JSS
Journal of Statistical Software
October 2015, Volume 67, Book Review 1.
doi: 10.18637/jss.v067.b01
Reviewer: James P. Howard, II
University of Maryland University College
DataDriven Modeling & Scientific Computation: Methods for Complex
Systems & Big
Hello class of MATH 172,
Below is the first assignment, It is due Tuesday, Sept. 13 in class
The material for the last problem will be learned next week.
Gideon
Assignment 1

1] For natural numbers a,b,c, show that (a+b)+c=a+(b+c)
(hint: fix b,c, a
Hello Math 172 class,
Below is assignment 2, due Thursday, September 22.
Good luck.
Gideon

1] For naturals r,q with r^+ denoting the successor of r,
show that if r<q while r^+ is not less than q, then r^+=q.
(this is an unproven part of the division wi
HOW TO APPLY TO PHOENIX EAST AVIATION
1. Fill out the attached application.
fill in as much information as possible. If something
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and let you
5 c.
Row Labels
Mechanical
Other
Pilot Error
Sabotage
Weather
Grand Total
Cause
Pilot Error
Mechanical
Weather
Sabotage
Other
Total
Sum of
1960s
Sum of
1970s
52
20
150
12
14
248
Sum of
1980s
38
30
132
25
13
238
Sum of
1990s
37
23
111
23
11
205
Sum of
2000
SUPPLEMENTARY LECTURE NOTES ON ELLIPTIC CURVES
PETE L. CLARK
Contents
1. What is an elliptic curve?
2. MordellWeil Groups
2.1. The Group Law on a Smooth, Plane Cubic Curve
2.2. Reminders on Commutative Groups
2.3. Some Elementary Results on MordellWeil
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 20 Mar 2008
Second Test. Wednesday, 25 Mar 2009. On chap sse/(n  1) for the three unknown parameters 0 , 1 , and 2 . The first two are normal distributions ters 69. with means being the p
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 27 Mar 2009
Monday and Wednesday. Presentations by you. Exercises 4, 5, 6, or 7 from chapter 10, pages 387 389. Coming up. Presentations from exercises begin and ning on page 390: 13, 16,
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 1 Apr 2008
When k was equal to 1, we found the least Monday. Presentations from exercises beginning squares line y = 0 + 1 x. It was a line in the plane on page 390: 13, 16, 17, 18, 19, 20,
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 16 Mar 2009
Second Test. Wednesday, 25 Mar 2009. On chapAs in the last chapter, we can have hypothesis ters 69. tests for the dierence of the means where the null hypothese H0 : p1 p2 = d i
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 9 Mar 2009
Due Today. Page 262: 1, 2, 9, 11, 12. Due Friday. From chap. 7, p. 265, exercises 17, 18, 19. Today. Inferences for two samples. Independent samples. General questions for statis
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 18 Mar 2009
Second Test. Wednesday, 25 Mar 2009. On chap Then the least squares line that minimizes E(a, b) has ters 69. Due Friday. From chapter 8, exercise 14, and from Chapter 9, exerci
Math 218 Mathematical Statistics
Second Test Answers March 2006
Assume that the percentage varies across families according to a normal distribution with unknown mean and known Problem 1. [20; 10 points each part] Recall that the margin = 5%. of error E o
Math 218 Mathematical Statistics
Prof. D. Joyce, Clark University 13 Mar 2009
Second Test. Wednesday, 25 Mar 2009. Due Today. From chapter 7, p. 265, exercises 17, 18, 19. Due Monday. From chapter 8, p. 290, exercises 1, 2, 3, 9. Last time. Matched pairs
Then take their derivatives
2f
= y 2 cos xy
x2
Section 2.4 selected answers
2f
2f
=
= sin xy xy cos xy
yx
xy
Math 131 Multivariate Calculus
D Joyce, Spring 2014
2f
= x2 cos xy
y 2
Exercises 1, 2, 911, 20, 28, 29a.
2. Verify the sum rule for derivative
14. F (x, y, z) = eax cos by + eaz sin bx.
F
x
F
y
F
z
Section 2.3 selected answers
Math 131 Multivariate Calculus
D Joyce, Spring 2014
Exercises 17, 1214, 1921, 29, 30, 3436.
For the rst few exercises, compute the partial
derivatives.
= aeax cos by + bea
therefore
Df Dx
1 1
2s 2t
Section 2.5 selected answers
=
y cos xy x cos xy
Math 131 Multivariate Calculus
D Joyce, Spring 2014
=
y cos xy + 2sx cos xy y cos xy + 2tx cos xy
Thus,
Exercises 1, 2, 5, 8, 11, 15, 19, 22, 23.
f
= y cos xy + 2sx cos xy
s
2. If
That is the opposite direction, the negation of u.
c. desires her temperature not to change?
That is a direction orthogonal to u, and that
2
3
would be ,
.
13 13
Section 2.6 selected answers
Math 131 Multivariate Calculus
D Joyce, Spring 2014
15. Igor, t
8. Calculate the velocity, speed and acceleration
of the path
x(t) = 5 cos t i + 3 sin t j.
Section 3.1 answers
Math 131 Multivariate Calculus
D Joyce, Spring 2014
Since the position at time t is
x(t) = (x, y) = (5 cos t, 3 sin t),
Exercises from section
20. Calculate the ow line x(t) of the vector eld
F(x, y) = (x, y) if x(0) = (2, 1).
The ow line, also called a ow path, x(t) has to
have its derivatives in the vector eld, that is
Section 3.3 selected answers
Math 131 Multivariate Calculus
D Joyce, Spring
You can use integral tables or techniques of integration to nish this exercise. One way to nd
this integral is by the substitution 2t = tan .
Then 1 + 4t2 = 1 + tan2 = sec , and 2dt =
sec2 d. The integral becomes
Section 3.2 selected answers
Math 131 Mult
Denition 2. We dene the curl of a vector eld
in space, F : R3 R3 , as
=
F
, ,
x y z
i
j k
=
x
curl F =
Gradient, divergence, and curl
Math 131 Multivariate Calculus
D Joyce, Spring 2014
The del operator . First, well start by
stracting the gradient
to a
Since it approaches dierent values from dierent
directions, the limit doesnt exist.
ex ey
10.
lim
.
(x,y)(0,0) x + y + 2
All the functions are continuous and the denominator approaches 2, so the limit can be found by
1
evaluating the function. f (0, 0) =
the identity function on B. The usual notation for
the function inverse to f is f 1 .
If f and g are inverse to each other, that is, if g
is the inverse of f , g = f 1 , then f is the inverse of
g, f = g 1 . Thus, (f 1 )1 = f .
An important property of bi
A basis for a vector space. You know some
bases for vector spaces already even if you havent
know them by that name.
For instance, in R3 the three vectors i = (1, 0, 0)
which points along the xaxis, j = (0, 1, 0) which
points along the yaxis, and k = (0
3. [20] Determine if the set
S = cfw_(1, 1, 2), (1, 2, 1), (1, 1, 4)
First Test Answers
Math 130 Linear Algebra
of three vectors in R3 is independent or dependent.
Show your work for credit.
D Joyce, October 2013
Is there a nontrivial solution to the vect
Math 128, Modern Geometry
D. Joyce, Clark University 24 Oct 2005
Due Today. From Chapter 8: 1, 2, 8. Last time. We nished our study of the hyperbolic plane. We looked at area. We saw that the area of a triangle was equal to the angle defect of the triangl
Math 128, Modern Geometry
D. Joyce, Clark University 16 Sep 2005
Third, the composition T U of two Mbius o Due Today. Exercises from chapter 4: exercises transformations is another one. (See the text for 1, 2, 5. details.) Today. Begin Mbius geometry. o G
Math 128, Modern Geometry
D. Joyce, Clark University 5 Oct 2005
Due Friday. From Chapter 6: 3abc, 6, 7ab, 10. Read Chapter 7. Well start it today and nish it next time. Poincars model for hyperbolic geometry. e Rather than build hyperbolic plane geometry