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 Math 310 Lecture, 09-14-2020




Second Math 310 Lecture, 09-16-2020




Audio for Second Math 310 Lecture, 09-16-2020




Third Math 310 Lecture, 09-18-2020




Audio for Third Math 310 Lecture, 09-18-2020




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.


Fourth Math 310 Lecture, 09-21-2020




Audio for Fourth Math 310 Lecture, 09-21-2020




Fifth Math 310 Lecture, 09-23-2020



Audio for Fifth Math 310 Lecture, 09-23-2020




Sixth Math 310 Lecture, 09-25-2020




Audio for Sixth Math 310 Lecture, 09-25-2020




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


Seventh Math 310 Lecture, 09-28-2020




Audio for Seventh Math 310 Lecture, 09-28-2020




Eighth Math 310 Lecture, 09-30-2020




Audio for Eighth Math 310 Lecture, 09-30-2020




Ninth Math 310 Lecture, 10-02-2020




Audio for Ninth Math 310 Lecture, 10-02-2020




Solutions to Homework 1




Practice Exam for Midterm 1




Solutions to Practice Exam for Midterm 1




Tenth Math 310 Lecture, 10-05-2020




Audio for Tenth Math 310 Lecture, 10-05-2020




Eleventh Math 310 Lecture, 10-07-2020




Audio for Eleventh Math 310 Lecture, 10-07-2020




Twelfth Math 310 Lecture, 10-09-2020




Audio for Twelfth Math 310 Lecture, 10-09-2020




THIRD HOMEWORK ASSIGNMENT due Friday, October 23 at 11:59pm.


Chapter 3


1bcf, 2, 3bdf, 5bdf, 7, 10, 11, 13, 16, 18aefin


Thirteenth Math 310 Lecture, 10-12-2020




Audio for Thirteenth Math 310 Lecture, 10-12-2020




Fourteenth Math 310 Lecture, 10-14-2020




Audio for Fourteenth Math 310 Lecture, 10-14-2020




Fifteenth Math 310 Lecture, 10-16-2020




Audio for Fifteenth Math 310 Lecture, 10-16-2020




Sixteenth Math 310 Lecture, 10-19-2020




Audio for Sixteenth Math 310 Lecture, 10-19-2020




Seventeenth Math 310 Lecture, 10-21-2020




Audio for Seventeenth Math 310 Lecture, 10-21-2020




Eighteenth Math 310 Lecture, 10-23-2020




Audio for Eighteenth Math 310 Lecture, 10-23-2020




Nineteenth Math 310 Lecture, 10-26-2020




Audio for Nineteenth Math 310 Lecture, 10-26-2020




Twentieth Math 310 Lecture, 10-28-2020




Audio for Twentieth Math 310 Lecture, 10-28-2020




Twenty-First Math 310 Lecture, 10-30-2020




Audio for Twenty-First Math 310 Lecture, 10-30-2020




Solutions to Second Homework




Solutions to Third Homework




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


Twenty-Second Math 310 Lecture, 11-02-2020




Twenty-Third Math 310 Lecture, 11-04-2020




Twenty-Fourth Math 310 Lecture, 11-06-2020