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
|best fit linear and exponential models|
|antiderivatives and indefinite integrals|
|slope of a tangent line|
|rate of change – average and instantaneous|
|revenue, cost, profit|
|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.
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.
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
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