GRA 6035 Mathematics

Reading material

Exams

Lecture plan

Date: Topic: Reading: Exercises:
Jul 30 - Aug 10 FORK 1003: Preparatory course, Mathematics
Fri Aug 24: 0800-1045, A1-040 Lecture 1: Linear systems and Gaussian elimination. Rank. [ME] 6.1, (6.2), 7.1 - 7.4, (7.5) [GE] 1-3 Problems for Lecture 1
Fri Aug 31: 0800-1045, A1-040 Lecture 2: Matrices and matrix algebra. Determinants and minors. [ME] 8.1 - 8.4, (8.5 - 8.6), 9.1 - 9.2, (9.3), 26.1 - 26.3, (26.4), 26.5 Problems for Lecture 2
Fri Sep 07: 1400-1645, A1-040 Lecture 3: Vectors and Linear Independence. [ME] 10.1 - 10.3, (10.4 - 10.7), 11.1 Problems for Lecture 3
Fri Sep 14: 0800-1045, A1-040 Lecture 4: Eigenvalues and eigenvectors. Diagonalization. [ME] 23.1 - 23.4, 23.6 -23.7, (23.9) Problems for Lecture 4
Mon Sep 17: 1700-1945, A1-040 Plenary Session 1: Problems from Lecture 1-4 Key problems 3.3, 4.1de, 4.3 [WB] 1.15, 2.18b, 3.12, 3.14, 4.3b, 4.5, 4.6, 4.9, 4.10 Midterm Exam 10/2017 Question 1-5
Fri Sep 21: 0800-1045, A1-040 Lecture 5: Markov chains. Quadratic Forms and Definiteness. [ME] 13.1 - 13.5, 16.1 - 16.4, 23.8 (Google's Pagerank algorithm) Problems for Lecture 5
Fri Sep 28: 0800-1045, A1-040 Lecture 6: Unconstrained Optimization. [ME] 14.1 - 14.4, 14.8, 17.1 - 17.5, 30.1 Problems for Lecture 6
Fri Oct 05: 0800-1045, A1-040 Lecture 7: Constrained Optimization. First Order Conditions. [ME] 14.1 - 14.4, 14.8, 17.1 - 17.5, 30.1 Problems for Lecture 7
Mon Oct 08: 1700-1945, A1-040 Plenary Session 2: Problems from Lecture 5-6 + Midterm exam 10/2017 Key problems 5.1cd, 5.3e, 6.1d, 6.2, 6.4de, 7.2 [WB] 5.8, 5.9, 5.15, 6.1c, 6.2a, 6.22 Midterm Exam 10/2017 6-8, 10/2015 1-8
Fri Oct 12: 0800-1045, A1-040 Lecture 8: Constrained Optimization. Second Order Conditions. [ME] 19.1, (19.4) Problems for Lecture 8
Fri Oct 12: 1500-1600 Midterm exam 12/10/2018 - Solutions - Results All material from Lecture 1-6, including Problems for Lecture 1-6 and Review of Lecture 6, is relevant for the midterm exam
Fri Oct 19: 0800-1045, A1-040 Lecture 9: Envelope Theorems. Bordered Hessians. [ME] 19.2 - 19.3, (19.4 - 19.6) [WB] Lecture 9
Fri Oct 26: 0800-1045, A1-040 Lecture 10: First order differential equations. [ME] 24.1 - 24.2, (24.4 - 24.6) [DE] 1.1 - 1.7 [WB] Lecture 10
Mon Oct 29: 1700-1945, A1-040 Plenary Session 3: Problems from Lecture 7-9
Fri Nov 02: 0800-1045, A1-040 Lecture 11: Stability. Second order differential equations. Systems of differential equations. [ME] 24.1 - 24.3, (24.4 - 24.6) [DE] 1.8 - 1-10, 2.1 - 2.2 [WB] Lecture 11
Fri Nov 09: 0800-1045, A1-040 Lecture 12: Systems of differential equations. Difference Equations. [ME] 23.2 [DE] 2.1 - 2.3 [WB] Lecture 12
Mon Nov 12: 1700-1945, A1-040 Plenary Session 4: Problems from Lecture 10-12
Fri Nov 16: 0800-1045, A1-040 Lecture 13: TBA
Fri Nov 23: 0800-1045, A1-040 Lecture 14: Review Lecture. Final exam 11/2017.
Tue Nov 27: 0900-1200 Final exam.

Mon Jan 07: 0900-1000 Retake midterm exam.
Mon Jan 07: 1300-1600 Retake final exam.
There will not be any retake exams for GRA 6035 Mathematics in May/June 2019.