Where does it get stuck?
First we look for the source of the problem: calculation, overview, definitions, notation, proof structure or exam technique.
Mathematics, physics and STEM subjects
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 STEM 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.
From exercise to idea
A formula, physics question, linear map or limit should not only be formally correct; it should become imaginable.
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 STEM fields, clearly explained.
From secondary-school material to the mathematical layer of a STEM degree and a range of undergraduate courses. This is the core of my current scope; for advanced courses, we first agree on the relevant topics and level.
Secondary school
- Dutch Wiskunde B/D
- Physics
- Dutch
- English
First-year Mathematics and service courses
For Mathematics students and courses in programmes including Physics, Astronomy, Life Science & Technology and Biomedical Sciences.
- Analysis/Calculus 1, 2 and 3
- Linear Algebra 1 and 2
- Mathematical Structures
- Caleidoscoop
- Special Relativity
- Quantum Mechanics 1
Undergraduate Mathematics, by agreement
- Analysis 3 and 4
- Linear Algebra 2
- Algebra I and II
- Topology and algebraic topology
- Representation theory
- Set theory, logic and category theory
"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. 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.
- Education
- BSc Mathematics, Leiden University
- Education
- BSc Astronomy, Leiden University
- Experience
- Fourteen semesters as a teaching assistant for Calculus I, Mathematical Methods of Physics, Caleidoscoop, and Presentation & Communication. Also a first- and higher-year tutor, private mathematics tutor, and translator of a course syllabus.
Besides that
Practical help with everyday technology.
Mathematics remains the main subject. The same calm explanation can also help with digital devices and tools, especially when you want to understand what something does and why a particular setting works.
Getting started with AI
Learning to use ChatGPT or similar AI tools: asking useful questions, privacy, limitations, realistic expectations and calm practice.
Mac, video and files
macOS workflows, files, installing software, video formats, codecs, subtitles and export settings in practical language.
TV, picture and sound
Especially LG TVs: comparing models, picture and sound settings, connections, apps and a sensible home setup.
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.