Date: 
Topic: 
Reading: 
Exercises: 
Jul 30  Aug 10 
FORK 1003: Preparatory course, Mathematics 


Fri Aug 24: 08001045, A1040 
Lecture 1: Linear systems and Gaussian elimination. Rank. 
[ME] 6.1, (6.2), 7.1  7.4, (7.5) [GE] 13 
Problems for Lecture 1  Solutions 
Fri Aug 31: 08001045, A1040 
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  Solutions 
Fri Sep 07: 14001645, A1040 
Lecture 3: Vectors and Linear Independence. 
[ME] 10.1  10.3, (10.4  10.7), 11.1 
Problems for Lecture 3  Solutions 
Fri Sep 14: 08001045, A1040 
Lecture 4: Eigenvalues and eigenvectors. Diagonalization. 
[ME] 23.1  23.4, 23.6 23.7, (23.9) 
Problems for Lecture 4  Solutions 
Mon Sep 17: 17001945, A1040 
Plenary Session 1: Problems from Lecture 14 
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 15 
Fri Sep 21: 08001045, A1040 
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  Solutions 
Fri Sep 28: 08001045, A1040 
Lecture 6: Unconstrained Optimization. 
[ME] 14.1  14.4, 14.8, 17.1  17.5, 30.1 
Problems for Lecture 6  Solutions 
Fri Oct 05: 08001045, A1040 
Lecture 7: Constrained Optimization. First Order Conditions. 
[ME] 18.1  18.7, (12.3  12.5), 21.1 
Problems for Lecture 7  Solutions 

Mon Oct 08: 17001945, A1040 
Plenary Session 2: Problems from Lecture 56 + 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 68, 10/2015 18 
Fri Oct 12: 08001045, A1040 
Lecture 8: Constrained Optimization. Second Order Conditions. 
[ME] 19.1, (19.4) 
Problems for Lecture 8  Solutions 
Fri Oct 12: 15001600 
Midterm exam 12/10/2018  Solutions  Results 
All material from Lecture 16, including Problems for Lecture 16 and Review of Lecture 6, is relevant for the midterm exam 
Fri Oct 19: 08001045, A1040 
Lecture 9: Envelope Theorems. 
[ME] 19.2  19.3, (19.4  19.6), (Kelly Criterion) 
Problems for Lecture 9  Solutions 
Fri Oct 26: 08001045, A1040 
Lecture 10: First order differential equations. Separable and linear differential equations. 
[DE] 1.1  1.6 [ME] 24.1  24.2, (24.4  24.6) 
Problems for Lecture 10  Solutions 
Mon Oct 29: 17001945, A1040 
Plenary Session 3: Problems from Lecture 79 + Final exam 01/2017 
Key problems 7.3b, 7.4b, 8.3, 9.1, 9.3 [WB] 7.1, 8.13 Final Exam 01/2017 34 12/2015 4 
Fri Nov 02: 08001045, A1040 
Lecture 11: Exact differential equations. Stability. Second order differential equations. 
[DE] 1.6  1.10 [ME] 24.1  24.3, (24.4  24.6) 
Problems for Lecture 11  Solutions 
Fri Nov 09: 08001045, A1040 
Lecture 12: Systems of differential equations. Difference equations. 
[DE] 2.1  2.3 [ME] 23.2 
Problems for Lecture 12  Solutions 
Mon Nov 12: 17001945, A1040 
Plenary Session 4: Problems from Lecture 1012 
Key problems 10.2c, 11.2c, 11.3b [DE] 1.24, 2.3 Mock Exam 11/2017 1, 3 Final exam 01/2018 2 
Fri Nov 16: 08001045, A1040 
Lecture 13: Final exam 11/2017. 


Fri Nov 23: 08001045, A1040 
Lecture 14: Final exam 11/2017 4c. Review of important topics for the final exam. 


Tue Nov 27: 09001200 
Final exam 27/11/2018  Solutions  Results 




Common mistakes at the final exam with some guidelines for the retake exam 
Mon Jan 07: 09001000 
Midterm exam 07/01/2019  Solutions 


Mon Jan 07: 13001600 
Final exam 07/01/2019  Solutions 



There will not be any retake exams for GRA 6035 Mathematics in May/June 2019. 

