Date 
Topic 
Material 
Graded Problems 
Mon
Jan 21 
Overview 
C&K
Readings:


Wed
Jan 23 
No class  Blog
setup:


Mon
Jan 28 
Locating
Roots of Equations: Bisection Method 

HW1 Due Wed Feb 6 3.1.13: relative error 3.2.25: sqrt(R) 
Wed
Jan 30 
Locating
Roots of Equations: Newton's Method 


Thu/Fri Tutorial Sessions 
Session
1: Root Finding 
Questions selected from:


Mon
Feb 4 
Locating
Roots of Equations: Secant Method 


Wed
Feb 6 
Programming
Assignment #1: Rendering Implicit Surfaces using Root Finding 
Materials:

HW2 Due Wed Feb 13 Computer Problem 1.1.3 Computer Problem 2.1.7 Computer Problem 2.1.8 3.3.5 Largest root using Bisection, Newton and Secant (moved to next week) 
Thu/Fri Tutorial Sessions 
Session
2: Root Finding and Assignment 
Questions selected from:


Mon
Feb 11 Wed Feb 13 
Polynomial
Interpolation 
Materials:

HW3 Due Wed Feb 27 3.3.5 Largest root using Bisection, Newton and Secant (EXTENDED DEADLINE) 
Thu/Fri Tutorial Sessions 
Session
3: Lagrange Interpolation, and review 
Questions selected from:


Mon
Feb 18 
More
Interpolation 
Materials:


Tues
Feb 19 
Preliminary
Exam #1 
Details:


Wed
Feb 20 
Estimating
Derivatives 
Materials:

Reminder:
No HW due today 
Thu/Fri Tutorial Sessions 
Newton
Interpolation, and Estimating Derivatives 
Questions selected from:


Mon
Feb 25 
Richardson
Extrapolation and Romberg Integration 
Materials:


Wed
Feb 27 
Pause
for reflection 
Materials:

HW4 Due Wed Mar 5 4.3.8b f''(x) formula 4.3.18 Richardson 
Thu/Fri Tutorial Sessions 
Estimating
Derivatives, and Richardson Extrapolation 
Questions selected from:


Mon
Mar 3 
Floating
Point, and BLAS 
Materials:


Wed
Mar 5 
Gaussian
Elimination, and LU Factorization 
Materials:

HW5 Due Wed Mar 12 7.1.7e Computer Problems: CP 4.1.2 CP 4.3.2 (test on functions from CP4.3.1; use h=1) CP 8.1.2 (postponed until next week) Clarifications: TBD 
Thu/Fri Tutorial Sessions 
Richardson
Extrapolation, Floating Point, Gaussian Elim & LU Factorization 
Questions selected from:


Mon
Mar 10 
Matrix
Factorizations (cont'd) 
Materials:


Wed
Mar 12 
The
Singular Value Decomposition; and Least Squares 
Materials:

HW5 Due Wed Mar 26 (after break) CP 8.1.2 (postponed earlier) 8.1.7 Hilbert 8.1.21 LDL' 
Programming
Assignment #2: The ShadowBox 
Materials:


Thu/Fri Tutorial Sessions 
Matrix
Factorizations 
Questions selected from:


Mon
Mar 17 
No
Class (March Break) 

Wed
Mar 19 

Mon
Mar 24 
Method
of Least Squares 
Materials:


Wed
Mar 26 
Method
of Least Squares (cont'd);

Materials:

HW6 Due next Wed Apr 2 (Solutions out Mon) 12.1.6 Find "c" 12.1.14 Line fitting CP 12.3.4 Rational linear 
Thu/Fri Tutorial Sessions 
Method
of Least Squares 
Questions selected from:


Mon
Mar 31 
QR Factorization

Materials:


Wed
Apr 2 
Recitation 
Materials:

No HW this week (due to prelim2) 
Thurs Apr 3 
Preliminary
Exam #2 
Details:


Thu/Fri Tutorial Sessions 
Q/A Sessions 

Mon Apr 7 Wed Apr 9 
Numerical Integration

Materials:


"HW 8"


Thu/Fri Tutorial Sessions 
QR Factorization, and Numerical Integration 
Questions selected from:


Mon Apr 14 Wed Apr 16 
Numerical Integration of Ordinary Differential Equations (ODEs) 
Materials:

"HW 9"

Programming
Assignment #3: Particle Advection

Materials:


Thu/Fri Tutorial Sessions 
Numerical Integration of ODEs  Questions selected from:


Mon Apr 21  Monte Carlo Methods (& ODE wrapup) 
Materials:


Wed Apr 23 
Principal Component Analysis (PCA)

Materials:


Mon Apr 28  No class  
Wed Apr 30  Course Review Q&A  Other announcements:

HW9 back 
Thu/Fri Tutorial Sessions 

Wed May 7 
Final Exam

Details:
