In which we think about where a complex power series converges.
Archive for the ‘IA Analysis I’ Category
Analysis I: Lecture 14
February 18, 2013Analysis I: Lecture 13
February 15, 2013In which we try to approximate functions by polynomials.
Analysis I: Lecture 12
February 13, 2013In which we study some implications of Rolle’s theorem and the Mean value theorem.
Analysis I: Lecture 11
February 11, 2013In which we meet some really important results about differentiable real-valued functions.
Analysis I: Lecture 10
February 8, 2013In which we learn what it means to say that a function is differentiable, and prove some basic properties of differentiation.
Analysis I: Lecture 9
February 6, 2013In which we study continuous functions further, looking at boundedness and inverses.
Analysis I: Lecture 8
February 4, 2013In which we consider continuous functions, Goldilocks, porridge, and the intermediate value theorem.
Analysis I: Lecture 7
February 1, 2013In which we meet the definition of continuity for functions.
Analysis I: Lecture 6
January 30, 2013In which we think about series that are convergent but not absolutely convergent.
Analysis I: Lecture 5
January 28, 2013In which we meet three really important tests for convergence.
Theorem of the week 