MAT 513 Syllabus Analysis for Teachers I Spring 2013

The revised schedule for topics covered in lecture is as follows. You must do the assigned reading prior to lecture. This will make the lectures more effective for you.

• January 28
  Section 10, Natural Numbers and Induction.
  
• January 30
  Section 11, Ordered Fields.
  Diagnostic Quiz.
  
• February 4
  Section 12, The Completeness Axiom.
  
• February 6
  Section 13, Topology of the Reals.
  Quiz 1.
  Problem Set 1 due in lecture.
  
• February 11
  Class Canceled due to Weather
  
• February 13
  Section 13, Topology of the Reals. No Quiz This Week.
  No Problem Set Due This Week.
• February 18
  Section 14, Compact Sets.
  
• February 20
  Section 16, Convergence.
  Quiz 2.
  Problem Set 2 due in lecture.
  
• February 25
  Section 17, Limit Theorems.
  
• February 27
  Section 18, Monotone Sequences and Cauchy Sequences.
  Quiz 3.
  Problem Set 3 due in lecture.
  
• March 4
  Section 19, Subsequences.
  
• March 6
  Section 20, Limits of Functions.
  Quiz 4.
  Problem Set 4 due in lecture.
  
• March 11
  MIDTERM REVIEW
  
• March 13
  MIDTERM
  
• March 25
  Section 21, Continuous Functions.
  
• March 27
  Section 22, Properties of Continuous Functions.
  Quiz 5.
  Problem Set 5 due in lecture.
  
• April 1
  Section 23, Uniform Continuity.
  
• April 3
  Section 25, The Derivative.
  Quiz 6.
  Problem Set 6 due in lecture.
  
• April 8
  Review of Calculus
  
• April 10
  Review of Calculus.
  Quiz 7
  Problem Set 7 due in lecture.
  
• April 15
  Review of Calculus, TERM PAPER TOPICS DUE
  
• April 17
  Section 26, The Mean Value Theorem.
  Quiz 8
  Problem Set 8 due in lecture.
  
• April 22
  Section 27, L'Hospital's Rule.
  
• April 24
  Section 28, Taylor's Theorem.
  Quiz 9.
  Problem Set 9 due in lecture.
  
• April 29
  Section 32, Convergence of Infinite Series.
  
• May 1
  Section 33, Convergence Tests.
  Quiz 10.
  Problem Set 10 due in lecture.
  
• May 6
  Sections 34, Power Series.
  
• May 8
  FINAL REVIEW
  

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