ELE 3781 Mathematics elective

Reading material

Exams

Lecture plan

Lecture plan Lecturer Eivind Eriksen (Office B4-032), Office hours: Thu 12-14 Reading Exercises
All lectures Live stream A1-040 - Live stream B2-040 - Recorded lectures - Recorded plenary sessions - Python code
Fri Aug 21: 0800-0945, A1-040 Lecture 1: Linear systems and Gaussian elimination. Rank. [ME] 6.1, (6.2), 7.1 - 7.4, (7.5) Alternative: [E] Ch. 1 Problem set 1 - Solutions
Fri Aug 28: 0800-0945, A1-040 Lecture 2: Vectors and Linear Independence. Vector spaces. [ME] 10.1 - 10.3, (10.4 - 10.7), 11.1 Alternative: [E] Ch. 2 Problem set 2 - Solutions
Thu Sep 03: 1300-1445, A2-030 Lecture A: NumPy and NDarrays. Complex numbers. [PA] 4.1 - 4.8, [ME] A3.1 - A3.5 Alternative: [E] Ch. A.1 - A.3 Problem set A - Solutions
Fri Sep 04: 0800-0945, A1-040 Lecture 3: Matrices, 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 Problem set 3 - Solutions
Fri Sep 11: 0800-0945, A1-040 Lecture 4: Eigenvalues and eigenvectors. Diagonalization. Markov chains. [ME] 23.1 - 23.4, 23.6 -23.7, (23.9) Problem set 4 - Solutions
Mon Sep 14: 1700-1945, A1-040 Plenary Session 1: Problems from Lecture 1-4 Key Pb 1.3, 3.3c, 3.4b, 4.1cdf, 4.2de, 4.3, 4.4 [E] 1.9, 1.14, 2.4, 2.5, 2.6, 2.11, 2.14, 3.10, 3.11, 3.12b, 3.13, 3.14, 3.15 WB 4.4, 4.11, 4.12
Fri Sep 18: 0800-0945, A1-040 Lecture 5: Non-negative matrices. Definiteness of quadratic forms. [ME] 13.1 - 13.5, 16.1 - 16.4, 23.8, (Google's Pagerank algorithm) Problem set 5: Mon 21/09 at 17-19, C2-010/020/030
Fri Sep 25: 0800-0945, A1-040 Lecture 6: Unconstrained Optimization. [ME] 14.1 - 14.4, 14.8, 17.1 - 17.5, 30.1 Problem set 6: Mon 28/09 at 17-19, C2-010/020/030
Thu Oct 01: 1300-1445, B2-040 Lecture B: Non-negativ matrices and applications Problem set B: Mon 05/10 at 15-17, B2-040
Fri Oct 02: 0800-0945, A1-040 Lecture 7: Constrained Optimization. First Order Conditions. [ME] 18.1 - 18.7, (12.3 - 12.5), 21.1 Problem set 7
Mon Oct 05: 1700-1945, A1-040 Plenary Session 2: Problems from Lecture 5-6 + Midterm exam 10/2018 Key problems TBA [WB] TBA Midterm Exam TBA
Fri Oct 09: 0800-0945, A1-040 Lecture 8: Constrained Optimization. Second Order Conditions. [ME] 19.1, (19.4) Problem set 8: Mon 12/10 at 17-19, C2-010/020/030
Fri Oct 16: 0800-0945, A1-040 Lecture 9: Envelope Theorems. [ME] 19.2 - 19.3, (19.4 - 19.6), (Kelly Criterion) Problem set 9: Mon 19/10 at 17-19, C2-010/020/030
Oct 19 - Oct 26 Midterm exam Home exam (with programming in python)
Fri Oct 23: 0800-0945, A1-040 Lecture 10: First order differential equations. [ME] 24.1 - 24.2, (24.4 - 24.6) Problem set 10
Mon Oct 26: 1700-1945, A1-040 Plenary Session 3: Problems from Lecture 7-9 Key problems TBA [WB] TBA Final Exam TBA
Fri Oct 30: 0800-0945, C1-060 Lecture 11: Stability. Second order differential equations. [ME] 24.1 - 24.3, (24.4 - 24.6) Problem set 11: Mon 02/11 at 17-19, C2-010/020/030
Thu Nov 05: 1300-1445, B2-040 Lecture C: Optimal control theory. Problem set C: Mon 09/11 at 15-17, B2-040
Fri Nov 06: 0800-0945, A1-040 Lecture 12: Systems of differential equations. Difference equations. [ME] 23.2 Problem set 12: Mon 16/11 at 17-19, C2-010/020/030
Mon Nov 09: 1700-1945, A1-040 Plenary Session 4: Problems from Lecture 10-12 Key problems TBA [DE] TBA Final Exam TBA
Fri Nov 13: 0800-0945, A1-040 Lecture 13: Final exam 11/2019.
Fri Nov 20: 0800-0945, A1-040 Lecture 14: Review of important topics for the final exam.
Thu Nov 26: 0900-1200 Final exam

January 2020: Not confirmed Midterm exam (retake)
January 2020: Not confirmed Final exam (retake)