Math 107 Course Notes
From charlesreid1
Notes here: http://seattlecentral.edu/faculty/glangkamp/MAT107/mat107env.html
Contents
Outline
Broad outline:
- units, percents, other essential math
- graphical methods
- intro to statistics
- std dev
- normal distributions
- linear functions
Detailed outline:
- 7 days on units, percents, other essential math
- syllabus discussion
- lecture and practice problems
- project 1
- hw problem discussion
- quiz 1
- 5 days on graphical methods
- discussion on different chart types
- project 2 - energy graph
- hw problem discussion
- quiz 2
- 10 days on introduction to statistics
- field work x 2
- introduction to measures of average, variation, etc
- weighted means
- field work x 3
- calculator, histograms, skew
- homework q&a
- sampling
- quiz 3
- project due
- 10 days on standard deviation
- mean and stdev
- hw QA, z scores
- project
- pop and std dev, chebyshevs rule
- homework QA
- project day
- quiz 4
- 10 days on normal distributions
- areas under standard normal curve
- hw QA
- hazardous waste
- confidence intervals
- projects
- quiz 5
- 13 days on linear functions
- lecture
- hw QA
- project 6 (tougher grading)
- quiz 6
- project 6 - due
Examples
The applications in this case were environmental:
- units/percents - melting the world's ice
- graphical methods - US energy consumption
- intro to statistics/standard deviation - urban runoff index
- normal distributions - statistics of hazardous waste
- linear functions - measuring total fertility rates
Links/References
Nice pro-publica course: https://projects.propublica.org/graphics/data-institute-2016
Habits of highly mathematical people: https://medium.com/@jeremyjkun/habits-of-highly-mathematical-people-b719df12d15e#.4emuso46a
- Discussing definitions
- Coming up with counterexamples
- Being wrong often and admitting it
- Evaluating many possible consequences of a claim
- Teasing apart the assumptions underlying an argument
- Scaling the ladder of abstraction