Math 310, Spring, 2020

Dept. of Mathematics, Washington Univ.


Syllabus for Math 310 

Foundations for Higher Mathematics

Instructor: Steven G. Krantz

Classroom: TBA

e-mail address:

Office: 103, Cupples I

Office Hour: Monday, Wednesday, Friday from 10:30am to 11:30am.

Phone: (314) 935-6712

Dept. Office: 100, Cupples I

Dept. Phone: (314) 935-6760

Course Home Page:


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: 20% of grade

Midterm Exam: (3 of these) each 15% of grade

Final Exam: 35% 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..


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. They will be in class. 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 Monday, January 27 in class.

pages 26-33

1. acg

2. bdf

4. bdf

5. bdf

6. bd

10. bdf

14. bdf


Solutions to Homework 1

SECOND HOMEWORK ASSIGNMENT due Monday, Friday, February 7 in class.

pages 60-65

1, 3, 12, 13, 17, 20, 24, 28, 34, 35, 37, 42, 44

Solutions to Homework 2

Practice Exam for Midterm 1

Solutions to Practice Exam for Midterm 1