Date: 
Topic: 
Reading: 
Exercises: 
Aug 08  Aug 10 
FORK 1003: Preparatory course in Mathematics, Economics and Econometrics 


Fri Aug 26: 1417, 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 02: 1417, A1040 
Lecture 2: Vectors and Linear Independence. Vector spaces. 
[E] 2.1  2.4, 2.6  2.7 
Problem set 2: Mon 1618, C2010/020/030/D1065 
Fri Sep 09: 1417, A1040 
Lecture 3: Matrices, determinants and minors. 
[E] 3.1  3.4 
Problem set 3: Mon 1618, C2010/020/030/D1065 
Fri Sep 16: 1417, A1040 
Lecture 4: Eigenvalues and eigenvectors. Diagonalization. Markov chains. 
[E] 4.1  4.4 
Problem set 4 
Mon Sep 19: 1619, A1040 
Plenary Session 1: Problems from Lecture 14 
Key problems 2.2, 2.3a, 2.4ef, 3.1, 3.3, 3.4, 4.3, 4.4, 4.5 [E] 4.8b Midterm 01/2022 Q45 
Fri Sep 23: 1417, A1040 
Lecture 5: Definiteness of quadratic forms. Markov chains. 
[E] 2.5, 4.4  4.6 
Problem set 5: Mon 1618, C2010/020/030/D1065 
Fri Sep 30: 1417, A1040 
Lecture 6: Unconstrained Optimization. 
[E] 5.1  5.5, 5.7 
Problem set 6: Mon 1618, C2010/020/030/D1065 
Fri Oct 07: 1417, A1040 
Lecture 7: Constrained Optimization. Lagrange problems. 
[E] 6.1  6.4, 6.6 
Problem set 7 
Mon Oct 10: 1619, A1040 
Plenary Session 2: Problems from Lecture 46 + Midterm exam problems 
Key problems 6.1, 6.2a, 6.3c, 6.5b Midterm Mock midterm 10/2022 Q2,411,14,17,19,2122 Midterm 01/2020 Q7 
Fri Oct 14: 0910 
Midterm exam for GRA6035  Solutions 
Results 
All material from Lecture 1  Lecture 6 is relevant for the midterm exam. 
Fri Oct 14: 1417, A1040 
Lecture 8: KuhnTucker problems. Envelope Theorems. 
[E] 6.5  6.6 
Problem set 8: Mon 1618, C2010/020/030/D1065 
Fri Oct 21: 1417, A1040 
Lecture 9: Matrix methods and optimization 
[E] 5.6, 6.7 
Problem set 9: Mon 1618, C2010/020/030/D1065 
Fri Oct 28: 1417, A1040 
Lecture 10: First order differential equations. 
[E] 7.1  7.7 
Problem set 10 
Mon Oct 31: 1619, A1040 
Plenary Session 3: Problems from Lecture 79 
Key problems 7.3, 7.4, 8.1, 8.2, 9.1  9.4 [E] 6.3  6.5 Final exams 11/2017 34, 11/2018 34, 01/2019 5, 11/2019 4, 01/2022 3, 04/2022 1,3 
Fri Nov 04: 1417, A1040 
Lecture 11: Stability. Second order differential equations. 
[E] 7.8  7.10 
Problem set 11: Mon 1618, C2010/020/030/D1065 
Fri Nov 11: 1417, A1040 
Lecture 12: Systems of differential equations. 
[E] 9.1  9.3 
Problem set 12 
Mon Nov 14: 1619, A1040 
Plenary Session 4: Problems from Lecture 1012 
Key problems 10.2c, 10.3b, 10.4c, 11.2d, 11.3, 12.1a, 12.3 Final exams 04/2022 2ad, 01/2022 1,2c 01/2020 3a, 12/2015 2c 
Fri Nov 18: 1417, A1040 
Lecture 13: Difference equations. Systems of difference equations. 
[E] 8.1  8.4, 9.4  9.5 
Problem set 13: Mon 1618, C2010/020/030/D1065 
Fri Nov 25: 1417, A1040 
Lecture 14: Revision, exam problems from final exam 12/2021 

Extra exercise session: Mon 1618, D1065 
Wed Nov 30: 1417 
Final exam for GRA6035 and ELE3781  Solutions 



Jan 09 2023: 1718 
Midterm exam (retake for GRA6035) 


Jan 09 2023: 0912 
Final exam (retake for GRA6035) 

