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Homework

All problems are taken from the exercises in the lecture notes at the end of each chapter or appendix. For instance, "B.1" refers to problem 1 at the end of Appendix B. You can turn the homework in in class or at my office before 03:00 pm on the due date.

Our expectations regarding homework

Solutions will be graded for exposition as well as for correctness. Getting the right answers should be your first concern, but recording them in a comprehensible manner is important too. Not only do we expect your papers to be neat and legible (and please staple the pages together to minimize the risk of loss!), but we also wish for you to develop a habit of writing your solutions in complete English sentences with adequate explanatory detail. A good guideline is to write solutions the way you would like to see them written a textbook.

We encourage discussing homework problems with your classmates, either in person or via the piazza homework page. Copying other people's solutions is not allowed however and will be penalized by the grader.

Due dateHomework
03 Sep1.1, 1.2*), 1.3**), 1.5, B.1
10 Sep1.4, 1.6, 2.2, 2.3, B.4, B.5†)
17 Sep2.1, 2.4, 2.5, 2.6, 2.8, 2.9
24 Sep2.10, 2.11, 2.12, B.6, B.7 ‡), extra problems
01 OctNo homework (exam on Friday)
08 Oct2.7, 2.13, 2.14, 3.3, 3.4, 3.14
15 Oct2.16, 3.11, 4.1, 4.3
22 Oct4.4, 4.5, 4.6, 4.8, 4.9, 5.1, 5.3
29 Oct4.12, 4.13, 5.2 ¶), 5.4, extra problem, 6.1
05 NovNo homework (exam on Friday)
12 Nov5.6, 6.2, 6.3, 6.4, 6.5, 6.6
19 Nov6.7, 6.11, 6.12, 7.1, 7.2, 7.3
26 NovNo homework (Thanksgiving recess)
05 Dec7.6, 7.7§), 8.1¥), 8.3, 8.4, 8.6, 9.1, 9.2

*) Here $a$ denotes a nonzero constant.

**) Please parametrize the curve in Cartesian coordinates.

†) In part (ii) also make the following assumptions: $f$ is homogeneous of degree $p$ and $f({\bf0})\ne0$.

‡) Typo in B.7(iv): replace $x_n-1$ with $1-x_n$.

¶) Typo in 5.2 corrected (see extra problem sheet).

§) part (iv): $1/k!$ should read $k!$.

¥) $\mathbf{R}^n$ should read $\mathbf{R}^3$