Mathematics, physics and science-heavy courses

Jos van der Spek

Some people learn a trick. I try to help you understand why it works.

For pupils and students: from Dutch Wiskunde B/D, physics and exam preparation to service mathematics in science-heavy degrees and the first abstract university mathematics courses. Calm, precise and without false understanding.

abstract notation Make it clear

Can you think in four dimensions? The small panels first show how a sphere passes through a lower-dimensional space; the cross-section grows according to the same radius law.

Approach

From getting stuck to getting a grip.

1

Where does it get stuck?

First we look for the source of the problem: calculation, overview, definitions, notation, proof structure or exam technique.

2

From exercise to idea

A formula, physics question, linear map or limit should not only be formally correct; it should become imaginable.

3

Solving new problems yourself

The goal is not just to copy an example, but to see which definition, formula or strategy fits a new exercise.

Subjects and levels

Mathematics and science subjects without the fog.

The question can be very practical: a test, exam, chapter or set of exercises. My strong side is explaining the mathematical layer seriously, also when it is hidden inside another science-heavy subject.

Secondary school

Dutch Wiskunde B/D, physics, exam preparation and rebuilding basic skills and overview.

Service mathematics

Calculus, linear algebra, probability theory, differential equations, networks and modelling for non-mathematics students.

University

For students in physics, biomedical sciences, Life Science & Technology, Molecular Science & Technology, chemical engineering, computer science and related programmes.

Deeper topics by agreement

Linear algebra, analysis, logic, set theory, group theory, ring theory, topology and some differential geometry, honestly within my current reach.

"From exam exercise to Algebra I: first the words and symbols have to become clear."

That is why the explanation can stay practical while still taking the underlying ideas seriously.

Profile

Substantive, enthusiastic and personal.

My background is in mathematics, astronomy and theoretical physics, with BSc degrees in Mathematics and Astronomy at Leiden University, plus experience as a teaching assistant, in presentation and communication, and in individual tutoring. I like helping people cross a mathematical threshold: an exam chapter, an abstract course or a technical argument that suddenly feels like too much at once.

Jos writing near the top of a chalkboard full of abstract algebra
Abstract notation becomes readable once you calmly see what each arrow and definition is doing.
BSc Mathematics, Leiden University BSc Astronomy, Leiden University Wiskunde B/D, exam preparation and philosophy Logic, set theory and abstract reasoning

Besides that

Also help with technical thresholds.

Mathematics is the main thing. But the same calm explanation can also help with practical digital questions, especially when you want to understand what a tool is actually doing.

AI onboarding

Getting started with ChatGPT or similar AI tools: prompting, privacy, realistic expectations and calm practice.

Mac and media

macOS workflows, files, installing software, video formats, codecs, subtitles and export settings in practical language.

Language and argumentation

English, Dutch or philosophy by agreement, especially where reading, precise formulation and reasoning are central.

Contact

Send a short note about where you are stuck or what you want to know more about.

Mention your programme, subject or topic, and where it feels rough: calculation, definition, proof, notation, exam technique, settings, files or overview. Then we can see together how and where tutoring may be useful.