Carnegie Mellon Schedule 24-311  NUMERICAL METHODS  Fall 2003 [ Home ] [ Course Info ] [ Announcement ] [ Schedule ] [ Performance ] [ Reference ]
 Please check this page regularly because the coverage and the schedule are subject to change based on students' needs.   Download handout files, print them, and bring them to class.  See the [Reference] page if you are not familiar with how to view PDF files. <== Download class-calendar.pdf (59KB)             (Last updated on 8/25/2003)
 # Date Topics Reading Assignments Handouts Problem Sets 1 8/26 (class homepage & course information) 1. INTRODUCTION    1.1 Motivation class home page 3-10 (PT 1.1-3) summary-bw.pdf (109KB) summary-coloar.pdf (1,562KB) 2 8/28 1.2 Analytical and Numerical Solutions    1.3 Approximations and Errors  (Mathcad Basic Operations) 11-21 (Ch 1) 50-72 (Ch 3) 73-89 (Ch 4.1) 99-103 (PT 1.4-6) Mathcad references ps1.pdf (213KB) PS1 Out 3 9/2 2. ROOTS OF EQUATIONS    2.1 Introduction    2.2 The Bisection Method (C++ Programming Review) 105-111 (PT 2.1-3) 112-130 (Ch 5) C++ Programming tutorial (10KB) Java Programming tutorial (10KB) codewarrior-cpp.pdf (86KB) cpp-with-codewarror codewarrior-java.pdf (84KB) java-with-codewarrior 4 9/4 No lecture, use this day to learn C++ programming ps2.pdf (144KB) readprn.mcd (11KB) output.csv (1KB) find_root.mcd (23KB) PS1 Due PS2 Out 5 9/9 2.3 The False-Position Method       2.4 The Newton-Raphson Method 133-157 (Ch 6) 203-210 (8.3) 167-175 (Ch 7) 212-215 (PT 2.4) ps1-solution.pdf (96KB) sample-q1.pdf (424KB) sample-q1-solutions.pdf (2,145KB) 6 9/11 2.5 The Secant Method    2.6 Multiple Roots      2.7 Systems of Nonlinear Equations programming-on-unix.pdf (67KB) ps3.pdf (143KB) ps2-solution.pdf (346KB) PS2 Due PS3 Out 7 9/16 QUIZ 1  (12% of Final Grade) Lectures 1 -- 6 Problem Sets 1 &2 8 9/18 3. LINEAR ALGEBRAIC EQUATIONS    3.1 Introduction    3.2 Gauss Elimination 217-230 (PT 3.1-3) 308-312 (12.2) 314-316 (12.4) 231-261 (Ch 9) 264-283 (Ch 10) matrix_review.pdf (22KB) matrix_equation.mcd (10KB) gauss_elim.pdf (74KB) ps4.pdf (158KB) ps3-solution.pdf (166KB) PS3 Due PS4 Out 9 9/23 (Quiz 1 review)    (cont'd) 3.2 Gauss Elimination 285-296 (Ch 11) q1-solution.pdf (2,547KB) gauss_jordan.pdf (155KB) 10 9/25 3.3 LU Decomposition 327-329 (PT 3.4-6) Truss Old bridge Modern bridge ps5.pdf (158KB) ps5_code_cpp.zip (3KB) ps5_code_java.zip (3KB) ps4-solutions.pdf (201KB) PS4 Due PS5 Out 11 9/30 3.4 Gauss-Seidel 12 10/2 4. OPTIMIZATION    4.1 Introduction 331-340 (PT 4.1-3) 412-414 (16.4) ps6.pdf (118KB) ps5-solutions.pdf (201KB) PS5 Due PS6 Out 13 10/7 4.2 1D Unconstrained Optimization 341-353 (Ch 13) sample-prog-problem1.pdf (47KB) sample-q2.pdf (110KB) sample-q2-solution.pdf (693KB) sample-q3.pdf (425KB) sample-q3-solution.pdf (1,355KB) quadratic-and-newton.pdf (95 KB) 14 10/9 4.3 Multi-Dimensional Unconstrained Optimization 355-374 (Ch 14) 420-421 (PT 4.4) quadratic_surface.mcd (14KB) q3-2002.mcd (15KB) ps6-solutions.pdf (512KB) PS6 Due PS7 Out 15 10/14 QUIZ 2  (13% of Final Grade) Lectures 8 -- 14 Problem Sets 3 -- 6 ps7.pdf (163KB) 16 10/16 5. CURVE FITTING    5.1 Introduction    5.2 Least-Square Regression 423-437 (PT 5.1-3) 553-554 (20.4) 438-472 (Ch 17) ps8.pdf (187KB) ps8_cpp_code.zip (6KB) ps8_java_code.zip (3KB) ps7-solution.pdf (358KB) PS7 Due PS8 Out 17 10/21 5.3 Newton Interpolating Polynomials 473-506 (Ch 18) 561-565 (PT 5.4-6) 18 10/23 5.4 Splines q2-solution.pdf (721KB) ps9.pdf (184KB) ps9_code_cpp.zip (6KB) ps9_code_java.zip (5KB) PS8 Due PS9 Out 19 10/28 5.6 Lagrange Interpolation Polynomials Newton and spline curves Curves cubic_spline.mcd ps8-solutions.pdf (234KB) 20 10/30 6. NUMERICAL  INTEGRATION    6.1 Introduction 567-581 (PT 6.1-3) 582-609 (Ch 21) 645-647 (24.2) 650-654 (24.4) ps10.pdf (105KB) PS9 Due PS10 Out 21 11/4 6.3 Numerical Differentiation 629-636 (Ch 23) 661-663 (PT 6.4-6) num_diff_formulas.pdf (97KB) ps9-solution.pdf (343KB) 22 11/6 7. ORDINARY DIFFERENTIAL EQUATIONS (ODE)    7.1 Introduction    7.2 Euler's Methods 665-674 (PT 7.1-3) 793-796 (28.4) 675-718 (Ch 25) ps11.pdf (158KB) PS10 Due PS11 Out 23 11/11 7.3 Runge-Kutta Methods ps10-solution.pdf (314KB) 24 11/13 7.4 Boundary-Value and Eigenvalue Problems ps12.pdf (137KB) ps12_code_cpp.zip (3KB) ps12_code_java.zip (3KB) ps12-help.pdf (95KB) PS11 Due PS12 Out 25 11/18 8. PARTIAL DIFFERENTIAL EQUATIONS (PDE)    8.1 Introduction 745-768 (Ch 27) 800-803 (PT 7.4-6) sample-q3.pdf (137KB) sample-q3-solution.pdf (873KB) ps11-solutions.pdf (381KB) 26 11/20 QUIZ 3  (13% of Final Grade) Lectures 16 -- 21 Problem Sets 7, 8, 9, 10, and 11-1 ps13.pdf (104 KB) PS12 Due PS13 Out 27 11/25 8.2 Elliptic Equations ps12-solutions.pdf (1,014KB) pde-lecture-note.pdf (200KB) complete-pde-lecture-note.pdf (2,486 KB) Thanksgiving !! sample-q4.pdf (172KB) sample-q4-solution.pdf (1,426KB) 28 12/2 8.3 Parabolic Equations COURSE SUMMARY ode-lecture-note.pdf (601KB) ps13-solution.pdf (176KB) PS13 Due 29 12/4 QUIZ 4 (13% of Final Grade) Lectures 22 -- 28 Problem Sets 11-2 -- 13 q4-solution.pdf (545KB) 12/12 ANSYS Tutorial Due 3:00PM  for 2% Bonus Points

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