Spring 2017, Dr. Genz

Problems with "*" are not required for Math 448 or Cpt S 430 students.

Computer problems are denoted with "C".

Week: Date Day | Section(s): Lecture Topic | Assignments (Sections:Probs) |
---|---|---|

1: Jan 10 Tues | 0.1,5: Introduction, Calc Review, Polynomials | 0.5:4ac,6,8*; 0.1:2ab,4; 0.2:4abc |

1: Jan 12 Thur | 0.2-4: Computer Arithmetic, SD Loss | 0.3:4,8,10,14 ; 0.4:2,4*,C2*,C4 |

2: Jan 17 Tues | 1.1-2: f(x)=0 Bisection, Fixed Point Methods | 1.1:2ac,4ac,6,C2ac,C6*; 1.2:6,8,12,14 |

2: Jan 19 Thur | 1.3: f(x)=0 Fixed Point Methods, Errors | 1.2:22,30*,C2ac,C6*;1.3:4,6*,C2,C4; Hwk1 Sols |

3: Jan 24 Tues | 1.3-4: f(x)=0 Newton's Method | 1.4:2ac,4b,8,10,14*; Hwk2 Sols |

3: Jan 26 Thur | 1.5: f(x)=0 Secant, Hybrid Methods | 1.4:C2ac,C4,C10,C14*; 1.5:2,4,6*,7,C4 |

4: Jan 31 Tues | 2.1-2: Ax=b Gauss Elimination, LU Factorize | 2.1:2a,4a,6,8,C1; 2.2:2a,4a,6,8,C1* |

4: Feb 2 Thur | 2.3: Ax=b Errors and Conditioning | 2.3:2ab,4,6,8,10*,C2,C4*; Hwk3 Sols |

5: Feb 7 Tues | 2.4: Ax=b PA = LU Factorization, Pivoting | 2.4:2ab,4a,8,10* |

5: Feb 9 Thurs | 2.5: Ax=b Iterative Methods | 2.5:2ab,4ab,C2,C6*; Hwk4 Sols. |

6: Feb 14 Tues | 2.6: Ax=b Symmetric Positive-Definite A | 2.6:4ad,8b,14(start at [0 0]'),C3* |

6: Feb 16 Thurs | 2.7: Nonlinear Systems, Exam 1 Review | 2.7:2,4ab,C2(use 2.33),C4,C6*; Hwk5 Sols. |

7: Feb 21 Tues | Exam 1: Chapters 0-2
Review Guide | in class, Sample Exam; Exam Solutions |

7: Feb 23 Thur | 3.1: Lagrange and Newton Interpolation | 3.1:2ab,4,6,8,10,14*,18; Due 3/7 |

8: Feb 28 Tues | 3.2: Interpolation Errors | 3.2:2,4,6*,C3,C4; Hwk6 Sols. |

8: Mar 2 Thur | 3.3: Chebyshev Interpolation | 3.3:2,4,6,7,8*,C2*,C4 |

9: Mar 7 Tues | 3.4: Cubic Spline Interpolation | 3.4:2,4,8a,14,16*,C2,C6,C8* |

9: Mar 9 Thur | 3.5: Parametric Curves | 3.5:2b,4,8,12*; Hwk7 Sols. |

X: Mar 13-17 | Spring Break, No Classes | Famous Numerical Analysts |

10: Mar 21 Tues | 4.1: Least Squares, Normal Equations | 4.1:2,4,8a,10a*,12,C2,C10* |

10: Mar 23 Thur | 5.1: Numerical Differentiation, Extrapolation | 5.1:2,6,8,10*,12,14,C2; Hwk8 Sols. |

11: Mar 28 Tues | 5.2: Newton-Cotes Integration Formulas | 5.2.4b,6b,10,12*,C2cfg,C8a*; |

11: Mar 30 Thur | 5.3-4: Romberg and Adaptive Integration | 5.3:2b,4(use 5.2.15),6*,C2bc; 5.4:2a,C2,C7cfg,C8* |

12: Apr 4 Tues | 5.5: Gaussian Quadrature, Exam 2 Review | 5.5:2bc,4bd,10*, Due 4/18;
Hwk9 Sols. |

12: Apr 6 Thur | Exam 2: Chapters 3-5
Review Guide | in class, Sample Exam; Exam Solutions |

13: Apr 11 Tues | 6.1: ODE Intro, Euler's Method | 6.1:4c,6c,8,12,14*,C2c,C8*; |

13: Apr 13 Thur | 6.2: IVP Solver Analysis, Taylor Methods | 6.2:2c,4c,C6,C8*;Hwk10 Sols. |

14: Apr 18 Tues | 6.3-4: Runge-Kutta Methods, ODE Systems | 6.3:2b,4c,C2b; 6.4:2c,4c,6*,C2,C6*; |

14: Apr 20 Thur | 6.5-6: RK Pairs, Implicit Methods | 6.6:2,4*; Hwk11 Sols. |

15: Apr 25 Tues | 6.5-6: Implicit Methods, Stiff ODEs | Week 14 Work Due 4/27 |

15: Apr 27 Thur | Course Summary; Final Exam Review | Review Guide; Hwk12 Sols. |

16: May 4 Thur
| Comprehensive Final Exam
| 1-3PM, Todd 125 |