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Full-Text Articles in Education

The Grizzly Details, November 2017, Staff Assembly Nov 2017

The Grizzly Details, November 2017, Staff Assembly

Staff Assembly Newsletter

No abstract provided.


The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett Oct 2017

The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett

Abstract Algebra

No abstract provided.


The Pell Equation In India, Toke Knudson, Keith Jones Oct 2017

The Pell Equation In India, Toke Knudson, Keith Jones

Number Theory

No abstract provided.


Quantifying Certainty: The P-Value, Dominic Klyve Oct 2017

Quantifying Certainty: The P-Value, Dominic Klyve

Statistics and Probability

No abstract provided.


Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett Oct 2017

Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett

Number Theory

No abstract provided.


The Grizzly Details, August 2017, Staff Assembly Aug 2017

The Grizzly Details, August 2017, Staff Assembly

Staff Assembly Newsletter

No abstract provided.


Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett Jul 2017

Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett

Number Theory

No abstract provided.


The Definite Integrals Of Cauchy And Riemann, Dave Ruch Jul 2017

The Definite Integrals Of Cauchy And Riemann, Dave Ruch

Analysis

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.


Pascal's Triangle And Mathematical Induction, Jerry Lodder Jul 2017

Pascal's Triangle And Mathematical Induction, Jerry Lodder

Number Theory

No abstract provided.


Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett Jul 2017

Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett

Number Theory

No abstract provided.


Primes, Divisibility, And Factoring, Dominic Klyve Jul 2017

Primes, Divisibility, And Factoring, Dominic Klyve

Number Theory

No abstract provided.


Babylonian Numeration, Dominic Klyve Jul 2017

Babylonian Numeration, Dominic Klyve

Number Theory

No abstract provided.


Construction Of The Figurate Numbers, Jerry Lodder Jul 2017

Construction Of The Figurate Numbers, Jerry Lodder

Number Theory

No abstract provided.


The Derivatives Of The Sine And Cosine Functions, Dominic Klyve Jul 2017

The Derivatives Of The Sine And Cosine Functions, Dominic Klyve

Calculus

No abstract provided.


Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg Jul 2017

Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg

Linear Algebra

No abstract provided.


Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett Jul 2017

Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

Analysis

No abstract provided.


The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville Jul 2017

The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville

Topology

No abstract provided.


A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville Jul 2017

A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville

Topology

In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.


Ursinus College Celebration Of Student Achievement (Cosa) Schedule Of Events, 2017, Office Of Academic Affairs Apr 2017

Ursinus College Celebration Of Student Achievement (Cosa) Schedule Of Events, 2017, Office Of Academic Affairs

Celebration of Student Achievement Schedules

This schedule details the performances, panels, talks and poster presentations held on the twelfth annual Ursinus College CoSA day.


A Genetic Context For Understanding The Trigonometric Functions, Danny Otero Mar 2017

A Genetic Context For Understanding The Trigonometric Functions, Danny Otero

Pre-calculus and Trigonometry

In this project, we explore the genesis of the trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. The goal is to provide the typical student in a pre-calculus course some context for understanding these concepts that is generally missing from standard textbook developments. Trigonometry emerged in the ancient Greek world (and, it is suspected, independently in China and India as well) from the geometrical analyses needed to solve basic astronomical problems regarding the relative positions and motions of celestial objects. While the Greeks (Hipparchus, Ptolemy) recognized the usefulness of tabulating chords of central angles in a circle as aids ...


Investigating Difference Equations, Dave Ruch Jan 2017

Investigating Difference Equations, Dave Ruch

Discrete Mathematics

No abstract provided.


Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch Jan 2017

Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch

Analysis

No abstract provided.


The Mean Value Theorem, Dave Ruch Jan 2017

The Mean Value Theorem, Dave Ruch

Analysis

No abstract provided.


2017 Ruby Yearbook, Sam Beck, Tiffini Eckenrod, Dayna Honrychs, Faraha Rathod, Xinyun Zhang, Ayesha Contractor, Katarina Zambanini, Ursinus College Senior Class Jan 2017

2017 Ruby Yearbook, Sam Beck, Tiffini Eckenrod, Dayna Honrychs, Faraha Rathod, Xinyun Zhang, Ayesha Contractor, Katarina Zambanini, Ursinus College Senior Class

The Ruby Yearbooks

A digitized copy of the 2017 Ruby, the Ursinus College yearbook.


Euler's Rediscovery Of E With Instructor Notes, Dave Ruch Jan 2017

Euler's Rediscovery Of E With Instructor Notes, Dave Ruch

Analysis

No abstract provided.


An Introduction To A Rigorous Definition Of Derivative, Dave Ruch Jan 2017

An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

Analysis

No abstract provided.


Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch Jan 2017

Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch

Analysis

No abstract provided.


Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch Jan 2017

Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch

Analysis

No abstract provided.