Week 
Date 
Topic 
Homework/Test 
1 
Mon Jan 14 
Introduction 
The Definition of Numerical Analysis 
 Part I: Fundamentals 
Wed Jan 16 
1: MatrixVector Multiplication 


Fri Jan 18 
2: Orthogonal Vectors and Matrices 
Mathematical autobiography using the
Layout skill (LaTeX template) 
2 
Mon Jan 21 
Martin Luther King, Jr. Day, no class 
Wed Jan 23 
3: Norms 
Problems 1.1 and 1.3 
Fri Jan 25 
4: The Singular Value Decomposition (video) 
Problems 2.2 and 2.6 (drop deadline) 
3 
Mon Jan 28 
5: More on the SVD 
Problem 3.3; Problem 3.4 using the Flow skill 
Wed Jan 30 
 Part II: QR Factorization and Least Squares 
Fri Feb 1 
6: Projectors 
Problems 4.1 and 4.2 
4 
Mon Feb 4 
7: QR Factorization 
Problem 5.3 using the Graphs skill 
Wed Feb 6 
8: GramSchmidt Orthogonalization 
Problems 6.2 and 6.4 
Fri Feb 8 
9: Matlab 
Problem 7.1 and 7.5 
5 
Mon Feb 11 
10: Householder Triangularization 
Problems 8.1 and 8.2 
Wed Feb 13 
guide  Test on Part I 
Fri Feb 15 
11: LeastSquares Problems 
Problems 9.1 and 9.3 
6 
Mon Feb 18 
 Part III: Conditioning and Stability 
Wed Feb 20 
12: Conditioning and Condition Numbers 
Problems 10.2 and 10.3 
Fri Feb 22 
13: Floating Point Arithmetic 
Problem 11.1 using the Logic skill; Problem 11.3 
7 
Mon Feb 25 
14: Stability 
Problem 12.2 
Wed Feb 27 
15: More on Stability 
Problems 13.2 and 13.3 
Fri Mar 1 
guide 
Test on Part II 
Spring Break 
8 
Mon Mar 11 
16: Stability of Householder Triangularization 
Problem 14.1 using the Intros skill; Problem 14.2 
Wed Mar 13 
17: Stability of Back Substitution 
Problem 15.1 and 15.2 
Fri Mar 15 
9 
Mon Mar 18 
18: Conditioning of Least Squares Problems 
Problem 16.2 
Wed Mar 20 
19: Stability of Least Squares Algorithms 
Problem 17.1 using the
Symbols skill; Problem 17.2 
Fri Mar 22 
 (drop deadline with WP/WF) 
10 
 Part IV: Systems of Equations 
Mon Mar 25 
20: Gaussian Elimination 
Problems 18.1 and 18.2 
Wed Mar 27 
21: Pivoting 
Problem 19.1 as a good problem; Problem 19.2 
Fri Mar 29 
22: Stability of Gaussian Elimination 
Problems 20.1 and 20.5 
11 
Mon Apr 1 
23: Cholesky Factorization 
Problems 21.1 and 21.6 
Wed Apr 3 
guide 
Test on Part III 
Fri Apr 5 
12 
 Part V: Eigenvalues 
Mon Apr 8 
24: Eigenvalue Problems 
Problem 22.1 as a good problem. Presentations start. 
Wed Apr 10 
25: Overview of Eigenvalue Algorithms 
Problems 23.1 and 23.3 
Fri Apr 12 
26: Reduction to Hessenberg or Tridiagonal Form 
Problems 24.1 and 24.4 
13 
Mon Apr 15 
27: Rayleigh Quotient, Inverse Iteration 
Problems 25.1 and 25.3;

Wed Apr 17 
28: QR Algorithm without Shifts 
Problem 26.1 
Fri Apr 19 
29: QR Algorithm with Shifts 
Problem 27.1 as a good problem; Problem 27.4 
14 
Mon Apr 22 
30: Other Eigenvalue Algorithms 
Problems 28.2 and 28.3 
Wed Apr 24 
31: Computing the SVD 
Problem 29.1 
Fri Apr 26 
 Problems 30.1 and 30.3 
15 
Wed May 1 
12:20 pm in our regular classroom 
Final Exam (guide) 