用書：Calculus for Biology and Medicine, 3rd edition((國際學生版),Claudia Neuhauser, Prentice Hall, Upper Saddle River, NJ, 2011
| functions | derivative | maximum and minimum values | sequence |
| polynomial function | derivative of polynomial | L’hopistal rule | convergence of sequence |
| polynomial function | derivative of exponential function | curve sketching | convergence of series |
| polynomial function | derivative of logatithm function | optimization method | sequence and function |
| rational function | product rule | Newton’s method | |
| exponential function | quotient rule | ||
| logarithm function | chain rule | integral | functions with more than one variable |
| implicit differentiatonal | definite integral | differential of functions with two variables | |
| Limit | linear approximation | indefinite integral | double integral |
| limit of sequence | substitution rule | ||
| limit of function | probability | ||
| continuity | polar coordinate | ||
| limit at infinity | differential equation |