Three Environmental Fluid Dynamics Papers, 2018 Utah State University

#### Three Environmental Fluid Dynamics Papers, Eden Furtak-Cole

*All Graduate Theses and Dissertations*

Three papers are presented, applying computational fluid dynamics methods to fluid flows in the geosciences. In the first paper, a numerical method is developed for single phase potential flow in the subsurface. For a class of monotonically advancing flows, the method provides a computational savings as compared to classical methods and can be applied to problems such as forced groundwater recharge. The second paper investigates the shear stress reducing action of an erosion control roughness array. Incompressible Naiver-Stokes simulations are performed for multiple wind angles to understand the changing aerodynamics of individual and grouped roughness elements. In the third paper ...

Analytic Geometry And Calculus I, Ii, & Iii (Dalton), 2018 Dalton State College

#### Analytic Geometry And Calculus I, Ii, & Iii (Dalton), Thomas Gonzalez, Michael Hilgemann, Jason Schmurr

*Mathematics Grants Collections*

This Grants Collection for Analytic Geometry and Calculus I, II, & III was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

- Linked Syllabus
- Initial Proposal
- Final Report

Calculus Ii (Fvsu), 2018 Fort Valley State University

#### Calculus Ii (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

*Mathematics Grants Collections*

This Grants Collection for Calculus II was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

- Linked Syllabus
- Initial Proposal
- Final Report

Calculus I (Fvsu), 2018 Fort Valley State University

#### Calculus I (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

*Mathematics Grants Collections*

This Grants Collection for Calculus I was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

- Linked Syllabus
- Initial Proposal
- Final Report

Differential Equations (Fvsu), 2018 Fort Valley State University

#### Differential Equations (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

*Mathematics Grants Collections*

This Grants Collection for Differential Equations was created under a Round Six ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Calculus I (Ga Southern), 2018 Georgia Southern University

#### Calculus I (Ga Southern), Scott Kersey, Stephen Carden

*Mathematics Grants Collections*

This Grants Collection for Calculus I was created under a Round Eight ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Calculus Iii (Ung), 2018 University of North Georgia

#### Calculus Iii (Ung), Hashim Saber, Beata Hebda, Piotr Hebda, Benkam Bobga

*Mathematics Grants Collections*

This Grants Collection for Calculus III was created under a Round Seven ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Calculus I (Ung), 2018 University of North Georgia

#### Calculus I (Ung), Hashim Saber, Beata Hebda, Piotr Hebda, Benkam Bobga

*Mathematics Grants Collections*

This Grants Collection for Calculus I was created under a Round Seven ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Linear Algebra (Ung), 2018 University of North Georgia

#### Linear Algebra (Ung), Hashim Saber, Beata Hebda, Piotr Hebda, Benkam Bobga

*Mathematics Grants Collections*

This Grants Collection for Linear Algebra was created under a Round Seven ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Differential Equations (Ung), 2018 University of North Georgia

#### Differential Equations (Ung), Hashim Saber, Beata Hebda, Piotr Hebda, Benkam Bobga

*Mathematics Grants Collections*

This Grants Collection for Differential Equations was created under a Round Seven ALG Textbook Transformation Grant.

- Linked Syllabus
- Initial Proposal
- Final Report

Mathematics In Contemporary Society - Chapter 1 (Spring 2018), 2018 Queensborough Community College

#### Mathematics In Contemporary Society - Chapter 1 (Spring 2018), Patrick J. Wallach

*Open Educational Resources*

*Mathematics in Contemporary Society* is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

Mathematics In Contemporary Society - Chapter 2 (Spring 2018), 2018 Queensborough Community College

#### Mathematics In Contemporary Society - Chapter 2 (Spring 2018), Patrick J. Wallach

*Open Educational Resources*

*Mathematics in Contemporary Society* is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

Dalton State College Apex Calculus, 2018 Dalton State College

#### Dalton State College Apex Calculus, Thomas Gonzalez, Michael Hilgemann, Jason Schmurr

*Mathematics Open Textbooks*

This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant.

Topics covered in this text include:

- Limits
- Derivatives
- Integration
- Antidifferentiation
- Sequences
- Vectors

Files can also be downloaded on the Dalton State College GitHub:

https://github.com/DaltonStateCollege/calculus-text/blob/master/Calculus.pdf

Webwork Problems For Openstax Calculus Volume I, 2018 Georgia Southern University

#### Webwork Problems For Openstax Calculus Volume I, Scott Kersey, Stephen Carden

*Mathematics Ancillary Materials*

These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Calculus Volume I. They were created through a Round Eight Textbook Transformation Grant.

Webwork Problems For Openstax Introductory Statistics, 2018 Georgia Southern University

#### Webwork Problems For Openstax Introductory Statistics, Scott Kersey, Stephen Carden

*Mathematics Ancillary Materials*

These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Introductory Statistics. They were created through a Round Eight Textbook Transformation Grant.

Mathematics In Contemporary Society - Chapter 3 (Spring 2018), 2018 Queensborough Community College

#### Mathematics In Contemporary Society - Chapter 3 (Spring 2018), Patrick J. Wallach

*Open Educational Resources*

*Mathematics in Contemporary Society* is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

Mathematics In Contemporary Society - Chapter 4 (Spring 2018), 2018 Queensborough Community College

#### Mathematics In Contemporary Society - Chapter 4 (Spring 2018), Patrick J. Wallach

*Open Educational Resources*

*Mathematics in Contemporary Society* is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.

Inventing Around Edison’S Lamp Patent: The Role Of Patents In Stimulating Downstream Development And Competition, 2018 Bi-Level Technologies

#### Inventing Around Edison’S Lamp Patent: The Role Of Patents In Stimulating Downstream Development And Competition, Ron D. Katznelson, John Howells

*Ron D. Katznelson*

*weakened*through the period of this patent ...

The Convex Body Isoperimetric Conjecture In The Plane, 2018 Williams College

#### The Convex Body Isoperimetric Conjecture In The Plane, John Berry, Eliot Bongiovanni, Wyatt Boyer, Bryan Brown, Paul Gallagher, David Hu, Alyssa Loving, Zane Martin, Maggie Miller, Byron Perpetua, Sarah Tammen

*Rose-Hulman Undergraduate Mathematics Journal*

The Convex Body Isoperimetric Conjecture states that the least perimeter needed to enclose a volume within a ball is greater than the least perimeter needed to enclose the same volume within any other convex body of the same volume in *R ^{n}*. We focus on the conjecture in the plane and prove a new sharp lower bound for the isoperimetric profile of the disk in this case. We prove the conjecture in the case of regular polygons, and show that in a general planar convex body the conjecture holds for small areas.

Decoupling The Stationary Navier-Stokes-Darcy System With The Beavers-Joseph-Saffman Interface Condition, 2018 Missouri University of Science and Technology

#### Decoupling The Stationary Navier-Stokes-Darcy System With The Beavers-Joseph-Saffman Interface Condition, Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

*Xiaoming He*

This paper proposes a domain decomposition method for the coupled stationary Navier-Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve the efficiency of the finite element method. The physical interface conditions are directly utilized to construct the boundary conditions on the interface and then decouple the Navier-Stokes and Darcy equations. Newton iteration will be used to deal with the nonlinear systems. Numerical results are presented to illustrate the features of the proposed method.