School of Mathematical Sciences
College of Science
School of Mathematical Sciences
College of Science
BS, University of New Hampshire; MS, Ph.D., University of Delaware
Areas of Expertise
This is the first in a two-course sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
This course will continue to expose students to the logical methodology of mathematical modeling. It will also provide them with numerous examples of mathematical models from various fields.
This capstone experience introduces students to mathematical problems and situations not encountered in previous courses of study. The class will primarily revolve around student-directed,collaborative efforts to solve a given problem using rigorous mathematical analysis and (as appropriate) computational methods. Significant work outside the classroom will be required of students. Students will write a formal report of their solution methods, and produce a poster for presentation at an end-of-term conference-style event.
Maki, Kara L., Richard J. Braun, and Gregory A. Barron. "The influence of a lipid reservoir on the tear film formation." Mathematical Medicine and Biology: A Journal of the IMA 37. (2020): 363-388. Print.
Burkhart, Collin T., Michael J. Schertzer, and Kara L. Maki. "Coplanar electrowetting-induced droplet de- tachment from radially symmetric electrodes." Langmuir 36. (2020): 8129-8136. Print.
Bernetski, Kimberly A, Kara L Maki, and Michael J Schertzer. "Comment on “How to make sticky surfaces slippery: Contact angle hysteresis in electrowetting with alternating voltage”." Appl. Phys. Lett. 114. (2019): 116101. Print.
Li, Longfei, et al. "Tear Film Dynamics with Evaporation, Wetting, and Time-dependent Flux Boundary Condition on an Eye-shaped Domain." Physics of Fluids 26. 5 (2014): 52101. Print.
Maki, Kara L. and David S. Ross. "Exchange of Tears under a Contact Lens Is Driven by Distortions of the Contact Lens." Integrative and Comparative Biology 54. 6 (2014): 1043-1050. Print.
Lee, S. H., et al. "Gravity-driven Instability of a Thin Liquid Film Underneath a Soft Solid." Physical Review E 90. 5 (2014): 53009. Print.
Huang, J., et al. "Phantom Study of Tear Film Dynamics with Optical Coherence Tomography and Maximum-likelihood Estimation." Optics Letters 38. (2013): 1721-1723. Print.
Huang, J., et al. "Maximum-likelihood Estimation in Optical Coherence Tomography in the Context of the Tear." Biomedical Optics Express 4. (2013): 1806-1816. Print.
Maki, Kara L. and Yuriko Renardy. "The Dynamics of a Viscoelastic Liquid which Displays Thixotropic Yield Stress Behavior." Journal of Non-Newtonian Fluid Mechanics 181. (2012): 30-50. Print.
Maki, Kara L. and Satish Kumar. "Fast Evaporation of Spreading Droplets of Colloidal Suspensions." Langmuir 27. (2011): 11347-11363. Print.
Reed, Kenneth, et al. "Modeling the Kinetic Behavior of Reactive Oxygen Species with Cerium Dioxide Nanoparticles." Biomolecules. (2019). Web.
Maki, Kara L. and David S. Ross. "A New Model for the Suction Pressure Under A Contact Lens." Journal of Biological Systems. (2014). Print.
Maki, Kara L, et al. "A model for tear film dynamics during a realistic blink." Journal for Modeling in Ophthalmology. (2019). Web.
Maki, Kara L., Rodolfo Repetto, and Richard J. Braun. "Mathematical modeling highlights from ARVO 2018." Journal for Modeling in Ophthalmology. (2019). Web.
Maki, Kara L. "Mechanics of the Contact Lens." Indo-American Frontiers of Science Symposium. Indo-US Science & Technology Forum and National Academy of Sciences. Agra, India. 7 Apr. 2013. Conference Presentation.
Maki, Kara L. "Fast Evaporation of Spreading Droplets of Colloidal Suspensions." 1st Int. Workshop on Wetting and Evaporation: Droplets of Pure and Complex Fluids. Aix Marseille Universite. Marseilles, France. 18 Jun. 2013. Lecture.
Maki, Kara Lee and David S. Ross. "Settling Dynamics of the Contact Lens." Applied and Computational Math Seminar. George Mason University. Fairfax, VA. 26 Oct. 2012. Lecture.
Maki, Kara Lee and David Ross. "Settling Dynamics of the Contact Lens." Workshop on Thin Liquid Films and Fluid Interfaces: Models, Experiments and Applications. Banff International Research Station. Banff, Alberta, Canada. 13 Dec. 2012. Conference Presentation.
Maki, Kara Lee and Yuriko Rendary. "Dynamics of a Thixotropic Yield Stress Fluid: A Mathematical Perspective of Ketchup?" Applied Mathematics Seminar. University of Delaware. Newark, DE. 27 Jun. 2012. Lecture.
Maki, Kara Lee and David Ross. "Settling Dynamics of a Contact Lens." Minisymposium on Dynamics and Applications of Thin Liquid Flims. Society for Industrial and Applied Mathematics Annual Meeting. Minneapolis, MN. 12 Jul. 2012. Conference Presentation.
Maki, Kara Lee and Satish Kumar. "Fast Evaporation of Spreading Droplets of Colloidal Suspensions." Workshop on Surfactant Driven Thin Film Flows. Fields Institute for Research in Mathematical Sciences. Toronto, Ontario. 22 Feb. 2012. Conference Presentation.
Maki, Kara Lee and Satish Kumar. "Fast Evaporation of Spreading Droplets of Colloidal Suspensions." Special Session on Mathematics in Industry. Joint Mathematic Meeting. Boston, MA. 4 Jan. 2012. Conference Presentation.
Maki, Kara L. "Skin Formation in Drying Droplets of Colloidal Suspensions." NSF Mathematics Institutes' Modern Math Workshop. The Society for Advancement of Chicanos and Native Americans in Science Annual Conference. San Jose Convention Center, San Jose, CA. 26 Oct. 2011. Conference Presentation.