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    University of Texas at Austin (University of Texas, UT)
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    Staff, Maxwell, Davis, Extension, Irwin, Blass, Wang, Rodin, Unknown, Vick, TimPerutz, Pedro morales, Sofer, ARLEDGE, SCHURLE, James Pascaleff, SEIRF, Dr. Austin Mann, CUDINA, Walch, klaff, Lidman, Hadani, KUIREN, Chu, CEPPARO,GUSTAVO, CUDINA,MILICA, BJORLAND, Jin, ROBERTGOMPF, ARBOGAST, TSAI, Alan Reid, OscarGonzales, Cepparo, Bowen, SADUN, LorenzoSadun, TextbookAnswers, Shultz, METH, Gualdani-Gilbert, Ros-Oton, Dr.Gilbert, WilliamKalahurka, Jae Oh Woo, AnnaSpice, Achager, Hager, stinga, cheng yu, Lorenzo Sadun, MIKHAILVISHIK, He, Kirk blazek, Jesse Miller, Campisi, benito chen, SaraSutcliffe, Chen, Lee, Bill wolensenky, schultz, RAdin, Lueke, Olsen, Berg, RUSIN, LUECKE, Anderson, SECKIN, HENRY, KOCH,M, OlenaBormashenko, JaneArledge, DavidRusin, ToddArbogast, odell, ALTHARODIN, hamrick, COHN/LEGATE, YAO, KUSHNER, Bischler, Dr.ArloSchurle, GOGOLEV, Windsor, EricStaron, Harper, Pore, Jamie pool, 312L, Shirley, Jeremiah lucas
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M Documents

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  • 12 pages M348_Chapter5.pdf
    • M348_Chapter5.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • cfw_jam 1- W MW x/m mm W 09% WW . MI): rtwm 3W JE>20 gmw a); Mme : Ma F012, Wyn/Waagq We mam/mg 7&0ng Rxwm, @ EQMa/m? mag WWW QM mad/WW (jg; 09.58 WWW ( u; (Pt): inCPb/bgu)vuwj U; (7:?) 3: $510 If; 16) 41) bf/gm) W:3Wcfw_;t/uwy,W/) @ HWW 05m qup1bu3 cm
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    M348_Chapter5.pdf

  • 10 pages M348_Apr11_13.pdf

    M348_Apr11_13.pdf

  • 13 pages M348_Final_soln.pdf
    • M348_Final_soln.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • M 348: Scientic Computation in Numerical Analysis I, # 54690 Midterm 2, Spring 2017 Instructions: You have 180 minutes to complete the exam. There are ten problems, worth a total of 100 points. A onesided A4 sheet of notes is allowed. For full credit show
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    M348_Final_soln.pdf

  • 11 pages M348_Mar21.pdf
    • M348_Mar21.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • 66 Swwag TW % MW h D/agmgg/ DGWWW MwW 3% W W WWW M W _ .1, a. EQML i7? 2 Q'Qmj! f0 3991 $34JQ)W. 3%; Wm @ may? mwwggg dw/VMWQWE mm, A W W MW Wow: W W cm) Gmmaw MWWwy cm cfw_QWAW am Hot: '3 2h) 0&1;th UK amaw WWW Mfvwi W 0;, 04319th mom/143110
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    M348_Mar21.pdf

  • 13 pages M348_Chapter03.pdf
    • M348_Chapter03.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • Win/v: Gum my. om. W m 0% 5C4 - . 7. 33w ii- %> 14 w mote, WE, max/pmmgv wwwm (mo,tgu),-.,Caamw 3 Im am we!) mdq Wowg cfw_944% We? Effcogrg) VEfm/szyy. W022 751% i mhovw X? \g% Qu/m gm Maipgamd W WW cm C656] . Fm moL 8>QMLW Xxvstg anw/ua W170) W143
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    M348_Chapter03.pdf

  • 7 pages M348_March9.pdf

    M348_March9.pdf

  • 5 pages M348_LectureNote_Feb7.pdf
    • M348_LectureNote_Feb7.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • Wig/W W Mug/mug M tr.- .- W w w " -d; , 7 , T%Z Who WM W WMWWM in W % _ 4&0) 44: WW 7-"; MMS $4M?) 9mg m mew we cg Mm cfw_8] m gmefajm am we; 13%;ij : @ moi 25W voids XGCOA) suogrfaf @mmi .Gvm Cm) Q CEQ <W%7%10> u q Ala mm 014/ cfw_0:
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    M348_LectureNote_Feb7.pdf

  • 9 pages M348_PracticeProblems_Soln.pdf

    M348_PracticeProblems_Soln.pdf

  • 10 pages M348_hwk2_soln.pdf

    M348_hwk2_soln.pdf

  • 4 pages M348_Apr4.pdf

    M348_Apr4.pdf

  • 8 pages M348_Mar28_Mar30.pdf

    M348_Mar28_Mar30.pdf

  • 5 pages M348_Mar28.pdf

    M348_Mar28.pdf

  • 15 pages M348_Chapter02.pdf
    • M348_Chapter02.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • Chapter 2 Solutions of Equations in One Variable Giang Tran [email protected] Department of Mathematics The University of Texas at Austin M348 Scientific Computation In Numerical Analysis Spring 2017 Bisection Method to Solve f (x) = 0 - Set Up Assump
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    M348_Chapter02.pdf

  • 5 pages M348_Mar23.pdf

    M348_Mar23.pdf

  • 4 pages M348_hwk3_soln.pdf

    M348_hwk3_soln.pdf

  • 4 pages M348_hwk4_soln.pdf
    • M348_hwk4_soln.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • Movm 5+g HWK4~ Sow-201V BM 4. o O . 0 x4 in: g i O. O *9. oz 4 1 O *5 : gs 65] 53. ' em 34% 37,5 ' ' emV XL 46% X4 2 84 1&4Xd+)t:t 9 021 fixd a w W7 hwdwgg Mamet <&1)Wpca7b' m 31>, 2. (4H,) addim/Waoimy IWW) 7(2) (WWW kqxn (mi; x':,6;, "0 444 ngmm jx/ ,
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    M348_hwk4_soln.pdf

  • 3 pages M348_hw5_soln.pdf

    M348_hw5_soln.pdf

  • 3 pages M348_hwk1_soln.pdf
    • M348_hwk1_soln.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 1 SOLUTION n xk P . Use the Taylor polynomial of degree 9 and k=0 k! three-digit chopping arithmetic to find an approximation to e5 by each of the following methods. (1) The Taylor polynomial of degree n for f (x) = ex is (a) e
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    M348_hwk1_soln.pdf

  • 25 pages M348_Chapter01.pdf
    • M348_Chapter01.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • Chapter 1 Mathematical Preliminaries and Error Analysis Giang Tran [email protected] Department of Mathematics The University of Texas at Austin M348 Scientific Computation In Numerical Analysis Spring 2017 What is Numerical Analysis? I Wikipedia: Num
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    M348_Chapter01.pdf

  • 3 pages M348_final_practice_problems.pdf
    • M348_final_practice_problems.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - PRACTICE PROBLEMS FOR FINAL EXAM - NO GRADING (1) Using bisection method, how many iterations are needed to find an intervalh of length at most 104 i which contains a root of a function f (x) = sin x, starting with the interval , . 2 2
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    M348_final_practice_problems.pdf

  • 2 pages M348_hwk2.pdf
    • M348_hwk2.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 2 - DUE MARCH 2 (1) Let f (x) = cos x, x0 = 0, x1 = 0.6 and x2 = 0.9. (a) Construct the Lagrange interpolation polynomial of degree at most two to approximate f . Use cos(0.6) = 0.8 and cos(0.9) = 0.6. (b) Use the Theorem of th
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    M348_hwk2.pdf

  • 2 pages M348_hwk3.pdf
    • M348_hwk3.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 3 - DUE MAR 21 (1) (Problem 12, Section 3.5) A clamped cubic spline s for a function f is defined on [1, 3] by ( s0 (x) = 3(x 1) + 2(x 1)2 (x 1)3 , if 1 x 2, s(x) = s1 (x) = a + b(x 2) + c(x 2)2 + d(x 2)3 , if 2 x 3 Given f 0 (
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    M348_hwk3.pdf

  • 2 pages M348_hwk7.pdf
    • M348_hwk7.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 7 - DUE THURSDAY APRIL 27 3 (1) Denote x1 , x2 , x3 be the roots of the 3rd Legendre polynomial P3 (x) = x3 x. Find the coefficients 5 ci as in Theorem 4.7 and using Gaussian quadrature: Z 1 f (x)dx c1 f (x1 ) + c2 f (x2 ) + c3
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    M348_hwk7.pdf

  • 1 pages M348_hwk1.pdf
    • M348_hwk1.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 1 - DUE FEB 9 n xk P . Use the Taylor polynomial of degree 9 and k=0 k! three-digit chopping arithmetic to find an approximation to e5 by each of the following methods. 9 (1)k 5k 9 (5)k P P = (a) e5 k! k! k=0 k=0 1 (b) e5 9 P
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    M348_hwk1.pdf

  • 1 pages M348_hwk5.pdf
    • M348_hwk5.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 5 - DUE APRIL 6 (1) Section 4.1: Problem 6c & 8c (2) Section 4.1: Problem 22 (3) Section 4.2: Problem 8 (4) Section 4.2: Problem 10 (5) Approximate the following integrals using the Trapezoidal and Simpsons rules. a. Z/4 x sin
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    M348_hwk5.pdf

  • 1 pages M348_midterm2_practice_problems.pdf
    • M348_midterm2_practice_problems.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - PRACTICE PROBLEMS FOR MIDTERM 2 - NO GRADING (1) Section 3.5 - Cubic Spline Interpolation: Problem 11, 12, 15, 17 (2) Section 4.1 - Numerical Differentiation: Problem 13, 14, 22, 24a, 25 (3) Section 4.2 - Richardsons Extrapolation: Prob
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    M348_midterm2_practice_problems.pdf

  • 1 pages M348_hwk4.pdf
    • M348_hwk4.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 4 - DUE MAR 30 (1) Show that solving Ly = b, where L is a lower-triangular matrix with lii = 1 for all i, requires 1 2 1 1 2 1 n n multiplications/divisions and n n additions/subtractions 2 2 2 2 (2) Determine which of the foll
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    M348_hwk4.pdf

  • 1 pages M348_hwk6.pdf
    • M348_hwk6.pdf
    • University of Texas
    • NUMERICAL ANALYSIS
    • M 348 - Fall 2010
    • MATH 348 # 54690 - HOMEWORK 6 - DUE APRIL 13 Problem 1. Determine constants c1 , c2 , x1 , x2 , so that the integration formula Z 1 f (x) dx c1 f (x1 ) + c2 f (x2 ) 1 gives exact results for all polynomials of degree three or less, i.e., the degree of pre
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    M348_hwk6.pdf

  • 1 pages solution3.pdf
    • solution3.pdf
    • University of Texas
    • Theory of Functions of a Complex Variable
    • M 361 - Spring 2013
    • Solutions to Quiz 3 (M361) 1. (8 points) Use the definition of the derivative to give a direct proof of the fact d 2 (z z) = 2z 1. dz Proof. We have d 2 (z + (z)2 (z + (z) (z 2 z) (z z) = lim (z)0 dz (z) 2 z + 2z(z) + (z)2 z (z) z 2 + z = lim (z)0 (z) 2 2
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    solution3.pdf

  • 3 pages solution_midterm.pdf
    • solution_midterm.pdf
    • University of Texas
    • Theory of Functions of a Complex Variable
    • M 361 - Spring 2013
    • M361 Midterm Solutions 1. Write down the right answer. There is no partial credit in this problem. (a) (5 points) |1 + i| = 2. (b) (5 points) (1 + i)4 (1 i)4 = 16. (c) (5 points) Re( 1i ) = 0. 1+i 3 (d) (5 points) 3 + 3i = 18ei 4 . . (e) (5 points) Log(3
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    solution_midterm.pdf

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