Homework: Fall 2009, Math 371 (Finotti)

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General Guidelines 

Keep this in mind when writing up your homework solutions -- it IS as important for learning math to practice explaining your solutions as it is finding them!  Mathematics is a language.

**On  written homework, quizzes, and exams, solutions need to be well written and explained in order to obtain credit, answers only are not accepted. 

**The purpose of the homework sets are for you to work through the understanding of the material and see what it is you do and do not understand so that you can fine tune your understanding from there -- please keep this viewpoint in mind when working through problems. 

**Educational research shows that studying and learning in peer groups often leads to better comprehension of the material.  Get to know your classmates and form study groups. 

**The other side of the coin is that just as beneficial to your learning is time spent grappling with the material alone.  Always do your final homework writeups on your own, and feel free to reach for help when you need it.  This helps you to know what it is that you really do or don't understand

** The equivalent goes for computer assignments.  Any code that is turned in is to be your own work - no part of another students code is allowed to be used in your own.  You can, however, talk to other students in the class in order to verify output or for help debugging, but whatever you turn in must be your own work.  And remember, just like writing, everyone has their own coding style. 

**If you are suspected of plagerism (think solution manual), you will get a zero for the homework set, and will be reported to University authorities.

*Please look at the following interesting graph of material retention vs. time lapse from first exposure until review (retention curve) and the subsequent tips for textbook reading

Homework Set #

 Quiz Date

Homework Assigment

1
9/1
371_Homework1.pdf 
(solutions for #5,6,7,8)
 
2
 9/10
9/18
 371_Homework2.pdf 
371_LabWork1.pdf  (instructions for submission)
3
 9/17
10/1
 371_Homework3.pdf
371_LabWork2.pdf
4
 no quiz
 371_Homework4.pdf (material will be tested over on 9/29 - no quiz tho)
(solutions)


Derivations to Know for First Exam:
1.  Proof of the triangle inequality for vector norms
2.  Proof that || Ax || <= ||A|| ||x||
3.  Proof that (|| dx ||/ || x||)  <= k(A) * (|| db || / ||b||)
4. Derivation of how to go from [ M_(n-1) P_(n-1)...M_1P_1 A = U ] to [ PA = LU ]
5.  Derivation of how to get the equations that allow you to find the d_i's in the cubic spline interpolation (for interior nodes)
(You do not need to know any other proofs or derivations outside those listed above)

You should also commit to memory:  Statements of all major theorems (Cauchy-Schwartz theorem, error bounds for solutions to approximate matrix problems), all definitions (various kinds of error [absolute, relative, etc..], vector norm, matrix norm, condition number, Gaussian elimination with partial pivoting, LU decomposition, Lagrange form of full-degree polynomial interpolation)

10/08
 371_Labwork3.pdf
5
 10/13
10/24
 371_Homework5.pdf
371_Labwork4.pdf

10/29
11/6
 371_Homework6.pdf
(solutions to hw6)
371_Labwork5.pdf

no
quiz
 371_Homework7.pdf
(solutions to hw7... material here will be tested over on 11/3)

 11/24
11/23
 371_Homework8.pdf
(solutions)
371_Labwork6.pdf


371 Final Exam guidelines
















































Final Review