Look for the following calculus material or headings in the table of contents.

• Limits and Derivatives 
• Limit of a function 
• Calculating limits 
• Limit laws Continuity 
• Differentiation Rules 
• Rates of change 
• Derivative rules (polynomials and exponentials) 
• Product rule 
• Quotient rule 
• Derivatives of trigonometric functions 
• The chain rule 
• Implicit differentiation 
• Derivatives of logarithmic functions 
• Applications of Differentiation (subtitles may differ widely here) 

Notes for use: This course should be equivalent to a Calculus 1 course at a typical university. If you know what college your student plans to attend, find out which calculus textbook they use and go with it.

In fact, ask the college for a syllabus and sample tests! A good deal of information can be gleaned from the UAB website on the screening math test and the UAB math test bank. (See the resources at the end of the chapter.)

Also, note that Calculus textbooks are often written for Calculus I, II, and III. So your textbook will be a lot bigger than what you will teach in high school. Also, if you do go with a college textbook you will pay a hefty price. An alternative is to find the previous edition on Amazon, eBay, etc – much cheaper with probably little change in material.