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