Math notes / Calculus and analysis
| This is more for overview of my own than for teaching or exercise.
From a wider perspective
Precalculus, when it is a thing, refers to secondary school coursework given to students with technical interests, to give them a thorough review of algebra and trigonometry, and of concepts that turn up in many (applied) technical fields, such as exponents, logarithms, complex numbers, vectors, trigonometric functions, and also things like conic sections, analytic geometry.
Calculus studies limits, derivatives, integrals, infinite series, and such. Alternatively, any calculation guided by the symbolic manipulation of expressions (e.g. propositional calculus, predicate calculus, relational calculus, lambda calculus, etc.). Usually taught in technical university studies.
Analysis is rooted in calculus, and sometimes considered a specific part of it. Analysis focuses more on the uses of limits (of sequences and of functions), differentiation, integration and measure, infinite series, and analytic functions, certain types of approximation, and often for both real numbered and complex numbered spaces/variables.