Day 60 in MAT229

• It's the last day in Week 16, and the last day of the course!

• Details on the final exam:
  • We're going to hold it at the time slot for the lab, which is Thursday, 5/6, 12:20-2:20. It will be held on Canvas, but you will have two hours to do it.

  • We are open to allowing those who would prefer taking it in Prof. Wilkinson's time slot (which is Tuesday, 5/4, 10:10-12:10) to do so. Let me know if this is you.

  • You will be allowed a page of notes and a calculator.

• Because I don't like to make things due in finals week, anything with a due date in that week is optional, and serves as a replacement for lower grades.

  I would do these labs, and IMath exercises anyway -- because they're preparing you for the final. But don't sweat the grades, because they can only help you. That being said, if you need the help, it's time to do them and do well on them....

• Review:
  • Here's a Practice Final (solutions are clickable -- the double arrows) (pdf version)

  • Here's a key for that last weekly assignment (and a pdf version).

  • Here's a parametric/polar/vector review of the "new stuff" (pdf)

  • Reviews for previous material:
    1. Exam 1
    2. Exam 2
    3. Exam 3
    4. Exam 4

  • Look back over your IMath assignments. That's a great resource. You can really get a sense of the course, if you look back over all you've done.

  • Look back through the prior agendas. I like to start at Day 1, and just click "Next time", and surf through the course. It may seem a blur, but you get a sense for the entire course. And if you hit something that doesn't seem familiar, it's perhaps time to stop and revisit that concept.

  • You can always contact me with questions. Your final will resemble previous exams -- just longer.

• Have a great summer! (But don't forget everything we've taught you!:)

Let's use the tools we've developed -- vectors, unit vectors, dot and cross products -- to create some important three-dimensional objects: lines and planes in three-space.

As we know in calculus, linear things are very important. It is the tangent line which plays an importantly special role in calculus; and if you continue on to multivariate calculus (Calc III -- and I hope that you will), you'll encounter the tangent plane (one dimension up!).

Materials:

• Lines and Planes (.nb)
• Lines and Planes (.pdf)
• Long talks you through those linear things....

• Another week and we'd have everything we need to understand Kepler's First Law: that planets travel in elliptical paths around the sun.
  • From Stewart's text
  • Supporting Mathematica code