Lectures in Oslo 
Lecturer Eivind Eriksen (Office B4032), Office hours: Thu 1214 
Reading 
Exercises 
Jul 31 Aug 02 
FORK 1003: Preparatory course, Mathematics 


Fri Aug 23: 08001045, A1040 
Lecture 1: Linear systems and Gaussian elimination. Rank. 
[ME] 6.1, (6.2), 7.1  7.4, (7.5), (28.1), [LN] Ch. 1 
Problem set 1  Solutions 
Fri Aug 30: 08001045, A1040 
Lecture 2: Matrices and matrix algebra. Determinants, minors and rank. 
[ME] 8.1  8.4, (8.5  8.6), 9.1  9.2, (9.3), 26.1  26.3, (26.4), 26.5 
Problem set 2  Solutions 
Fri Sep 06: 08001045, A1040 
Lecture 3: Vectors and Linear Independence. Linear subspaces and rank. 
[ME] 10.1  10.3, (10.4), 10.5, (10.6  10.7), 11.1  11.4, (27.1  27.5) 
Problem set 3  Solutions 
Fri Sep 13: 08001045, A1040 
Lecture 4: Eigenvalues and eigenvectors. Diagonalization. 
[ME] 23.1  23.4, 23.623.7, (23.9) 
Problem set 4  Solutions 
Mon Sep 16: 17001945, A1040 
Plenary Session 1: Problems from Lecture 14 
Key problems 2.3c, 4.1ef, 4.3 [WB] 1.15, 2.18b, 2.21, 3.1, 3.5, 3.12, 3.14, 4.3b, 4.5, 4.6, 4.9, 4.10 Midterm Exam 10/2017 15 
Fri Sep 20: 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) 
Problem set 5  Solutions 
Fri Sep 27: 14001645, A1040 
Lecture 6: Unconstrained Optimization. Convex and concave functions. 
[ME] 14.1  14.4, 14.8, 17.1  17.5, 30.1 
Problem set 6  Solutions 
Fri Oct 04: 08001045, A1040 
Lecture 7: Constrained Optimization. First Order Conditions. 
[ME] 18.1  18.7, (12.3  12.5), 21.1 
Problem set 7  Solutions 
Mon Oct 07: 17001945, A1040 
Plenary Session 2: Problems from Lecture 56 + Midterm exam 10/2018 
Key problems 5.1c, 5.2e, 5.3d, 6.1d, 6.3bd, 6.4d, 7.2c [WB] 5.15, 6.1c, 6.2a Midterm Exam 10/2018 18, 10/2016 5, 05/2017 8 
Fri Oct 11: 08001045, A1040 
Lecture 8: Constrained Optimization. Second Order Conditions. NDCQ. 
[ME] 19.1, (19.4) 
Problem set 8  Solutions 
Fri Oct 11: 15001600 
Midterm exam  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 18: 08001045, A1040 
Lecture 9: Envelope Theorems. Kelly Criterion. 
[ME] 19.2  19.3, (19.4  19.6), (Kelly Criterion) 
Problem set 9  Solutions 
Fri Oct 25: 08001045, A1040 
Lecture 10: First order differential equations. 
[DE] 1.1  1.6 [ME] 24.1  24.2, (24.4  24.6) 
Problem set 10  Solutions 
Mon Oct 28: 17001945, A1040 
Plenary Session 3: Problems from Lecture 79 
Key problems 7.1d, 7.4b, 8.2d, 8.3b, 9.1, 9.3 [WB] 7.1f, 8.13 Final Exam 01/2017 34, 11/2017 34 
Fri Nov 01: 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) 
Problem set 11  Solutions 
Fri Nov 08: 14001645, A1040 
Lecture 12: Systems of differential equations. Difference equations. 
[DE] 2.1  2.3 [ME] 23.2 
Problem set 12  Solutions 
Mon Nov 11: 17001945, A1040 
Plenary Session 4: Problems from Lecture 1012 
Key problems 10.2c, 11.1bc, 11.3c, 12.2, 12.3 [WB] 10.15, 12.7 [DE] 1.20, 2.4 Exam Final exam 12/2012 3, 06/2018 2bc 
Fri Nov 15: 08001045, A1040 
Lecture 13: Revision of Lecture 112. 

Problem set 13 
Fri Nov 22: 08001045, A1040 
Lecture 14: Final exam 11/2018. 


Wed Nov 27: 09001200 
Final exam 27/11/2019 
Solutions 



January 2020: Not confirmed 
Midterm exam (retake) 


January 2020: Not confirmed 
Final exam (retake) 



There will not be any retake exams for GRA 6035 Mathematics in May/June 2020. 

