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Calculus 1

Calculus 1 asks for a rigour school never demanded: definitions used precisely, proofs to reconstruct, exercises that look nothing like the ones seen in class. We work on the language before the computation.

First-year universityMaths

How it works

How it works

Length
90 minutes
Where
In person · Online
Format
One-to-one · Small group
Language
Italiano · English

Syllabus

Syllabus

Sequences and limits

  • Sequences
  • Limits of functions
  • Continuity
  • Key theorems

Differential calculus

  • Derivatives
  • Mean value theorems
  • Curve sketching
  • Taylor series

Integral calculus

  • Indefinite integrals
  • Definite integrals
  • Improper integrals

Series and differential equations

  • Numerical series
  • Convergence tests
  • First and second order equations

What you will be able to do

What you will be able to do

  • Use definitions with the precision the exam demands
  • Reconstruct a proof rather than recall it
  • Recognise the right method for an integral you have never seen

The first meeting is free.

It is there to work out where to actually start. If I do not think I can help, I will say so.

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