Welcome to Math 221, Calculus 1
I’m Doug Baldwin
Why math? See “Ariala in CG Land” for one of many cool things it enables, in this case computer graphics
Talk about syllabus
- Grading
- Extra credit available
- Percentage grades will be lower than you’re used to
- Letter grades take that into account
- Buying but not using MyMathLab (cheaper in the long run for people taking Calc 2, and better resale value on book for those not)
- Roughly weekly problem sets
- Face-to-face grading
- R = math/statistics software
- Collaboration: you can help each other
Functions and Change
- Figure out how fast army size is changing by looking at ratio of size at beginning of some interval to size at end of interval
- Make interval smaller to get a sense of rate of change at a particular time
Yeast in beer
Tangent to spiral
- Idea: draw line through points on either side of circle, make points closer and closer to get better tangent
Commonality? Bringing 2 points closer together, estimate of function at both points, ratio or difference
Next
The concept of “limit”
Read Section 2.1 and 2.2 through “Limits of Function Values”
- Pages 41 - 50