GRA6035 Mathematics - 2010

Reading

Lecture Plan

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 classLecture 3 / Lecture 3 handout (Beamer presentation)
1.5 - 1.6
 
Sep 17
 
4
 
Quadratic Forms and Convexity
Notes for classLecture 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 0-4 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 classLecture 5 / Lecture 5 handout (Beamer presentation)
1.8, 2.3, 3.1
 
Oct 08
 
6
 
Local Extremal Points and Lagrange Problems
Notes for classLecture 6 / Lecture 6 handout (Beamer presentation)
3.2, 3.3
 
Oct 15
 
7
 
Envelope Theorems, Bordered Hessians and Kuhn-Tucker conditions
Notes for classLecture 7 / Lecture 7 handout (Beamer presentation)
3.1, 3.3 - 3.5
 
Oct 22
 
8
 
Differential equations
Notes for classLecture 8 / Lecture 8 handout (Beamer presentation) - Kuhn-Tucker 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 C1-060
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 Re-take: Midterm 24/05/2011 - Solutions to Midterm 24/05/2011
Relevant material for Midterm: Lecture 0-4 and Exercise problems from these lectures. 
May 30
 
 
 
Final exam Re-take: Final exam 30/05/2011 - Solutions to final exam 30/05/2011
Relevant material for final exam: All lectures and all exercise problems.

Problem Sessions

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