Alignment with departmental program outcomes is indicated in parentheses. Upon completion of the course, students will be able to do the following:
1. Calculate left, right, and two-sided limits, infinite limits and limits at infinity.
2. Examine an algebraic, trigonometric, or multi-line function for points of discontinuity.
3. Distinguish between secant line and tangent line, between average rate of change and instantaneous rate of change.
4. Compute the derivative for simple algebraic functions using the definition.
5. Calculate derivatives of algebraic and trigonometric functions using derived rules for finding derivatives.
6. Describe curves using parametric equations.
7. Solve related rates problems by applying techniques of differentiation and optimization in this analysis.8. Calculate the linear approximation of a function near a given point and write derivatives in differential form.
9. Interpret Rolle’s Theorem and the Mean Value Theorem.
10. Analyze a polynomial, rational, or trigonometric function as to intervals of increase, decrease, concave up and concave down. Find extrema, and inflection points, and sketch the graph.
11. Apply Newton’s method for finding the zeros of a function.