Specifics: Test 1 | Test 2 | Test 3 | Test 4
Your final exam is a comprehensive test of what you have learned this semester. You are expected to
| Calculations | |
|---|---|
| solving equations | |
| best fit linear and exponential models | |
| derivatives | |
| antiderivatives and indefinite integrals | |
| definite integrals | |
| Applications | |
| slope of a tangent line | |
| rate of change – average and instantaneous | |
| compound interest | |
| revenue, cost, profit | |
| marginal analysis | |
| elasticity | |
| optimization | |
| graphing | |
| net change | |
| Concepts | |
| DANG – descriptive, analytic, numerical, graphical | |
| modeling – what is it, linear, exponential | |
| derivative – what is it, definition, uses, approximating | |
| integral – what is it, definition, uses | |
Content of Test 1
Functions: descriptive, analytic, numerical, and graphical viewpoints.
Models and their properties: linear, quadratic, exponential, logarithmic.
Solving equations; quadratic formula.
Finding linear and exponential functions that fit various descriptions.
Compound interest, revenue, cost, profit, supply, demand.
Content of Test 2
Average and instantaneous rates of change.
Derivatives: numerical & graphical viewpoints.
Derivatives as limits.
Derivatives of polynomials.
Marginal analysis.
Content of Test 3
Product, Quotient, and Chain rules.
Derivatives of logarithmic and exponential functions.
Maxima and Minima: graphical and analytic viewpoints.
Optimization problems - important application.
Generating accurate graphs.
Elasticity.
Content of Test 4
Antiderivatives and indefinite integrals.
Definite integrals: numerical & graphical viewpoints.
Fundamental Theorem of Calculus.
Definite integral as net change.
spring 2009 course description
spring 2009 syllabus
instructions for the TI-83/84
study tips
prerequisites
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