computer lab
tom.h.wilson
tom.wilson@mail.wvu.edu
Department of Geology and Geography
of Geology and Geography
West Virginia University
Morgantown, WV
Begin computer lab next time. Machines will be
reformatted so well wait till Tuesday to jump
in.
Pick up
Log relationships, trig functions,
earthquakes & computer lab
tom.h.wilson
tom.wilson@mail.wvu.edu
Department of Geology and Geography
of Geology and Geography
West Virginia University
Morgantown, WV
Logarithms
The allometric or exponential functions are
Equation Manipulation
illustrated around the
concept of Isostacy
tom.h.wilson
tom.wilson@geo.wvu.edu
Department of Geology and Geography
West Virginia University
Morgantown, WV
Tom Wilson, Department of Geology and Geography
Hand in problem 2.13 & 2.15 to
Recall that chapters 1 &2 have been
posted on class web page
Common relationships between geologic variables.
What kind of mathematical model can you use to
diff
represent different processes?
We discussed this simple linear
relationship last time
Age k x
Basic Review
tom.h.wilson
tom.wilson@mail.wvu.edu
Department of Geology and Geography
West Virginia University
Morgantown, WV
Lets take a short tour of the Excel files provided by
Waltham that are coordinated with text exercises
and discussions
Click on t
Problem
Problem Presentation formats with
Discussion of problems 2.15,3.11 & 3.12
tom.h.wilson
tom.wilson@mail.wvu.edu
Department of Geology and Geography
of Geology and Geography
West Virginia University
Morgantown, WV
Need to make sure you have computer
Geology 351 - Geomath
Computer Lab Introductory Problem (using Excel)
Evaluating Depth/Age Relationships in the North Sea
The following instructions take you step-by-step through the generation and plotting of a data set using Excel.
Many of you may alrea
Names: _ Geomath: In-Class Problems 9.9 & 9.10 Part 1) Read problem 9.9 in the text. 2 Given r 2 = re2 1 z 2 rp
April 22, 2010
1) What is the volume of a disk z thick at some arbitrary zi? Hint: volume = area of disk times its thickness.
2) Express the v
Estimating the coefficients
of linear, exponential,
polynomial, logarithmic, and
power law expressions
tom.h.wilson
tom.wilson@mail.wvu.edu
Department of Geology and Geography
West Virginia University
Morgantown, WV
Tom Wilson, Department of Geology and G
Name: _
These problems are not due this
Thursday. Look over them and
work as you read through
chapters 1 and 2.
Always show
your work
Geology 351
Mathematics for Geologists
Warm-up Part 2: Intro In-Class Problem Set
1) 33 x 34 _ (show in simplified form a
_ Name: _ Group Members: _ _ Geology 351 Mathematics for Geologists In-class worksheet
Problem 3.11 Stokes' law states that the viscosity at which a spherical particle suspended in a fluid settles is given by
v=
2 p f gr 2 9
(
)
where v is the velocity of
Geol 351 - Geomath
Chapter 8 Problem Assignment
Spring 2011
Part 1: Due next this Thursday (March 17)
8.13 Text problem
In problem 8.13 the thickness of the post rift sediments (S) deposited in a simple
extensional basin is approximated by the relationsh
Geol 351 Geomathematics: Chapter 9 Integral Calculus Estimating the cross-sectional area of a sedimentary deposit
Problem 9.7: The thickness of a sedimentary deposit varies as shown in the table below:
Distance (m) Thickness (m) 0 0 100 1 200 2 400 3 1000
Presentation Outline Computer Problem Set 1
Problems 2-11 & 2-12
2-11
a) Present the graph of Age versus Depth (5 points).
Label to note regions with different sedimentation rates.
b) Present your calculations. Organize them in a step by step fashion. Don
2/15/2011
1. Given that y = xz, evaluate log(y).
2. Express log (xy/z) as a combination of logs of each
variable. Use at least two steps to develop your result.
3. Given that y = q log(r), simplify the expression 10y . Show
your steps and state the rules
Geology 351 GeoMathematics Excel Formulas and Variables
In the quadratics and Settling Velocities lab discussion (see last weeks handout) there is a discussion of the solution for quadratic A) 3x2 -x -5. Below, three separate approaches to setting up the
Name: _ Bring back to class on Thursday for discussion
Theyll be due then.
Discussion Group worksheet [Geology 351 Geomath (Wilson)]
Names _
_
_
_
1. Graph the sin (6x)
sin(6x)
1.0
sin()
0.5
0.0
-0.5
-1.0
0
45
90
135
180
225
270
315
360
degrees
2. Calcula
Name: _
Geol 351- Geomathematics
In-class group problem
Group members:
Youve been given information about scale and a list of questions to answer.
Here are some additional questions to consider.
1) Can you accurately measure distance traveled in both the
Geology 351 - Geomath
Estimating the coefficients of various
Mathematical relationships in Geology
Throughout the semester youve encountered a variety of mathematical relationships between various
geologic variables such as age vs. depth, porosity vs. dep
tom.h.wilson
tom.wilson@mail.wvu.edu
Dept. Geology and Geography
West Virginia University
Tom Wilson, Department of Geology and Geography
Recall how we estimate distance covered when
velocity varies continuously with time: v = kt
kt 2
ktdt 2 C
This is an
tom.h.wilson
tom.wilson@mail.wvu.edu
Dept. Geology and Geography
West Virginia University
Tom Wilson, Department of Geology and Geography
Discussion of problems in Chapter 8
8.13
Tom Wilson, Department of Geology and Geography
1
Problem 8.14
Tom Wilson, D
tom.h.wilson
tom.wilson@mail.wvu.edu
Dept. Geology and Geography
West Virginia University
Tom Wilson, Department of Geology and Geography
cos
x3 x 2
x
32
e 5 19
1
ex
x2
Tom Wilson, Department of Geology and Geography
1
Take the simple function y x
What
tom.h.wilson tom.wilson@mail.wvu.edu Dept. Geology and Geography West Virginia University
Tom Wilson, Department of Geology and Geography
Finish derivatives Minima and maxima. Derivatives in reverse. Discussion of problems 8.16-8.18 Text problems 8.13 and
tom.h.wilson
tom.wilson@mail.wvu.edu
Dept. Geology and Geography
West Virginia University
EXTRA CREDIT - Term Report
Consider doing a term report for 5% extra credit (8%
with poster). Term reports are expected to be typed,
double spaced, using times new r
tom.h.wilson
tom.wilson@mail.wvu.edu
Dept. Geology and Geography
West Virginia University
Tom Wilson, Department of Geology and Geography
de x
ex
dx
dAecx
d (cx)
Aecx
cAecx
dx
dx
This is an application of the rule for
differentiating exponents and the