For the second part of Lab 1 in Calculus 172, we were to approximate the integral
0
E^ using Right x ^2 x
Hand Riemann Sums, Midpoint Sums, and Trapezoid Sums.
Previously we had done so using the Left Riemann Sum method and are now testing
. We did this by inputting it into the program Joy of Mathematica and evaluating for the integers 1-10. Our results saw that as p increased, so did Gamma(P). Looking even closely at the data, we noticed that Gamma(P) was equal to Gamma(P-1) * (P-1).
In lab 3, our main focus was to represent percentage of a population in the form of a bar graph. Our pre-lab hypothesis which we were to test was whether increasing the amount of intervals by decreasing interval length would result in a refined chart
In Lab4, our goal was to examine intervals of convergence of power series and the functions they represent. To do this, we took a list of various power series and evaluated them in summation notation. For example, the power series represented by the
For this first lab in Calculus 172, our purpose was to use the computing software Mathematica to help us approximate an integral using Left Riemann Sums. While many integrals can be computed by using antiderivatives, some problems do not have element
Bowdoin College
Math 172: Integral Calculus, Advanced Section Prof. Thomas Pietraho Fall, 2008 Syllabus
Web Page: The class web page can be accessed from: http:/blackboard.bowdoin.edu or by following links from the Bowdoin College's main site. You w
Math 172: Integral Calculus Prof. Thomas Pietraho Fall, 2007 Lab 1: Approximation Errors Part 1
1
Motivation
Many functions do not have an elementary antiderivative, and to evaluate a definite integral of such a function, we will need to resort to
Bowdoin College
Math 263: Introduction to Analysis Prof. Thomas Pietraho Fall, 2008 Cover Sheet
Your Name: Assignment: Please cite the individuals and documents that have helped you in this assignment. The individuals cited should include all classm
Bowdoin College
Math 172: Integral Calculus, Advanced Section Prof. Thomas Pietraho Fall, 2008 Cover Sheet
Your Name: Assignment: Please cite the individuals and documents that have helped you in this assignment. The individuals cited should include