## MATH 4/548, CPT S 4/530 SCHEDULESpring 2017, Dr. Genz

Weekly Assignments are due on following Tuesdays unless noted otherwise.
Problems with "*" are not required for Math 448 or Cpt S 430 students.
Computer problems are denoted with "C".
Week: Date DaySection(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 Thur0.2-4: Computer Arithmetic, SD Loss 0.3:4,8,10,14 ; 0.4:2,4*,C2*,C4
2: Jan 17 Tues1.1-2: f(x)=0 Bisection, Fixed Point Methods 1.1:2ac,4ac,6,C2ac,C6*; 1.2:6,8,12,14
2: Jan 19 Thur1.3: f(x)=0 Fixed Point Methods, Errors 1.2:22,30*,C2ac,C6*;1.3:4,6*,C2,C4; Hwk1 Sols
3: Jan 24 Tues1.3-4: f(x)=0 Newton's Method 1.4:2ac,4b,8,10,14*; Hwk2 Sols
3: Jan 26 Thur1.5: f(x)=0 Secant, Hybrid Methods 1.4:C2ac,C4,C10,C14*; 1.5:2,4,6*,7,C4
4: Jan 31 Tues2.1-2: Ax=b Gauss Elimination, LU Factorize 2.1:2a,4a,6,8,C1; 2.2:2a,4a,6,8,C1*
4: Feb 2 Thur2.3: Ax=b Errors and Conditioning 2.3:2ab,4,6,8,10*,C2,C4*; Hwk3 Sols
5: Feb 7 Tues2.4: Ax=b PA = LU Factorization, Pivoting 2.4:2ab,4a,8,10*
5: Feb 9 Thurs2.5: Ax=b Iterative Methods 2.5:2ab,4ab,C2,C6*; Hwk4 Sols.
6: Feb 14 Tues2.6: Ax=b Symmetric Positive-Definite A 2.6:4ad,8b,14(start at [0 0]'),C3*
6: Feb 16 Thurs2.7: 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 Thur3.1: Lagrange and Newton Interpolation 3.1:2ab,4,6,8,10,14*,18; Due 3/7
8: Feb 28 Tues3.2: Interpolation Errors 3.2:2,4,6*,C3,C4; Hwk6 Sols.
8: Mar 2 Thur3.3: Chebyshev Interpolation 3.3:2,4,6,7,8*,C2*,C4
9: Mar 7 Tues3.4: Cubic Spline Interpolation 3.4:2,4,8a,14,16*,C2,C6,C8*
9: Mar 9 Thur3.5: Parametric Curves 3.5:2b,4,8,12*; Hwk7 Sols.
X: Mar 13-17 Spring Break, No Classes Famous Numerical Analysts
10: Mar 21 Tues4.1: Least Squares, Normal Equations 4.1:2,4,8a,10a*,12,C2,C10*
10: Mar 23 Thur5.1: Numerical Differentiation, Extrapolation 5.1:2,6,8,10*,12,14,C2; Hwk8 Sols.
11: Mar 28 Tues5.2: Newton-Cotes Integration Formulas 5.2.4b,6b,10,12*,C2cfg,C8a*;
11: Mar 30 Thur5.3-4: Romberg and Adaptive Integration 5.3:2b,4(use 5.2.15),6*,C2bc; 5.4:2a,C2,C7cfg,C8*
12: Apr 4 Tues5.5: Gaussian Quadrature, Exam 2 Review5.5:2bc,4bd,10*, Due 4/18; Hwk9 Sols.
12: Apr 6 ThurExam 2: Chapters 3-5 Review Guide in class, Sample Exam; Exam Solutions
13: Apr 11 Tues6.1: ODE Intro, Euler's Method 6.1:4c,6c,8,12,14*,C2c,C8*;
13: Apr 13 Thur6.2: IVP Solver Analysis, Taylor Methods 6.2:2c,4c,C6,C8*;Hwk10 Sols.
14: Apr 18 Tues6.3-4: Runge-Kutta Methods, ODE Systems 6.3:2b,4c,C2b; 6.4:2c,4c,6*,C2,C6*;
14: Apr 20 Thur6.5-6: RK Pairs, Implicit Methods 6.6:2,4*; Hwk11 Sols.
15: Apr 25 Tues6.5-6: Implicit Methods, Stiff ODEs Week 14 Work Due 4/27
15: Apr 27 ThurCourse Summary; Final Exam Review Review Guide; Hwk12 Sols.
16: May 4 Thur Comprehensive Final Exam 1-3PM, Todd 125