BookVerse

About This Book

Here are a few algebra tips and tricks to get you started. In later chapters, we will have some “just-in-time” algebra review, so you’ll review an algebra concept just before you need it. Combining Like terms A term is one or more things multiplied together: for example, [latex]xyz[/latex] is a term since it is [latex]x[/latex] times [latex]y[/latex] times [latex]z[/latex], [latex]b^2[/latex] is a term, since it is [latex]b[/latex] times [latex]b.[/latex] and [latex]x[/latex] is a term. If there

Chapters

• - Simplify the following algebraic expressions.
• - For each position graph, sketch the velocity graph. (This process is known as
• In Section 1A, we saw how to go from a position graph to a velocity graph. Howev
• - Graph each piecewise defined function.
• Factoring
• A lot of times you don’t need to look at a graph or make a table to find a limit
• A quick fraction hint
• In the last section, we saw the instantaneous rate of change, or derivative, of
• Purpose of the project: Struggle through a difficult but important calculus prob
• Their population is also mysteriously declining, so getting a handle on their n
• Exponents
• “I’ve got the power!” –Snap (German band)
• The function [latex]e^x[/latex]
• What about [latex]\frac{d}{dx} \left( \frac{x}{e^x} \right)[/latex]? Can we just
• With one additional rule, we will have the power to take the derivative of any f
• Sometimes we have a function and we just really want to know what its high point
• - Samantha has some whiskey at a party, and (being a science and math geek) esti
• - We’ve talked a lot about how derivatives measure slope, but literal slope on a
• As we’ll see in the next section, a differential equation looks like this: [late
• - Describe as best you can at this point in your own words what a differential e
• We will now outline a process one can follow to make sense of a difficult or com
• - For each differential equation below, do the following steps.
• We’ve seen a differential equation pop up several times already, and it is the m
• - Money that is compounded continuously follows the differential equation [latex
• Purpose: To be introduced to the concept of modeling with differential equations
• Suppose construction workers needed to remove dirt in a hill in order to run a r
• This process of finding the area underneath a curve is used for a lot more than
• (source: usgs.gov)
• - Compute the following definite integrals.
• In derivative story problems, often you’re given a function that describes the a
• Here are some steps and guidelines to follow, but it takes some intuition build

Rate This Book