Good Works and the Gospel

For we ourselves were once foolish, disobedient, led astray, slaves to various passions and pleasures, passing our days in malice and envy, hated by others and hating one another. But when the goodness and loving kindness of God our Savior appeared, he saved us, not because of works done by us in righteousness, but according to his own mercy, by the washing of regeneration and renewal of the Holy Spirit, whom he poured out on us richly through Jesus Christ our Savior, so that being justified by his grace we might become heirs according to the hope of eternal life. The saying is trustworthy, and I want you to insist on these things, so that those who have believed in God may be careful to devote themselves to good works. These things are excellent and profitable for people.--Titus 3:3-8 (ESV)

How do good works and the Gospel relate?

In the next few posts, I'm going to try to answer this question from this passage in Titus 3. Here's my tentative series outline:

1) We are not able to save ourselves with good works.
2) God does not save us through good works but through regeneration.
3) Our regeneration produces good works.