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tom.h.wilson [email protected] .edu Department of Geology and Geography West Virginia University Morgantown, WV

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Page 1: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

[email protected]

Department of Geology and GeographyWest Virginia University

Morgantown, WV

Page 2: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Text General information sheet Computer accounts & log on Office hours GTA Payam Kavousi (11:30 to 1MW,

rm 223 ) and Wilson (11:15-12, TTH, rm231). Syllabus Tour web site Prerequisites Grade (70% HW & in-class activities, attendance,

15% midterm, final group challenge, 15%) Today – handout first group exercise (due Thursday)

Topics for the day

Page 3: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Geol 351 Graduate Teaching AssistantPayam Kavousi

Tom Wilson, Department of Geology and Geography

Payam Kavousi (rm 223 Brooks) will be available for questions on Mondays and Wednesdays from 11:30 am to 1 pm.

Take advantage of his experience and bring your questions to him throughout the semester.

If you are going to drop by at other times be sure to check with Payam via email. He may have the additional time.

Page 4: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Purchase as soon as possible!

Tom Wilson, Department of Geology and Geography

Page 5: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Read Chapters 1 and 2 Turn in group problems 1 at the end of the

next class. Will hand out Group Problems 2 next time. We’ll begin some basic review (Chapters 1 &

2) in class Thursday.

Assignment

Page 6: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Using satellites to map groundwater depletionGRACE: gravity recovery and climate experiment

Tom Wilson, Department of Geology and Geography

See http://www.cbsnews.com/news/depleting-the-water/

California’s central Valley

Page 7: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

4 year decline - India

Tom Wilson, Department of Geology and Geography

Page 8: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

A global problem

Tom Wilson, Department of Geology and Geography

Page 9: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Another problem for general discussion

Page 10: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Some questions

Tom Wilson, Department of Geology and Geography

Page 11: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

How could this become a calculus problem?

What assumptions are made in this analysis?

What is a derivative?

Page 12: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Problem 1 for general discussion

Page 13: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Questions to consider

Tom Wilson, Department of Geology and Geography

Page 14: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

In what sense is this a calculus problem?

What is the derivative?

What is an unstated assumption in this problem?

Page 15: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Predicting the rate of ice cap retreat

Page 16: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Data plot showing best fit lines based on the linear and polynomial models

Page 17: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Questions to consider

Tom Wilson, Department of Geology and Geography

Page 18: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Another hypothesis

We will come back to these and have you work through some of them later.

Page 19: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Think about those problems and also get started with some review work

Tom Wilson, Department of Geology and Geography

Page 20: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Read Chapters 1 and 2 Look over group problems for discussion Do first 12 problems (in-class set) for

Thursday. Look over the problems in the back of

each chapter. We’ll begin some basic review in class

next time.

Assignment Reminder

Page 21: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Take solace from Churchillfrom Chapter III My Early Life: 1874-1904

Tom Wilson, Department of Geology and Geography

All my life from time to time I have had to get up disagreeable subjects at short notice, but I consider my triumph, moral and technical, was in learning Mathematics in six months. …

When I look back upon those care-laden months, their prominent features rise from the abyss of memory. …

We were arrived in an 'Alice-in-Wonderland' world, at the portals of which stood 'A Quadratic Equation.' …. Further dim chambers lighted by sullen, sulphurous fires were reputed to contain a dragon called the 'Differential Calculus.' But this monster was beyond the bounds appointed by the Civil Service Commissioners who regulated this stage of Pilgrim's heavy journey.

In geomath we must venture forth into those dimly lit chambers to confront the dragons of Differential and Integral Calculus – but not for a while.

Page 22: Tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV

Tom Wilson, Department of Geology and Geography