The solutions to Quiz #1 have been posted on the Test and Quiz Solutions page.

Today we kept the lecture short and sweet due to the quiz. We reviewed the idea of inverse functions, functions that "reverse" the action of a given function. We recalled that the functions with an inverse were exactly the one-to-one functions. Just as a graph is the graph of a function if it passed the vertical line test, a function is one-to-one if and only if its graph passes the horizontal line test. (Those are the tests that say a graph is the graph of a function (a one-to-one function) if no vertical (horizontal) line touches the graph in more than one point.)

We also recalled how to find a formula for the inverse of a one-to-one function. (It can't always be done due to the algebra difficulty.) We also recalled how to graph an inverse, even if we don't have a formula in hand.

Then we took the quiz. Friday, we'll talk about exponentials, logarithms, and maybe even trig functions.

Today in Calculus I, we talked about how to make new functions from old ones. We did this in two ways. Graphically, we recalled all the ways we can transform a graph through shifting, stretching, and squashing. We then talked about how adding, subtracting, multiplying, dividing, or composing two functions works and how to find the domains of such combined functions.

Thursday, we'll talk about inverse functions, and recall exponential and logarithmic functions.

Section A meets Thursday from 7:45 to 8:35 in Cabot 295.

We will be back in our usual room, Tompkins 275, on Friday morning.

This is a reminder that there will be a 20- to 25-minute quiz on the "Things I Think You Know" (Sections 1.1 through 1.6, except for inverse functions) Thursday in class.

Monday in Calculus I we went over the syllabus, homework schedule, grading policies, and expectations for the semester.

We then talked about a list of "Things I Think You Know," which included the topics from Sections 1.1 through 1.5 of our book. If you haven't looked those sections over to check for knowledge gaps please do so before the end of add/drop.

The goal for Wednesday will be to go over the material in Section 1.6 on algebra of functions, and possibly start Section 1.7 on exponentials and logarithms.

See you then!

On this blog, I will mostly summarize the day's main points. Sometimes, I'll expand on something we merely touched upon in class. Sometimes, I'll re-explain a concept a new way. Sometimes, I'll provide links to cool math content on the web. Lots of times I'll remind you of upcoming deadlines. Read More...