Week 
Date 
Topic 
Homework/Test 
1 
January 4 
Introduction 
The Definition of Numerical Analysis 
  Part I: Fundamentals 

January 5 
1: MatrixVector Multiplication 



January 7 
2: Orthogonal Vectors and Matrices 
Mathematical autobiography using the
Layout skill (LaTeX template) 

January 8 
3: Norms 
Problems 1.1 and 1.3 
2 
January 11 
4: The Singular Value Decomposition 
Problems 2.2 and 2.6 

January 12 

January 14 
5: More on the SVD 
Problems 3.3 and 3.4 

January 15 
3 
January 18 
Martin Luther King, Jr. Day, no class 
  Part II: QR Factorization and Least Squares 

January 19 
6: Projectors 
Problem 4.1; Problem 4.2 using the Flow skill (drop deadline) 

January 21 
7: QR Factorization 
Problem 5.3 

January 22 

Problems 6.2 and 6.4 
4 
January 25 
 Test on Part I 

January 26 
8: GramSchmidt Orthogonalization 

January 28 
9 Matlab 
Problem 7.1 and 7.4 

January 29 
10: Householder Triangularization 
Problem 8.2; Problem 8.1 using the Logic skill 
5 
February 1 
11: LeastSquares Problems 
Problems 9.1 and 9.3 

February 2 
  Part III: Conditioning and Stability 

February 4 
12: Conditioning and Condition Numbers 
Problems 10.2 and 10.3 

February 5 
13: Floating Point Arithmetic 
Problems 11.1 and 11.3 
6 
February 8 
 (drop deadline with WP/WF) 

February 9 

Test on Part II 

February 11 
14: Stability 

February 12 
15: More on Stability 
Problem 12.2 using the Graphs skill 
7 
February 15  
Problems 13.2 and 13.3 

February 16 
16: Stability of Householder Triangularization 
Problems 14.1 and 14.2 

February 18 
17: Stability of Back Substitution 
Problem 15.1 and 15.2 

February 19 
8 
February 22 
18: Conditioning of Least Squares Problems 
Problem 16.2 using the Intros skill 

February 23 

Problems 17.1 and 17.2 

February 25 
19: Stability of Least Squares Algorithms 
  Part IV: Systems of Equations 

February 26 
20: Gaussian Elimination 
9 
March 1  
Problems 18.1 and 18.2 

March 2 
21: Pivoting 
Problems 19.1 and 19.2 

March 4 

March 5 

Test on Part III 
10 
March 8 
22: Stability of Gaussian Elimination
(Presentation) 
Problems 20.1 and 20.3 

March 9 
23: Cholesky Factorization (Presentation) 
Problems 21.1 and 21.6 
  Part V: Eigenvalues 

March 11 
24: Eigenvalue Problems (Presentation) 
Problem 22.1 using the
Symbols skill 

March 12 
Problems 23.1 and 23.3 
11 
March 17 
Wednesday at 12:20 pm in our regular classroom 
Final Exam 