Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 4
Date Due: 8:00 AM, Thursday, the 22nd of October 2015
Mathematical proofs, like diamonds, are hard as well as clear, and will be
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 2
Date Due: 10:00 AM, Thursday, the 9th of October 2014
Investigation may be likened to the long months of pregnancy, and solving
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 4
Date Due: 10:00 AM, Thursday, the 23rd of October 2014
Mathematical proofs, like diamonds, are hard as well as clear, and will b
Honors Mathematics II
Functions of a Single Variable
Dr. Horst Hohberger
University of Michigan - Shanghai Jiaotong University
Joint Institute
Fall Term 2014
Dr. Hohberger (UM-SJTU JI)
Functions of a
Vv186 Honors Mathematics II
Sample Exercises for the First Midterm Exam
The following exercises are sample exercises of a diculty comparable to those found the rst
midterm exam. Most of these have bee
Vv186 Honors Mathematics 1
Sample Exercises for the First Midterm Exam - Solutions
Exercise 1.
i) Consider the set U R, where U = A B C with
A = cfw_x R : 0 < x 1,
B = cfw_x R : x = 2 1/n, n N \ cfw_0
Vv186 Honors Mathematics II
Sample Exercises for the Second Midterm Exam - Solutions
Exercise 1. Test the following series for convergence:
k+5
k=1
5k
,
k=1
3k k 2
5k
,
4k + 3k
k=1
k!
.
(3 Marks)
Solu
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 4
Date Due: 10:00 AM, Thursday, the 24th of October 2013
Mathematical proofs, like diamonds, are hard as well as clear, and will b
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 9
Date Due: 10:00 AM, Thursday, the 28th of November 2013
Trigonometry, so far as this, is most valuable to every man; there is sc
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 11
Date Due: 10:00 AM, Thursday, the 12th of December 2013
Mathematicians are like Frenchmen: whatever you say to them they transl
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 8
Date Due: 10:00 AM, Thursday, the 21st of November 2013
Logic moves in one direction, the direction of clarity, coherence and st
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 12
This assignment contains additional exercises for your own enjoyment. All
marks on this assignment are imaginary; they will not
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 3
Date Due: 10:00 AM, Thursday, the 17th of October 2013
Obvious is the most dangerous word in mathematics
Eric Temple Bell
Exerci
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 1
Date Due: 12:00 PM (noon), Sunday, the 29th of September 2013
Mathematics is learned by doing it, not by watching other people d
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 2
Date Due: 10:00 AM, Thursday, the 10th of October 2013
Investigation may be likened to the long months of pregnancy, and solving
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 1
Date Due: 10:00 PM, Tuesday, the 30th of September 2014
Mathematics is learned by doing it, not by watching other people do it.
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 3
Date Due: 10:00 AM, Thursday, the 16th of October 2014
Obvious is the most dangerous word in mathematics.
Eric Temple Bell
Exerc
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 10
Date Due: 10:00 AM, Thursday, the 4th of December 2014
I often say that when you can measure what you are speaking about, and
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 5
Date Due: 8:00 AM, Thursday, the 29th of October 2015
Mathematics is the part of physics where experiments are cheap.
V.I. Arnol
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 3
Date Due: 8:00 AM, Thursday, the 15th of October 2015
Obvious is the most dangerous word in mathematics.
Eric Temple Bell
Exerci
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 8
Date Due: 8:00 AM, Thursday, the 19th of November 2015
Logic moves in one direction, the direction of clarity, coherence and str
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 7
Date Due: 8:00 AM, Thursday, the 12th of November 2015
Until now the theory of innite series in general has been very badly grou
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 11
Date Due: 8:00 AM, Thursday, the 10th of December 2015
I often say that when you can measure what you are speaking about, and
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 9
Date Due: 8:00 AM, Thursday, the 26th of November 2015
Trigonometry, so far as this, is most valuable to every man; there is sca
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 12
Date Due: 8:00 AM, Tuesday, the 15th of December 2015
Doing mathematics is a long-term thing. [] Id describe it as like running
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 5
Date Due: 10:00 AM, Thursday, the 30th of October 2014
Mathematics is the part of physics where experiments are cheap.
V.I. Arno
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 6
Date Due: 10:00 AM, Thursday, the 6th of November 2014
There are no such things as applied sciences, only applications of scienc
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 7
Date Due: 10:00 AM, Thursday, the 13th of November 2014
Until now the theory of innite series in general has been very badly gro
Vv186 Honors Mathematics II
Functions of a Single Variable
Assignment 9
Date Due: 10:00 AM, Thursday, the 27th of November 2014
Trigonometry, so far as this, is most valuable to every man; there is sc