Chapter 7 - Sets and Probability
Lecture Notes
Math 017 - Finite Math
7.2 Applications of Venn Diagrams
In this section, we will see how we can use Venn diagrams to understand or interpret data
that may be obtained from real life situations. As in the pre
Name:
Homework 1
Instructions:
1. (20 pts) Use Linear Approximation to estimate the following values:
(a) 10 e
(b) (1.1)10
1
2. (30 pts) Evaluate the following integrals:
R 2 2x
(a) 0 1+x
2
(b)
R
x x + 1 dx
2
(c)
R1
(d)
R
1
0
1 x2 dx
(3x2 1)e2x dx
3
(e)
Name:
Due: Wednesday, 1/27
Homework 2
Instructions: Questions 1 and 2 will be graded for correctness. Question 3 will be graded for completion.
All questions will be equally weighted (50 points total).
1. Find the general solution to the following separab
Math 239 Math for the Life Sciences Syllabus Spring 2015
Instructor:
Robert Immordino
E-mail:
[email protected]
Office Hours:
Tuesdays, Korman 247 1:00PM 4:00PM
Course Description: broad survey
Name: I .
' Math 239
Section:
In order to receive full credit, you must Show all the necessary work for each
problem, and only that work. All work must be clear andcrganized.
1. Solve the initial value problem
. dy
- _": I ' 0 : .
d1: (2134-3031, y(
Math 239
Practice Questions for Midterm 1
April 24th 2014
Name :
14.4 Implicit Dierentiations
1. Find dy/dx if 3xy + ln(xy) + ex
2y
= 5.
2
2
2. Find the equation of the tangent line at (1,1) of x 3 + y 3 = 2.
14.5 Related rates
1. An 8 foot long ladder
Math 239
Practice Questions for Midterm 2
May 24th 2014
Name :
7.1 sets and probability
1. Let A = cfw_student plays basketball, B = cfw_student watches NBA, and C = cfw_student
likes math.
Describe each set in words.
(a) A \ B
(b) A [ B 0
(c) (A \ B 0 )
Chapter 7 - Sets and Probability
Lecture Notes
Math 017 - Finite Math
7.3 Introduction to Probability
A great many problems that come up in applications of mathematics involve random phenomena - those for which exact prediction is impossible. The best we
Chapter 8 - Counting Principles; Further Probability Topics
Math 017 - Finite Math
8.3 Probability Applications of Counting Principles
In this section, we will see how we can apply the counting principles from the previous
two sections in solving probabil
Chapter 8 - Counting Principles; Further Probability Topics
Math 017 - Finite Math
8.1 The Multiplication Principle; Permutations
We saw in Chapter 7 that many probability problems boil down to that of counting the
number of elements in the sample spaces
Chapter 7 - Sets and Probability
Lecture Notes
Math 017 - Finite Math
7.1 Sets
Sets
, Definition 1. A set is a well-defined collection of objects.
Remark. In the above definition of sets, by well-defined, we mean that it is always possible
to determine i
Chapter 7 - Sets and Probability
Lecture Notes
Math 017 - Finite Math
7.4 Basic Concepts of Probability
We noticed in the previous section, that we can use set operations to define new events out
of existing ones (union of two events, complement of an eve
Math 239: Exam 2 Information
Exam Information
Exam 2 will be given on Tuesday, November 15 from 5-5:50 pm in your regular classroom.
The exam is closed book and closed notes. You may use a scientific (non-graphing) calculator, as described in the course s
Chapter 7 - Sets and Probability
Lecture Notes
Math 017 - Finite Math
7.6 Bayes Theorem
Suppose P (E | F ) is known for two events E and F . The question is: can we find P (F | E)?
The answer is yes, we can find P (F | E) using the formula developed in th
Chapter 8 - Counting Principles; Further Probability Topics
Math 017 - Finite Math
8.2 Combinations
In section 8.1, we saw that there are 60 ways that a teacher can arrange 3 of 5 different books
on his desk. That is, there are 60 permutations of 5 books