
MAT 513 Syllabus
Analysis for Teachers I
Spring 2016

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 26
Section 3.1, Natural Numbers and Induction.
 January 28
Section 3.2, Ordered Fields.
 February 2
Section 3.3, The Completeness Axiom.
 February 4
Section 3.4, Topology of the Reals.
Problem Set 1
due in lecture. Practice for Exam 1.
 February 9
Section 3.4, Topology of the Reals.
 February 11
EXAM 1
No Problem Set Due This Week.
 February 16
Discussion of Exam 1. More about topology of the reals.
 February 18
Section 3.5, Compact Sets.
Problem Set 2
due in lecture.
 February 23
Section 4.1, Convergence.
 February 25
Section 4.2, Limit Theorems.
Problem Set 3
due in lecture.
 March 1
Section 4.3, Monotone Sequences and Cauchy Sequences.
Section 4.4, Subsequences.
 March 3
Section 5.1, Limits of Functions.
Problem Set 4
due in lecture. Practice for Exam 2.
 March 8
Section 5.2, Continuous Functions.
Section 5.3, Properties of Continuous Functions.
 March 10
EXAM 2
No Problem Set Due This Week.
 March 22
Section 5.4, Uniform Continuity.
 March 24
Section 6.1, The Derivative.
Problem Set 5
due in lecture.
 March 29
Review of Calculus
 March 31
Review of Calculus
Problem Set 6
due in lecture.
 April 5
Section 6.2, The Mean Value Theorem.
 April 7
Section 6.3, L'Hospital's Rule.
Problem Set 7
due in lecture.
 April 12
Section 6.4, Taylor's Theorem.
TERM PAPER TOPICS DUE
 April 14
Section 7.1, The Riemann Integral.
Problem Set 8
due in lecture. Practice for Exam 3.
 April 19
Section 7.3, The Fundamental Theorem of Calculus.
 April 21
EXAM 3
No Problem Set Due This Week.
 April 26
Section 8.1, Convergence of Infinite Series.
 April 28
Section 8.2 and 8.3, Convergence Tests and Power Series.
Problem Set 9
due in lecture.
 May 3
FINAL REVIEW
 May 5
FINAL REVIEW
Problem Set 10
due in lecture.
TERM PAPERS DUE.
Back to my home page.
Jason Starr
4108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 117943651
Phone: 6316328270
Fax: 6316327631
Jason Starr