All material covered by the lectures and problems is part of the curriculum for GRA 6035 Mathematics, and is relevant for the final exam. All material covered by Lecture 16 and all problems corresponding to these lectures is relevant for the midterm exam. The list of sections in [ME] and [FMEA] in the Lecture Plan below is indicative of the curriculum of the course.
Date:  Topic:  Reading:  Problems: 
Thu Aug 21 08001045 : C1060 
Lecture
1 Linear systems and Gaussian Elimination 
[ME] 6.1, (6.2), 7.1  7.4, (7.5) [LSGE] 1  3, [FMEA] 1.3  1.4 
Workbook Lecture 1 
Thu Aug 28 08001045 : C1060 
Lecture
2 Matrices and Matrix Algebra 
[ME] 8.1
 8.4, (8.5  8.6), 9.1  9.2, (9.3), 26.1  26.3, (26.4), 26.5 [FMEA] 1.1, 1.9 
Workbook Lecture 2 
Mon Sep 01 17001945 : C2020/045 
Problem
Session Lecturer + TAs 

Thu Sep 04 08001045 : C1000 
Lecture
3B (B = Business except major in finance) Vectors and Linear Independence 
[ME] 10.1  10.3, (10.4  10.7),
11.1 [FMEA] 1.2 
Workbook Lecture 3 
Mon Sep 08 08001045 : C1060 
Lecture
3F (F = Financial Economics + Business with major in finance) Vectors and Linear Independence 
[ME] 10.1  10.3, (10.4  10.7),
11.1 [FMEA] 1.2 
Workbook Lecture 3 
Mon Sep 08 17001945 : C2010/20/45 
Problem
Session TAs 


Thu Sep 11 08001045 : C1060 
Lecture 4B Eigenvalues and Diagonalization 
[ME] 23.1  23.4,
23.6 23.7, (23.9) [FMEA] 1.5  1.6 
Workbook Lecture 4 
Mon Sep 15 08001045 : C1060 
Lecture 4F Eigenvalues and Diagonalization 
[ME] 23.1  23.4,
23.6 23.7, (23.9) [FMEA] 1.5  1.6 
Workbook Lecture 4 
Mon Sep 15 17001945 :C2020/45, B2070 
Problem
Session TAs 

Thu Sep 18 08001045 : C1060 
Lecture 5B  Note: How to compute all principal minors Quadratic Forms and Definiteness 
[ME] 13.1
 13.5,
16.1  16.4, 23.8 [FMEA] 1.7  1.8 
Workbook Lecture 5 
Mon Sep 22 08001045 : C1060 
Lecture 5F  Note: How to compute all principal minors Quadratic Forms and Definiteness 
[ME] 13.1  13.5,
16.1  16.4, 23.8 [FMEA] 1.7  1.8 
Workbook Lecture 5 
Mon Sep 22 17001945 : C1060 
Plenary
Session  Note: How to compute eigenvalues Selected problems from Lecture 14 
Problems: 1.4, 1.15, 2.18, 2.20c, 3.4, 3.5, 3.14, 3.15, 4.6, 4.7, 4.8, 4.9, 4.11 

Thu Sep 25 08001045 : C1060 
Lecture 6B  Note: An example Unconstrained Optimization 
[ME] 14.1
 14.4,
14.8, 17.1  17.5, 30.1 [FMEA] 3.1  3.2, 3.4 
Workbook Lecture 6 
Mon Sep 29 08001045 : C1060 
Lecture 6F  Note: An example Unconstrained Optimization 
[ME] 14.1  14.4,
14.8, 17.1  17.5, 30.1 [FMEA] 3.1  3.2, 3.4 
Workbook Lecture 6 
Mon Sep 29 17001945 : C2010/20/45 
Problem
Session TAs 

Thu Oct 02 08001045 : C1060 
Lecture 7B Constrained Optimization and First Order Conditions 
[ME] 14.1  14.4,
14.8, 17.1  17.5, 30.1 [FMEA] 3.1  3.2, 3.4 
Workbook Lecture 7 
Mon Oct 06 08001045 : C1060 
Lecture 7F Constrained Optimization and First Order Conditions 
[ME] 14.1  14.4,
14.8, 17.1  17.5, 30.1 [FMEA] 3.1  3.2, 3.4 
Workbook Lecture 7 
Mon Oct 06 17001945 : C2010/20/45 
Problem
Session Lecturer + TAs 

Thu Oct 09 08001045 : C1060 
Lecture 8B  Notes: Proof of SOC, Alternative method for NDCQ Constrained Optimization and Second Order Conditions 
[ME] 19.1, (19.4) [FMEA] 3.6 
Workbook Lecture 8 
Fri Oct
10 15001600 
Midterm exam 10/10/2014  Solutions Relevant material for Midterm: Lecture 16 and Exercise problems from these lectures 

Mon Oct 13 08001045 : C1010 
Lecture 8F  Notes: Proof of SOC, Alternative method for NDCQ Constrained Optimization and Second Order Conditions 
[ME] 19.1, (19.4) [FMEA] 3.6 
Workbook Lecture 8 
Mon Oct 13 17001945 : C1060 
Plenary
Session Selected problems from Lecture 58 
Problems: 5.5, 6.8, 6.20, 6.26, 7.7, 7.8, 7.9, 7.10, 8.6, 8.7, 8.8, 8.9, 8.13 

Thu Oct 16 08001045 : C1060 
Lecture
9B Envelope Theorems and Bordered Hessians 
[ME] 19.2  19.3,
(19.4  19.6) [FMEA] 2.2  2.3 
Workbook Lecture 9 
Mon Oct 20 08001045 : C1060 
Lecture
9F Envelope Theorems and Bordered Hessians 
[ME] 19.2  19.3, (19.4  19.6) [FMEA] 2.2  2.3 
Workbook Lecture 9 
Mon Oct 20 17001945 : C2010/20/45 
Problem
Session TAs 

Mon Oct 27 17001945 : C1050 
Lecture
10F (Pål Lauritzen)  Notes: Review of integration First Order Differential Equations 
[ME] 24.1  24.2, (24.4  24.6) [FMEA] 5.1  5.3 
Workbook Lecture 10 
Mon Oct 27 17001945 : C2010/20/45 
Problem
Session TAs 

Thu Oct 30 08001045 : C1060 
Lecture
10B  Notes: Review of integration First Order Differential Equations 
[ME] 24.1  24.2,
(24.4  24.6) [FMEA] 5.1  5.3 
Workbook Lecture 10 
Mon Nov 03 08001045 : C1060 
Lecture
11F Second Order Differential Equations 
[ME] 24.1  24.3, (24.4  24.6) [FMEA] 5.4  5.7, 6.1  6.4 
Workbook Lecture 11 
Mon Nov 03 17001945 : C2010/20/45 
Problem
Session TAs 

Thu Nov 06 08001045 : C1060 
Lecture
11B Second Order Differential Equations 
[ME] 24.1  24.3,
(24.4  24.6) [FMEA] 5.4  5.7, 6.1  6.4 
Workbook Lecture 11 
Mon Nov 10 08001045 : C1060 
Lecture
12F Difference Equations 
[ME]
23.2 [FMEA] 6.1  6.4, 11.1  11.4 
Workbook Lecture 12 
Mon Nov 10 17001945 : C2010/20/45 
Problem
Session TAs 

Thu Nov 13 08001045 : C1060 
Lecture
12B Difference Equations 
[ME]
23.2 [FMEA] 6.1  6.4, 11.1  11.4 
Workbook Lecture 12 
Mon Nov 17 17001945 : C1010 
Lecture 13 Part I: Review with Exam Problems 1) Matrix methods 2) Unconstrained optimization 
Final
exam 12/2013 Problem 12 Final exam 12/2013 Solutions 

Thu Nov 20 08001045 : A1040 
Lecture 13 Part II: Review
with Exam Problems 3) Constrained optimization 4) Difference/differential equations 
Final exam 12/2013 Problem
34 Final exam 12/2013 Solutions 

Dec
12 09001200 
Final exam 12/12/2014  Solutions Relevant material for final exam: All lectures and all exercise problems. 

Apr 27, 2015 09001000 
Midterm exam 27/04/2015  Solutions Relevant material for Midterm: Lecture 16 and Exercise problems from these lectures 

May 15, 2015 09001200 
Final exam 15/05/2015  Solutions Relevant material for final exam: All lectures and all exercise problems. 