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Differential Equations with Line
Differential Equations with Linear Algebra for Engineering
OFFICE HOURS:
Tuesdays and Wednesdays: 1:354:25pm
Other times : Drop in or by appointment
TEXT: Edwards and Penney, Differential Equations and Linear Algebra  A
Custom Edition for Northeastern
University (with a bundled lab packet)
HOMEWORK AND QUIZZES: Homework will be assigned daily, but will not be
collected. To make sure that
students are keeping up with the homework, there will be a quiz at the beginning
of class each Thursday (except
for the weeks of the midstterm exams). Each quiz will consist of 13 problems
taken verbatim from the homework
assignments from the previous week . Homework questions from the immediately
preceding class will not be on each
Thursday's quiz.
The problems in this course tend to be long and involved, although not usually
outrageously difficult. We will
not be able to go over all homework problems in class, and even those that we do
go over may not get worked out
to the bitter end. Therefore, if you have a lot of questions on the homework, it
will be essential for you to come to
my office hours or make special appointments to see me.
MIDSTTERMS AND FINAL EXAMS: There will be two midstterm exams, and a final
exam in this course.
The midstterm exams are 65minute inclass exams; they will be on Thursday,
Feb. 5 and Thursday, March 12. The
final exam is date is to be determined. Check for exam schedule conflicts as
soon as possible.
COMPUTER LABS: There will be four required computer labs. These are an
essential component of the course:
some important concepts will be introduced and explored, both visually and
numerically . Late labs will not be
accepted. The packet of labs should have been bundled with your textbook, and is
also available on the Web. It is
expected that students will work on the labs together; however, the writeups of
the labs MUST be done separately.
The Mathematics Dept . Computer Lab is in 553 Lake Hall; the DIFFS package for
MATLAB is on the computers
there.
SNOW DAYS: If classes are cancelled due to snow, or for other official
reasons, any scheduled quiz, midstterm
exam, or collection of a computer lab assignment will occur on the next class
meeting.
GRADING: The course grade will be determined as follows
•Final exam: 40%
•Midstterm exams: 30% (15% each).
•Computer labs: 4% (1% each).
•Quizzes: 26%. I will drop your worst two quiz grades.
NOTES: On the midstterm exams and on the final exam, you may use one 8.5
*11 in. sheet of notes. You may
not have a sheet of notes for the quizzes.
ADDITIONAL RESOURCES : In addition to office hours the Mathematics Department
Tutoring Center is in
Room 540B, Nightingale Hall. Tutoring should begin there two weeks after the
start of classes. The tentative schedule
is 10am9pm on Mondays, Tuesdays, and Wednesdays; 10am6pm on Thursdays; and
10am1pm on Fridays. This is
walkin tutoring; no appointment is necessary.
ISSUES WITH THE COURSE/INSTRUCTOR: If you have issues with this course and/or
instructor which
you are not comfortable discussing with your instructor, you should contact the
Chair of the Mathematics Depart
ment, Prof. McOwen: 505 Lake Hall, 6173735635
Homework for MTH U343:
Spring 2009
Week 1: Jan. 59:
•Separable Equations. Section 1.4 (review): #3, 4, 11, 12, 20
•Begin Lab 2, exercises 1 and 2.
•1st Order Linear Equations. Section 1.5: #3, 5, 13, 20, 37
•Homogeneous and Bernoulli Equations. Section 1.6: #3, 7, 21, 22
Week 2: Jan. 1216:
•Turn in Lab 2, exercises 1 and 2, on Wednesday, Jan. 14.
•Begin Lab 3, exercises 1, 2, 3, and 4.
•Population Models. Section 2.1: #10, 11, 13, 24
•Equilibrium Solutions and Stability . Section 2.2: #1, 4, 7, 9 (no explicit
solutions)
•VelocityAcceleration Models. Section 2.3: #15, 9
Week 3: Jan. 1923:
Monday, Jan. 19: Martin Luther King Jr. Day  no classes
Tuesday, Jan. 20: Last day to le a final exam conflict form.
•Turn in Lab 3, exercises 1, 2, 3, and 4, on Wednesday, Jan. 21.
•2nd Order Linear Equations . Section 5.1: #1, 9, 11. Section 5.2: discussion.
Section 5.3: #1, 3, 5, 7, 21, 23.
Friday, Jan. 23: Last day to drop without a "W".
Week 4: Jan. 26Jan. 30:
•Mechanical Vibrations. Section 5.4: #1, 3, 15, 17, 20
•Begin Lab 5, exercises 1, 2, and 3.
•Nonhomogeneous Equations and Undetermined Coefficients . Section 5.5: #1, 2, 3,
9, 13, 31, 32
Week 5: Feb. 26:
•Forced Oscillations and Resonance. Section 5.6: #2, 8, 19, 23
•Midstterm exam 1: Thursday, Feb. 5
Week 6: Feb. 913:
•Laplace Transforms and Inverse Transforms. Section 10.1: #1, 3, 7, 9, 13, 15, 16
•Transformation of Initial Value Problems . Section 10.2: # 1, 3, 5, 7, 9, 10
•Translation and Partial Fractions. Section 10.3: # 11, 13, 15, 17, 29
•Turn in Lab 5, exercises 1, 2, and 3, on Thursday, Feb. 12.
Week 7: Feb. 1620:
Monday, Feb. 16: President's Day  no classes
•Derivatives and Products of Transforms . Section 10.4: # 1, 2, 7, 8, 15, 16, 29
(hard)
•Piecewise Continuous Input Functions. Section 10.5: # 1, 3, 11, 12, 13, 33
Week 8: Feb. 2327:
•Impulses and Delta Functions. Section 10.6: # 1,
2, 4, 5
•Introduction to Linear Systems . Section 3.1: discussion
•Matrices and Gaussian Elimination . Section 3.2: # 1, 11, 15, 20
Feb. 28  March 8: Spring Break
Week 9: March 913:
•Reduced RowEchelon Matrices. Section 3.3: # 58
• Matrix Operations . Section 3.4: 1, 9, 10, 19
•Begin Lab 4, exercises 1, 2, and 3.
•Midstterm exam 2: Thursday, March 12
Week 10: March 1620:
•Inverses of Matrices. Section 3.5: # 1, 7, 9, 19, 23
•Determinants. Section 3.6: # 1, 3, 5, 33
•Turn in Lab 4, exercises 1, 2, and 3, on Wednesday, March 18.
•The Vector Space R^{3}. Section 4.1: # 1, 5, 11, 17
Week 11: March 2327:
•The Vector Space R^{n} and Subspaces. Section 4.2: #1, 4, 5, 7, 12
•Linear Combinations and Independence of Vectors. Section 4.3: # 11, 13, 15
Friday, March 27: Last day to drop a class with a \W" grade
Week 12: March 30April 3:
•Bases and Dimension for Vector Spaces. Section 4.4: # 1, 4, 7, 15, 19
•Introduction to Eigenvalues. Section 6.1: # 1, 3, 9, 13, 17
Week 13: April 610:
•1st Order Systems. Section 7.1: # 1, 3
•Matrices and Linear Systems . Section 7.2: # 35
•The Eigenvalue Method for Linear Systems. Section 7.3: # 1, 5, 11, 17
Week 14: April 1314:
•Review
Wednesday, April 15: Reading Day
Final Exams: April 1617
Monday, April 20: Patriot's Day  no exams
Final Exams: April 2124
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