Math 310, Fall, 2020
Dept. of Mathematics, Washington Univ.
Syllabus
for Math 310
Foundations for Higher Mathematics
Instructor:
Steven G. Krantz
Classroom:
The course will be taught OnLine only. No classroom.
e-mail
address: sk@math.wustl.edu
Office:
103, Cupples I
Office
Hour: Monday, Wednesday, Friday from 2:00pm to 4:00pm,
either by email or phone (510-875-8972).
Phone:
(510) 875-8972
Dept.
Office: 100, Cupples I
Dept.
Phone: (314) 935-6760
Course 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,
4th edition, CRC Press, Boca Raton,
FL, 2017.
Elements
of the Course:
Homework: 25% of grade
Midterm Exam: (2 of these) each 25% of grade
Final Exam: 25% 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. Homework should
be written out on 8.5" x 11" paper and submitted
on time. It will be graded. We will
use the CrowdMark system for submitting
homework. What you will
do then is scan your homework and submit it OnLine.
When a homework assignemnt is formulated,
CrowdMark will let you know
and tell you how to submit..
Be familiar with this Web page. This is where homework assignments will be
posted, homework
solutions posted, exam solutions posted, due dates will be posted,
and also where exams and other course events
and information
will be announced.
We will decide when our midterm exams will be.
If there are particular days when you do not want an exam (for a religious
holiday or other reason), please let me know.
FIRST HOMEWORK ASSIGNMENT due Wednesday, September 30 at 1:59am.
Chapter 1
1. acg
2. bdf
4. bdf
5. bdf
6. bd
10. bdf
14. bdf
22.
SECOND HOMEWORK ASSIGNMENT due Tuesday, October 13 at 1:59am.
Chapter 2
1, 3, 12, 13, 17, 20, 24, 28, 34, 35, 37, 42, 44
THIRD HOMEWORK ASSIGNMENT due Friday, October 23 at 11:59pm.
Chapter 3
1bcf, 2, 3bdf, 5bdf, 7, 10, 11, 13, 16, 18aefin
FOURTH HOMEWORK ASSIGNMENT due Friday, Monday, November 9 at 11:59pm.
Chapter 4
1, 3, 9bdf, 10bdfh, 11, 17, 18, 19, 20acfhil, 24, 28, 34, 42, 47
FIFTH HOMEWORK ASSIGNMENT due Friday, November 20 at 11:59pm.
Chapter 5
#1, 4, 7, 8, 17, 18, 22, 25, 27
Chapter 6
#1, 3, 4, 5, 6, 9
SIXTH HOMEWORK ASSIGNMENT due Wednesday, December 2 at 11:59pm.
Chapter 6
#11, 15, 17, 23, 27, 29, 40, 43, 45
SEVENTH AND LAST HOMEWORK ASSIGNMENT Friday, December 11 at 11:59pm.
Chapter 7
#1, 2, 3, 9, 11, 16, 19, 21
Chapter 8
#2, 4, 17 (extra credit), 21