Course Content
- Our goal is a careful study of the notion of limit in calculus, particularly convergence of sequences and series.
Further subjects will include the Taylor series and applications
to series solutions of differential equations. These basic concepts are fundamental in all math and particularly so in
all areas of advanced analysis. We will pay particular attention to methods of proof and will even touch upon some fundamentals of math logic.
Our goal is to use the important study of limits, series, sequences, convergence as an entry step into mathematical reasoning. Both of these objectives are fndamental for this course.
Basic Course Information
Math 3283W is a 4 credit course. Here is the official mathematics department description of this course:
MATH 3283W - Sequences, Series, and Foundations: Writing Intensive 4.0 cr; Prereq-& [2243 or 2263 or 2373 or 2374]
Introduction to reasoning used in advanced mathematics courses. Logic, mathematical induction, real number system,
general/monotone/recursively defined sequences, convergence of infinite series/sequences, Taylor's series, power series with applications to differential equations, Newton's method.
Lecture: 010 LEC , 11:15 A.M. - 12:05 P.M. , M,W,F FraserH 101 , TCEASTBANK .
Instructor: Professor S.Sperber.
Email: sperber@math.umn.edu
Office: 457 Vincent Hall
Phone: 612-625-4374
Office Hours: Tuesday 2:00-3:00pm, Thursday 12:10-1:10pm
Textbook: ANALYSIS, with an Introduction to Proof (5th ed). Author:Steven Lay, Pearson
ISBN 10: 0-321-74747-X
ISBN 13: 978-0-321-74747-1
Recitation:
-011 DIS , 10:10 A.M. - 11:00 A.M. , Tu,Th (09/02/2014 - 12/10/2014) , VinH 113 , TCEASTBANK , Bridgland,Nicole M
-012 DIS , 10:10 A.M. - 11:00 A.M. , Tu,Th (09/02/2014 - 12/10/2014) , FordH B15 , TCEASTBANK , Sakalli,Sumeyra
-013 DIS , 11:15 A.M. - 12:05 P.M. , Tu,Th (09/02/2014 - 12/10/2014) , FordH 150 , TCEASTBANK , McConville,Thomas A
-014 DIS , 11:15 A.M. - 12:05 P.M. , Tu,Th (09/02/2014 - 12/10/2014) , VinH 113 , TCEASTBANK , Negaard,Shannon R
-015 DIS , 11:15 A.M. - 12:05 P.M. , Tu,Th (09/02/2014 - 12/10/2014) , VinH 6 , TCEASTBANK , Douvropoulos,Theodosios
Organization of Course and Grading Policy
There will be two mid-semester in-class
exams of 50 minute duration. Exam dates: September 30, and November4
There is also a (cumulative) final examination
which will be given 1:30 p.m.-3:30 p.m., Thursday, Dec. 18
Homework will be collected weekly, every Tuesday in recitation and some, if not all, of
your work on problems will be graded.
The final grade will
be determined according to the following guide:
mid-semester exams 40%
final 40%
homework and class participation 20%
Course Information