May 6th:
Scores from the final exam have been tabulated and letter grades posted. The average score for the final across all sections was 132 and the average for the 8a class was 145. It's been a pleasure teaching you DEs and have a wonderful summer.
April 29th:
The solutions to the
final from Spring 2009 are posted
here (hand-written) and
here (Latex).
April 28th:
Here's a nice review sheet that Ashely put together - definitely worth looking over
here.
April 25th:
Today we worked through the
Spring 2010 final exam. Each group has posted their
Student solutions and here is a link to the
solutions posted with the final.
April 14th:
Scores for exam 3 have been posted. The section 010 average and std deviation were 71.53 and 17.69, the corresponding statistics over all sections were 67.72 and 17.08.
April 5th:
Note well that while in lecture I collapsed the results from the end of section 5.3 into the corresponding material for section 6.1 material from the end of sec 5.3 is fair game for the exam (see examples 9 and 10 as well as the boxed material on properties of linear homogenous DEs with distinct eigenvalues).
April 1st:
The shortly awaited
DE to system notes.
March 30th:
The long awaited
Variation of Parameters example.
Note that the final boxed section is the general solution and not conceptual work - I always like to put the final answer in a box to help the graders.
March 16th:
The example problem from the end of Monday's lecture can be found
here. Notice that since f(t) is linearly dependent on the homogeneous solution y_h(t) that the expression for the particular solution y_p(t) has been multiplied by t.
March 10th:
Grades have been posted for exam 2 - I'll be handing back the test booklets in class tomorrow. The section 010 average was 73.7% and the
average over all sections was 70%.
Average score by problem was 13, 16, 15, 12, 17 for problems 1, 2, 3, 4 and 5, respectively.
February 16th:
I've tabulated the average scores necessary for exams 2 and 3 and the final to get a C and C- exam average given certain scores for exam 1.
70% on exam 1 => 70% average on other exams to pass (75% for Aerospace)
60% on exam 1 => 72.5% average on other exams to pass (77.5% for Aerospace)
50% on exam 1 => 75% average on other exams to pass (80% for Aerospace)
Keep this in mind as the last day to withdraw (without petitioning the Dean's Office) is 2/23 - before withdrawing it is always recommended to consult with the Dean's Office.
Also, if you would like your exam 1 back please email me or visit me during office hours.
For students not enrolled in 2460 and unversed in Matlab I recommend working through the APPM2460 worksheets
here.
February 6th:
I will be out of town this week - in lieu of my usual office hours I will be answering questions over email. If I think that the other students can benefit from my response I'll post a version here.
Save yourself a couple of points on the exam by correctly applying
logarithm
and
exponential properties - here's an example from a
previous
exam (Fall 2010 problem 1a).
solution pt 1
solution pt 2.
A few tips for the exam:
· If you have extra time double-check your work (check your integrals by differentiating them, check your solutions to DEs by plugging them back into the DE).
· Decide on your strategy for solving a problem before applying your method. Is the problem separable? Linear non-homogenous?
· Refresh yourself on basic integration techniques (integration by parts and u-substitution especially).
· Be sure you can integrate and differentiate simple functions (polynomials, rational functions, exponentials, logarithms and trigonometric functions).
???END
· Remember the properties of logarithms and integrals - if you have a separation of variables problem that isn't a linear homogenous DE (i.e. y' + p(t)y = 0) then the solution may have the constant of integration placed differently than you are used to. An example of a DE for which this hold true is y' = -2ty^2. Find the general solution of the DE to see what I mean.
· Exams after this one will be potentially much more difficult - getting a high score on this exam may be the difference between a B or C in the overall course grade or failing due to the Engineering School requirement that engineers get a C- average on the exams (C average for aerospace engineers).
February 3rd:
Exam 1 (section 010) will be 7-8:30p 2/9 at HALE 230 (
map)
February 2nd:
Review sessions for the exam will be held by Michael and Josh on next Monday and Tuesday, respectively.
See the "Exams" tab on the webpage for more information.
January 31th:
The PPLANE java plotter I mentioned in lecture today can be found at the same
location as the DFIELD plotter linked to below (1/18/11).
Old exams (including solutions) can be
found
here.
Study hard for this exam as the later exams will be progressively more difficult
and a
few extra points from this first exam may well make the difference between
passing the course with a B and not passing due to the clause
in the syllabus
(a C-* average on exams is required to pass this course - any lower than that and no credit will be awarded).
* Aerospace engineers are required to maintain a C average on exams to pass the course.
January 25th:
Lab project 1 has been posted
here - note that the lab projects are required for all students (even those not signed up for lab courses). Group
work is highly encouraged - students not signed up for a lab should look to work with students that are. Please limit group size to two or
three students.
January 18th:
Handy direction field plotting tool (click on DFIELD 2005.10 button)
http://math.rice.edu/~dfield/dfpp.html
