We will generally be on-pace or ahead-of-pace with the WebAssign and Written Homework schedules. I encourage and foster your learning to look at the material well ahead-of-time. If you've already spent 15 minutes on the new section before I launch into my tirade, you will find that you learn faster and deeper in less total time.
I do like my job, but part of my job is helping you train yourself to not need me!
We covered graphing a transformed sine function by College Algebra (precalculus) methods of shifting, stretching, and reflecting.
We finished up with some discussion of couple of the Week 3 written exercises.
I worked a last example or two from Section 1.4 and discussed the most efficient use of the resources:
Don't view the resources, here, as a LAST resort. They're meant to speed up the learning curve for you. If you feel it's "cheating" to see what I did and hear what I had to say, then practice more problems of the same type, either with the "Practice Another" button in WebAssign or by looking up similar problems in the Exercises in the eBook.
Life is too short to spend an hour trying to figure out every new wrinkle.
We finished with graphs of sine and cosine, and how to build sine and especially cosine models to fit data that looks sinusoidal (wave-like). Amplitude, start point, period, midline.
I apologize for doing that, but I think you'll be better off in the long run, and I'm always about the longer run, sometimes to my dismay. Don't do as I did, planning for the future and not living for the present, as well. If you wait 'til you're "ready" to get married and have kids, for example, you never will! In the context of your math learning, however, I never want today's lesson to put a ceiling over what you can learn, tomorrow, even if it makes it easier to just "get through" today's lesson.
So, the pedagogy, so far, has been a bit nonlinear. From this point forward, however, I think we can just plod forward without any dain bramage being inflicted.
Good questions, today. I think they helped clear some things up, and re-focused the discussion where it was needed, rather than just my "plan" for the talk.
We touched on inverse sine and inverse cosine, briefly, in the context of drawing pictures, because your calculator will only ever give you half of the picture. It will only spit out one number, when the picture always reveals a second triangle (second picture) and a second number any time you face sin(x) = something. This is because for inverse sine to be a function, it can only ever spit out one number when it is fed one number.
Key concept: Reference Angle.
Don't hesitate to slow me down if things are jumping back and forth too rapidly. I get excited about what I want to show you, and want to avoid wasting time, so as little fiddling around time is sort of my goal. If serving that goal makes learning more difficult, that's messed-up.x
Man oh man! About everything that could go wrong, did go wrong! Great first impression I made! Woo-Hoo!
I think I got the gradebook thing fixed. Click here for your personal grade report
We tweaked some of the due dates, already. I really try to push 1.1 getting done, early, so we can relax towards the end of the semester. Hit the ground running, and be strong and unhurried in May.