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 25 08001045 : A1040 
Lecture
1 Linear systems and Gaussian Elimination 
[ME] 6.1, (6.2), 7.1  7.4, (7.5) [LSGE] 1  3 
Workbook
Lecture 1 
Tue Aug 30 17001945 : C2005/045/065 
Exercise
Session Work with problems. TAs (teaching assistants) will be present. 

Thu Sep 01 08001045 : A1040 
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 
Workbook
Lecture 2 
Tue Sep 06 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Tue Sep 13 17001945 : A1040 
Lecture
3 Vectors and Linear Independence 
[ME] 10.1  10.3, (10.4  10.7),
11.1 
Workbook
Lecture 3 
Thu Sep 15 08001045 : A1040 
Lecture 4 Eigenvalues and Diagonalization 
[ME] 23.1  23.4,
23.6 23.7, (23.9) 
Workbook Lecture 4 
Tue Sep 20 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Thu Sep 22 08001045 : A1040 
Lecture 5
 Notes: How to
compute all principal minors  Google's PageRank algorithm Markov chains. Quadratic Forms and Definiteness 
[ME] 13.1
 13.5,
16.1  16.4, 23.8 (Google's PageRank algorithm in more detail) 
Workbook Lecture 5 
Tue Sep 27 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Thu Sep 29 17001945 : A1040 
Lecture 6 Unconstrained Optimization 
[ME] 14.1
 14.4,
14.8, 17.1  17.5, 30.1 
Workbook Lecture 6 
Tue Oct 04 17001945 : A1040 
Plenary
Problem Session I Review: Determinant/rank, diagonalization/Markov chains, definiteness and convex/concave functions  Problem 3.12, 4.3b, 4.10, 5.7, 5.9, 6.12, Midterm 10/2014 Pb 5,78, Midterm 03/2106 Pb 3,6,7, Midterm 10/2015: Pb 18 

Thu Oct 06 08001045 : A1040 
Lecture 7 Constrained Optimization and First Order Conditions 
[ME] 14.1  14.4,
14.8, 17.1  17.5, 30.1 
Workbook Lecture 7 
Fri Oct 07 15001600 
Midterm
exam 07/10/2016  Solutions Relevant material for Midterm: Lecture 16 and Exercise problems from these lectures 

Tue Oct 11 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Thu Oct 13 08001045 : A1040 
Lecture 8
 Notes: Proof of SOC,
Alternative method
for NDCQ Constrained Optimization and Second Order Conditions 
[ME] 19.1, (19.4) 
Workbook
Lecture 8 
Tue Oct 18 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Thu Oct 20 08001045 : A1040 
Lecture
9  Note: Linear
approximation of a function Envelope Theorems and Bordered Hessians 
[ME] 19.2  19.3,
(19.4  19.6) 
Workbook Lecture 9 
Tue Oct 25 17001945 : A1040 
Plenary
Problem Session II Lagrange/KuhnTucker problems 
Problem 6.1 iii), 7.1 v)  vi), 7.4/8.3, 7.6/8.5, 7.8/8.7, 7.9/8.8, 7.11/8.10, 8.12, 8.13 

Thu Oct 27 08001045 : A1040 
Lecture 10
 Notes: Review of
integration First order differential equations 
[ME] 24.1  24.2, (24.4  24.6) 
Workbook
Lecture 10 
Tue Nov 01 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Tue Nov 08 18152100 : A1040 
Plenary
Problem Session III  Notice date/time! 
Problem 8.10/7.11, 7.7/8.6/9.4, 9.5, 9.6 ii) / 9.7 ii), 9.9, 9.14 

Thu Nov 10 08001045 : A1040 
Lecture
11 Exact and second order linear differential equations 
[ME] 24.1  24.3,
(24.4  24.6) 
Workbook Lecture 11 
Tue Nov 15 17001945 : A1040 
Plenary
Problem Session IV 
Problem 10.8 ii), 10.12, 10.14, 10.15, 11.5, 11.6 ii), 11.7, 11.8 ii), 11.9, 11.11, 11.14 

Thu Nov 17 08001045 : A1040 
Lecture
12 Stability. Difference Equations 
[ME]
23.2 
Workbook
Lecture 12 
Mon Nov 21 17001945 : A1040  Lecture 13
 Review Lecture Review with Exam Problems: Final exam 12/2015  
Tue Nov 22 17001945 : C2005/045/065 
Exercise Session Work with problems. TAs (teaching assistants) will be present. 

Thu Dec 01 09001200 
Final
Exam 01/12/2016  Solutions  Justification of grades (common part) Relevant material for final exam: All lectures and all exercise problems. 

Fri Jan 06 09001000 
Midterm
06/01/2017  Solutions Relevant material for midterm exam: Lecture 16 and Exercise problems from these lectures. 

Fri Jan 06 12001500 
Final
Exam 06/01/2017  Solutions Relevant material for final exam: All lectures and all exercise problems. 

Thu May 18 09001000  Midterm 18/05/2017  Solutions Relevant material for midterm exam: Lecture 16 and Exercise problems from these lectures.  
Tue June 20 09001200  Final
Exam 20/06/2017  Solutions Relevant material for final exam: All lectures and all exercise problems 