#### Awards

Excellence in Teaching Award, Amy Barnsley

Early Career Travel Award, BAO TRUONG

Elementary Education Curriculum Map, BAO TRUONG

Graduate Student Publication & Presentation Grant, BAO TRUONG

#### Book Sections/Chapters

A projection-type algorithm for pseudo-monotone non-Lipschitzian multivalued variational inequalities, Truong Q. Bao and Phan Q. Khanh

#### Conference Papers in Published Proceedings

Theory and application of teaching high school or collegiate level mathematics online, Amy Barnsley, K. Penkava, and M. Smith

On the structure of evidential gluts and gaps, Don Faust

On a nonconvex separation theorem and the approximate extremal principle in Asplund spaces., Bao Q. Truong

Subdifferential necessary conditions for extremal solutions to set-valued optimization problems with equilibrium constraints, Bao Q. Truong

Sufficient conditions for global weak Pareto solutions in multiobjective optimization, Bao Q. Truong and Boris Q. Mordukhovich

Extended Pareto Optimality in Multiobjective Problem, Bao Q. Truong and Boris S. Mordukhovich

Subdifferential necessary conditions for extremal solutions to set-valued optimization problems with equilibrium constraints, Bao Q. Truong and Boris S. Mordukhovich

To dual-space theory of set-valued optimization, Bao Q. Truong and Boris S. Mordukhovich

Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications, Bao Q. Truong and Christiane Tammer

Multistage hierarchical optimization problems with multi-criterion objectives, Bao Q. Truong, Roxin Zhang, and Quinghong Zhang

Second-Order Parameter-Free Duality Models in Semiinfinite Minmax Fractional Programming, G J. Zalmai

Global Parametric Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (alpha,eta,rho)-V-Invex Functions, G J. Zalmai and Qinghong Zhang

Necessary Efficiency Conditions for Semiinfinite Mulitobjective Optimization Problems Involving Hadamard Directionally Differentiable Functions, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part II : First-Order Duality Models, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part III : Second-Order Duality Models, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part I : Necessary and Sufficient Optimality Conditions, G J. Zalmai and Qinghong Zhang

Parametric Duality Models for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (alpha,eta,rho)-V-Invex Functions, G J. Zalmai and Qinghong Zhang

Determining weights for multi-objective optimization in posture prediction, Qinghong Zhang

Self-Dual Embedding for SDP Using ELSD and its Lagrangian Dual, Qinghong Zhang

#### Conference Presentations

Is Software Bloated: A Synthesis of Two Studies, Randy Appleton

Security in Linux: what to do and what to avoid, Randy Appleton

Best Practices for Teaching Collegiate Mathematics Online, Amy Barnsley

Creating Graduate Level Coursework: Theory and Application of Teaching High School or Collegiate Level Mathematics Online, Amy Barnsley

Designing Online Developmental Mathematics for Student Success, Amy Barnsley

A visual application of reasoning and proof for the mathematics classroom, Carol Bell

Information Technology at Home and School: Access and Usage by Native, Carol Bell

Proof and Justification of the Pythagorean Theorem at the Elementary, Middle, and High School Levels, Carol Bell

The Role of Online Communities in Developing Students’ Understanding of Proof, Carol Bell

Using Functions to Create Pictures in Excel, Carol Bell

Visualizing and Representing Number Patterns, Carol Bell

Using Babylonian and Egyptian Mathematics to Teach Fractions, Carol Bell and Caitlin Jones

En(light)ening Volume, David Buhl

Fractal Dimension: A Classroom Activity, David Buhl

Searching for Patterns, David Buhl

Using Snag It Software to Create Instructional.avi for the Classroom, David Buhl

A logic for handling conflicting evidential knowledge, Don Faust

Evidential Frameworks and Belief Systems, Don Faust

Explorationism, Evidence Logic, and the Question of the Non-necessity of All Belief Systems, Don Faust

Hanf's 'isomorphism of theories' and the concept of evidence, Don Faust

Truth in mathematics and the broader society, Don Faust

How does “collaboration” occur at all? Remarks on epistemological issues related to understanding / working with ‘the other’, Don Faust and Judith Puncochar

Virtual Exosuit with Haptic Feedback, Mark Haara, Vivian Stark, Dallas Johnson, Jeff Horn, and Mounia Ziat

A Taxonomy And Some Analyses of Coevolution Algorithms, Jeffrey Horn

Minimum Richness Equilibrium and Sudoku, Jeffrey Horn

Optimal Nesting of Species for Exact Cover: Many Against Many, Jeffrey Horn

Making Connections: Linking Concepts and Context, Peggy House

Classification of a Class of Counting Problems using Holographic Reductions, Michael Kowalczyk

Let Photography Revitalize Your Birding, J.D. Phillips

Developing Probability Concepts through Activities & Supporting Mathematical Communication with Mathematics Teaching in the Middle School, Stephen P Smith

Elementary mathematics methods courses: Dealing with the mismatch between theory and practice., Stephen P Smith

Extended Pareto optimality in multiobjective optimization, BAO TRUONG

Lagrange necessary conditions for Pareto minimizers and applications to mathematical finance, BAO TRUONG

Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications, BAO TRUONG

Necessary conditions for multiobjective optimization with preferences, BAO TRUONG

Necessary conditions for optimal solutions in constrained multiobjective optimization, BAO TRUONG

Necessary conditions for Pareto minimal points in Asplund spaces and applications to mathematical finance, BAO TRUONG

Set-valued optimization in welfare economics, BAO TRUONG

Some Applications of Mordukhovich Coderivative for Set-Valued Mappings to Multiobjective Optimization, BAO TRUONG

Some relationships between set-valued optimization and welfare economics, BAO TRUONG

The Fermat rule for Set-Valued Mappings in Banach Spaces, BAO TRUONG

Linear programming over cones, Qinghong Zhang

Strong duality and embedding methods for semidefinite programming, Qinghong Zhang

The minimal cone for conic linear programming, Qinghong Zhang

Theorems of the alternative for semidefinite system, Qinghong Zhang

Understanding linear semi-infinite programming via linear programming over cones, Qinghong Zhang

#### Grants

Northern Michigan Global Campus Curriculum Development Grant, Amy Barnsley

Understanding Proof and Justification in Geometry, Carol Bell

#### Journal Articles

Some algorithms for solving mixed variational inequalities, Truong Q. Bao and Phan Q. Khanh

Some algorithms for solving mixed variational inequalities, Truong Q. Bao and Phan Q. Khanh

Are several recent generalizations of Ekeland’s variational principle more general than the original principle?, Truong Q. Bao and Phan Q. Khanh

Necessary conditions for multiobjective optimization with equilibrium constraints, Truong Q. Bao, Boris S. Mordukhovich, and P. Gupta

Suboptimality conditions in mathematical programs with equilibrium constraints., Truong Q. Bao, Boris S. Mordukhovich, and Pankaj Gupta

A Novel Method to Factor Cubic Polynomials, Amy Barnsley, M. McCormick, D. Rowe, and M. Smith