Advanced Modelling & Statistics Pre-work

Advanced Modelling & Statistics Pre-work#

These are short exercises (with worked solutions) to refresh the core mathematics and statistics ideas that show up repeatedly in modelling and advanced inference.

You will learn / refresh#

  • Functions, graphs, and transformations

  • Calculus (derivatives/integrals, Taylor series intuition)

  • Linear algebra basics (matrices, eigenvalues)

  • Differential equation intuition (equilibria, stability)

  • Probability and likelihood fundamentals

Prerequisites#

  • None required, but it’s most useful if you already know basic algebra.

Do this first#

  1. Work through the Exercises

  2. Use the Solutions to check your reasoning

When to use this#

  • Before the modelling chapters if you feel rusty.

  • Before maximum-likelihood / advanced inference chapters.

Contents