Category : Formal Sciences

Green’s Theorem and Vector Fields

Introduction For this lab I observed the properties of Vector fields and functions.  For the first problem I examined gradients, divergence and curl operators to further understand Green’s Theorem. This helped identify the links between divergence and flux, as well as curl and flow.  For the second portion of the lab I examined the properties of the first and second moment on a charged surface.   Problem I For the first portion of the this lab I used the given […]

Mathematica – Calculus Lab

Introduction                   In this lab we will use Mathematica to perform many mathematical operations. We will further expand our knowledge of vectors by using the Mathematica program. This program will allow us to demonstrate the properties of dot products versus cross products. The purpose of the lab allows for us to become familiar with the numerous commands of Mathematica. These commands include NSolve[], Integrate[], Simplify[], and many more. We will also be able to use and apply Mathematica’s graphing capabilities. […]

Partial Derivatives, Diffusion, and Waves

Introduction An educational company contracted us out to build a website to analyze wave propagation and heat transfer.  The company provided us with two equations, the heat equation and the wave equation, both of which were partial differential equations.  Along with these equations we were provided with a set of corresponding solutions as well as a set of constraints to prove these solutions are true.  The constraints consisted of initial and boundary conditions.  We asked to solve these partial differential […]

Penny Pinching: Statistical Treatment of Data

By: Julie Wilhelmsen Objective: The objective of experiment one is to see if the year a penny is produced in mint, relates to the weight of the penny. Each lab group had a set of 20 pennies, in which we collected the weight and the year of each penny. The information obtained from each lab group will help us create some statistical data. By using different calculations, I will be able to determine if there is a relation between a […]