Framdriftsplan
Uke | Tema | Bok Kapittel | Forelesningsvideoer og notater | Oppgaver og løsningsforslag |
---|---|---|---|---|
2 | Integration with Substitution. Partial Integration. | Chapters 7.1, 7.2 | Lecture 12.01 Video 12.01 Lecture 14.01 Video 14.01 | Exercise 1 |
3 | Partial Fraction Decomposition. Differential Equations (Pure-Time and Autonomous Differential Equations) | Chapters 7.3, 8.1 | Lecture 19.01 Video 19.01 Lecture 21.01 Video 21.01 | Exercise 2 |
4 | Growth Models. Equilibria and Stability. The Allee effect. | Chapters 8.1, 8.2 | Lecture 26.01 Video 26.01 Lecture 28.01 Video 28.01 | Exercise 3 |
5 | Single Compartment Model. Systems of Autonomous DE's. Linear Systems. | Chapters 8.2, 8.3, 9.1 | Lecture 02.02 Video 02.02 Lecture 04.02 Video 04.02 | Exercise 4 |
6 | Matrices. Matrix Operations Inverse Matrices. Determinants. | Chapter 9.2 | Lecture 09.02 Video 09.02 Lecture 11.02 Video 11.02 | Exercise 5 |
7 | Determinants & Inverses of 3x3 Matrices. Leslie models. | Chapter 9.2 Determinanter 3x3 | Lecture 16.02 Video 16.02 Lecture 18.02 Video 18.02 | Exercise 6 |
8 | Eigenvalues and Eigenvectors. | Chapter 9.3 | Lecture 23.02 Video 23.02 Lecture 25.02 Video 25.02 | Exercise 7 |
9 | Eigenvalues and Eigenvectors of Leslie matrices. Analytic Geometry | Chapters 9.2.5, 9.3.3 Chapter 9.4 | Lecture 2.03 Video 02.03 Lecture 04.03 Video 04.03 | Exercise 8 |
10 | Multivariable Calculus | Chapters 10.1, 10.2 | Lecture 09.03 Video 09.03 Lecture 11.03 Video 11.03 | Exercise 9 |
11 | Partial Derivatives, Tangent Planes, Linearisations, Chain Rule. (not p. 529, 538) | Chapters 10.3, 10.4 and 10.5 | Lecture 16.03 Video 16.03 Lecture 18.03 Video 18.03 | Exercise 10 |
12 | Directional Derivatives, Properties of the gradient. Local and Global Extrema. | Chapters 10.5.3, 10.6 (not pages 550-554) | Lecture 23.03 Video 23.03 Lecture 25.03 Video 25.03 | Exercise 11 |
13 | Local & Global Extrema. Extrema under Constraints. Systems of Differential Equations | Chapters 10.6.2, 11.1 (no 11.1.3) | Lecture 06.04 Video 06.04 Lecture 08.04 Video 08.04 | Exercise 12 |
14 | Revision | Lecture 13.04 Video 13.04 Lecture 15.04 Video 15.04 | ||
15 | Revision | Lecture 20.04 Video 20.04 Lecture 22.04 Video 22.04 |