- Calculus Lab Hours:
- MTWR: 8:30 am -3:30 pm
- T: 6:30 pm-8:30 pm
- R: 7:30 pm-8:30 pm
- F: 8:30-noon
- Reminder: no class Monday (MLK Jr. Day)
- Today you'll have a shortened class session, followed by an ungraded, but very important test. This test will be used to predict your success in this course. It will be administered using scantrons: please use a #2 pencil! You'll have the last 40 minutes of class for that test.
- You have a 2.1 assignment:
- Remember to go to the on-line homework website, IMathAS (http://www.norsemathology.org/homework), and continue working on Homework Problems for section 2.1 (due next Tuesday night, at 11:59!)
- Read section 2.2 for next time (Tuesday).
- Problems to hand in (next Thursday, 1/21): pp. 48--, #17, 20, 21, 22
- Rate of change:
- velocity as a rate of change of position with respect to time
- captured in the famous "dirt" formula:
, or rather
- Reminder (sidebar of p. 42): speed and velocity are different.
- Average velocity is an approximation to the instantaneous velocity, given as a divided difference:
- Reminder: using limits to estimate instantaneous velocity (Exercise #8, p. 47)
- Unfortunately, with real data we often can't let points get arbitrarily close. So we're stuck with the averages.
- Case study: The Keeling curve, and data
- Keeling Curve
- How would you go about getting that "Annual Cycle" plot?
- Here's the data
- How can we apply the idea of rate of change to this data set?
- Remembering that many models suggest that really bad things happen when we hit 450 ppm of CO2, when would we estimate that might happen? How old will you be when that day comes?
