Date:  Lecture:  Topic:  FMEA: 
Aug 20 
0 
Matrix Algebra; Determinants; Linear systems; Gaussian
elimination Notes for class: Lecture 0 annotated  Gaussian elimination Part I annotated 
1.1 
Aug 27 
1 
Gaussian elimination; Inverse matrices; Linear
dependence Notes for class: Lecture 1  Gaussian elimination Part I  Gaussian elimination Part II 
1.2, 1.9 
Sep 03 
2 
Rank of a matrix; Applications Notes for class: Review of Lecture 1  Lecture 2 / Lecture 2 handout (Beamer presentation) 
1.2  1.4 
Sep 10 
3 
Eigenvalues and Eigenvectors Notes for class: Lecture 3 / Lecture 3 handout (Beamer presentation) 
1.5  1.6 
Sep 17 
4 
Quadratic Forms and Convexity Notes for class: Lecture 4 / Lecture 4 handout (Beamer presentation) 
1.7, 2.2  2.3 
Sep
24 

Midterm: Midterm 24/09/2010  Solutions to Midterm 24/09/2010 Relevant material for Midterm: Lecture 04 and Exercise problems from these lectures. Mock exam: Mock Midterm 17/09/2010  Solutions to Mock Midterm 17/09/2010 A mock exam is a set of exercises, much like the real exam would be, for the purpose of preparing for the exam. It is not graded. Comments to Question 6 from Midterm 28/09/2009 

Oct 01 
5 
Principal Minors and the Hessian Notes for class: Lecture 5 / Lecture 5 handout (Beamer presentation) 
1.8, 2.3, 3.1 
Oct 08 
6 
Local Extremal Points and Lagrange Problems Notes for class: Lecture 6 / Lecture 6 handout (Beamer presentation) 
3.2, 3.3 
Oct 15 
7 
Envelope Theorems, Bordered Hessians and KuhnTucker conditions Notes for class: Lecture 7 / Lecture 7 handout (Beamer presentation) 
3.1, 3.3  3.5 
Oct 22 
8 
Differential equations Notes for class: Lecture 8 / Lecture 8 handout (Beamer presentation)  KuhnTucker example 
5.1, 5.3 
Oct 29 
9 
First order differential equations Notes for class: Lecture 9 from Lecture Notes  Lecture 9 (handwritten notes from class) 
5.4  5.5 
Nov 05 
10 
Second order linear differential equations Notes for class: Lecture 10 from Lecture Notes  Lecture 10 (handwritten notes from class) 
5.7, 6.1  6.3 
Nov 09 
11 
Difference equations  Notice the time: Tuesday Nov 09 at 08.00 in C1060 Notes for class: Lecture 11 from Lecture Notes  Lecture 11 (handwritten notes from class) 
11.1  11.3 
Nov 19 
12 
Difference equations + Revision: Exam December 2009 Notes for class: Lecture 12 + Exam Dec'09 from Lecture Notes  Lecture 12 (handwritten notes from class) 
11.3  11.4 
Dec
10 
Final
exam: Final exam 10/12/2010  Solutions to final exam 10/12/2010 Relevant material for final exam: All lectures and all exercise problems. Mock exam: Mock final exam 22/11/2010  Solutions to Mock final exam 22/11/2010 A mock exam is a set of exercises, much like the real exam would be, for the purpose of preparing for the exam. It is not graded. 

May 24   Midterm Retake: Midterm 24/05/2011  Solutions to Midterm 24/05/2011 Relevant material for Midterm: Lecture 04 and Exercise problems from these lectures.  
May 30   Final
exam Retake: Final exam 30/05/2011  Solutions to final exam 30/05/2011 Relevant material for final exam: All lectures and all exercise problems. 
Date:  Lecture:  Session:  Exercise problems:  Responsible:  Problems for plenary session: 
Aug 26 
0 
Exercise Session 
0.1  0.12 
Raluca Stan Andra Vasilescu 

Sep 02 
1 
Exercise Session 
1.1  1.11 
Raluca Stan Andra Vasilescu 

Sep
09 
2 
Plenary
Session 
2.1
 2.17 
Eivind
Eriksen 
We did the following problems: 2.2, 2.4be, 2.5b, 2.6, 2.7,
2.9b, 2.10, 2.12, 2.17be We skipped/did not have time for: 0.5, 0.8, 0.12c, 1.5, 1.6, 1.7b, 1.9, 1.10, 1.11c, 2.11, 2.16 (optional) 
Sep 16 
3 
Exercise Session 
3.1  3.10 
Eivind Eriksen Raluca Stan 

Sep 23 
4 
Exercise Session 
4.1  4. 9 
Raluca Stan Andra Vasilescu 

Sep
30 

Plenary
Session 

Eivind
Eriksen 
We did the following problems: 3.1,
3.2, 3.3, 3.5, 3.7, 3.9, 3.10, 4.1, 4.2, 4.3 We skipped/did not have time for: 4.4, 4.5, 4.7, 4.8, 4.9 
Oct 07 
5 
Exercise Session 
5.1  5.8 
Raluca Stan Andra Vasilescu 
Challenging matrix problems for advanced students 
Oct 14 
6 
Exercise Session 
6.1  6.6 
Raluca Stan Andra Vasilescu 

Oct
21 
7 
Plenary
Session 
7.1
 7.5 
Eivind
Eriksen 
We did the following problems: 5.2,
5.5, 5.6, 5.8, 6.4, 6.5, FMEA 3.3.8, 7.5 We skipped/did not have time for: 7.4 
Oct 28 
8 
Exercise Session 
8.1  8.11 
Raluca Stan Andra Vasilescu 

Nov 04  9  Plenary Session  9.1  9.7  Eivind Eriksen  We did the following problems: 8.9, 8.10, 8.11, 9.1, 9.3c, 9.4, 9.5c, 9.6, 9.7 
Nov 11 
10 
Exercise Session 
10.1  10.9 
Raluca Stan Andra Vasilescu 

Nov 18 
11 
Exercise Session 
11.1  11.6 
Raluca Stan Andra Vasilescu 

Nov 22 
12 
Exercise Session 
12.1  12.6 
Raluca Stan Andra Vasilescu 

Additional Problems  Challenging matrix problems for advanced students 