Math 331-6:
Spring 2014
Instructor
: Hongkun Zhang
Office :
1340 LGRT
Phone :
545-2871
E-Mail :
hongkun <at> math.umass.edu
Homepage:
http://www.math.umass.edu/~hongkun/teach-331-14.html
It will be updated regularly. Check it often for information about quizzes,
homework and exams!
Class Meeting : TuTh 11:15 AM - 12:30 PM LGRT 121
Office
Hours
Thursday. 1-2
pm
Teaching
Assistants:
They will be holding office hours and recitations that are open to students in
all sections, their office hours will be updated soon. This will occur in the
late afternoons on most days of the week at times and location TBA.
Students can obtain assistance with coursework during scheduled hours. An
appointment is not needed. The course TA's will also be scheduling review
sessions prior to each exam.
(1)
Monday, 3:30-5:00pm, LGRC A301 -- Haitian;
Monday, 5-6:30, LGRT 121-- Kostis ;
(2) Tuesday, 5-6:30pm, LGRC 171 -- Joy;
(3) Wednesday, 4-5:30pm, LGRC A301 --Joy;
(4)
Thursday, 5-6:30pm, LGRT A203 -- Haitian;
(5) Friday, 3-4:30, LGRC A301 -- Kostis.
Prerequisites
for this course:
Calculus I,II.
That is, a thorough knowledge and understanding of differential and integral
calculus in one variable; some acquaintance with the basic notions of physical
science, for the purposes of motivating and applying differential equations;
Calculus III (multi-variable) and Linear Algebra are helpful, but not required.
Topics
covered in this course:
Chapter 1: 1.1-1.5
Chapter 2: All sections except 2.3
and 2.5.
Chapter 4: 4.0-4.4. Sections 4.5 and
4.6 are optional
Chapter 6: All sections in 6.1-6.4.
Spring 2014 |
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Last
Class: Apr 30
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Text : Advanced Engineering Mathematics, 10th Edition
by Erwin Kreyszig, ISBN 978-0-470-45836-5, August
2011, 2011 Hardcover, 1280 pages, US $244.95
(required)
Grading : There is a final exam worth
3/8 of the grade and one midterm exam worth 2/8 of the grade.
Homework will be assigned
weekly, see below. Although they will not be collected weekly for grading
correctness, but you need to turn in all of your homework on the day of the
midterm exam and before final exam. You will get a score for each of these two
collection of homework. Complete homework will count 1/8 of the grade!
Online homework on Webwork will also be assigned weekly and will be graded
online. Quizzes will be given occasionally without advanced notice;
the problems in the quiz are very similar to those in assigned homework.
The grades for the homework on Webwork and the
quizzes will count 2/8 of the total grade.
It is VERY important to do homework.
Webwork: You can login your account on Webwork from
here
Your user name is the
words in your Umass email address before @,
Your password is your
student ID number. Please make sure you change your password once you login
your account.
Scales for
letter grades:
A : 93 A-: 90 B+: 85 B
: 83 B-: 80 C+: 75 C : 73
C-: 70 D+: 65 D : 63 F :
<60
Exam
schedule :
There will one midterm exam and one final exam. The material covered in the
first midterm will be announced in time. The final exam will cover mostly the
material of the second half of the semester.
Other
policies:
Makeup exams: you must notify me
sufficiently in advance if you have a conflict with an evening exam or the
final with another exam or if you're unable to take an exam due to illness or
due to an emergency. I may require that you provide documentation for the
absence.
LDSS
accommodations:
If you require extended time on exams due to a disability, it is your
responsibility to contact your LDSS liason to make
arrangements.
Weekly
Schedule: Homework
You need
to turn in all of your homework on the day of the midterm exam and before final
exam. You will get a score for each of these two collections of homework. Complete homework will count 1/8 of the
grade!
(1) When you do these homework, make
sure that you write problems on each section using exactly one single page (you
can use the back of the page if it is not enough).
(2) But you can NOT write the
homework from two sections on one page, if so then they will only be counted
for one section.
(3) Label clearly on the top right
of each page the section of the problems, and label the problems that you have
done.
(4) Remember these two collections
of HW problem sets will count 1/8 of your total grades. Late homework will NOT
be graded and counted into your grades.
Homework PART I.
Section
1.1:
3, 4, 9;
Section 1.2: 3, 5, 7;
Section 1.3: 2, 3, 5, 15, 12;
Section 1.4: 1, 2, 3, 5, 12;
Section
1.5: 3, 4, 12;
Additional
homework for Chapter 1. Write a summary for Chapter 1, by answering the
following questions: (1) What you have learned in this chapter? (2) What kind
of ODE can you solve using methods learned in this Chapter? List at least 3.
(Hint: You can look at the summary page on page 44-45).
Remark: Make
sure you understand completely the example 5,6,7 in Section 1.3, at least one
of them are likely to be in the mid-term exam( with slightly changes)!
Section 2.1 : 3, 4
Section 2.2 : 1, 2, 7, 11, 16, 21, 23, 25,
Remark: You
need to turn in above HWs on the day of midterm exam!
PART II Due on the day of final exam (bring it with you):
Section 2.4 : 2, 4,
Section 2.6 : 5, 9, 13
Section 2.7 : 1, 3, 5, 11, 12
Section 2.8 : 3, 16
Additional
homework for Chapter 2. Write a summary for Chapter 2, by answering the
following questions: (1) What you have learned in this chapter? (2) What kind
of ODEs can you solve using methods learned in this Chapter? List them all.
(Hint: You can look at the summary page on page 103-104).
Section
4.1 : 1, 2, 10, 11, 13
Section 4.3 : 1, 3, 6, 11, 13, 15, 18
Section
4.4 : 1, 3, 5, 11
Additional
homework for Chapter 4. Write a summary for Chapter 4, by answering the
following questions: (1) What you have learned in this chapter? (2) What kind
of systems can you solve using methods learned in this Chapter? List all 5
types of critical points, how do you identify them? Draw the trajectories near
these critical points. Make sure you understand completely the example 1-6 in
Section 4.3, at least two of them are likely to be in the final exam ( with
slightly changes)!
Section 6.1 : 1, 3, 4, 7, 25, 31, 33
Section 6.2 : 1, 3, 5, 7, 23, 25
Section
6.3 : 3,12,18
Remember you
need to turn in the second part of the above problems on the day of final exam
(you need to bring them to your exam).