**Course schedule and assignments are here**.

**Homework policy: **To get credit, please do these
things on each homework.

a)Hand inin at the start of class on Tuesdays. Unless stated otherwise, homework is due on the first Tuesday that gives you 4 or more days to work on the HW. That is, homework associated with a Tuesday or Thursday lecture is due 5 or 7 days later, respectively. Late (1 minute or 2 months) homeworkwill beaccepted for reduced credit. More late, more reduction. Contact your grader to figure out how to turn in late homework.

b)On thefirst pageof your homework, please put the following to ease sorting:

On the top left corner

Please put a staple, e.g.:

On the top right corner

Neatly print your name, course, date, e.g.:Very good, even excellent, and .... more than needed (real example).

Sally Golnaraghi

MAE 4730 or 5730HW 1, Due date

c)As noted above, please,at home, put aStapleat the top left corner. Folded interlocked torn corners fall apart. Paperclips fall off.

d)Cite your help.At the top of each problem clearly acknowledge all help you got from TAs, faculty, students, oranyother source (with exceptions for lecture, text and section, which need not be cited). You could write, for example: "Mary Jones pointed out to me that I needed to draw the second FBD in problem 2." or "Nadia Chow showed me how to do problem 3 from start to finish." or "I copied this solution word for word from Jane Lewenstein " or "I found a problem just like this one, number 386.5.6, at cheatonyourhomework.com, and copied it." etc. You will not lose credit for getting and citing such help. Don't violate academic integrity rules:be clear about which parts of your presentation you did not do on your own.Violations of this policy are violations of the Cornell Code of Academic Integrity.

e)Every use of linear or angular momentum balance must be associated with a clear correctfree body diagram.Your

f)vector notationmust be clear and correct.Every line of every calculation should be

g)dimensionally correct(carry your units, read Appendix A of Ruina/Pratap book).Your work should be

h)laid out neatlyenough to be read by someone who does not know how to do the problem. Part of your job as an engineer will be toconvincinglyget the right answers. Your job on the homework is to practice this. Your goal should be "solutions quality". Each problem should start on a fresh page; a new problem should not start on the same page as the ending of another problem. A solution should be self-contained, including, for example, enough of a problem restatment so that a reader need not see the original problem statement. Box in your answers. Your solution should be clear and convincing enough so that another student (who has not done the problem and does not know how to do it) can read your solution, understand it, and judge that it is correct. Your solution may be selected for posting (without your name). If you do not want your solution posted, please say so on the top of each homework.

i)Some problems may seem likemake-workbecause you already know how to do them. If so, you can get 90% credit by writing in full "I can do this problem but don't feel I will gain from writing out the solution" or, in short, "Can do, don't want to." You can keep doing this unless/untill your grader/TA challenges your self-assessment.

j)Computer work should be well commented. Your name should be near the top of the computer text file. Before handing in, you should highlight (or circle with a colored pen) your name on the computer printout. At least some part of any other computer output should also include your name, printed by the computer. Highlight (or circle) your name on each page.

k)Grading and regrading.So long as you have made a good attempt at your first effort, you can get 90% credit by redoing a problem with 1 week of when it is returned to you.

l)Hold on to your homework.We may not record grades correctly as we go. At the end of the semester you we may ask you to hand in a folder of your completed HW.

**Study advice: **Try to do assigned homework problems from beginning to
end with no help from book, notes, solutions, people, etc., yourself without
looking up *even one small thing*. Explain, at least outloud to yourself,
every step. If you did need help, then afterwards start the problem over *by
yourself* without looking up even one small thing. Then similarly do other
problems that are like the assigned problems. Then do old prelims and exams.
Finally, for A+ style studying, invent and solve your own problems.

When doing a problem, and afterwards, please go down this check-list before handing in your work. If there is any small part of this that you do not understand, ask in class or in office hours.

**GENERAL**

Make it so that when you pick up your homework in 10 years you will, as easily as possible, understand the question, understand your answer, and believe your answer. That is your goal. All else is subservient to that.

**MATLAB**

**1. Derivations.** Show hand calculations for derivation of equations of motion. Or, equivalently, show clear computer algebra inputs and outputs.

**2**. **Print out.** Print and attach the entirety of the code you use. Well commented internally and

with additional hand-written annotations, as needed.

**3. Verify.** Show, by whatever combination of methods you have the ability and time for, the reasons you think your solution is correct. Some ideas:

a) matches an analytic solution.

b) A special case matches an analytic solutions.

c) Obeys one or another known and applicable symmetry or conservation law.

d) Matches intuitive trends.

Use figures and numerical values for these purposes.

**4.** **Answer the question.** Your work should show the answer clearly. Assume we *don't* trust you. Usually you want to use figures to show the result. And words. And, if appropriate, numbers.

**5. Label plots.** Each plot needs axis labeled and a title. In a pinch you can add these by hand.

**6.** **Axis equal. **If both axis represent physical position, unless you have good reason to do otherwise, use "axis equal". This way circles will look round, squares square, and trajectories will have the right shapes.

**7. Readable right hand side files.
**As a general rule your computer code should not be written in code. Rather, each line should be readable and checkable. In ODE problems always do the following.

**a. Use clear variables.** Unpack variables and constants into readable variables. No calculations should be done with, for example, z(4) and z(7). Using readable variables makes the code 100 times more readable and debuggable.

**b. Structs.** Pass parameters using structs. Namely p.m, p.G etc, not a list of variables.

**8. Don't throw in a random use of Euler's method. **If you are solving your ODEs with, say,

ODE45, also use ODE45 for your energy check by adding equations like \dot W = P to your list of ODEs.

**9. Black and white.** You can use color. But your plots need to make sense when printed in black and white. So use, say, thick red lines and thin blue lines.

**10. tspan. **Unless all you want is the solution at the final time, always use something like

tspan = linspace(0,10,1001) rather than tspan=(0,10). That way you get output at times you care about.

**11. Options. **Appropriately use these features of ODESET: 'reltol', 'abstol', 'events'.