Normal stresses exerted by motion of a cilium depicted at various beat phases. The cilium exerts a net force propeling ambient fluid along positive x-direction due to asymmetry in cilium axoneme stiffness. Quantifying the flows generated by the pulsations of jellyfish bells is crucial for understanding the mechanics and efficiency of their swimming and feeding.
- Communications in Mathematical Physics;
- THE PATHS WE TAKE.
- Structural stability concepts in medieval and renaissance mechanics.
The pulsing kinematics and fluid flow around the benthic jellyfish Cassiopea spp. Human learning requires flexibility to adapt existing brain function and precision in selecting new neurophysiological activities to drive desired behavior. These two attributes—flexibility and selection—must operate over multiple temporal scales as performance of a skill changes from being slow and challenging to being fast and automatic.
Spectral deferred corrections are used as preconditioners to a Picard integral collocation formulation to solve initial value problems. The resulting Krylov deferred correction KDC methods are of arbitrary order of accuracy and very stable. A montage of snapshots taken 10s apart of a solid sphere settling in a stratified highly viscous fluid corn syrup.
Newton's laws of motion
Non-spherical aerosols tumble and interact with lung airflow. Aerosol shape can be tuned to ensure preferential paths along one branch or the other of the bifurcation, behavior of interest in pharmaceutical delivery. Insects that are 1 mm in length or less often clap their wings together at the end of each upstroke and fling them apart at the beginning of each downstroke. We use the immersed boundary method to simulate clap and fling in rigid and flexible wings.
A generalized framework of network quality functions that allows study of the community structure of arbitrary multislice networks, which are combinations of individual networks coupled through links that connect each node in one network slice to itself in other slices. This framework allows studies of community structure in a general setting encompassing networks that evolve over time, have multiple types of links multiplexity , and have multiple scales. We use network graph and community detection methods on physical realizations of sheared nano-rod dispersions.
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These realizations are drawn from the PDF database of Ruhai Zhou from a Smoluchowski equation solver of liquid crystal polymer kinetic theory. Flow of mucus through lung airways is an important mechanism of lung functions. Mucus is propelled by airway wall cilia as well as air flow. The escape and trapping of buoyant miscible plumes rising through strongly stratified fluids is shown here experimentally.
This critical phenomenon is determined by the distance between plume release height and depth of ambient density transition. Dense core vortex rings moving downward through a stratified ambient fluid exhibit several critical phenomena. New kinetic theory and algorithms of Forest, Wang and Zhou predict fluctuating, self-organized, spatial morphologies of self-propelled nano-rod e. Detailed insights into surface defects in liquid crystalline polymer LCP droplets suspended in a viscous fluid are revealed. New kinetic models, algorithms and defect detection diagnostics resolve the defect cores inside half-integer topological defects called boojums.
Image of a surface wave propagating through the thirty-six meter long wave tank in the Joint Fluids Lab. This image was taken as part of a project conducted by communications professor, Francesca Talenti, and her students in a course on film and photography. The Carolina Center for Interdisciplinary Applied Mathematics integrates research and educational activities in mathematics and its intimate ties with the physical, engineering, biological, medical, and social sciences.
The Center focus is to bring the power of mathematics to bear on the most intriguing, challenging, and relevant problems of our time, in collaborations with colleagues at UNC and elsewhere. These activities and advances in mathematics and scientific computation are continuously folded into our undergraduate and graduate curriculum, and provide broad research opportunities and collaborations with CCIAM faculty, post-doctoral scholars, and students. The Applied Mathematics Program was started in as a result of a UNC initiative to provide expertise in mathematical modeling and computational science for the campus, and to integrate this expertise into research collaborations and undergraduate and graduate training.
The guiding concept of the program is to combine excellence in mathematics and computation with a fundamental interest and commitment to interdisciplinary science. If you already have a turnitin.
If you haven't used turnitin. Within your Turnitin class you will find the set of prelab and experiment assignments that you will have to complete. For each assignment, the submission deadlines will be shown. For the experiments, the start date is the date when you attend the lab.
Make-up labs: you will have the opportunity to perform one missed experiment during the make-up week of December 2—6, Enter your name, date and Experiment in the schedule that will be provided. The submission deadlines are as usual but you will need to see Mr. Boseglav in MCB to have your Turnitin due dates changed in order for you to be able to submit the overdue prelab assignment and lab report.
Under the "Get data" menu selection, select "demo" and click "go"; the demo mode allows you to try the tools without being in the lab. If you have any questions about turnitin. If you have any questions about the teaching assistants or the lab demonstrators, please see the senior lab demonstrator Dr. Office hours for Fall S. The best way to contact me is by email. Falling behind in a mathematics or science course leads to extreme difficulties, because university mathematics and science courses are extremely fast-paced compared to high-school courses, and because typically each week's new course content depends on course content from previous weeks.
Don't allow yourself to fall behind! Consistent, daily work will help you to succeed in the course. I encourage you to visit my office whenever you would like to discuss physics. Don't wait until the last moment; make sure you clear up anything that is unclear as soon as possible, as this will make your studies more effective and you will go further in less time. If you can't come by during my office hours, send me an email message at sdagostino brocku. My telephone number, for emergencies only , is extension The best way to reach me is either in person or by email.
As time permits, some topics not listed below may be added, while some other topics may not be discussed during lectures. The outline below is only an approximation. Tests are written from 10 am— am on Thursdays, according to the schedule above. Make sure that there is at least one empty seat between you and other students sitting in your row.
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On Thursday 12 September, there is no test, and everyone will meet in Room TH for a lecture at 10 am, followed by a second lecture at 11 am. In calculating your overall test score, each test carries equal weight. If you miss a test, and you have a very good reason documentation is required and must be presented in person , you will be excused from the missed test with no academic penalty i.
The weight of excused tests will be distributed proportionally to the other tests. If you miss the final exam for a very good reason documentation is required and must be presented in person , then you will need to write a make-up exam to get a credit in the course, unless your situation is truly extreme. Final exam periods tend to be extremely busy, so there is no guarantee that it will be possible to write a make-up exam soon after the scheduled final exam; therefore, do your very best to stay strong and healthy so that this will not be a concern for you.
In this case, your reported final grade will be either your calculated final grade or 45, whichever is less. In this case, should you desire a credit in the course, you would have to repeat the course. The last date for withdrawal from this course without academic penalty is Monday 4 November, Here is a summary of our expectations of you, which are your responsibilities. You are expected to:. To get the most out of the course, work on it a little bit every day. Daily work is key for placing your learning in long-term memory, where it will be readily available to help you to advance your knowledge in second year and beyond.
And, of course, having the course content in long-term memory will help you ace the final exam! Prepare for each lecture by reading the textbook, trying some homework problems, and writing down specific questions about points that you find difficult. If you do this, you will be very pleased with the results. The same kind of advice applies to the laboratories as well. If you attend lab superbly well-prepared, then you will be extremely efficient, you will collect your data successfully, and you will even be able to complete some of your lab report in the lab.
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You will be especially efficient because you will be able to ask your lab demonstrators good questions while you are in the lab , and this will help you to complete your lab report efficiently. Remember, it is impossible for your course instructor to effectively cover an entire chapter of the textbook in less than three hours of lectures per week. It is your responsibility to learn the course material. The lectures are there to guide you and assist you in learning the material, but remember whose responsibility it is to actually do the hard work of learning the course material.
Showing up to lectures is important, but is not nearly enough to succeed in the course; you must do additional work on your own, and ideally also with your study partner or study group, to really learn the course material well. There is a kind of art to living life, and if we thought of our lives as works of art, imagine how this would change the way we live. All of us are inundated with distractions every day, crafted by experts in addiction to steal the most valuable of our resources: Our time and attention.
We all have to figure out how to cope with this insidious problem, but it's particularly dangerous for you young people, because you are in the primes of your lives, with the potential for rapid development. Your brains could indeed develop rapidly and beautifully if you stimulate them effectively, but this is difficult to do because of the intense pressure we all feel from addictive electronic gizmos.
I highly recommend that you put into place some system that helps you to avoid your addictive electronic devices for long periods of time during the day so that you can focus your attention on what truly matters, which is to develop yourself to the highest degree. To help you in this quest, laptops or portable alert devices like smartphones or smartwatches are not allowed during lectures. Turn them off, and put them well away from your consciousness.
Research shows that even if your phone is turned off but it is within your view, it poses a significant distratction. Physics is hard enough to learn as it is; there is no reason to try to learn it while you are cognitively impaired. This may be appear to be inconvenient, but there are important reasons for this.
Multitasking is known to reduce the quality of performance in all tasks, and not just for you but also for people around you.
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