BSU Math 333 (Differential Equations w/ Matrix Theory) -- Section 031, Summer 2011

Instructor: Shari Ultman
e-mail: shariultman@boisestate.edu
Office: Math/Geoscience Building, Room 236D
Office hours: MTuWTh 11:30--12:30, and by appointment.

My Weekly Schedule

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Syllabus

Calendar

Assignments: These problems are to be turned in for a grade.

Supplemental exercises: These exercises provide extra practice on the basic methods and concepts covered in a given section. You should complete as many as necessary to master the given technique. They will not be graded. Do not turn these in.

Keys to quizzes and exams

Basic derivatives and integrals

Basic table of Laplace transforms

Partial fraction decomposition

Exam 1 review (final version -- revised)

Exam 2 review (final version)

Final exam review (final version)



Links:

Slope Field Calculator: created by Marek Rychlik at the University of Arizona.



Announcements:

Sat 7/23: For problems #19, 20 in section 8.5, don't worry about Proposition 5.12. Just use the Wronskian to determine linear dependence/independence.
Tues 7/19: We are officially one day behind on the calendar. This means Thursday's quiz (and Assignment 10, due on Thursday) will be over sections 8.1 and 8.4 only. This means you should be able to determine whether or not a given vector of functions is a solution to a system of differential equations, you should be able to write a system of first order linear equations in matrix/vector form, you should be able to convert a higher-order equation into a system of first-order equations, and you should be able to analyze and set up a differential equation that models a multi-tank "mixing" problem (as discussed in class today). NB: you are not expected to be able to solve systems of equations, because we haven't yet discussed how to solve 'em.
As far as changes to the calendar: my plan is to cover sections 8.5, 9.1 and possibly part of 9.2 tomorrow (Wednesday) and finish section 9.2 on Thursday. Next week (Monday and possibly part of Tuesday) we'll look at either section 9.3 or 9.5 (or both).
Mon 7/18: The stats for the first two exams:


Sat 7/9: There's a typo in section 7.1 #30: should be "-2v_2 + 4v_3 + 5v_4", not "-2v_2 + 4v_3 + 5x_4".
Thurs 7/7: In class today, we did not get to an example of a system having no solutions. The example I would've used is here.
Wed 6/29: A few announcements: I have posted a revised version of the table of Laplace transforms. You may use this table for exams and quizzes; you are also allowed to add more entries to the table. Homework for section 5.5 (due next Thursday, 7/7) has been posted. In class tomorrow after the quiz, we will briefly discuss the Laplace transform of the Dirac delta function. The second half of class will be dedicated to questions and work on problems (since we didn't get to it today).
Mon 6/27: If you do not know how to do proof by induction, you may ignore part (c) of problem 11 in section 5.1. If you do know how to it, you should try it. (We don't want all that hard work you put into learning it to go to waste, do we?)
Mon 6/27: Regarding assignment 6: the material to which problems #27, 28, 31, 32, 34, 37 in section 5.2 correspond will be covered in tomorrow's class.
Mon 6/20: Evan Rust, the tutor from the College of Engineering who introduced himself earlier this semester, is available to meet with Math 333 students at BUSN 301 (the Business building, next to the Math/Geoscience building) on:
Mon 6/20: The section of the exam review concerning the methods for solving inhomogeneous second order linear equations has been (slightly) revised.
Sat 6/18: The final version of the review for the first exam has been posted.
Sat 6/18: The first part of the review for the first exam (covering first order equations) has been posted. The full review will be posted later today.
Thurs 6/16: Assignment 4 has been edited. Problems from section 4.4 will not be included in this assignment.
Sun 6/12: Assignment 2 has been edited. Problem #11 from section 2.5 has been dropped. The issue is that the integrating factor has a term for which you will not be able to find a closed-form antiderivative, and I do not know if everyone has access to a numerical solver (either a sufficiently advanced calculator or a computer program like Matlab). I do ask, however, that you read the problem and try to understand what the fundamental difference is between the flow rates r in problem #11 vs. that in problem #9.
Thurs 6/9: Tomorrow (Friday 10 June) is the last day to drop this class without a ``W'' appearing on your transcript.
Tues 6/7: ``Constants voodoo'' detailed here using the example from the end of today's class (motion with air resistance).
Mon 6/6: Information on tutoring is available here.
Sun 6/5: The course web-page is up and running. Let me know if there are problems with any of the links. Please look at the syllabus and calendar: you may want to bring a copy of the syllabus to class on Monday. Also, please bring an extra notebook and a marker (dark-colored, please) to class beginning Tuesday 6/7. This should be separate from the notebook you are using for class notes. I'll explain why on Monday.
Wed 5/11: Welcome to Math 333.