Common Learning Outcomes - MATH 1106  7/24/07

1) The student will demonstrate an understanding of the relationship between slope, average rate of change, instantaneous rate of change, and the derivative.

2) The student will demonstrate an understanding of the numeric, graphical and algebraic determination of limits.

3) The student will be able to find the derivative of a function using the appropriate technique from the following: power rule, product rule, quotient rule, chain rule.

4) The student will be able to find relative minimums and/or maximums, absolute minimums and/or maximums and the inflection point using differentiation.

5) The student will be able to find the derivative of exponential and logarithmic functions.

6) The student will be able to solve application problems involving optimization, elasticity of demand, exponential growth, and exponential decay using the concepts of differentiation.

7) The student will demonstrate an understanding of the relationship between the derivative and the definite integral of a function.

8) The student will be able to use the Fundamental Theorem of Calculus to determine the definite integral of a function.

9) The student will be able to calculate the area between two curves using the definite integral.

10) The student will be able to solve application problems involving average value, present value, future value, consumers' surplus and producers' surplus using the definite integral.