Mathematics is a fundamental prerequisite for Physics. Itâ€™s the language, or foundation of physics. Physics is useless without mathematics and would cover all aspects of mathematics.
It also depends on what model or what specific type of theory or hypothesis is the focus. Generally, Calculus often used, however a person shouldnâ€™t rely on only one skill set of mathematics as physics itself is considered the fundamental science.
Some other mathematics used is Abstract algebra, functional analysis, Probability and statistics, and geometry.
Work begins with the maths and then progresses to Ontology, without the math this process would be impossible in physics.
Maths is used as a solution to find a physical meaning. This is done by proposing a mathematical model of a physical thing or situation which hopes to explain the processes and offer some insight into that particular subject matter.
The maths contains hypothesis and only needs to be logically consistent and true. The physics is when this becomes a theory, thus we cannot progress to a theory (theoretical physics) without maths.
If there were some basic math skill that a person should follow in order to study physics, they should develop a range of proficiencies that look something like this:
Solving single variables
The metric systems and measurements