Math 310, Fall, 2018

Dept. of Mathematics, Washington Univ.

 

Syllabus for Math 310    

Foundations for Higher Mathematics

Instructor: Steven G. Krantz

Classroom: Busch 100

e-mail address: sk@math.wustl.edu

Office: 103, Cupples I

Office Hour: MWF, 2:00pm-3:00pm.

Phone: (314) 935-6712

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: (3 of these) each 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..

 

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.


FIRST HOMEWORK ASSIGNMENT


Due Monday, September 10 in class.


pages 26-33, # 1bd, 2bf, 3bd, 4df, 5bf, 6bd, 9bd, 10bf, 13bf, 17


SECOND HOMEWORK ASSIGNMENT


Due Friday, September 21 in class.


pages 60-65, # 3, 6, 9, 10, 14, 20, 22, 24, 28, 31, 34, 35, 37


Solutions to Homework 1




The first midterm exam will be on Monday, October 1, 2018. It will be in class: from 1:00pm to 2:00pm in Busch 100. You may bring a pencil and 4 x 6 card with notes. No calculators or computers.


Solutions to First Midterm




THIRD HOMEWORK ASSIGNMENT


Due Monday, October 8 in class.


pages 79-83, #1efg, 3bd, 4a, 5bd, 7, 9, 11, 12, 15, 18bdfk, 26


Solutions to Homework 2




All Exercises from the Text




Solutions to Practice Midterm from Spring, 2013




Here is our plan of action for the next few days:


Friday, September 28: Review for exam in class


Monday, October 1: First Midterm Exam in class


Wednesday, October 3: No class


Friday, October 5: Class as usual


FOURTH HOMEWORK ASSIGNMENT


Due Monday, October 22 in class.


pages 119-127, #1, 3, 5, 9ace, 10ace, 11, 17, 18, 20abefhm, 25abe


Solutions to Homework 3




Solutions to Homework 4




FIFTH HOMEWORK ASSIGNMENT


Due Friday, November 2 in class.


pages 146-149, #1, 4, 6, 7, 16, 18, 21, 23, 27, 28ade


SIXTH HOMEWORK ASSIGNMENT


Due Monday, November 12 in class.


pages 198-207, #1, 3, 4, 6, 9, 11, 15, 17, 21, 29, 31, 33, 43, 53


Solutions to Midterm 2




Solutions to Homework 5




Solutions to Homework 6




Practice Exam for Midterm 2




Solutions to Practice Exam for Midterm 2




SEVENTH HOMEWORK ASSIGNMENT


Due Monday, December 3 in class.


pages 220-223, #1, 2, 5, 6, 9, 12, 16, 19, 21, 26


Solutions to Homework 7




Solutions to Midterm 3




Practice Exam for Midterm 3




Solutions to Practice Exam for Midterm 3