What you will learn
Work confidently with fractions, powers and roots without reaching for a calculator at every step
Convert numbers between decimal, binary, octal and hexadecimal
Write results in engineering and scientific notation, the way it is done in technical work
Transform algebraic expressions, simplify algebraic fractions and apply special products
Solve logarithmic equations and rearrange formulas for any variable
Factor polynomials, including fourth-degree ones
Who this course is for
A student with gaps
The material starts at natural numbers, so you can go back to exactly the point where something slipped.
Exam candidates
Arithmetic and algebra underpin most exam problems. The revision lessons after each part let you check yourself without a textbook.
First-year students
If an engineering degree revealed gaps left by school, this is the shortest way to close them.
How to use the materials
Download a lesson
Every lesson is a short PDF with theory and worked examples. No account required.
Work through the examples
Cover the solution, solve it your own way, and only then compare. That is the part that makes it stick.
Practise on the board
Open PhiBoard and redo the problem yourself, with formulas, graphs and room to work at hand.
Materials
Open the lesson materials and start learning.
Frequently asked questions
Are the materials free?
Yes. Every lesson can be downloaded free of charge, with no account and no download limit.
What language are the materials in?
The notes are handwritten in English, while lesson titles and navigation follow the site language. Mathematical notation is the same in both.
In what order should I study?
Lessons run from the simplest to the hardest and are best taken in order. If arithmetic is solid, start at lesson 18, where algebra begins.
Is this enough to prepare for exams?
The course covers the foundation, arithmetic and algebra, that most problems rest on. It does not replace a full exam guide, but revision is far harder without it.