MS 226-03
Margie Hale, Fall 2008

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

• calculate answers, using the techniques we discussed;
• use your graphing calculator efficiently and correctly;
• apply your knowledge to solving word problems;
• justify the steps you use in solving problems;
• write grammatical explanations of key ideas from the course.

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.
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.