Corinageorgiou

These notes combine theoretical explanations with practical Python examples, making it easy to understand key numerical methods and how to implement them. Topics covered: • Python basics and scientific libraries (NumPy, Matplotlib) • Root-finding algorithms (bisection, Newton-Raphson) • Numerical integration (trapezoidal rule, Simpson’s rule) • Solving differential equations (Euler’s method) • Interpolation and curve fitting • Error analysis and stability • App...

Topics covered: • Discrete and continuous random variables • Probability distributions (Binomial, Poisson, Normal, etc.) • Expectation, variance, and moments • Law of Large Numbers and Central Limit Theorem • Monte Carlo simulation • Generating random variables in R • Visualisation and interpretation of results in R

This bundle contains modules from university of glasgow , mathematics . Differential equations ,mathematical methods,

High-quality, concise notes from Semester 1 of Complex Analysis, created during my second year at Newcastle University. These notes are structured for clarity, combining lecture content, worked examples, and key theorems with intuitive explanations. Perfect for exam prep or filling in any gaps from lectures. Topics covered: • Complex numbers and functions • Limits, continuity, and differentiability • Cauchy-Riemann equations • Analytic and harmonic functions • Complex inte...

Detailed and easy-to-follow notes from Semester 1 of Linear Algebra, taken during my second year at Newcastle University. These notes are based on lectures, tutorials, and recommended material, making them a great resource for both revision and day-to-day studying. Clear explanations, step-by-step examples, and all key concepts included. Topics covered: • Vector spaces and subspaces • Linear independence and spanning sets • Basis, dimension, and coordinates • Linear maps and i...

Theorems and lemmas for autonomous initial value problems

Summary for Calculus Redux and Linear initial value problems in Rn

A good summary for chapter 4with theorems and lemmas involved.Some proofs are also involved for a better understanding.