required in the remainder of this cover page 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 (however, see the Notes).

- 1 -

CUSIP No. 67071M104

 1. Names of Reporting Persons, I.R.S. Identification Nos.
 of above persons (entities only):

 First Trust Portfolios L.P.: 36-3768815

 First Trust Advisors L.P.: 36-3788904

 The Charger Corporation: 36-3772451


 2. Check the Appropriate Box if a Member of a Group
 (See Instructions)

 (a) [ ]

 (b) [ ]


 3. SEC Use Only


 4. Citizenship or Place of Organization of each

 Reporting Person: Illinois, U.S.A.


Number of 5. Sole Voting Power: 0
Shares Bene-
ficially
Owned by Each 6. Shared Voting Power:
Reporting Such shares are held by the following entities in the
Person With: respective amounts listed:

 First Trust Portfolios L.P.: 0

 First Trust Advisors L.P.: 0

 The Charger Corporation: 0


 7. Sole Dispositive Power: 0

 8. Shared Dispositive Power:

 Such shares are held by the following entities in the
 respective amounts listed:

 First Trust Portfolios L.P.: 2,309,468

 First Trust Advisors L.P.: 2,309,468

 The Charger Corporation: 2,309,468



 9. Aggregate Amount Beneficially Owned by Each
 Reporting Person: 2,309,468


 10. Check if the Aggregate Amount in Row (9) Excludes
 Certain Shares (See Instructions)


 - 2 -


 11. Percent of Class Represented by Amount in Row (9): 15.1%


 12. Type of Reporting Person (See Instructions)

 First Trust Portfolios L.P. - BD

 First Trust Advisors L.P. - IA

 The Charger Corporation - HC


ITEM 1.

 (a) Name of Issuer: Nuveen Insured California Dividend
 Advantage Municipal Fund

 (b) Address of issuer's Principal Executive Offices

 John Nuveen & Co. Inc.
 Attn: Legal Department
 333 West Wacker Drive
 Chicago, IL 60606
 USA

ITEM 2.

 (a) Name of Person Filing

 First Trust Portfolios L.P.
 First Trust Advisors L.P.
 The Charger Corporation


 (b) Address of Principal Business Office or, if none, Residence

 First Trust Portfolios L.P.
 120 East Liberty Drive, Suite 400
 Wheaton, Illinois 60187

 First Trust Advisors L.P.
 120 East Liberty Drive, Suite 400
 Wheaton, Illinois 60187

 The Charger Corporation
 120 East Liberty Drive, Suite 400
 Wheaton, Illinois 60187


 (c) Citizenship of each Reporting Person:

 Illinois, U.S.A.


 (d) Title of Class of Securities

 Common Stock


 (e) CUSIP Number 67071M104


 - 3 -



ITEM 3. If this statement is filed pursuant to Sec. 240.13d-1(b) or
 240.13d-2(b) or (c), check whether the person filing is a:

 (a) x Broker or dealer registered under section 15 of the Act
 (15 U.S.C. 78o).

 (b) Bank as defined in section 3(a)(6) of the Act
 (15 U.S.C. 78c).

 (c) Insurance company as defined in section 3(a)(19) of the Act
 (15 U.S.C. 78c).

 (d) Investment company registered under section 8 of the
 Investment Company Act of 1940 (15 U.S.C. 80a-8).

 (e) x An investment adviser in accordance with
 Sec. 240.13d-1 (b)(1)(ii)(E).

 (f) An employee benefit plant or endowment fund in accordance
 with Sec. 140.13d-1(b)(1)(ii)(F).

 (g) x A parent holding company or control person in accordance
 with Sec. 240.13d-1(b)(1)(ii)(G).

 (h) A savings associations as defined in Section 3(b) of the
 Federal Deposit Insurance Act (12 U.S.C. 1813).

 (i) A church plan that is excluded from the definition of an
 investment company under section 3(c)(14) of the Investment
 Company Act of 1940 (15 U.S.C. 80a-3).

 (j) Group, in accordance with Sec. 240.13d-1(b)1(ii)(J).


ITEM 4. Ownership

 Provide the following information regarding the aggregate number and
 percentage of the class of securities of the issuer identified in
 Item 1.

 (a) Amount beneficially owned: 2,309,468

 (b) Percent of class: 15.1%

 (c) Number of shares as to which the person has:

 (i) Sole power to vote or to direct the vote: 0

 (ii) Shared power to vote or to direct the vote: 0

 (iii) Sole power to dispose or to direct the disposition

 of: 0

 (iv) Shared power to dispose or to direct the disposition

 of: 2,309,468


 - 4 -


Instruction. For computations regarding securities which represent a right to
 acquire an underlying security see Sec. 204.13d-3(d)(1).

ITEM 5. Ownership of Five Percent or Less of a Class
 If this statement is being filed to report the fact that as of the
 date hereof the reporting person has ceased to be the beneficial owner
 of more than five percent of the class of securities, check the
 following [ ].



Instruction: Dissolution of a group requires a response to this item.

ITEM 6. Ownership of More than Five Percent on Behalf of Another Person

This Schedule 13G filing is jointly filed by The Charger Corporation, First
Trust Portfolios L.P. and First Trust Advisors L.P. pursuant to Rule
13d-1(k)(1). The Charger Corporation is the General Partner of both First Trust
Portfolios L.P. and First Trust Advisors L.P. First Trust Portfolios L.P. acts
as sponsor of certain unit investment trusts which hold shares of the issuer.
The total number of shares of the issuer held by these unit investment trusts
is set forth in Row (8) above with respect to First Trust Portfolios L.P. No
individual unit investment trust sponsored by First Trust Portfolios L.P. holds
more than 3% of any registered investment company issuer's shares. First Trust
Advisors L.P., an affiliate of First Trust Portfolios L.P., acts as portfolio
supervisor of the unit investment trusts sponsored by First Trust Portfolios
L.P., certain of which hold shares of the issuer. Neither First Trust Portfolios
L.P., First Trust Advisors L.P. nor The Charger Corporation have the power to
vote the shares of the issuer held by these unit investment trusts sponsored by
First Trust Portfolios L.P. These shares are voted by the trustee of such unit
investment trusts so as to insure that the shares are voted as closely as
possible in the same manner and in the same general proportion as are the shares
held by owners other than such unit investment trusts. The difference, if any,
between the aggregate amount of shares beneficially owned by each reporting
person, as set forth in Row (9) above, and the number of shares of the issuer
held by the unit investment trusts sponsored by First Trust Portfolios L.P.
represents shares of the issuer which are either held in other registered
investment companies, pooled investment vehicles and/or separately managed
accounts for which First Trust Advisors L.P. serves as investment advisor and/or
investment sub-advisor. Each of First Trust Portfolios L.P., First Trust
Advisors L.P. and The Charger Corporation disclaims beneficial ownership of the
shares of the issuer identified in this filing.



ITEM 7. Identification and Classification of the Subsidiary Which Acquired
 the Security Being Reported on By the Parent Holding Company

 See Item 6.



ITEM 8. Identification and Classification of Members of the Group

 Not Applicable.



 - 5 -



ITEM 9. Notice of Dissolution of Group

 Not Applicable.



ITEM 10. Certification

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

 FIRST TRUST PORTFOLIOS L.P.,
 FIRST TRUST ADVISORS L.P. and
 THE CHARGER CORPORATION
 Date: January 10, 2012


 By: /s/ Mark R. Bradley
 ---------------------------
 Mark R. Bradley
 Chief Financial Officer and
 Chief Operating Officer of
 First Trust Portfolios L.P. and
 First Trust Advisors L.P., and
 Treasurer of The Charger Corporation



 - 6 -

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