This is my first year of owning a small home business. I have educational courses I paid for to start my business. Where do these expenses get entered in Turbotax?

You can report it on Schedule C under Other miscellaneous expenses. Type Miscellaneous in the search box on the business expenses if you can't see that type of expenses. 

Where do I enter my self-employment business expenses?

Per IRS:

To be deductible, a business expense must be both ordinary and necessary. An ordinary expense is one that is common and accepted in your industry. A necessary expense is one that is helpful and appropriate for your trade or business.