Advanced Calculus I

  • Syllabus
  • Practice exams
  • Course announcements
  • Class notes

    • Exams


    Lectures:

  • Lecture on the set N of natural numbers (Section 1 in Ross):   Lecture   Video 1 Video 2  
  • Lecture on the set Q of rational numbers (Section 2 in Ross):   Lecture   Video  
  • Lectures on the set R of rational numbers (Section 3 in Ross):   Lecture 1   Lecture 2   Video 1   Video 2   Video 3   Video 4  
  • Lectures on completeness axiom (Section 4 in Ross):   Lecture 1   Lecture 2   Lecture 3   Video 1   Video 2   Video 3  
  • Lectures on unbounded sets (Section 5 in Ross):   Lecture   Video 1   Video 2  
  • Lectures on the definition of a sequence (Section 7 in Ross):   Lecture   Video 1  
  • Lectures on proofs of convergence (Section 8 in Ross):   Lecture   Video 1   Video 2  
  • Lectures on properties of limits (Section 9 in Ross):   Lecture   Video 1   Video 2   Video 3   Video 4   Video 5   Video 6   Video 7  
  • Lectures on monotone sequences (Section 10 in Ross):   Lecture   Video 1   Video 2   Video 3   Video 4   Video 5   Video 6   Video 7  
  • Lectures on proofs of convergence (Section 11 in Ross):   Lecture   Video 1   Video 2   Video 3   Video 4   Video 5  
  • Lectures on limsup and liminf (Section 12 in Ross):   Lecture   Video 1  
  • Lectures on series (Section 14 in Ross)   Lecture   Video 1   Video 2   Video 3   Video 4  
  • Lectures on Integral and Alternating Series tests (Section 15 in Ross):   Lecture I   Lecture II   Video 1   Video 2  

    • Homework assignments:

  • Assignment 1
  • Assignment 2
  • Assignment 3
  • Assignment 4
  • Assignment 5
  • Assignment 6


    •  

    Dmitry Golovaty (dmitry at uakron dot edu)