Mathematical Models

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Building on the SIR Model (Coursera)

Mar 25th 2024
Building on the SIR Model (Coursera)
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The other two courses in this specialisation require you to perform deterministic modelling - in other words, the epidemic outcome is predictable as all parameters are fully known. However, this course delves into the many cases – especially in the early stages of an epidemic – where chance events [...]

Developing the SIR Model (Coursera)

Compartmental modelling is a cornerstone of mathematical modelling of infectious diseases and this course will introduce some of the basic concepts in building compartmental models, including how to interpret and represent rates, durations and proportions. You'll learn to place the [...]

Interventions and Calibration (Coursera)

Mar 25th 2024
Interventions and Calibration (Coursera)
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This course covers approaches for modelling treatment of infectious disease, as well as for modelling vaccination. Building on the SIR model, you will learn how to incorporate additional compartments to represent the effects of interventions, such the effect of vaccination in reducing susceptibility. You will learn about ‘leaky’ vaccines [...]

Practical Time Series Analysis (Coursera)

Many of us are "accidental" data analysts. We trained in the sciences, business, or engineering and then found ourselves confronted with data for which we have no formal analytic training. This course is designed for people with some technical competencies who would like more than a "cookbook" approach, [...]

Basic Modeling for Discrete Optimization (Coursera)

Optimization is a common form of decision making, and is ubiquitous in our society. Its applications range from solving Sudoku puzzles to arranging seating in a wedding banquet. The same technology can schedule planes and their crews, coordinate the production of steel, and organize the transportation of iron [...]

Observation Theory: Estimating the Unknown (edX)

Learn how to estimate parameters from observational data for real-world engineering applications and assess the quality of the results. Are you an engineer, scientist or technician? Are you dealing with measurements or big data, but are you unsure about how to proceed? This is the course that teaches you [...]

Calculus Applied! (edX)

Apply tools of single-variable calculus to create and analyze mathematical models used by real practitioners in social, life, and physical sciences. In this course, we go beyond the calculus textbook, working with practitioners in social, life and physical sciences to understand how calculus and mathematical models play a role [...]

The Introduction to Quantum Computing (Coursera)

"Quantum Computing" is among those terms that are widely discussed but often poorly understood. The reasons of this state of affairs may be numerous, but possibly the most significant among them is that it is a relatively new scientific area, and it's clear interpretations are not yet widely spread. [...]

Quantum Computing. Less Formulas - More Understanding (Coursera)

This is yet one more introductory course on quantum computing. Here I concentrate more on how the mathematical model of quantum computing grows out from physics and experiment, while omitting most of the formulas (when possible) and rigorous proofs.

Combinatorics: Strategies and Methods for Counting (FutureLearn)

May 31st 2021
Combinatorics: Strategies and Methods for Counting (FutureLearn)
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Explore the wonderful world of combinatorics with this course exploring simple and efficient ways to count. See combinatorics made simple and how to avoid errors in counting principles. Combinatorics is an area of mathematics primarily concerned with counting. Combinatorial problems arise in many areas of pure mathematics, notably in [...]