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11:29 Analysis and Simulation of a Novel Run-and-Tumble… Analysis and Simulation of a Novel Run-and-Tumble Model with Autochemotaxis, Nicholas Russell	Analysis and Simulation of a Novel Run-and-Tumble Model with Autochemotaxis, Nicholas Russell We model, analyze, and simulate a novel run-and-tumble model with autochemotaxis, biologically inspired by the phytoplankton, Heterosigma akashiwo. Developing a fundamental understanding of… mathematics modeling collective behavior plankton nrussell@udel.edu mathematical sciences chemical function thing distribution aggregation delta light model variation structure gradient switch lot f1 f2 linear aggregations change intensity From Lauren Mosesso 0 likes 6 plays 0 Department Name Mathematical Sciences
11:45 III.5 Laplace solution of IVPs III.5 Laplace solution of IVPs	III.5 Laplace solution of IVPs laplace transform transform capital function times t. transfer s. solution sides impulse term fraction response f. rest delta condition operator thing quarter From Tobin Driscoll 0 likes 137 plays 0
11:21 III.3 Impulse response III.3 Impulse response	III.3 Impulse response delta function solution function impulse problem epsilon delta spike condition capital response times window step x2 t. problems limit solutions x3 steps From Tobin Driscoll 0 likes 118 plays 0
49:16 Closed orbits II and the Poincare-Bendixson… Closed orbits II and the Poincare-Bendixson theorem	Closed orbits II and the Poincare-Bendixson theorem Duluc's criterion for the non-existence of closed orbits and the statement of the Poincare-Bendixson theorem followed by remarks. 11995 region point orbit trajectory delta divergence theorem times vector regions dimensions dot field 3d d. orbits solution points boundary alright From Rakesh Rakesh 0 likes 28 plays 0 Department Name Mathematical Sciences Date Established November 23, 2020
47:19 Integral constraints - the theorem, solution of… Integral constraints - the theorem, solution of hanging cable problem	Integral constraints - the theorem, solution of hanging cable problem 11995 lambda problem length constraint point curve equation cable lagrange function problems energy prime points delta gradient od multiplier theorem thing From Rakesh Rakesh 0 likes 9 plays 0
19:35 The brachistochrone problem - I The brachistochrone problem - I	The brachistochrone problem - I 11995 root problem minus ode theta problems delta things prime sine side y1 slide examples substitution alright f. calculus 2x issues From Rakesh Rakesh 0 likes 4 plays 0
39:48 Minimal surface of revolution problem Minimal surface of revolution problem	Minimal surface of revolution problem 11995 theta problem square alright delta curve thing sine things cosh surface cosine od root prime equation minimizer notes function cos From Rakesh Rakesh 0 likes 40 plays 0
36:45 Integrating Differential Forms - II Integrating Differential Forms - II	Integrating Differential Forms - II 11995 form surface omega curve delta theorem alright vector forms variables thing point sphere object equation integrals dx cross reason differential From Rakesh Rakesh 0 likes 5 plays 0
29:12 Grad, curl and divergence - I Grad, curl and divergence - I	Grad, curl and divergence - I 11995 vector gradient theorem divergence direction point curl field change coordinate rate f. function meaning delta stokes respect del forms things From Rakesh Rakesh 0 likes 2 plays 0
01:13:47 Change of variables - examples Change of variables - examples	Change of variables - examples 11995 point curve region equation delta theta surface alright variables points plane coordinates thing circle sine cosine angle formula donut axis From Rakesh Rakesh 0 likes 4 plays 0
01:08:52 Change of variables - the theorem Change of variables - the theorem	Change of variables - the theorem 11995 point variables points region change boundary theta disk equals alright integration d. closure thing delta correction origin ball things factor From Rakesh Rakesh 0 likes 2 plays 0
46:26 The chain rule The chain rule	The chain rule 11995 rule chain delta maps composition functions prime matrix derivative alright times numbers size log vectors differentiation v1 thing x. function From Rakesh Rakesh 0 likes 4 plays 0
01:20:23 Regularity up to the boundary I Regularity up to the boundary I	Regularity up to the boundary I 11995 times transpose phi solution variables change things functions operator delta tilde proof norm psi matrix derivatives determinant thing l2 boundary From Rakesh Rakesh 0 likes 2 plays 0
26:48 Math 305 2020/04/07 Math 305 2020/04/07	Math 305 2020/04/07 differential equation function things question problems capital functions solution thing transform laplace problem rooms side transfer questions delta minus quiz notes reason From Tobin Driscoll 0 likes 3 plays 0
50:05 Importance of Compact Imbeddings Importance of Compact Imbeddings	Importance of Compact Imbeddings 11995 sequence bar compact space convergent subset subsequence compactness delta norm sets compacts subsets problem thing continuity characterization question spaces solution From Rakesh Rakesh 0 likes 7 plays 0
38:24 Math 305 2020/04/02 Math 305 2020/04/02	Math 305 2020/04/02 Portion of the zoom meeting before breakout rooms started. differential equation solution step problems problem impulse exam questions delta thing capital lot guys input rooms growth limit function jump things steps From Tobin Driscoll 0 likes 9 plays 0