1. The q-catalan numbers of Macmahon and a related identity of Andrews Open Access Author: Cobern, Sara Catherine Title: The q-catalan numbers of Macmahon and a related identity of Andrews Area of Honors: Mathematics Keywords: q-Catalan numbersMathematicsCombinatorics File: Download Cobern_Final_Thesis.pdf Thesis Supervisors: Ae Ja Yee, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
2. Mathematical Modeling Of Influenza At Penn State: a Study Of Incidence Patterns And Effect Of Vaccination Open Access Author: Inciardi, Allegra Marie Title: Mathematical Modeling Of Influenza At Penn State: a Study Of Incidence Patterns And Effect Of Vaccination Area of Honors: Mathematics Keywords: influenzamathematical modelinfluenza vaccination File: Download Inciardi_Thesis.pdf Thesis Supervisors: Timothy Charles Reluga, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
3. Approximate Ramsey Theory Open Access Author: Zhang, Xingyu Title: Approximate Ramsey Theory Area of Honors: Mathematics Keywords: mathRamsey theorycombinatorics File: Download Zhang_Xingyu_approximateramseytheory.pdf Thesis Supervisors: Jan Severin Reimann, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
4. Application of Computational Linear Algebraic methods to a Reliability Simulation Open Access Author: Henry, Seth Michael Title: Application of Computational Linear Algebraic methods to a Reliability Simulation Area of Honors: Mathematics Keywords: Markov chainreliability theorycomputational methodsGauss-SeidelConjugate GradientSuccessive over-relaxation File: Download NewThesis.pdf Thesis Supervisors: Christopher H Griffin, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
5. Speeds of Biological Invasion Open Access Author: Suhendra, Richard Title: Speeds of Biological Invasion Area of Honors: Mathematics Keywords: kpzinvasionmathematical biologyreaction diffusionstochastic File: Download Speeds_of_Biological_Invasion.pdf Thesis Supervisors: Timothy Charles Reluga, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
6. Oscillatory Behaviors of SIRS-like Renewal Equations Open Access Author: Pratt, Madison Title: Oscillatory Behaviors of SIRS-like Renewal Equations Area of Honors: Mathematics Keywords: mathematical modelinginfectious diseasesSIR modeldelayed differential equations File: Download resub_final_thesis.pdf Thesis Supervisors: Timothy Charles Reluga, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor
7. Solving Differential Equations With Deep Neural Networks (DNNs) Open Access Author: Grafton, Jaysa Title: Solving Differential Equations With Deep Neural Networks (DNNs) Area of Honors: Mathematics Keywords: Differential EquationsDeep Neural NetworksDNNsMachine LearningODEs File: Download Undergraduate_Thesis_Grafton.pdf Thesis Supervisors: Leonid V Berlyand, Thesis SupervisorVictoria V Sadovskaya, Thesis Honors Advisor