| Week | Topic | Lecture Notes | Exercise | Chapter in book |
| 2 | Integration: Substitution. Partial Integration | Slides Organization
Lecture 1
Lecture 2 | Norsk: Øving 1, English: Exercise 1 | 7.1, 7.2 |
| 3 | Integration: Partial Fraction Decomposition | Lecture 3: Slides on Partial Fraction Decomposition
Lecture 3: Video on Partial Fraction Decomposition
Lecture 4 | Norsk: Øving 2, English: Exercise 2 | 7.3 |
| 4 | Differential Equations: Pure-Time and Autonomous Differential Equations. Growth Models. | Lecture 5: Slides on Differential Equations
Lecture 5: Video on Differential Equations
Lecture 6
Video Lecture 6 | Norsk: Øving 3, English: Exercise 3 | 8.1 |
| 5 | Differential Equations: Equilibria and Stability.
The Allee effect. Single Compartment Model. Systems of
Autonomous DE's | 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 | Norsk: Øving 4, English: Exercise 4 | 8.1, 8.2 |
| 6 | Linear Algebra: Linear Systems. Matrices. Matrix Operations. | Lecture 9: Slides on Linear Systems
Lecture 9: Video on Linear Systems
Lecture 10 | Norsk: Øving 5, English: Exercise 5 | 9.1, 9.2 |
| 7 | Linear Algebra: Inverse Matrices. Determinants & Inverses of 3x3 Matrices. | Lecture 11: Slides on Matrix Multiplication
Lecture 11: Video on Matrix Multiplication
Lecture 12 | Norsk: Øving 6, English: Exercise 6 | 9.2 |
| 8 | Linear Algebra: Leslie models. Eigenvalues and Eigenvectors | | Norsk: Øving 7, English: Exercise 7 | |
| 9 | Leslie Models. Linear Algebra: Vectors. Eigenvalues and Eigenvectors. | 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 | Norsk: Øving 8, English: Exercise 8 | 9.2.5, 9.3 |
| 10 | Eigenvalues and Eigenvectors of Leslie matrices. Analytic Geometry | Lecture 15: Slides on Leslie Matrices Revisited
Lecture 15: Video on Leslie Matrices Revisited
Lecture 16
Video Lecture 16 | Norsk: Øving 9, Engelsk: Exercise 9 | 9.3, 9.4 |
| 11 | Analytic Geometry. Multivariable Calculus | 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
Lecture 18
Video covering the content of Lecture 18 from last year by Markus Köbis: Introduksjon til flerdimensjonal Kalkulus | Norsk: Øving 10, English: Exercise 10 | 9.4, 10.1 |
| 12 | Multivariable Calculus: Partial Derivatives, Tangent Planes,
Linearisations | 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 | Norsk: Øving11, English: Exercise 11 | 10.2 - 10.4 |
| 13 | Chain Rule, Directional Derivatives, Properties of the gradient. Local and Global Extrema | 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 | Norsk: Øving 12, English: Exercise 12 | |
| 14 | Easter Holidays |
| 15 | Local & Global Extrema. Extrema under Constraints. Systems of Differential Equations | Lecture 23: Slides on Global Minima/Maxima
Lecture 23: Video on Global Minima/Maxima
Lecture 24
Direction Fields | Norsk: Øving 13, English: Exercise 13 | |
| 16 | Systems of Differential Equations. Revision | 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)
Lecture 26: Previous Exam - Revision
Lecture 26 - with handwritten notes | Norsk: Øving 14, English: Exercise 14 | |