Math 215 Midterm 3 Review 1 Topics, grouped according to similarity
Conditional probability Finding conditional probabilites Product rule Independence of events Bayes' theorem Using tree diagrams Graphical depiction of data Mean, median, mode box plot in
Math 215: Derivatives Review
The following derivatives should be memorized. Here x is the independent
variable, and c is any constant.
d
c
dx
d n
x
dx
d x
e
dx
d x
a
dx
d
ln x
dx
=
0
= nxn1
= ex
=
(ln a)(ax )
=
1
x
The following rules should be memorized:
Math 215 Practice Midterm 3 answers
Problem 1 (5 pts) Jim, Cathy, Alex, and Sue are all thinking of going to a party. Jim has a 20% probability of going; for Cathy, its more like 70%. The probability of Alex going is 90%, and the probability of Sue going
Math 215 Midterm Review
1
Topics, grouped according to similarity
Three dimensional pictures
Contour graphs/level curves
Partial derivatives
Interpreting the meaning of partial derivatives
Calculating partial derivatives
Second order partial derivat
Math 215 Practice Midterm 3
Problem 1 (5 pts) Jim, Cathy, Alex, and Sue are all thinking of going to a
party. Jim has a 20% probability of going; for Cathy, its more like 70%. The
probability of Alex going is 90%, and the probability of Sue going is 60%.
Math 215 Practice Midterm 1 answers
Problem 1 (5 pts) Take all the rst-order partial derivatives of the following
functions:
f (x, y) = x2 exy
f
x
f
y
2xexy + x2 exy y
=
= x3 exy
p(x, y) = xy + ln y
p
x
p
y
= y
= x+
1
y
Problem 2 (5 pts) Take all the rst-
Math 215 Practice Midterm 1
Problem 1 (5 pts) Take all the rst-order partial derivatives of the following
functions:
f (x, y) = x2 exy
p(x, y) = xy + ln y
Problem 2 (5 pts) Take all the rst-order partial derivatives of the following
functions:
h(u, v) = l
Math 215 Practice Midterm 2
Problem 1 (5 pts) Draw a Venn diagram illustrating A (B C ).
Problem 2 (5 pts) Let the universal set U be the set of Pepperdine students,
let A be the set of Pepperdine students who fulll their convo requirement every
semester,
Math 215 Practice Midterm 2 answers
Problem 1 (5 pts) Draw a Venn diagram illustrating A (B C ).
U
A
B
C
Problem 2 (5 pts) Let the universal set U be the set of Pepperdine students,
let A be the set of Pepperdine students who fulll their convo requirement
Math 215 Lecture notes for 10/29/98:
Poisson Distribution
The Poisson distribution is used for circumstances like the following:
The number of airline crashes next year
The number of people arriving at a drive-through window in the next hour
The number
Math 215 Midterm 2 Review
1
Topics, grouped according to similarity
Sets
symbols like , , A , , , , U
meaning of such symbols
Venn diagrams
Rules of operations on sets
De Morgans laws
Counting
Number of elements in a set
Inclusion-Exclusion princ