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] in the Lecture Plan below is indicative of the curriculum of the course.
Date:  Topic:  Reading:  Problems: 
Aug 2015  FORK 1003: Linear algebra (preparatory course)  
Thu Aug 20 08001045 : C1020 
Lecture
1 Linear systems and Gaussian Elimination 
[ME] 6.1, (6.2), 7.1  7.4, (7.5) [LSGE] 1  3 
[WB]
Lecture 1 
Mon Aug 24 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Aug 27 08001045 : C1020 
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 
[WB] Lecture 2 
Mon Aug 31 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Sep 03 08001045 : C1020 
Lecture
3 Vectors and Linear Independence 
[ME] 10.1  10.3, (10.4  10.7),
11.1 
WB] Lecture 3 
Mon Sep 07 17001945 : C1020 
Plenary Session 1 We go through selected problems from Lecture 13 in class 
Problems:
1.4, 1.8  1.11, 1.15, 2.18, 2.20ac, 3.4, 3.11, 3.12, 3.14, 3.15 

Thu Sep 10 08001045 : C1020 
Lecture 4 Eigenvalues and Diagonalization 
[ME] 23.1  23.4,
23.6 23.7, (23.9) 
[WB] Lecture 4 
Mon Sep 14 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Sep 17 08001045 : C1020 
Lecture 5
 Note: How to
compute all principal minors Markov chains. Quadratic Forms and Definiteness 
[ME] 13.1
 13.5,
16.1  16.4, 23.8 (Google's PageRank algorithm in more detail) 
[WB] Lecture 5 
Mon Sep 21 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Sep 24 08001045 : C1020 
Lecture 6
 Note:
An example Unconstrained Optimization 
[ME] 14.1
 14.4,
14.8, 17.1  17.5, 30.1 
[WB] Lecture 6 
Mon Sep 28 17001945 : C1020 
Plenary Session 2 We go through selected problems from Lecture 46 in class 
Problems:
4.4,
4.6  4.12, 5.4, 5.5,
5.8, 5.9, 5.13, 6.2ii, 6.4iii, 6.5, 6.8, 6.20, 6.26 

Thu Oct 01 08001045 : C1020 
Lecture 7 Constrained Optimization and First Order Conditions 
[ME] 14.1  14.4,
14.8, 17.1  17.5, 30.1 
[WB] Lecture 7 
Mon Oct 05 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Oct 08 08001045 : C1020 
Lecture 8
 Notes: Proof of SOC,
Alternative method
for NDCQ Constrained Optimization and Second Order Conditions 
[ME] 19.1, (19.4) 
[WB] Lecture 8 
Fri Oct 09 15001600 
Midterm exam 09/10/2015
 Solutions Relevant material for Midterm: Lecture 16 and Exercise problems from these lectures 

Mon Oct 12 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Oct 15 08001045 : C1020 
Lecture
9  Note: Linear
approximation of a function Envelope Theorems and Bordered Hessians 
[ME] 19.2  19.3,
(19.4  19.6) 
[WB]
Lecture 9 
Mon Oct 19 17001945 : C1020 
Plenary Session 3 We go through selected problems in class 
Problems:
7.1, 7.5, 7.7/8.6/9.4, 7.8/8.7, 7.9/8.8,
7.10/8.9, 8.12, 8.13, Final Exam GRA60353 Dec. 2013, Problem 4 

Thu Oct 22 08001045 : C1020 
Lecture 10
 Notes: Review of
integration First order differential equations 
[ME] 24.1  24.2, (24.4  24.6) 
[WB] Lecture 10 
Mon Oct 26 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Mon Nov 02 17001945 : C2010/045 
Problem
Session We work with problems from [WB]. TAs are available to help 

Thu Nov 05 08001045 : C102 
Lecture
11 Exact and second order linear differential equations 
[ME] 24.1  24.3,
(24.4  24.6) 
[WB]
Lecture 11 
Mon Nov 09 17001945 : C1020 
Plenary Session 4 We go through selected problems in class 
Problems:
7.4/8.3, 8.10, 8.11, 9.5, 10.12, 10.14, 10.15, 11.11, Final Exam GRA60353 Dec. 2013, Problem 34 

Thu Nov 12 08001045 : C1020 
Lecture
12 Difference Equations 
[ME]
23.2 
[WB] Lecture 12 
Thu Nov 19 08001045 : C1020 
Lecture 13
 Review: Matrix Problems, Unconstrained Optimization Review with Exam Problems from Final Exam GRA60353 12/2014 

Tue Dec 08 14001645 : C1020 
Lecture 14
 Review: Constrained Optimization, Differential/Difference equations Review with Exam Problems from Final Exam GRA60353 12/2014 

Fri Dec
11 09001200 
Final exam 11/12/2015
 Solutions Relevant material for final exam: All lectures and all exercise problems. 

Wed Feb 24 17001945 : C1050 
Retake review:
Lecture 1 Linear algebra and matrices 

Fri Feb 26 14001645 : C1050 
Retake review:
Lecture 2 Differential equations 

Mon Feb 29 17001945 : D3090 
Retake review:
Lecture 3 Optimization in several variables 

Fri Mar 04 15001800 
Final exam 14/03/2016
 Solutions Relevant material for final exam: All lectures and all exercise problems. 

Mon Mar 07 18001900 
Midterm exam 07/03/2016
 Solutions Relevant material for Midterm: Lecture 16 and Exercise problems from these lectures 