In which we consider links between series and integrals.
Archive for the ‘IA Analysis I’ Category
Analysis I: Lecture 24
March 13, 2013Analysis I: Lecture 23
March 11, 2013In which we prove another form of Taylor’s theorem.
Analysis I: Lecture 22
March 8, 2013In which we meet another family of integrable functions, and study the connection between differentiation and integration.
Analysis I: Lecture 21
March 6, 2013In which we study further properties of the integral, and find a large class of functions that are integrable.
Analysis I: Lecture 20
March 4, 2013In which we study some basic properties of the integral.
Analysis I: Lecture 19
March 1, 2013In which we define integration.
Analysis I: Lecture 18
February 27, 2013In which we define the standard trigonometric and hyperbolic functions and check their properties.
Analysis I: Lecture 17
February 25, 2013In which we define some standard functions and check that they behave as we expect.
Analysis I: Lecture 16
February 22, 2013In which we study the differentiability of power series and define a new function.
Analysis I: Lecture 15
February 20, 2013In which we study the radius of convergence of a complex power series.
Theorem of the week 