2009spring

2009Spring

MATLAB http://radiomaster.ru/cad/matlab/

AMS 212B: Applied Mathematical Methods II

http://www.soe.ucsc.edu/~hongwang/AMS212B

http://en.wikipedia.org/wiki/Perturbation_theory

http://en.wikipedia.org/wiki/Category:Asymptotic_analysis

http://www.scholarpedia.org/article/Singular_perturbation_theory

http://en.wikipedia.org/wiki/Method_of_matched_asymptotic_expansions

http://www.ams.ucsc.edu/courses/course?ams212b

http://math.fizteh.ru/study/methods/tk.esp Russian Lectures

http://ocw.mit.edu/OcwWeb/Mathematics/18-306Spring2004/LectureNotes/index.htm

E-books: http://avaxhome.ws/ebooks/science_books/math/0471630594.html

: http://eqworld.ipmnet.ru/ru/library/mathematics/ode.htm

http://lib.org.by/_djvu/M_Mathematics/MC_Calculus/MCap_Asymptotics,%20perturbations

http://avaxhome.ws/ebooks/0471523682_element_stochastic_processes.html

AMS 213: Numerical Solutions of Differential Equations

http://www.soe.ucsc.edu/classes/ams213/Spring09

http://www.math.umn.edu/~olver/

http://www.stanford.edu/class/cme306/

http://www.amsta.leeds.ac.uk/~mark/MATH3473/

http://www-math.mit.edu/~persson/18.335

http://math.fullerton.edu/mathews/numerical.html

http://www.ams.sunysb.edu/~jiao/teaching/ams526_fall08

http://www.cs.usask.ca/~spiteri/

http://www.fizyka.umk.pl/nrbook/bookcpdf.html Numerical recipes in C

http://www.nrbook.com/a/bookcpdf.php Numerical recipes in C

http://www-users.cs.umn.edu/~saad/books.html Another book

http://en.wikipedia.org/wiki/List_of_numerical_analysis_topics

http://www.mathworks.com/moler/chapters.html Numerical Methods Book

http://www.uchites.ru/chislennye_metody/posobie Russian book

http://algolist.manual.ru/maths/linalg/index.php Another russian book

http://www.allmath.ru/numemeth.htm russian books

http://matlab.exponenta.ru/spline/index.php Matlab ru

http://alglib.sources.ru/matrixops/general/qr.php QR factorization rus

http://www.alkires.com/ee103.html

http://people.sc.fsu.edu/~burkardt/math2071/lab_10.html#HOUSEHOLDER_MATRICES

An n × n matrix M is said to be positive definite if for all nonzero vectors v, the product v^TMv > 0.

Looking at this product, we see that it is the dot product of v^T and Mv. The dot product of two vectors is v^TMv = ||v||₂ ||Mv||₂ cos(θ), where θ is the angle between v and Mv, and and thus, for the dot product to be positive, it means that the image of v must have an angle θ less than 90^o, i.e., |θ| < π/2.

http://en.wikipedia.org/wiki/Positive-definite_matrix

http://en.wikipedia.org/wiki/Matrix_norm

http://en.wikipedia.org/wiki/Dot_product

http://en.wikipedia.org/wiki/Inner_product_space

http://en.wikipedia.org/wiki/Frobenius_inner_product#Frobenius_inner_product

Gonjugate gradient methods

http://en.wikipedia.org/wiki/Nonlinear_conjugate_gradient_method

http://www.netlib.org/linalg/html_templates/node9.html

Russian:

http://www.basegroup.ru/library/analysis/neural/conjugate

http://www.ctc.msiu.ru/program/t-system/ready_tasks/cg/cg_doc/node4.html

http://www.intuit.ru/department/calculate/paralltp/8/4.html

http://iasa.org.ua/tpr.php?lang=rus&ch=3&sub=4

TA AMS 10 – MATH METHODS FOR ENG I

http://www.soe.ucsc.edu/classes/ams010/Spring09

http://academicearth.org/courses/linear-algebra http://web.mit.edu/18.06/www/

http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/

http://www.free-ed.net/free-ed/Math/LinearAlgebra/LinearAlg01.asp

http://online.redwoods.cc.ca.us/instruct/darnold/linalg/

72281 AMS-10-01 Math Methods I TTh 10:00A-11:45A Kresge Clrm 327 Brummell

77203 AMS-10A-01 Basic Math Methods I TTh 10:00A-11:45A Kresge Clrm 327 Brummell

Sections in Baskin Engr 109

77199 AMS-10-01A M 09:00A-11:00A

77200 AMS-10-01B W 02:00P-04:00P

77201 AMS-10-01C F 12:00P-02:00P

TA Guide (local)