1. recognize properties of functions;
2. recall and use properties of polynomials, rational functions, exponential, logarithmic, trigonometric and inverse-trigonometric functions; understand the terms domain and range;
3. verify the value of the limit of a function at a point using the definition of the limit
4. find points of discontinuity for functions and classify them.
5. approximate the slope of a tangent line to a graph at a point
6. interpret the slope of a graph .
7. use the limit definition to find the derivative of a function and the slope of a graph at a point
8. use the derivative to find the derivative of a function and the slope of a graph at a point.
9. use the graph of a function to recognize points at which the function is not differentiable.
10. Find the derivative using the constant rule, the power rule, the constant multiple rule, and sum and difference rules
11. use the algebra of limits, and L’Hôspital’s rule to determine limits of simple expressions;
12. apply the procedures of differentiation accurately, including logarithmic differentiation;
13. perform accurately definite and indefinite integration, using integration by parts, substitution, inverse substitution;
14. understand and apply the procedures for integrating rational functions.