SimLab Tutorials

Step-by-step guides with runnable code examples. Click any tutorial to learn, or open it directly in SimLab.

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Algorithms

Algorithms: Sort, Search & Find

Use built-in sort and find operations to organise data and locate elements efficiently.

beginner~6 min· 3 steps

Control Systems

Control System Design

Model a plant as a transfer function, analyse stability margins, use root locus, then tune a PID controller for a specified step response.

advanced~15 min· 4 steps

Curve Fitting

Curve Fitting Basics

Fit polynomials and exponential models to experimental data and assess goodness-of-fit.

beginner~8 min· 3 steps

Dynamic Programming

Dynamic Programming with Memoization

Solve overlapping-subproblem problems efficiently by storing intermediate results in arrays.

intermediate~8 min· 3 steps

Evolutionary & Swarm

Evolutionary & Swarm Optimization

Use derivative-free search (fminsearch) to optimise noisy or non-smooth objective functions.

intermediate~8 min· 3 steps

Linear Algebra

Linear Algebra Essentials

Solve linear systems, compute eigenvalues, and perform matrix decompositions.

beginner~8 min· 4 steps

Machine Learning

Machine Learning: Clustering & Regression

Apply k-means clustering to group unlabelled data, then use PCA to reduce dimensionality.

intermediate~10 min· 3 steps

Mathematical Programming

Linear & Integer Programming

Solve optimization problems with linprog and the Model builder API.

intermediate~10 min· 2 steps

Monte Carlo & Stochastic

Monte Carlo & Stochastic Simulation

Estimate pi, compute integrals, and run a random walk using random sampling techniques.

beginner~8 min· 3 steps

Numerical Methods

Numerical Methods: Roots, Interpolation & Integration

Find roots of nonlinear equations, interpolate scattered data, and compute definite integrals.

intermediate~10 min· 3 steps

PDE

PDEs via Finite Differences

Solve the 1D heat equation step-by-step using an explicit finite-difference scheme implemented with for-loops.

advanced~12 min· 3 steps

Signal Processing

Signal Analysis Workflow

Generate a noisy signal, analyze it with FFT, design a filter, and compare the cleaned result.

intermediate~10 min· 4 steps

Statistics

Statistics Fundamentals

Compute descriptive statistics, fit distributions, run hypothesis tests, and cluster data.

beginner~10 min· 4 steps

Symbolic

Symbolic Math Introduction

Create symbolic variables, differentiate, integrate, and solve equations.

intermediate~8 min· 3 steps

Coming Soon

Curve Fitting Workflow

Fit polynomials and custom models to experimental data, assess goodness-of-fit, and export results.

Core Math

Optimization Workflow

Formulate and solve a linear programming problem with the Model DSL, then extend it to mixed-integer.

Optimization & Modeling

ODE Solving Workflow

Solve a system of coupled ODEs (predator-prey), visualise the phase portrait, and vary parameters.

ODE Solvers

Animation Workflow

Create animated plots and 3D scenes to visualise dynamic systems in motion.

Plotting

Debugging Guide

Common error messages explained, how to inspect variables in the Workspace panel, and tracing bugs.

Quick Start

MATLAB Compatibility

Syntax parity, supported functions, function aliases, and known gaps. Most MATLAB scripts run unchanged.

MATLAB Compatibility

Coming from Python/NumPy

Map NumPy/SciPy idioms to SimLab equivalents — indexing, slicing, broadcasting, and plotting.

Quick Start

Performance Tips

Vectorisation over loops, pre-allocation, choosing the right solver, and reading benchmark output.

Quick Start

Try SimLab — MATLAB®-compatible, free, in your browser

466 functions. Runs in your browser. No install.

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