Date: 
Topic: 
Reading: 
Exercises: 
Aug 07  Aug 09 
FORK 1003: Preparatory course in Mathematics, Economics and Econometrics 


Fri Aug 25: 1215, A1040 
Lecture 1: Linear systems and Gaussian elimination. Rank. 
[E] 1.1  1.6 
Problem set 1: Mon 1618, C2010/020/030/D1065 
Fri Sep 01: 1215, A1040 
Lecture 2: Vectors and vector spaces. Linear Independence, bases and dimension. 
[E] 2.1  2.4, 2.6  2.7 
Problem set 2: Mon 1618, C2010/020/030/D1065 
Fri Sep 08: 1215, A1040 
Lecture 3: Matrices, determinants and minors. 
[E] 3.1  3.4 
Problem set 3: Mon 1618, C2010/020/030/D1065 
Fri Sep 15: 1215, A1040 
Lecture 4: Eigenvalues and eigenvectors. Diagonalization. Powers. 
[E] 4.1  4.4 
Problem set 4 
Mon Sep 18: 1619, A1040 
Plenary Session 1: Problems from Lecture 14 
Key problems 2.1bdf, 2.2, 2.4, 3.3bc, 3.4bc, 4.1def, 4.2d, 4.3, 4.4b, 4.5b [E] 2.7, 2.14 Midterm 10/2022 Q7 
Fri Sep 22: 1215, A1040 
Lecture 5: Markov chains. Definiteness of quadratic forms. Orthogonal diagonalization. 
[E] 2.5, 4.4  4.6 
Problem set 5: Mon 1618, C2010/020/030/D1065 
Fri Sep 29: 1215, A1040 
Lecture 6: Ortogonal diagonalization. Unconstrained Optimization. Convexity. 
[E] 5.1  5.6 
Problem set 6: Mon 1618, C2010/020/030/D1065 
Fri Oct 06: 1215, A1040 
Lecture 7: Constrained Optimization. Lagrange problems. 
[E] 6.1  6.4 
Problem set 7 
Mon Oct 09: 1619, A1040 
Plenary Session 2: Problems from Lecture 57 + Midterm exam problems 
Key problems 5.1e, 5.2de, 5.3cd, 5.4, 5.5bc, 6.1, 6.2, 6.3, 6.4, 6.5, 7.2b 
Thu Oct 12: 1718 
Mock midterm exam  Solutions 
All material from Lecture 16 is relevant for the mock midterm exam 

Fri Oct 13: 1215, A1040 
Lecture 8: KuhnTucker problems. Envelope Theorems. 
[E] 6.5  6.6 
Problem set 8: Mon 1618, C2010/020/030/D1065 
Fri Oct 20: 1215, A1040 
Lecture 9: Envelope Theorems. Matrix methods. Note on Minimum variance portfolios 
[E] 5.6, 6.6  6.7 
Problem set 9: Fri 1618 D1065, Mon 1618, C2010/020/D1065 
Fri Oct 27: 1215, A1040 
Lecture 10: First order differential equations. 
[E] 7.1  7.7 
Problem set 10: Fri 1618 D1065 
Mon Oct 30: 1619, A1040 
Plenary Session 3: Problems from Lecture 79 
Key problems 7.1, 7.3b, 7.4, 8.1b, 8.2, 9.2, 9.3, 9.4 Final exam 04/2022 Q3 
Fri Nov 03: 1215, A1040 
Lecture 11: Stability. Second order differential equations. 
[E] 7.8  7.10 
Problem set 11: Fri 1618 D1065, Mon 1618, C2010/020/030/D1065 
Fri Nov 10: 1215, A1040 
Lecture 12: Systems of differential equations. 
[E] 9.1  9.3 
Problem set 12: Fri 1618 D1065 
Mon Nov 13: 1619, A1040 
Plenary Session 4: Problems from Lecture 1012 
Key problems 10.1c, 10.2bc, 10.3, 10.4, 11.1c, 11.2bcd, 11.3, 12.1c, 12.4 Final exam 12/2021 Q2 
Fri Nov 17: 1215, A1040 
Lecture 13: Difference equations. Systems of difference equations. 
[E] 8.1  8.4, 9.4  9.5 
Problem set 13  Solutions:
Fri 1618 D1065, Mon 1618, C2010/020/030/D1065 
Fri Nov 24: 1215, A1040 
Lecture 14: Revision, Final exam 11/2022 

Extra exercise session: Fri 1618 D1065 
Mon Nov 27: 1416 
Extra exercise session (Room A2 Blue 1 / Blue 4) 


Tue Nov 28: 0914 
Final exam for GRA6035 and ELE3781 
Solutions 
Results




Wed Jan 10: 0914 
Final exam (retake for GRA6035) 
Solutions 

