| Week | Topic | Lecturer | Lecture Notes Wednesday (Video Lectures, except for the first week) | Lecture Notes Fridays (Live in R5) | | Chapter in book |
| 2 | Integration: Substitution. Partial Integration | Elisabeth | Organization
Lecture 1 | Lecture 2 | | 7.1, 7.2 |
| 3 | Integration: Partial Fraction Decomposition | Elisabeth | Lecture 3: Slides on Partial Fraction Decomposition
Lecture 3: Video on Partial Fraction Decomposition | Lecture 4 | | 7.3 |
| 4 | Differential Equations: Pure-Time and Autonomous Differential Equations. Growth Models. | Elisabeth | Lecture 5: Slides on Differential Equations
Lecture 5: Video on Differential Equations | Lecture 6
Video Lecture 6 | | 8.1 |
| 5 | Differential Equations: Equilibria and Stability.
The Allee effect. Single Compartment Model. Systems of
Autonomous DE's | Elisabeth | Lecture 7.1: Slides on Logistic Equation
Lecture 7.1: Video on Logistic Equation
Lecture 7.2: Slides on Equilibrium and Stability
Lecture 7.2: Video on Equilibria and Stability | Lecture 8 | | 8.1, 8.2 |
| 6 | Linear Algebra: Linear Systems. Matrices. Matrix Operations. | Elisabeth | Lecture 9: Slides on Linear Systems
Lecture 9: Video on Linear Systems | Lecture 10 | | 9.1, 9.2 |
| 7 | Linear Algebra: Inverse Matrices. Determinants & Inverses of 3x3 Matrices. | Elisabeth | Lecture 11: Slides on Matrix Multiplication
Lecture 11: Video on Matrix Multiplication | No lecture! | | 9.2 |
| 8 | Linear Algebra: Inverse Matrices. Determinants & Inverses of 3x3 Matrices. | Elisabeth | Review Question: The Allee Effect (Video)
Review Question: The Allee effect (Slides with Handwritten Notes) | Lecture 12 | | 9.2 |
| 9 | Leslie Models. Linear Algebra: Vectors. Eigenvalues and Eigenvectors. | Swati | Lecture 13.1: Slides on Leslie Models
Lecture 13: Video on Leslie Models
Lecture 3.2: Slides on Vectors and Linear Maps
Lecture 3.2: Video on Vectors. Linear Maps | Lecture 14: Eigenvectors | | 9.2.5, 9.3 |
| 10 | Eigenvalues and Eigenvectors of Leslie matrices. Analytic Geometry | Swati | Lecture 15: Slides on Leslie Matrices Revisited
Lecture 15: Video on Leslie Matrices Revisited | Lecture 16: Analytic Geometry | | 9.3, 9.4 |
| 11 | Analytic Geometry. Multivariable Calculus | Swati | Lecture 17.1: Slides on Equations in Parametric Form
Lecture 17.1: Video on Equations in Parametric Form
Lecture 17.2: Slides on 3-dimensional Planes
Lecture 17.2: Video on 3-dimensional Planes
Video covering the content of Lecture 18 from 2021 by Markus Köbis: Introduksjon til flerdimensjonal Kalkulus | Lecture 18: Multivariable calculus | | 9.4, 10.1 |
| 12 | Multivariable Calculus: Partial Derivatives, Tangent Planes,
Linearisations | Swati | Lecture 19.1: Slides on Limits and Continuity
Lecture 19.1: Video on Limits and Continuity
Lecture 19.2: Slides on Partial Derivatives
Lecture 19.2: Video on Partial Derivatives | Lecture 20: Tangent Planes | | 10.2 - 10.4 |
| 13 | Easter Holidays |
| 14 | Chain Rule, Directional Derivatives, Properties of the gradient. Local and Global Extrema | Swati | Lecture 21.1: Slides on the Chain Rule
Lecture 21.1: Video on the Chain Rule
Lecture 21.2: Slides on Gradient and Directional Derivative
Lecture 21.2: Video on Gradient & Directional Derivative | Lecture 22: Minima and Maxima | | 10.5.3, 10.6.1 |
| 15 | Local & Global Extrema. Extrema under Constraints. Systems of Differential Equations | Swati | Lecture 23: Slides on Global Minima/Maxima
Lecture 23: Video on Global Minima/Maxima | Lecture 24: Extrema under constraints and System of differential equatio | | 10.6.2, 11.1 |
| 16 | Systems of Differential Equations. Revision | Swati | Lecture 25.1: Slides on Phase Plots
Lecture 25.1: Video on Phase Plots
Lecture 25.1: Slides on System of Differential Equations (Example)
Lecture 25.2: Video on System of Differential Equations (Example) | Revision | | 11.1 |