# Math 246H Homework, Spring 2018

Below are the weekly homework assignments. These will not be collected. However the material from the homework will appear on the quizzes and exams.

These assignments are are subject to changes announced on this webpage.

## Homework Assignments

(The chapter numbers refer to the online lecture notes by Prof. Levermore. The dates refer to when the homework was first posted on this website.)
January 25:
Chapter 0: 1, 3, 4, 11.
Chapter I.1: 1, 5, 8, 9.
Chapter I.2: 4, 9, 10, 13.

February 1:
Chapter I.3: 4, 9, 11, 15, 19, 20.
Chapter I.4: 4, 8.

February 8:
Chapter I.4: 9, 12.
Chapter I.5: 2, 3, 6, 16.
Chapter I.6: 2, 4, 7, 12, 14, 15, 17.
Chapter I.7: 2, 3, 4, 5, 10, 11, 13, 19, 20.

February 15:
Chapter I.7: complete the exercises from last week + problem 17.
Chapter II.1: 1, 3, 4, 14.

February 22:
Chapter II.2: 3, 4, 6, 14, 15.
Chapter II.3: 1, 3, 4, 5.
Extra problem: Rewrite the third order equation
y'''+13y''-y'+4y=0
as a system of three first order equations. Then,
rewrite the system of three first order equations
as a single matrix first-order equation.

March 13:
Chapter II.4: 1, 5, 7, 13, 20, 21, 22, 25, 26, 33.
Chapter II.5: 1, 5, 6, 9, 14, 16, 19.
Chapter II.6: 3, 4, 9, 13, 15.

March 29:
Chapter II.7: 2, 3, 7, 16, 17, 21.
Chapter II.9: 1, 2, 3, 4, 5, 7, 10, 16, optional: 29, 30.

April 5 (not included in midterm 2):
Chapter II.6: 21,22,23,24,25,26,27.
Chapter II.7: 8,9,18,19.

April 12:
Chapter II.9: 1, 2, 3, 4, 5, 7, 10, 16, optional: 29, 30.
Chapter III.1: 6, 8, 10, 12.
Extra problem: Give a full rigorous proof of
(a) the Theorem on p. 4 of the lecture notes of II.9 (concerning the Laplace transform of an exponential times a function).
(b) the Theorem on page 9 of the lecture notes of II.9 (concerning the Laplace transform of the derivative of a function).

April 19 (we may not cover all of this this week though):
Chapter III.2: 2, 3, 4, 8, 11.
Chapter III.2: 13, 15, 16, 19, 20, 21.
Chapter III.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 19, 20, 23, 29, 30.

April 26 (we may not cover all of this this week though):
Chapter III.4: 1, 3, 4, 10, 12, 15, 17, 20, 22.
Chapter III.5: 1, 3, 4, 11, 12, 14, 25, 27, 28.

May 3:
Chapter III.7: 1, 2, 3, 4, 5, 6, 13, 20, 25, 29 (only for alpha=2), 30, 31.