Introduction to the Gamma Function
Pascal Sebah and Xavier Gourdon
numbers.computation.free.fr/Constants/constants.html
February 4, 2002
Abstract
An elementary introduction to the celebrated gamma function (x)
and its various representations. Some of its
The 76th William Lowell Putnam Mathematical Competition
Saturday, December 5, 2015
A1 Let A and B be points on the same branch of the hyperbola xy = 1. Suppose that P is a point lying between
A and B on this hyperbola, such that the area of the triangle A
Math 50B.
7.4 Integration of Rational Functions by Partial Fractions
Case 0. Degree of Numerator is not less than Degree of Denominator
See Example 1 on p. 496.
Need to re-write integrand, possibly by
1. The following is the built-in humps function that MATLAB uses to demonstrate some of its
numerical capabilities:
1
1
( ) =
+
6
2
( 0.3) + 0.01 ( 0.9)2 + 0.04
The humps function exhibits both flat and steep regions over a relatively short range. Here a
Math 30
Spring 2013
Name: Answer Key
D. Arnold
Optimath Quiz #4A
Instructions. (20 points) Show all your work in the space provided. All answers must be
exact unless otherwise indicated.
(10pts )
1. Given the function f (x) = 2/x2 , nd the average rate of
Math 30 College Algebra
January 24, 2013
Quiz #1
Name: Answer Key
David Arnold
Instructions. (20 points) This quiz is open notes, open book. This includes any supplementary texts or
online documents. You must answer all of the exercises on your own. You a
Math 30 College Algebra
February 13, 2013
Name: Answer Key
David Arnold
Midterm #1A
Instructions. (60 points) For each of the following questions, select the best answer and darken the
corresponding circle on your scantron.
(5pts )
1. Which of the followi
Math 30 College Algebra
January 30, 2013
Name: Answer Key
David Arnold
Quiz #2
Instructions. (20 points) This quiz is open notes, open book. This includes any supplementary texts or
online documents. You must answer all of the exercises on your own. You a