Applied Mathematical Methods (ECS323)
This course is intended to give you a flavour of the kind of scientific problems we encounter in the geosciences, and the mathematical approaches that we use to model and solve these problems.
The lectures will be added to the below list, and you can view them as and when they are uploaded.
Instructions for viewing lectures
On clicking the link for any lecture, you will be directed to a reveal.js presentation. At the bottom of the screen, you will find a play button. Press play, sit back and let the magic of modern web technologies unfold!
If you want to start the audio from some slide in the middle, just navigate to that slide (using arrow keys or the space bar), and then press play. This is useful if you want to revisit some part of the lecture skipping other parts.
- Lecture 1: Introduction and Analytical Framework for modelling
- Lecture 2: Analytical Framework and Course Structure
- Lecture 3: Linear Algebra
- Lecture 4: Linear Algebra: Vector Spaces
- Lecture 5: Orthogonality
- Lecture 6: Linear Transformations
- Lecture 7: Eigenvalues, Eigenvectors and Diagonalization
- Lecture 8: SVD and applications
- Lecture 9: Differential Equations: Orientation
- Lecture 10: Differential Equations: Refresher
- Lecture 11: Differential Equations: Qualitative Analysis
- Lecture 12: Differential Equations: Qualitative Analysis
- Lecture 13: Differential Equations: Higher Order Equations
- Lecture 14: Differential Equations: Qualitative Analysis (2nd order DEs)
- Lecture 15: Differential Equations: Wrapup
- Lecture 16: Differential Equations: Snowball Earth
- Lecture 17: Differential Equations: PDEs: Preliminaries
- Lecture 18: Differential Equations: Filtering Equations
- Lecture 19: Differential Equations: Asymptotic Analysis
- Lecture 20: Differential Equations: Wave Equation
- Lecture 21: Probability and Statistics: Overview
- Lecture 22: Probability and Statistics: Discrete Case
- Lecture 23: Probability and Statistics: Continuous Case
- Lecture 24: Probability and Statistics: Estimation
- Lecture 25: Probability and Statistics: Hypothesis Testing
- Lecture 26: Probability and Statistics: Hypothesis Testing - 2
- Lecture 27: Probability and Statistics: Hypothesis Testing - 3