Applied Math, Engineering, and Physics | UW-Madison

Jackson T. Lutz

Seeking what is true, building what is useful.

I'm an AMEP student interested in mathematics, electrical engineering, embedded systems, signal processing, and data science. This portfolio collects the projects, technical writing, and coursework-driven explorations that show how I learn, document, and build.

Current learning areas include MATLAB, embedded C, numerical methods, and signal processing. I'm especially interested in internship opportunities where careful math, clear communication, and practical engineering judgment matter.

University: UW-Madison
Program: AMEP, Class of 2029
GPA: 3.60
Focus: Signals, embedded systems, data

Selected technical work

Projects

Audio Localization System

Prototype planned

Embedded systems project concept using microphone arrays, time-delay estimation, and signal processing to estimate sound-source direction.

Embedded SystemsSignal ProcessingCLocalization

Math Vault

In development

A structured visual notebook for undergraduate mathematics, designed to connect handwritten notes, proofs, examples, and topic maps.

AnalysisDifferential EquationsDiscrete MathWriting

1000 Differential Equations

Active archive

A long-term archive of ordinary differential equations with analytical solutions, computational visualization, and selected Model Lab entries for interactive ODE interpretation. Hosted on this site!

Differential EquationsODEsModel LabMathematical Writing

View archive

General Projects / GitHub

A growing collection of code, experiments, notes, and technical projects.

CodeExperimentsNotesTechnical Projects

View GitHub

Tools and foundations

Skills

A focused snapshot of the technical areas I'm building through coursework, independent projects, and written problem solving.

Programming

Python
Embedded C
MATLAB
TypeScript

Math / engineering

Linear Algebra
Differential Equations
Numerical Methods
Signal Processing
Embedded Systems

Tools

GitHub
LaTeX
Obsidian
VS Code
PlatformIO

Hardware / lab

Microcontrollers
Circuit Fundamentals
Soldering
Technical Documentation

Notes and drafts

Writing

Technical communication is part of the work. This section collects math and engineering notes aimed at making difficult ideas easier to inspect, explain, and reuse.

An Introduction to Spectral Graph Theory

Drafting

A planned technical note focused on intuition, examples, and the bridge between graph structure and linear algebra.

How Smooth Waves Build Sharp Corners: Making Fourier Series Intuitive

Active

A square wave looks simple, but hidden inside is a carefully weighted stack of sine waves.

Click to see

Why Does Formal Logic Matter? An Introduction to Ignoring the Law of Excluded Middle

Drafting

A draft essay about constructive reasoning, foundations, and why precise assumptions matter outside a pure math classroom.

Human layer

Interests

Reading

Books are part of the notebook too: math, ideas, and whatever helps the world feel more legible.

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Bodybuilding

A steady practice in patience, consistency, and measurable progress.

Music

Listening, patterns, structure, texture. Signals show up everywhere once you start noticing.

Visual math content

Short visual explanations that make mathematical ideas easier to see, test, and remember.

Click to see more ->