How can I set weekly spending goals in Mint?

You can create and track weekly spending and targets that you can edit or delete as your financial circumstances and goals change. You’ll get personalized weekly reports that show what you’ve spent and how that compares to your overall goals. It’s all conveniently located under Monthly spending in Mint. 
From the Mint app:

  1. Open the Mint app 
  2. Tap Monthly, then tap Review last week’s spending
  3. Tap on a bubble to review a transaction in a category (i.e.: shopping, movies, etc.) 
  4. View your spending and create a spend target for the week by tapping the button at the bottom of your screen
  5. Tap Set this target to create a new spending target by using the keypad, then tap done
  6. The new spend target is set

You can create and edit as many targets as you like by repeating the steps above for each category.

Related Information:

How do I delete a Goal I've created? 
Can I link multiple Goals to one account? 
How do I create a goal?