From charlesreid1

Notes here: http://seattlecentral.edu/faculty/glangkamp/MAT107/mat107env.html

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

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