Math 310 Spring, 2013
Dept. of Mathematics Washington Univ.
Syllabus
for Math 310
Foundations for Higher Mathematics
Instructor:
Steven G. Krantz
e-mail
address: sk@math.wustl.edu
Office:
103, Cupples I
Office
Hour: MWF 12:00pm-1:00pm
Phone:
(314) 935-6712
Dept.
Office: 100 Cupples I
Dept.
Phone: (314) 935-6760
Home
Page: http://www.math.wustl.edu/~sk/math310.html
Course
Description: The purpose of this course is
to serve as a transition between
calculation-oriented courses
like calculus and differential equations and more
theoretical
courses like analysis and abstract algebra. Math 310
covers
logic, set theory, proofs, number systems, axiomatics, and
other aspects of mathematical rigor.
Group theory, non-Euclidean geometry, and basic
real
analysis are offered as illustrations of the ideas in the
course.
Textbook:
S. G. Krantz, The Elements of
Advanced Mathematics,
3rd edition, CRC Press, Boca Raton,
FL, 2002.
Elements
of the Course:
Homework: 20% of grade
Midterm Exam: (2 of these) each 20% of grade
Final Exam: 40% of grade
TOTAL: 100
The homework is an essential part of this course.
Each new idea
builds
on previous ideas, so it is essential to master and internalize each
one
when you encounter it. Be sure to do the homework in a regular and timely
fashion.
Be familiar with this Web page. This is where homework assignments will be posted, due dates will be posted, and also where exams and other course events will be announced.
First Homework Assignment
Chapter 1: #1bdf, 2bdf, 3dfh, 4bd, 5dfj, 6bd, 9def, 15bde, 11, 14b, 22, 24
Due Friday, January 25, 2013 in class.
Second Homework Assignment
Chapter 2: #1, 3, 9, 10, 12, 14, 17, 19, 20, 24, 25, 29
Due Monday, February 4, 2013 in class.
Third Homework Assignment
Chapter 3: 1bdf, 3bdf, 4b, 5bdf, 7, 8, 13, 16, 18bdfm, 19a, 21b, 27
Due Monday, February 11, 2013 in class.
The first Midterm Exam is currently scheduled for Wednesday, February 13. It will be in class. The exam will cover Chapters 1, 2, 3.
Fourth Homework Assignment
Chapter 4: #3, 5, 9bd, 10bdf, 11, 17, 19, 20bdfhl, 25bf, 38bdf, 42, 49
Due Wednesday, February 27, in class.
Fifth Homework Assignment
Chapter 5: 1, 4, 6, 7, 8, 9, 18, 22, 26, 27, 28ad
Due Wednesday, March 20, 2013 in class.
Sixth Homework Assignment
pages 166-173: #2, 4, 6, 10, 13, 17, 21, 23, 29, 33, 41, 49
Due Monday, April 1, 2013 in class.
The Second Midterm Exam will be on Friday, April 12, 2013 in class. There will be no calculators or computers, but you can bring a 3 x 5 card with notes to the exam.
Seventh Homework Assignment
pages 185-188: #1, 3, 5, 6, 9, 12, 16, 18, 26, 27
Due Wednesday, April 17, 2013 in class.
Eighth Homework Assignment (This is the last homework assignment for this class.)
pages 269-274: #1, 2, 4, 9, 12, 21
Due in class on Friday, April 26, 2013.
The Final Exam for this course is Monday, May 6 at 3:30pm in our usual meeting place (Brown Hall Room 118).
Office hours during dead week are
Tuesday, April 30, 1:00pm to 3:00pm.
Thursday, May 2, 2:00pm to 4:00pm.