Bc 1 Rate Of Change Activity Sheet Teacher Notes,
2016
Illinois Mathematics and Science Academy
Bc 1 Rate Of Change Activity Sheet Teacher Notes, Ruth Dover
A Simple Introduction to Rates
Before beginning this section of handouts, students will be introduced to a variety of vocabulary words often associated with calculus. These words will be used in an intuitive sense only and will not have been formally defined. Vocabulary should include graphical terms such as continuous, increasing, decreasing, maximum and minimum points, concave up, concave down, and point of inflection. In addition, discussion of the concept of "rate of change" should begin. It should be mentioned that many quantities change – population, cost, and temperature, to name just a few. All that is specifically required at this point can be related …
Rate Of Change 2,
2016
Illinois Mathematics and Science Academy
Limits5,
2016
Illinois Mathematics and Science Academy
Limits2,
2016
Illinois Mathematics and Science Academy
Limits2, Ruth Dover
Limits
More on limits, both algebraic and graphical, including one-sided limits.
3. Derivatives Of Exponential Functions,
2016
Illinois Mathematics and Science Academy
3. Derivatives Of Exponential Functions, Ruth Dover
More on Derivatives
Exploring the derivative of exponential functions.
Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems,
2016
CUNY Guttman Community College
Multiple Problem-Solving Strategies Provide Insight Into Students’ Understanding Of Open-Ended Linear Programming Problems, Marla A. Sole
Publications and Research
Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students’ unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex, familiar solution strategies rather than simpler, more intuitive strategies, which suggests that students might need more experience working with informal solution methods. During the semester, by incorporating open-ended questions, I gained valuable feedback, was able to better model real-world problems, challenge students with different abilities, and strengthen students’ problem solving skills.
Photo Of Euler Semimagic Square With Exercises.,
2016
Butler University
Photo Of Euler Semimagic Square With Exercises., Jeremiah Farrell
Scholarship and Professional Work - LAS
A submission to the Gardner Birthday Celebration on the occasion of his 102nd birthday in October 2016.
A Special Tribute To Martin Gardner,
2016
Butler University
A Special Tribute To Martin Gardner, Jeremiah Farrell
Scholarship and Professional Work - LAS
There are exactly 12 different letters in the phrase GATHERING FOR MARTIN GARDNER. We use each of the 12 letters three times each in 18 different two-letter words that are to be placed on the nodes of the graph so adjoining nodes have a letter in common.
You Like Japan,
2016
Butler University
You Like Japan, Jeremiah Farrell, Kate Jones
Scholarship and Professional Work - LAS
Jeremiah's puzzle "You Like Japan", which was exchanged at the 2016 International Puzzle Party in Kyoto, Japan, alongside Kate Jone's "You Like Japan" 12x12 Challenge. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is manufacured by Kadon Enterprises, Inc. as "You Like Japan".
Limits4,
2016
Illinois Mathematics and Science Academy
Approximations 4,
2016
Illinois Mathematics and Science Academy
The Prominence Of Affect In Creativity: Expanding The Conception Of Creativity In Mathematical Problem Solving,
2016
Hope College
The Prominence Of Affect In Creativity: Expanding The Conception Of Creativity In Mathematical Problem Solving, Eric L. Mann, Scott A. Chamberlin, Amy K. Graefe
Faculty Publications
Constructs such as fluency, flexibility, originality, and elaboration have been accepted as integral components of creativity. In this chapter, the authors discuss affect (Leder GC, Pehkonen E, Törner G (eds), Beliefs: a hidden variable in mathematics education? Kluwer Academic Publishers, Dordrecht, 2002; McLeod DB, J Res Math Educ 25:637–647, 1994; McLeod DB, Adams VM, Affect and mathematical problem solving: a new perspective. Springer, New York, 1989) as it relates to the production of creative outcomes in mathematical problem solving episodes. The saliency of affect in creativity cannot be underestimated, as problem solvers require an appropriate state of mind in order …
The Automorphism Group Of The Halved Cube,
2016
Virginia Commonwealth University
The Automorphism Group Of The Halved Cube, Benjamin B. Mackinnon
Theses and Dissertations
An n-dimensional halved cube is a graph whose vertices are the binary strings of length n, where two vertices are adjacent if and only if they differ in exactly two positions. It can be regarded as the graph whose vertex set is one partite set of the n-dimensional hypercube, with an edge joining vertices at hamming distance two. In this thesis we compute the automorphism groups of the halved cubes by embedding them in R n and realizing the automorphism group as a subgroup of GLn(R). As an application we show that a halved cube is a circulant graph if …
An Inner-Outer Factorization In ℓp With Applications To Arma Processes,
2016
University of Richmond
An Inner-Outer Factorization In ℓp With Applications To Arma Processes, Raymond Cheng, William T. Ross
Department of Math & Statistics Faculty Publications
The following inner-outer type factorization is obtained for the sequence space ℓp: if the complex sequence F = (F0, F1,F2,...) decays geometrically, then for an p sufficiently close to 2 there exists J and G in ℓp such that F = J * G; J is orthogonal in the Birkhoff-James sense to all of its forward shifts SJ, S2J, S3J, ...; J and F generate the same S-invariant subspace of ℓp; and G is a cyclic vector for S on ℓ …
Concrete Examples Of H(B) Spaces,
2016
University of Richmond
Concrete Examples Of H(B) Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper we give an explicit description of de Branges-Rovnyak spaces H(b) when b is of the form qr, where q is a rational outer function in the closed unit ball of H∞ and r is a positive number.
Best Approximations, Lethargy Theorems And Smoothness,
2016
Claremont McKenna College
Best Approximations, Lethargy Theorems And Smoothness, Caleb Case
CMC Senior Theses
In this paper we consider sequences of best approximation. We first examine the rho best approximation function and its applications, through an example in approximation theory and two new examples in calculating n-widths. We then further discuss approximation theory by examining a modern proof of Weierstrass's Theorem using Dirac sequences, and providing a new proof of Chebyshev's Equioscillation Theorem, inspired by the de La Vallee Poussin Theorem. Finally, we examine the limits of approximation theorem by looking at Bernstein Lethargy theorem, and a modern generalization to infinite-dimensional subspaces. We all note that smooth functions are bounded by Jackson's Inequalities, but …
Unequal Edge Inclusion Probabilities In Link-Tracing Network Sampling With Implications For Respondent-Driven Sampling,
2016
Augsburg College
Unequal Edge Inclusion Probabilities In Link-Tracing Network Sampling With Implications For Respondent-Driven Sampling, Miles Q. Ott, Krista J. Gile
Statistical and Data Sciences: Faculty Publications
Respondent-Driven Sampling (RDS) is a widely adopted linktracing sampling design used to draw valid statistical inference from samples of populations for which there is no available sampling frame. RDS estimators rely upon the assumption that each edge (representing a relationship between two individuals) in the underlying network has an equal probability of being sampled. We show that this assumption is violated in even the simplest cases, and that RDS estimators are sensitive to the violation of this assumption.
Monte Carlo Approx. Methods For Stochastic Optimization,
2016
Claremont Colleges
Monte Carlo Approx. Methods For Stochastic Optimization, John Fowler
Pomona Senior Theses
This thesis provides an overview of stochastic optimization (SP) problems and looks at how the Sample Average Approximation (SAA) method is used to solve them. We review several applications of this problem-solving technique that have been published in papers over the last few years. The number and variety of the examples should give an indication of the usefulness of this technique. The examples also provide opportunities to discuss important aspects of SPs and the SAA method including model assumptions, optimality gaps, the use of deterministic methods for finite sample sizes, and the accelerated Benders decomposition algorithm. We also give a …
The Spectral Theorem For Quaternionic Unbounded Normal Operators Based On The S-Spectrum,
2016
Chapman University
The Spectral Theorem For Quaternionic Unbounded Normal Operators Based On The S-Spectrum, Daniel Alpay, Fabrizio Colombo, David P. Kimsey
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we prove the spectral theorem for quaternionic unbounded normal operators using the notion of S-spectrum. The proof technique consists of first establishing a spectral theorem for quaternionic bounded normal operators and then using a transformation which maps a quaternionic unbounded normal operator to a quaternionic bounded normal operator. With this paper we complete the foundation of spectral analysis of quaternionic operators. The S-spectrum has been introduced to define the quaternionic functional calculus but it turns out to be the correct object also for the spectral theorem for quaternionic normal operators. The fact that the correct notion of …
Rate Of Change 4,
2016
Illinois Mathematics and Science Academy
