GRA 6035 Mathematics

Reading material

Exams

Lecture plan

Date: Topic: Reading: Exercises:
Aug 08 - Aug 10 FORK 1003: Preparatory course in Mathematics, Economics and Econometrics
Fri Aug 26: 14-17, A1-040 Lecture 1: Linear systems and Gaussian elimination. Rank. [E] 1.1 - 1.6 Problem set 1: Mon 16-18, C2-010/020/030/D1-065
Fri Sep 02: 14-17, A1-040 Lecture 2: Vectors and Linear Independence. Vector spaces. [E] 2.1 - 2.4, 2.6 - 2.7 Problem set 2: Mon 16-18, C2-010/020/030/D1-065
Fri Sep 09: 14-17, A1-040 Lecture 3: Matrices, determinants and minors. [E] 3.1 - 3.4 Problem set 3: Mon 16-18, C2-010/020/030/D1-065
Fri Sep 16: 14-17, A1-040 Lecture 4: Eigenvalues and eigenvectors. Diagonalization. Markov chains. [E] 4.1 - 4.4 Problem set 4
Mon Sep 19: 16-19, A1-040 Plenary Session 1: Problems from Lecture 1-4 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 Q4-5
Fri Sep 23: 14-17, A1-040 Lecture 5: Definiteness of quadratic forms. Markov chains. [E] 2.5, 4.4 - 4.6 Problem set 5: Mon 16-18, C2-010/020/030/D1-065
Fri Sep 30: 14-17, A1-040 Lecture 6: Unconstrained Optimization. [E] 5.1 - 5.5, 5.7 Problem set 6: Mon 16-18, C2-010/020/030/D1-065
Fri Oct 07: 14-17, A1-040 Lecture 7: Constrained Optimization. Lagrange problems. [E] 6.1 - 6.4, 6.6 Problem set 7
Mon Oct 10: 16-19, A1-040 Plenary Session 2: Problems from Lecture 4-6 + Midterm exam problems Key problems 6.1, 6.2a, 6.3c, 6.5b Midterm Mock midterm 10/2022 Q2,4-11,14,17,19,21-22 Midterm 01/2020 Q7
Fri Oct 14: 09-10 Midterm exam for GRA6035 - Solutions - Results All material from Lecture 1 - Lecture 6 is relevant for the midterm exam.
Fri Oct 14: 14-17, A1-040 Lecture 8: Kuhn-Tucker problems. Envelope Theorems. [E] 6.5 - 6.6 Problem set 8: Mon 16-18, C2-010/020/030/D1-065
Fri Oct 21: 14-17, A1-040 Lecture 9: Matrix methods and optimization [E] 5.6, 6.7 Problem set 9: Mon 16-18, C2-010/020/030/D1-065
Fri Oct 28: 14-17, A1-040 Lecture 10: First order differential equations. [E] 7.1 - 7.7 Problem set 10
Mon Oct 31: 16-19, A1-040 Plenary Session 3: Problems from Lecture 7-9 Key problems 7.3, 7.4, 8.1, 8.2, 9.1 - 9.4 [E] 6.3 - 6.5 Final exams 11/2017 3-4, 11/2018 3-4, 01/2019 5, 11/2019 4, 01/2022 3, 04/2022 1,3
Fri Nov 04: 14-17, A1-040 Lecture 11: Stability. Second order differential equations. [E] 7.8 - 7.10 Problem set 11: Mon 16-18, C2-010/020/030/D1-065
Fri Nov 11: 14-17, A1-040 Lecture 12: Systems of differential equations. [E] 9.1 - 9.3 Problem set 12
Mon Nov 14: 16-19, A1-040 Plenary Session 4: Problems from Lecture 10-12 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: 14-17, A1-040 Lecture 13: Difference equations. Systems of difference equations. [E] 8.1 - 8.4, 9.4 - 9.5 Problem set 13: Mon 16-18, C2-010/020/030/D1-065
Fri Nov 25: 14-17, A1-040 Lecture 14: Revision, exam problems from final exam 12/2021 Extra exercise session: Mon 16-18, D1-065
Wed Nov 30: 14-17 Final exam for GRA6035 and ELE3781 - Solutions

Jan 09 2023: 17-18 Midterm exam (retake for GRA6035)
Jan 09 2023: 09-12 Final exam (retake for GRA6035)