Mathematics Commons^™

2. Geometric Series, Ruth Dover

Series

Quick review of geometric series.

Series 01, Ruth Dover

Series

Asks students to create a polynomial function for y = ln(1 + x), extends the polynomial to a series, examines the interval of convergence and error.

Series 04, Ruth Dover

Series

A closer examination of y = cosx and y = sinx, including error estimation.

2. Population, Ruth Dover

Differential Equations

Introduction to logistic population growth.

More Limits, Ruth Dover

Limits

No abstract provided.

Limits1, Ruth Dover

Limits

A basic idea to limits and notation.

2. Intro To Concavity, Ruth Dover

More on Derivatives

Looking at changes in ƒ’ to understand concavity.

3. Upper Bounds, Ruth Dover

Series

Understanding upper bounds and a proof of the divergence of the harmonic series.

Approximating Alternating Series, Ruth Dover

Series

Error bounds with alternating series.

3: Drugs And De's, Ruth Dover

Differential Equations

Making a connection between discrete recursion and differential equations.

Rate Of Change 3, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

1. Measuring Speed, Ruth Dover

More on Derivatives

Tables of values to measure rates.

Series 05, Ruth Dover

Series

Popular Maclaurin series and using substitution to create new series.

1. Coffee, Ruth Dover

Differential Equations

Newton’s Law of Cooling.

Series 06, Ruth Dover

Series

More manipulation of series – substitution, differentiation, and integration.

Series 02, Ruth Dover

Series

Repeats Series01 with the function y = arctanx.

Alternating Series 1, Ruth Dover

Series

Partial sums of alternating series.

Taylor Review, Ruth Dover

Series

Assorted problems.

Approximations 2, Ruth Dover

Integrals

Drawing rectangles and calculating Riemann sums.

Series 09, Ruth Dover

Series

Practice using series to evaluate limits and definite integrals.

Limits3, Ruth Dover

Limits

Algebraic techniques for functions with holes.

Rate Of Change 1, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

4. Integral Test For Series, Ruth Dover

Series

Relating Riemann sums and series – requiring a lot of teacher help!

Approximations 1, Ruth Dover

Integrals

Measuring distance and accumulation.

Subgroups Of Finite Wreath Product Groups For P=3, Jessica L. Gonda

Williams Honors College, Honors Research Projects

Let M be the additive abelian group of 3-by-3 matrices whose entries are from the ring of integers modulo 9. The problem of determining all the normal subgroups of the regular wreath product group P=Z₉≀(Z₃ × Z₃) that are contained in its base subgroup is equivalent to the problem of determining the subgroups of M that are invariant under two particular endomorphisms of M. In this thesis we give a partial solution to the latter problem by implementing a systematic approach using concepts from group theory and linear algebra.

To The Memory Of R. Freivalds, Efim Kinber

School of Computer Science & Engineering Faculty Publications

The paper contains author’s memories of his mentor and teacher R. M. Freivalds.

New Facets Of The Balanced Minimal Evolution Polytope, Logan Keefe

Williams Honors College, Honors Research Projects

The balanced minimal evolution (BME) polytope arises from the study of phylogenetic trees in biology. It is a geometric structure which has a variant for each natural number n. The main application of this polytope is that we can use linear programming with it in order to determine the most likely phylogenetic tree for a given genetic data set. In this paper, we explore the geometric and combinatorial structure of the BME polytope. Background information will be covered, highlighting some points from previous research, and a new result on the structure of the BME polytope will be given.

Mathematical Writing Assignment For Deeper Understanding And Process Writing, Colton Magnant, Saeed Nasseh, Teresa Flateby

Mathematical Sciences: Faculty Publications

Brief Description: The broad goals of this writing assignment are two-fold: 1) To delve deeper into the inner workings of a chosen proof and explore fundamental motivation of the chosen result. 2) To enhance student learning in the area of academic writing in the discipline of mathematics.

By walking the students through a process of academic writing, we address the following DQP proficiencies: Specialized Knowledge, Applied and Collaborative Learning and Intellectual Skills - Use of Information Resources, Mathematics-Specific Intellectual and Practical Skills and Communicative Fluency.

Background and context: This assignment has been used in a Mathematical Structures (introduction-to-proofs) course and …

Understanding The Transition From Secondary Education Mathematics To Undergraduate Mathematics, Amanda D. Stenzelbarton

Dissertations, Master's Theses and Master's Reports

Michigan Technological University had a collective 28% drop, fail, or withdraw rate in four predominantly first-year mathematics classes for the fall semesters from 2011 to 2015, with 58% of students dropping, failing, or withdrawing from College Algebra I in the fall of 2013. A survey was distributed via email to the 2015-2016 first year class of Michigan Tech in an attempt to determine why students struggle in making the transition from high school to undergraduate mathematics class, and what instructors can do to make this transition easier for students. It was found that the time between a student’s last high …

Teachers' Perceptions Of Manipulatives During Middle School Math Instruction, Angela L. Vizzi

Walden Dissertations and Doctoral Studies

In a Colorado school district, school personnel and parents were concerned that middle school math proficiency levels were low for 2011-2014 and math teachers were not using manipulatives in their classes to increase math performance. The district's math coordinator did not foresee providing specific professional development (PD) for math manipulative use to address these concerns. Without this PD, math teachers may be ill-quipped to teach math concepts when using manipulatives, which, in turn, could lead to further poor math performance. The purpose of this qualitative bounded collective case study was to explore middle school teachers' perceptions of PD and perceived …