Math 315-Advanced Calculus I
Spring  2017, Section 1
 David Singman

Office: Exploratory Hall, Room 4203
Telephone: 703-993-1476
Office Hours: T Th 10:30-11:45am
Mail: dsingman@gmu.edu

Web address: http://math.gmu.edu/~dsingman.html
Time of class: T,TH 12:00-1:15pm
Location of class: RobA, room 123

Class Tests: Test 1: Thursday  March 2;  Test 2: Thursday April 13
Final Exam:   Thursday May 11, 10:30am-1:15pm


Updates: (March 26) I've reposted Homework 11.  There was some confusion as to the way the cosine function was written in number 1.

(March 25) I've posted Homework 11, due on Tuesday.  Since Homework 10 wasn't done very well, question 1 on Homework 11 is similar in spirit to Homework 10.  So before doing Homework 11, be sure that you understand my solution to Homework 10 (and why possibly what you wrote may not have been correct or maybe not easily justified). 

(March 24) I've posted the notes for yesterday's class.  That includes the comments on Homework 9 and the notes and proofs from 2.3 on properties of continuous functions.  Check back tomorrow as I expect to post a new homework due on Tuesday.


(March 21) I've posted today's lecture notes.


(March 21) I've posted my solution for Homework 9 and also Homework 10, which is due on Thursday.

(March 17) Ok, it's time to get back to work.  I've posted Homework 9, due on Tuesday.  Also, please look closely at my solution of Homework 8.  Several of you really did poorly on this homework and showed very little understanding of the concepts of covers, open covers, and the depth of the Heine-Borel theorem.  I didn't put a lot of detail in my solution, but please work through it and see if you can get a better understanding of what is involved.

(March 8) There's something I'd like you all to think about concerning the order that statements appear in complicated definitions.  To see it, click on the following link:

something to think about . We can discuss it in class tomorrow.


Practice problems    These are problems from the text which you should work on.

Graded Homework   These are problems to be turned in for credit.  There should be no discussion or help from anyone else in doing these homework problems.

Lectures Outlines and Class Notes  Here you will find the outline of my lectures and scans of the lecture notes.  You should read the appropriate lecture outlines in advance of the corresponding lecture and start thinking about the ideas introduced.  You should also make an effort to fill in the gaps left in the lecture outlines.  In this way you will get much more out of the lectures.

Quizzes and Tests   Here you will find copies of  the quizzes and tests given in class.

Syllabus  The syllabus for the course can be found here. It lists test grading policies and other information about the course.