
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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Jason Starr
4108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 117943651
Phone: 6316328270
Fax: 6316327631
Jason Starr